In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt?.

Answer:

23,2.3,0.23,0.023

Step-by-step explanation:

*23÷10^0=23/1=23

*23÷10^1=23/10=2.3

*23÷10^2=23/100=0.23

*23÷10^3=23/1000=0.023

I hope it helps you..

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Answer:

23

23.23

0.23

0.023

The Perimeter of rectangle is 29n + 3 feet.

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

Perimeter of the rectangle = 2(length+width)

Given the paramters are;

width of a rectangle is 8n-6.5 feet and the length is 6.5n+8 feet.

W = 8n-6.5

L =  6.5n+8

Perimeter of the rectangle = 2(length+width)

Perimeter = 2(8n-6.5+ 6.5n+8)

= 2(14.5n + 1.5)

= 29n + 3

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An equation for the boiling point of this liquid is y = -0.001845x + 214.37. Also, the boiling point of this liquid at 2600 ft is equal to 209.573°F.

In order to write an equation for the boiling point of this liquid, we would have to first calculate its slope because the relationship between altitude and the boiling point of this liquid is linear.

Mathematically, the slope of any linear equation can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided about the altitudes and boiling points of this liquid, we have the following parameters:

Point (x, y) = (8300, 199.06)

Point (x, y) = (4300, 206.44)

Substituting the given points into the formula, we have;

Slope, m = (206.44 - 199.06)/(4300 - 8300)

Slope, m = 7.38/-4000

Slope, m = -0.001845

At point (8300, 199.06), the equation of this line is given by:

y - y₁ = m(x - x₁)

Where:

y - 199.06 = -0.001845(x - 8300)

y - 199.06 = -0.001845x + 15.31

y = -0.001845x + 15.31 + 199.06

y = -0.001845x + 214.37

Now, we can calculate the boiling point of this liquid at 2600 ft:

y = -0.001845(2600) + 214.37

y = -4.797 + 214.37

y = 209.573°F.

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Complete Question:

The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8300 ft, the liquid boils at 199.06°F. At an altitude of 4200 ft, the liquid boils at 206.44°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the liquid at 2600 ft?

Answer:

i)cl^9. (ii)4^12

Step-by-step explanation:

when multiplying , if the pewers have the same base you add ao 6+3=9

24÷6=4

16-4=12

4^13. 4( to the power of)

The man threw the basketball from 30 inches above the ground. It traveled 45 inches to the floor, then 40 inches to the boy, who caught it. The angles formed by the path were congruent. The distance from the floor to the boy catching the ball was 85 inches.

Distance from man to floor: 30 in. + 45 in. = 75 in.

Distance from floor to boy: 40 in.

Total distance: 75 in. + 40 in. = 115 in.

Distance from floor to boy catching the ball: 115 in. - 30 in. = 85 in.

The man threw the basketball from 30 inches above the ground. This is the distance from the man to the floor. The basketball then traveled 45 inches from the man to the floor, making the total distance 75 inches. It then traveled 40 inches from the floor to the boy who caught it. This makes the total distance 115 inches. To find the distance from the floor to the boy catching the ball, we subtract the distance from the man to the floor (30 inches) from the total distance (115 inches). This gives us a result of 85 inches, which is the distance from the floor to the boy catching the ball.

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Answer:

D

Step-by-step explanation:

It is D

The Formula to calculate the area of the equilateral triangle with side length as "x" units is [tex]\frac{\sqrt{3} }{4} x^{2}[/tex] square units .

What is an Equilateral Triangle ?

An equilateral triangle is defined as a type of triangle in which all the sides and all the angles are equal in measure .

The measure of each angle of equilateral triangle is 60° .

The area of the equilateral triangle can be calculated by the formula :

Area = [tex]\frac{\sqrt{3} }{4} x^{2}[/tex]  , where x is = the side of the equilateral triangle .

For Example : if the side length of equilateral triangle is 2 units ,

then its area will be = [tex]\frac{\sqrt{3} }{4} \times 2^{2}= \frac{\sqrt{3} }{4} \times 4 =\sqrt{3}[/tex] square units .

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Answer:

  24

Step-by-step explanation:

You want the largest of three numbers that have the ratios 1 : 2 : 3 and have a sum of 48.

The sum of the ratio units is 1+2+3 = 6. The largest number is 3/6 = 1/2 of the sum:

  (1/2) · 48 = 24

The greatest of the three numbers is 24.

__

Additional comment

The other two numbers are 8 and 16.

Answer:

range of r is between -1 and 1.

Step-by-step explanation:

(-1)^2 = 1, 0^2 = 0 and 1^2 = 1

Answer:

less than a mile is the answer

The equation that would model this situation is 2a + 3p = 24

From the question, we have the following parameters that can be used in our computation:

Also, from the question, we have

These parameters above mean that:

2 * a + 3 * p = 24

Evaluate

2a + 3p = 24

Hence, the equation is 2a + 3p = 24

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Answer:

it should be 21 cm the pencil is 21 cm

Sine, cosine, and tangent are the three letters in the acronym SOH CAH TOA. It is a mnemonic tool for remembering the three primary trigonometric ratios' definitions: tangent, cosine, and sine.

The following are the meanings of the acronym SOH CAH TOA: Cosine is the ratio of the adjacent side to the hypotenuse, tangent is the ratio of the opposite side to the adjacent side, and sine is the ratio of the side opposite the angle to the hypotenuse.

To help remember the definitions of the trigonometric ratios, SOH CAH TOA is a useful tool. It can be used to solve trigonometric equations, determine right triangle side lengths, and calculate triangle angles. It can also be used to calculate the sine, cosine, and tangent of any right triangle's angles.

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Answer:

(12,-5) and (13,-6) m = (6/-1) = -6

(13,3) and (14,3) m = 0

(3,-20) and (5,8) m = (8- -20)/(5-3) = 28/2 = 14

(1,2) and (3,8) m = (8-2)/(3-1) = 6/2 = 3

(-1,1) and (15,1) m = 0

(1,5) and (6,15) m = (15-5)/(6-1) = 10/5 = 2

(2,-12) and (10,12) m = (12--12)/(10-2) = 24/8 = 3

(1,8) and (3,0) m = (0-8)/(3-1) = -8/2 = -4

(0,0) and (-4,-8) m = (-8-0)/(-4-0) = -8/-4 = 2

(5,3) and (12,10) m = (10-3)/(12-5) = 7/7 = 1

Note that the slope of a line can be found by using the formula m = (y2 - y1)/(x2 - x1)

Step-by-step explanation:

1. (12,-5) and (13,-6) m= -1

2. (13,3) and (14,3) m= 0

3. (3,-20) and (5,8) m= 14

4. (1,2) and (3,8) m= 3

5. (-1,1) and (15,1) m= 0

6. (1,5) and (6,15) m= 2

7. (2,-12) and (10,12) m= 3

8. (1,8) and (3,0) m= -4

9. (0,0) and (-4,-8) m= 2

10 (5,3) and (12,10) m= 1

Answer:

3453.5

Step-by-step explanation:

(a(1) + a(2) + a(3) + a(4) + a(5) ) ÷ 5 = 790.6

a(5) = (790.6 × 5) - (80.2+91.6+123+204.7) = 3953 - 499.5 = 3453.5

(C) False. The chi-square distribution is skewed to the right.

'What is chi square?'

The chi-square test, a statistical method, is used to compare actual results with forecasts. This test's objective is to determine whether a disparity between observed and anticipated data is due to chance or a correlation between the variables under study. Thus, using a chi-square test is a fantastic alternative for better understanding and interpreting the relationship between our two category variables.

To perform a chi-square test to determine the statistical significance of the connection between s2q10 and s1truan, choose Analyze, Descriptive Statistics, and then Crosstabs.

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The variable x as the subject of the formula is x = (y + b)/a

From the question, we have the following parameters that can be used in our computation:

y = ax - b

The above equation is a linear equation

To make the variable x the subject of the formula, we start by adding the variable b to both sides of the equation

Using the above as a guide, we have the following:

y + b = ax - b + b

Evaluate the like terms

This gives

y + b = ax

Next, we divide both sides of the equation by a

This gives

x = (y + b)/a

Hence, the solution is x = (y + b)/a

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Answer:

Step-by-step explanation:

They're congruent triangles, so 1 = 40

The measure of the length of side v is 228.8 inches

From the question, we have the following parameters that can be used in our computation:

A triangle

The readings from the triangle are given as

Angle U = 82 degrees

Angle W = 79 degrees

Side w = 690 inches

Start by calculating the measure of angle V using the following equation

Angle V = 180 - Angle U - Angle W

Substitute the known values in the above equation, so, we have the following representation

Angle V = 180 - 82 - 79

Evaluate the difference

Angle V = 19

The length of V is then calculated by making use of the following sine law

v/sin(V) = w/sin(W)

Substitute the known values in the above equation, so, we have the following representation

v/sin(19) = 690/ sin(79)

This gives

v =/sin(19) * 690/ sin(79)

Evaluate the expression

v = 228.8

Hence, the length is 228.8 inches

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If a school wants to build a rectangular playground that will have a diagonal length of 75 yards. The wide of the playground be if the length has to be 30 yards is: 68.7.

Using Pythagoreans theorem to find the width of the playground

c² = √a² - b²

Where:

c = Width

a = 75 yards

c = 30 yards

So,

c² = √75² - 30²

c² = √5,625 -900

c² = √4,725

c= 68.7

Therefore we can conclude that the width is 68.7.

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Using Pythagoras theorem, the width is 68.74 yards

The Pythagorean Theorem is a fundamental mathematical principle that states that in a right triangle (a triangle with one angle equal to 90 degrees), the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

It can be expressed mathematically as:

c^2 = a^2 + b^2

Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

To solve this problem, we have to take the diagonal as the hypothenuse and the length as one of the legs.

75² = 30² + b²

b² = 75² - 30²

b = 68.74yds

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Answer:

B. 105

Step-by-step explanation:

right!!

Answer:

  E.  26.25°

Step-by-step explanation:

Given a diagram showing an angle at crossed chords of 2x, you want the value of x/2.

The measure of an inscribed angle is half the measure of the arc it subtends. This means the triangle interior angle at upper left has half the measure of the 40° arc it subtends: 20°.

The sum of angles in the triangle is 180°. The third angle is a vertical angle to the one marked 2x, so has that same measure. Then the relation is ...

  2x +20° +55° = 180°

  2x = 105° . . . . . . . . . . . . . subtract 75°

  x/2 = 26.25° . . . . . . . . . divide by 4

__

Additional comment

You can apply a "reasonableness" test to the answer choices. Any angle where lines cross cannot have a measure more than 180°. If that angle is 2x, then x/2 cannot be more than 180°/4 = 45°. Only one answer choice is less than 45°.

Answer:

6.5

Step-by-step explanation:

y = 6.5x

Answer:

y=5x-15

Step-by-step explanation:

Slope intercept form:y=mx+b

m=slope=5

y=0

x=3

b=y intercept

Plug it in

0=5(3)+b

Subtract 15 from both sides

-15=b

y=5x-15

Hope this helps :)

The function types of the table of values are

From the question, we have the following parameters that can be used in our computation:

The table of values

Function 1

In the table of values of this function, we have

x   2      3     4

y  5.5    7    8.5

In the above table of values, we can see that

As x increases by 1, the value of y constantly increase by 1.5

This means that the function is a linear function

This is so because of the constant increment

Function 2

In the table of values of this function, we have

x   0      3     6

y  1        8    6

In the above table of values, we can see that

As x increases by 1, the value of y is 2 to the exponent of the  corresponding y value

i.e. y = 2^x

This means that the function is an exponential function

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Answer:

12 (c)

Step-by-step explanation:

13.5 / 1.125

A- 37% of 142 is 52.54

B- 137% of 142 is 194.54

To calculate Percent of Number we use,

P% of Number = X

⇒P/100 x Number=X

where P is the percent to be calculated

and X is the required percentage of that number

A-37% of 142=  37/100 x 142

=0.37 x 142

=52.54

B- 137% of 142= 137/100 x 142

=1.37 x 142

194.54

∴ 37% and 137% of 142 are 52.54 and 194.54 respectively.

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Distance of a fallen object is 25 feet.

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

The formula for the speed of a falling object is v= √64d,

where v is the speed of the object in feet per second and d is the distance the object has fallen, in feet.

And also given that v = 200 feet per second.

Substituting the value to the formula,

200 = √64d

d = 200 / √64

d = 200 / 8

d = 25 feet.

Therefore, 25 feet are the distance.

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The number of comparisons required for an array of length 512 is

1+log2(512)=1+9=10.

Binary search:

Searching is an operation done to find the required element (or key) among a group of elements (an array).

Binary search or logarithmic search is a type of searching algorithm that can be used on a sorted array.

In this algorithm, we always check the middle number and compare the key with it. If the key equals the middle number, we're done. If the key is greater than the middle number, we know the key (if it's in the array at all) must be in the right half of the array. Conversely, if the key is less than the middle number, we know the key (if it's in the array at all) must be in the left half of the array. In other words, at every step of the search, we cut the array we're searching through in half. Of course, this only works because the array we started with is sorted.

In a binary search, at every step we compare the key with the middlemost value. If the key is greater than the middlemost value, we discard the left half of the data. If the key is less than the middlemost value, we discard the right half of the data. This process is repeated until we find the element we are looking for.

If we start with an array of length 2=21

, the worst-case scenario is we have to compare the key with both elements: 2 comparisons.

If we start with an array of length

4=22, the worst-case scenario is the key is not the middlemost element, we reduce our search to a 2-element array, and then we're in the worst-case scenario of the previous case: 1+2=3 comparisons.

If we start with an array of length

8=23

, the worst-case scenario is the key is not the middlemost element, we reduce our search to a 4-element array, and then we're in the worst-case scenario of the previous case: 1+3=4 comparisons.

Do you see a pattern? If we start with an array of length

2k, the worst-case scenario is we make 1+k

comparisons. Since 512=2log2(512)=29

The number of comparisons required for an array of length 512 is

1+log2(512)=1+9=10.

In general, the number of comparisons required for an array of length

n is 1+log2(n)

. We usually just round this to

log2(n). Remember that

log2(n)

is basically the number of times n can be cut in half until we get down to 1 or less, so this makes sense.

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The probability that the point will also be inside the circle will be 0.7854.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A square has a circle inside it. If a square's the inside point is chosen at random.

The length of the edge of the square and the diameter of the circle will be congruent. Then the probability that the point will also be inside the circle will be given as,

P = [(π/4)a²] / [a²]

P = π/4

P = 0.7854

The probability that the point will also be inside the circle will be 0.7854.

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KPIs are measurements that help gauge the success of a project or process. They are used to tracking progress and measure effectiveness.

KPIs, or Key Performance Indicators, are metrics used to measure the success of a project or process. They are specific, quantifiable measurements that help gauge progress and effectiveness. Some common KPIs include customer satisfaction scores, cost per product, revenue per sale, and time to complete a task. By tracking and analyzing KPIs, businesses can make informed decisions about their operations and identify areas for improvement.

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