Suppose $a$ is an integer such that $0 \le a \le 14$, and $235935623_{74}-a$ is a multiple of $15$. What is $a$

Answers

Answer 1

The value of a is zero. The value of a can be determine by analysis the expression given.

How to calculate a value?

As per given comparison is 0 ≤ a ≤ 14 and 235935623₇₄-a. We can se the equation is not in the same base number where one is the decimal and another is base 74. So, the first things we have to do is to convert one of them to another base number. Here, I convert base 74 to base 10 or decimal. Hence, the comparison will be will be

0 ≤ a ≤ 14.  1.835.684.416.755.975- a

After that, Use the fact that 74 mod 15 = -1. The result of the mod will be 2-3+5-9+3-5+6-2+3 = 0  or in other words a = 0

Learn more about integer here

https://brainly.com/question/929808

SPJ4


Related Questions

Jim usually sails his boat 20 miles from the boat launch to Kingston. Today he is driving the 16 miles from the boat launch to the marina. How far will he sail across the lake to Kingston from the marina?

HURRY PLEASE

Answers

Jim will need to sail 4 miles across the lake from the marina to Kingston.

What is miles?

Miles is a unit of measurement used to measure the distance between two locations. It is equal to 1.609 kilometers and is commonly used in the United States and the United Kingdom. Miles are frequently used to measure the distance between two cities, the distance a person has traveled, or the length of a road or highway. It is also sometimes used to measure the distance of a flight.

Since he is driving 16 miles from the boat launch to the marina, he will have covered a total of 20 miles by the time he arrives at the marina. From there, it is 4 more miles to Kingston. Therefore, he will need to sail a total of 4 miles to reach his destination.

To know more about miles click-
https://brainly.com/question/25631156
#SPJ1

One number is 6 more rhan another number. The sum of their squares is 90.

Answers

Answer:

You know that x = -9, and 3 or The first number is 3, the other -9

Step-by-step explanation:

First number: x

Second: x + 6

(x)^2 + (x + 6)^2 = 90

x^2 + x^2 + 6x + 6x + 36 = 90

Simplify more

2x^2 + 12x + 36 = 90

2x^2 + 12x - 54 = 0

2(x + 9)(x - 3) = 0

A chef makes 750 surulfitos and
donates half of them to a soup kitchen.
The rest are divided equally among 16 plates.
How many surullitos are left over?

Answers

The quantity of the surullitos left over is 7.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a chef makes 750 surulfitos and donates half of them to a soup kitchen. The rest are divided equally among 16 plates.

The leftover surulfitos are,

E =  750 / ( 2 x 16 )

E = 375 / 16

E = 23⁷/₁₆

The remainder is 7 so the leftover surullitos are 7.

To know more about an expression follow

https://brainly.com/question/17293137

#SPJ1

Two square stepping stones are placed in a garden as shown below. Each stepping stone has a side length of 2 feet. The rest of the garden will have flowers in it.
How many square feet of the garden could contain flowers?
20 ft²
32 ft²
16 ft²
24 ft²

Answers

The square feet of the garden that could contain flowers, given the side lengths of the stepping stone and the garden, is C. 16 ft².

How to find the square feet of the garden ?

To find the portion of the garden that could contain flowers, first find the total area of the entire garden ;

= Length of garden x Width

= 4 x 6

= 24 ft ²

The stepping stones will not contain flowers so their area should be deducted from the area of the garden :

= 24 - ( 2 x ( 2 x 2 ))

= 24 - ( 2 x 4 )

= 24 - 8

= 16 ft²

Find out more on area at https://brainly.com/question/27782433

#SPJ1

what is the probability that a two-digit number selected at random has a tens digit less than its units digit? express your answer as a common fraction.

Answers

The probability that a two-digit number selected at random has a tens digit less than its units digit is 0.2667 (4/15).

What is a probability simple definition?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%

P= A/B

  = 4/15

There are 90 two-digit numbers (99-9). Of these, six numbers are divisible by 15 (15, 30, 45, 60, 75, 90). This is also divisible by 5. Therefore, the preferred case is 30-6 = 24. Therefore, the required probability is 24/90 = 4/15.

The probability of an event can be calculated by simply dividing the number of favorable results by the total number of possible results using a probabilistic expression. Whenever you are uncertain about the outcome of an event, you can talk about the probability of a particular outcome, that is, its potential.

Learn more about probability here

brainly.com/question/24756209

#SPJ4

7. Last year Troop No. 113 sold 100 dozen cookies. How
many will they have to sell this year to have a 20% increase
in sales?

does somebody know the answer also please try to explain or show the work worth 40 points help a girl out

Answers

Answer:

120 dozen cookies

------------------------------------

100 dozen add 20% is:

100 + 100*20/100 = 100 + 20 = 120 dozen

Find the domain in interval notation of (f/g)(x)

Answers

The domain of (f/g)(x) in interval notation is [-3, 6].

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

From the graph,

f(x) has x values from x = -1 to x = 6

g(x) has x values from x = -3 to x = 5

The function f(x) is f(x) = mx + c

Find two coordinates from the graph of f(x).

= (-1, 3) and (6, 4)

m = (4 - 3) / (6 + 1) = 1/7

Now,

3 = (1/7) x -1 + c

3 = -1/7 + c
c = 3 + 1/7

c = 22/7

f(x) = (1/7)x + 22/7  _____(1)

The function g(x) is f(x) = mx + c

Find two coordinates from the graph of g(x).

= (-3, 2) and (5, 4)

m = (4 - 2) / (5 +3) = 2/8 = 1/4

Now,

2 = 1/4 x (-3) + c

2 = -3/4 + c
c = 2 + 3/4

c = 11/4

g(x) = (1/4)x + 11/4  _______(2)

Now,

From (1) and (2)

(f/g)(x)

= f(x)/g(x)

= ((1/7)x + 22/7) / ((1/4)x + 11/4)

The domain of f(x) and g(x) will include the domain of both f(x) and g(x).

So,

x = -1 to x = 6 and x = -3 to x = 5

This can be written as,

[-3, 6]

Thus,

The domain of (f/g)(x) is [-3, 6].

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Solve for y: 2x + y = 7 and -2x + 3y = -3

Answers

Answer:

[tex]y=1[/tex]

Step-by-step explanation:

Adding the equations yields [tex]4y=4[/tex]. Therefore, [tex]y=1[/tex].

Need help with another one of these, I still can't seem to understand.

Answers

The location of B such that the ratio of AB to BC is given as follows:

B = 28.

How to obtain the location of B?

The location of B in the context of this problem is obtained applying the proportion, which is the ratio between the locations.

The coordinates of each point in this problem are given as follows:

A = 4.B = x.C = 36.

The length of each segment in this problem is given as follows:

AB = B - A = x - 4.BC = C - B = 36 - x.

The ratio of AB to BC is 3 to 1, hence the following proportional relationship is established:

AB/BC = 3.

(x - 4)/(36 - x) = 3.

Applying cross multiplication, we can solve to obtain the value of x, representing the location of B, as follows:

x - 4 = 108 - 3x

4x = 112

x = 112/4

x = 28.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The algebraic dimensions of a rectangular prism are:

x, x−2, and x+8

and the volume is 96 square inches.

What are the numeric dimensions of the prism? Work must show evidence of the skills you learned in this chapter. Fill in the blanks in NUMERIC order from least to greatest dimension.

Answers

Therefore the numerical order of the dimensions of rectangular prism is 8, 12

What is dimensions?

The minimal set of coordinates required to represent any point inside a mathematical space is known as the dimension of the space in physics and mathematics. As a result, a line has a dimension of one since a point on it may be specified by a single coordinate, such as the point at 5 on a number line.

What is minimal set ?

We have a minimum set when a group of words can all be distinguished from one another by altering one phoneme (always in the same location in the word). feat, fit, fat, fate, and foot were used. Big, Pig, Rig, Fig, Dig, and Wig might be included in another minimum list based on consonant phonemes.

The equation for the volume of a rectangular prism:

V = l × w × h

Given dimensions are x, x-2, and x+8

V = (x)(x-2)(x+8) = 96

x^3 - 2x^2 + 8x = 96

x^3 - 2x^2 + 8x - 96 = 0

(x-12)(x+4)(x-8) = 0

Therefore, x = 12, -4, 8

As the dimension of prism can't be negative, we can discard -4 as one of the dimension.

Thus, the numerical order of the dimensions of rectangular prism is 8, 12

To know more about prism visit:

https://brainly.com/question/29722724

#SPJ1

0 Arrange the numbers shown in descending order.
9
13
312' 4'
312%,
4.2 x 10-2,
TT

The bot won’t input the equation right so can anyone pls help me

Answers

312%, 312' 4', 13, 9, 4.2 x 10-2. This is a decending order.

What is meant by decending?

Moving downward, tiny, or least from the top, big, or large, is referred to as descending.Descending order refers to arranging items, such as numbers, amounts, lengths, etc., from a higher value to a lower one. The diminishing order is an alternative name for it.In general, the phrases Ascending and Descending denote the smallest to largest, 0 to 9, and/or A to Z, and the largest to smallest, 9 to 0, and/or Z to A, respectively.In contrast to ascending order, descending order lists character data types from lowercase z to uppercase A and numerical data types from highest to lowest.The order of date and datetime data is from most recent to earliest, and the order of interval data is from longest to shortest duration of time.

To learn more about decending refer to

https://brainly.com/question/29162826

#SPJ1

The triangle to the right has an area of 35 square units. What would be the area of a new triangle if the scale factor were 2? Show your work with one equation​

Answers

The area of triangle will be 140 square units.

What is scale factor?

The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.

K is the scaling factor for x in the equation y = Kx. This expression can also be visualised in terms of proportionality:

y ∝ x

K can therefore be regarded as a proportionality constant in this context.

Given the area of triangle = 35 sq. units

and scale factor is 2

The base times the height of a triangle equals its area. Triangle ABC's base and height each double when a scale factor of 2 with centre A is used, increasing the area by a factor of 4 as a result.

area of triangle = 1/2bh

where b = base and h = height

given 1/2bh = 35

when scale factor is 2

new base = 2b

new height = 2h

area will be 1/2(2b)(2h) = 4/2bh

so  1/2bh = 35

4/2bh = 35 x 4 = 140 square units.

Hence the area is 140 square units.

Learn more about scale factor;

https://brainly.com/question/29047298

#SPJ1

Zoey recorded the grade level and instrument of everyone in the middle school School of Rock below.


What percent of the 8th graders in the School of Rock play guitar? Round your answer to the nearest whole number percent.

Answers

When Zoey logged the grade level and instrument of every middle school student, she discovered that 28% of the eighth graders at the School of Rock play the guitar.

what is percentage ?

In mathematics, a ratio or number expressed as a fraction of 100 is called a percentage. Also occasionally used are the acronyms "pct.," "pct," and "pc." However, the percentage symbol "%" is widely used to represent it. The % quantity is dimensionally empty. Basically, percentages are fractions when the denominator is 100. A percent symbol (%) should be placed next to a number to indicate that it is a percentage. For instance, you score a 75% on a test if you properly answer 75 out of 100 questions (75/100). When calculating percentages, multiply the result by 100 after dividing the amount by the total. By multiplying (value/total) by 100%, the percentage is determined.

given

from the table

number of 8th grader = 64

8th grader playing guitar = 18

% of 8th grader playing grader = 18/64*100

= 0.28125*100

= 28.125%

When Zoey logged the grade level and instrument of every middle school student, she discovered that 28% of the eighth graders at the School of Rock play the guitar.

To know more about percentage visit:

https://brainly.com/question/28269290

#SPJ1

Pls help.

Answer and step by step explanation pls

Answers

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3(ab^2)^2}{6a^3b^{-3}}\implies \cfrac{3}{6}\cdot \cfrac{(ab^2)^2}{a^3b^{-3}}\implies \cfrac{1}{2}\cdot \cfrac{(a^2b^4)}{a^3b^{-3}}\implies \cfrac{1}{2}\cdot \cfrac{b^4 b^3}{a^{-2}a^3} \\\\\\ \cfrac{1}{2}\cdot \cfrac{b^{4+3}}{a^{-2+3}}\implies \cfrac{1}{2}\cdot\cfrac{b^7}{a^1}\implies \cfrac{b^7}{2a}[/tex]

PLEASE HELP

question 5,


The average starting salary for a lawyer is $79,590 but can vary by as much as $4,236. Which inequality could be used to determine the average salary range, if x represents the starting salary?

|x − 4,236| ≥ 79,590
|x − 4,236| ≤ 79,590
|x − 79,590| ≥ 4,236
|x − 79,590| ≤ 4,236

Answers

To determine the average salary range for a lawyer, you can use the inequality |x - 79,590| ≤ 4,236. This inequality states that the starting salary (x) can vary by as much as $4,236 above or below the average starting salary of $79,590.

The other inequalities given in the question do not accurately represent the average salary range, because they do not take into account the fact that the salary can vary both above and below the average.

For example, the inequality |x - 4,236| ≥ 79,590 states that the starting salary must be at least $79,590 more than the average starting salary. This does not accurately represent the salary range, because the starting salary can be both above and below the average.

I hope this helps.

please help quickly
The polygons are similar. x = ___ Write your answer as a decimal

Answers

The value of x of the quadrilateral using the concept of similar quadrilaterals is; x = 1.5

How to interpret Similar Quadrilaterals?

Two quadrilaterals are referred to as similar quadrilaterals when the three corresponding angles are the same and as a result the fourth angles automatically become the same due to the fact that the interior angles of a quadrilateral sum up to 360 degrees and two adjacent sides have equal ratios.

Thus, we can say by the concept of similar quadrilaterals that;

AB/LM = BC/MN

Thus;

14/(x + 9) = 10/(x + 6)

14(x + 6) = 10(x + 9)

14x + 84 = 10x + 90

14x - 10x = 90 - 84

4x = 6

x = 1.5

Read more about Similar Quadrilaterals at; https://brainly.com/question/5715879

#SPJ1

What is the discount on a 1,725 couch marked 15% off?

Answers

We can find the discount by taking the product between the price of the couch and the decimal form of the percentage, the discount on the couch is equal to $258.75

What is the discount on the couch?

We know that for a couch whose price is $1,725, we apply a discount of the 15%.

Then we just need to find the 15% of $1,725, to do so, we need tu multiply the number by the decimal form of that percentage.

To get the decimal form, you need to take the quotient between the percentage and 100%, you will get:

15%/100% = 0.15

Then the discount is:

0.15*$1,725 = $258.75

Learn more about discounts by reading:

https://brainly.com/question/7459025

#SPJ1

Graph the curve x = cos t + 2 cos 2t, y = sin t + 2 sin 2t to discover where it crosses itself. Find equations of both tangents at that point.

Answers

For given parametric curve the equations of both tangents at point where it crosses itself are: y = ± (√15x + 2√15)

The graph of parametric curve x = cos t + 2 cos 2t, y = sin t + 2 sin 2t (t ∈ [0, 2π]) is as shown below.

From the graph we can observe that, the curve crosses itself at (-2, 0).

Let x = -2

cos t + 2 cos 2t = -2,

and y = 0

sin t + 2 sin 2t = 0

sin t + 2 (2 sin(t) cos(t)) = 0

sin t + 4 sin t cos t = 0

sin t(1 + 4 cos t) = 0

sin(t) = 0   OR   1 + 4 cos(t) = 0

sin(t) = 0   OR   cos(t) = -1/4

From sin(t) = 0

⇒ t = 0 or t = π,

but for these values of t, cos t + 2 cos 2t = -2 is not true.

This means, the point (-2, 0) must corresponds to cos(t) = -1/4

[tex]\Rightarrow t=cos^{-1}(\frac{1}{4} )[/tex]

When cos(t) = -1/4,

sin(t) = [tex]\frac{\sqrt{15} }{4}[/tex]                ..............(by identity sin²(t) + cos²(t) = 1)

And

[tex]sin(2t) = 2sin(t)cos (t)\\sin(2t) = 2\times \frac{\sqrt{15} }{4} \times (\frac{-1}{4} )\\\\sin(2t) = -\frac{\sqrt{15} }{8}[/tex]

[tex]\\\\cos(2t)=2cos^2{t} - 1\\\\cos(2t)=2(\frac{-1}{4} )^2 - 1\\\\cos(2t)=\frac{1}{8}-1\\\\ cos(2t)=\frac{-7}{8}[/tex]

Now we find derivative of given parametric equations with respect to t.

for x = cos t + 2 cos 2t,

dx/dt = -sin(t) -4 sin(2t)

y = sin t + 2 sin 2t

dy/dt = cos(t) + 4 cos(2t)

Consider dy/dx

[tex]= \frac{\frac{dy}{dt} }{\frac{dx}{dt} }\\\\= \frac{cos(t) + 4 cos(2t) }{-sin(t) -4 sin(2t)}\\\\=\frac{\frac{-1}{4}+4~\frac{-7}{8} }{-\frac{\sqrt{15} }{4}-4~\frac{\sqrt{15} }{8} }\\\\=-\sqrt{15}[/tex]

This means, slope m = -√15

We have the point (−2,0)

Using equation of line y=mx+b the y-intercept would be,

0 = -√15 (−2) + b

b = -2√15

So, the equation for this tangent line :

y = -√15x - 2√15

And the equation of other tangent would be,

y = √15x + 2√15

Learn more about the parametric curve here:

https://brainly.com/question/15585522

#SPJ4


1. A car has a mass of 1200 kg.
The Change
in Momentum
a. If the braking force for a car is 10,000 N, calculate the impulse if
the brake is applied for 1.2 s.
b. What is the change in velocity of the car over this 1.2 s time
interval?

Answers

(a) The impulse of the car of mass 1200 kg is 12000 Ns.

(b) The change in velocity of the car is 10 m/s.

What is an impulse?

Impulse is the product of force and time.

(a) To calculate the impulse of the force, we use the formula below

Formula:

I = Ft................. Equation 1

Where:

I = ImpulseF = Forcet = Time

From the question,

Given:

F = 10000 Nt = 1.2 s

Substitute these values into equation 1

I = 1.2×10000 = 12000 Ns

(b) To calculate the change in velocity of the car, we use the formula below

ΔV = I/m.................... Equation 2

Where:

ΔV = Change in velocitym = Mass of the car

From the question,

Given:

m = 1200 kgI = 12000 Ns

Substitute these values into equation 2

ΔV = 12000/1200ΔV = 10 m/s

Hence the change in velocity of the car is 10 m/s.

Learn more about impulse here: https://brainly.com/question/20586658

#SPJ1

If a number is added to the numerator of? and the same number is subtracted from the denominator, the result is 2. Find the number.

Answers

Answer:

i think it's true am a 6 grader i really try

Step-by-step explanation:

The integral (2 Points) sort dx = O 3 pl (1-In 3) (1.-In 3) + € 9" e 3* In 3 2 in 3 + c 2 In 3 In 3 3*(1 – In 3) + C 34 In 3 2 / + c

Answers

The integral, ∫ [ (9ˣ - eˣ )/3ˣ ] dx evaluate value is 3ˣ/ ln(3) - eˣ/3ˣ(1 - ln 3). So, the correct answer is option (c).

Integration is defined as the process of finding the area of the region under the curve. This is done by drawing as many small rectangles covering up the area and summing up all their areas. If d/dx(F(x) = f(x), then ∫ f(x) dx = F(x) + C, where C is integration constant and indefinite integrals. We have an integral, say , I = ∫ [ (9ˣ - eˣ )/3ˣ ] dx

and we have to determine its value.

I = ∫ [ (9ˣ - eˣ )/3ˣ ] dx

=> I = ∫ [ (9ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3²ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3²ˣ/3ˣ - eˣ/3ˣ ] dx

=> I = ∫ [ (3ˣ - eˣ/3ˣ ] dx

=> I = ∫ 3ˣ dx - ∫ eˣ3⁻ˣ dx

=> I = 3ˣ/ ln(3) - eˣ/3ˣ(1 - ln 3) + C

( since, ∫aˣ dx = aˣ/ln a)

where C --> integration constant

So, the required value is 3ˣ/ln(3)-eˣ/3ˣ(1 - ln 3).

To learn more about Integration, refer:

https://brainly.com/question/27419605

#SPJ4

Complete question:

Find integral ∫ [ (9ˣ - eˣ )/3ˣ ] dx .

a) 3ˣ - eˣ/(1 - ln 3) + C

b) 9ˣ/2ln3 - eˣ/(3ˣ ln 3) + C

c) 3ˣ/ln3 - eˣ/3ˣ(1 - ln 3) + C

d) 3ˣ/ln3 - eˣ/3ˣ + C

how do you write out 1 and 2 from 1.25?? ​

Answers

Answer:

1_ones and 2 _tenth

Step-by-step explanation:

the number in front of the point they start from ones continues

there is a line that includes the point (1, 7) and has a slope of 10. what is its equation in slope-intercept form?

Answers

Answer:

y=mx+c

Step-by-step explanation:

how to evaluate 3x-5/y for x = 3, y = 4

Answers

Answer: 7.75 (easy as cake)

Step-by-step explanation:
if x=3 then 3x is 3*3 which is 9
so the problem becomes 9-5/y
and if y=4 then 5/y is 5/4 which is 1.25.
so then the problem becomes 9-1.25 which is:
7.75
as my dad always says,
MATH IS FUN IF YOU KNOW THE RULES.

Derek is riding his bicycle with a 36-in. diameter wheel in a
10-mi race How many revolutions will each wheel make in the
race?. Round your answer to the nearest tenth. Use 3.14 for T
(Hint: 12 in. = 1 ft; 5280 ft = 1 mi)
6-7

Answers

The number of revolution each wheel make is 5605.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is given as πr².

We have,

Diameter of the wheel = 36 inches

The radius of the wheel = 18 inches

The circumference of the wheel = 2πr.

The total distance traveled = Circumference of the wheel x Number of revolutions (N).

Now,

10 miles = 10 x 5280 ft = 10 x 5280 x 12 inches

10 miles = 2πr x N

N = (10 x 5280 x 12) / (2 x 3.145 x 18)

N = 633600 / 113.04

N = 5605

Thus,

The number of revolutions is 5605.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ1

How do you explain a pie chart in a presentation?

Answers

Answer: 4 pie chart

Step-by-step explanation:

Each pie chart  [tex]\pi[/tex] wil have 4 parts to it  depending on  how the shape of the pie  is

The radius of a wheel is 28cm. How many revolutions will it make in travelling 3.52km?​

Answers

Answer:

2001

Step-by-step explanation:

First, let us find the circumference of the wheel ( circle ) using the below formula.

C = 2πr

Here,

r ⇒ radius ⇒ 28 cm

Let us solve it now.

C = 2 × π × 28

C = 175.93 cm

And now let us covert the travelling distance to centimeters.

( For that, multiply km by 100000 )

3.52km = 352000 cm

Now, to find the number of revolution, divide the total distance travelled by its circumference.

352000/175.93 = 2000.79

Approximately, 2001 revolutions

The number of revolutions made by a wheel of 28cm radius covering a distance of 3.52km is 2000.8.

Given,

Radius, r = 28cm

Circumference = 2πr = 56π cm

Circumference = Distance traveled in one revolution

The distance traveled by wheel = 3.52km = 3520m = 352000cm

Let N = number of revolution

Now we know that,

Total distance = Number of revolutions × 1 revolution distance(circumference)

or 352000 = N × 56π

or N = 352000/56π

or N = 2000.8

Therefore, the number of revolutions made by a wheel of 28cm radius covering a distance of 3.52km is 2000.8.

To learn more about the number of revolutions:

https://brainly.com/question/29601372

Written as rate 5 miles in 4 hours would be ____ miler per hour

Answers

For the distance of 5 miles covered in 4 hours, we can write the unit rate as {r] = 1.25 miles/hour.

What is unit rate?

The rate at which one value changes with respect to per unit change in the other value is called the unit rate. Mathematically -

{ r } = y/x                                                          .... Eq { 1 }

Given is the distance of 5 miles covered in 4 hours.

We can write the unit rate as -

{r} = 5/4

{r} = 1.25 miles/hour

Therefore, for the distance of 5 miles covered in 4 hours, we can write the unit rate as {r] = 1.25 miles/hour.

To solve more questions on unit rate, visit the link below -

https://brainly.com/question/29781084

#SPJ1

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.

Answers

The solution to the system of equations for this problem is given as follows:

a. (1, -1, -4).

How to solve the system of equations?

The system of equations for this problem is defined as follows:

2x + y + z = -3.3x - 5y + 3z = -4.5x - y + 2z = -2.

The augmented matrix for the system is given as follows:

[tex]\left[\begin{array}{cccc}2&1&1&-3\\3&-5&3&-4\\5&-1&2&-2\end{array}\right][/tex]

To place in row-echelon form, first only the first row of the first column may have a diagonal different of zero, hence the transformation is given as follows:

R2 = 2R2 - 3R1R3 = 2R3 - 5R1

Hence the matrix is given as follows:

[tex]\left[\begin{array}{cccc}2&1&1&-3\\0&-13&3&1\\0&-7&-1&11\end{array}\right][/tex]

Now the element at the third row and second column must be of zero, hence the transformation is of:

R3 = 13R3 - 7R2

Thus the matrix is of:

[tex]\left[\begin{array}{cccc}2&1&1&-3\\0&-13&3&1\\0&0&-34&136\end{array}\right][/tex]

Thus the solution for z is given as follows:

-34z = 136

34z = -136

z = -136/34

z = -4.

The solution for y is given as follows:

-13y + 3z = 1.

13y = 3z - 1

13y = -13

y = -1.

The solution for x is given as follows:

2x + y + z = -3.

2x = -3 - y - z

2x = -3 + 1 + 4

2x = 2

x = 1.

Meaning that option a is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

25% discount, the price of a t shirt was 15$. What was the price before the discount

Answers

The charge for the t-shirt earlier than the cut price of 25 percent is $20.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, the 25% discount, the price of a t-shirt was 15$.

Since, After 25% discount price of t-shirt = 15

Thus

Original price of t-shirt = 15 * 100/75

Original price of t-shirt = 20

Therefore, the price before the discount of 25 percent is $20.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ

Other Questions
25. To calculate the percent of change, you use the formula (new-old)/oldx100. Logan bought a pair of Air Jordans for $400. He sold them for $600.What was the percent of increase?STRESCENSOANSKEEM SUAREJANNEEUROTOSTORYPATALPRESSIONENStiphimngiveDifferentiateSURVERINGSPeschounCOMEAREADSERTQueriePERFORMPARAANDRE4 pointsINSTER ENER Sammi buys a painting for 80 and sells it for a 15% profit.How much does he sell the painting for? Consider an I-MR-chart for plotting the range. The point that is plotted on the chart is calculated by taking the absolute value of the difference between successive observations.TrueFalse Isaac invests money in an account paying simple interest. He invests $120 and no money is added or removed from the investment. After one year, he has $129. 60. What is the simple percent interest per year?. An event schema is also known as a cognitive ________.a. stereotypeb. conceptc. scriptd. prototype maxwell has a very high metabolic rate, is skinny, and has protruding eyes. these are symptoms of Jacob has $1 worth of nickels and dimes. He has a total of 18 nickels and dimes altogether. By following the steps below, determine the number of nickels x, and the number of dimes y, that Jacob has. What did Frederick Douglass say in his speech about slavery? Traffic signs in traffic lights warn the driver of ____ hazards or road changes? What does the pragmatic cueing system refer to? How long does it take for dishes to dry in dishwasher? Using tabulated values from the textbook Resource section or the chemlibre links, calculate the standard reaction entropy of N2(g) + 3 H2(g) 2 NH3(g). (3 sig figs, units of J/K/mol) Three salt solutions are to be used in an experiment, a 0.5 g/dm3 solution (solution 1), a 1.5 g/dm3 solution (solution 2) and a 2.5 g/dm3 solution (solution 3). Which solution will contain the fewest salt particles in a particular volume? The partial factorization of x-x-12 is modeled withalgebra tiles.+X+X+X-X-X-X+I+X+X+X11+1I+11I1Which unit tiles are needed to complete thefactorization?O 3 negative unit tilesO 3 positive unit'tilesO4 negative unit tilesO4 positive unit tiles Which lists all of the x-intercepts of the graphed function? (0, 6)(1, 0) and (2, 0)(1, 0), (2, 0), and (3, 0)(1, 0), (2, 0), (3, 0), and (0, 6) What are the characteristics of financial market? A 14,700 N car is traveling at 25 m/s. The brakes are applied suddenly, and the car slides to a stop. The average braking force between the tires and the road is 7100 N. How far will the car slide once the brakes are applied? Using energy analysis? Choose the best definition of biosphere.Question 9 options:a.all of the ecosystems on the planetb.all of the communities in an ecosystemc.all of the ecosystems in a biomed.all of the populations in a community A molecule of Al 2 (SO 4 ) 3 contains:6 Al atoms12 S atoms 4 Oatoms12 O atoms QUICK PLEASE!!!!!! 100 POITNSWhich line of code will have "navy rainbow" as an output?class pencil: color = 'yellow' hardness = 2class pencilCase: def __init__(self, color, art): self.color = color self.art = art def __str__(self): return self.color + " " + self.art# main programpencilA = pencil()print (caseA)