11-3x75-1 what is the answer?

The statement that reflects the running rates is Pepe ran 9/8  mile in 1/2 hour and Paul ran 19/24 mile in 1/3 of an hour.

Speed is the total distance run per time. It can be determined by dividing the total distance travelled by the total time.

Speed = distance / time

Speed if Paul ran 1/5 mile in 4/15 hour

Speed = 1/5 ÷ 4/15

1/5 x 15/4 = 3/4 miles per hour

Speed if Pepe ran 8/10 mile in 1/4 of an hour

Speed = 8/10 ÷ 1/4

8/10 x 4 = 16/5 = 3 1/5 mile per hour

Difference in speeds =

[tex]3\frac{1}{5}[/tex] - [tex]\frac{3}{4}[/tex]

[tex]3\frac{4 - 15}{20}[/tex] = [tex]2\frac{9}{20}[/tex]

Speed if Paul ran 4/15 mile in 1/5 hour

Speed = 4/15 ÷ 1/5

4/15 x 5 = 4/3 = 1 1/3 miles per hour

Speed if Pepe ran 1/4 mile in of 8/10 an hour

Speed = 1/4 ÷ 8/10

1/4 x 10/8 = 5 / 16

Difference in speeds = [tex]1\frac{1}{3} - \frac{5}{16}[/tex] = [tex]1\frac{1}{48}[/tex]

Speed if Paul ran 1/3 mile in 19/24 hour

Speed = 1/3 ÷ 19 / 24

1/3 x 24/19 = 8/19 miles per hour

Speed if Pepe ran 1/2 mile in of 9/8 an hour

Speed = 1/2  ÷ 9/8

1/2 x 8/9 = 4/9 mile per hour

Difference = 4/9 - 8/19 = 4/171

Speed if Pepe ran 9/8  mile in 1/2 hour

Speed = 9/8 ÷ 1/2

9/8 x 2 = 2 1/4  miles per hour

Speed if Paul ran 19 / 24 mile in of 1/3 an hour

Speed =  19 / 24  ÷ 1/3

19 / 24 x 3 = 2 3/8 miles per hour

Difference =

[tex]2\frac{3}{8} - 2\frac{1}{4}[/tex]

[tex]\frac{3 - 2}{8}[/tex] =  [tex]\frac{1}{8}[/tex] miles per hour

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We have the following:

We subtract the equations:

for y:

therefore, the answer is:

(0,6) and (5,16), the option D.

Solve;

Therefore, x = -1

1.

First, divide the figure into 3 different figures.

Find the area of each figure, and then add them:

A1 is a rectangle:

Area of a rectangle: Lenght x width

A1 = 8 x 5.3 = 42.4 in2

A2 is also a rectangle:

Lenght = 4

width = 8 - 5.3 = 2.7

A2 = 4 x 2.7 = 10.8 in2

A3 is a triangle:

Area of a triangle = (base x height) / 2

base = 2.7

Height = 8-4 = 4

A3= ( 2.7 x 4 ) / 2 = 5.4 in2

Total area = A1 + A2 + A3 = 42.4 + 10.8 + 5.4 = 58.6 in2

Answer = 58.6 in2

Given:-

let

5x-4y=1 be the equation 1

-5x-10y=-15 be the equation 2

step 1-

add equation 1 and 2

we get=

-14y=-14

y=1

this is required value of y

we are going to put this value of y in equation 1

we get

5x-4(1)=1

5x-4=1

5x=1+4

5x=5

x=1

this is required value of x

hence value of x and y are(1,1)

The torque at the end is equal to 45 Nm.

Torque can be defined as a measure of the amount of force which causes a physical object to rotate about an axis. This ultimately implies that, torque is a force which tends to cause the rotation of a physical object about an axis.

Mathematically, torque can be calculated by using this formula:

τ = Fd

Where:

In this scenario, we can reasonably infer and logically deduce that the torque at the end would be equal to 45 Newton meter (Nm) because the force was not applied over a perpendicular distance.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

8x - 3x + 4x = -36

x = ?

Step 02:

We must apply the algebraic rules to find the solution.

8x - 3x + 4x = -36

12x - 3x = - 36

9x = - 36

x = - 36 / 9

x = - 4

The answer is:

x = - 4

Answer

D. Observations of constellations show that stars have moved over time.

Explanation:

A scientific claim is basically an observation in science.

Constellation changes there position over time because of earth's rotation around sun. So, observation of constellations shows that stars have moved over time is a scietific claim. If stars would not move then constellation will not form.

Answer: We have to find the radio stations in 2015, which is 13.8% more than the radio stations in 2005 which were 744:

Using scientific notation, we have that:

a) As an ordinary number, the number is written as 0.51.

b) The value of the product is of 1445.

An ordinary number written in scientific notation is given as follows:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex], meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1.

For item a, to add one to the exponent, making it zero, we need to divide the base by 10, hence the ordinary number is given as follows:

5.1 x 10^(-1) = 5.1/10 = 0.51.

For item b, to multiply two numbers, we multiply the bases and add the exponents, hence:

(1.7 x 10^4) x (8.5 x 10^-2) = 1.7 x 8.5 x 10^(4 - 2) = 14.45 x 10².

To subtract two from the exponent, making it zero, we need to multiply the base by 2, hence the base number is given as follows:

14.45 x 100 = 1445.

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The given information is

Given the expression

According to the given data we have the following:

first linear function is defined by the equation 2x + 3y = 12

second linear function passes through the points (3,-2) and (-2, k)

the two linear functions have the same y-intercept

k?

To calculate k first we have to do the following:

we would have to use the formula y=mx +b

the two linear functions have the same y-intercept, therefore, b=12.

So, y=mx +12

As second linear function passes through the points (3,-2) we are going to substitue the x and y with 3 and -2.

So, -2=m*3+12

-2-12=m*3

-14=m*3

m=-14/3

m=-4

Finally we would calculate k by writiing the equation of the line that passes through each pair of points as follows:

y2-y1/x2-x1=m

So

So, k +2/-5=-4

k+2=20

k=20-2

k=18

We are given a tangent and a chord of a circle. The angle ABC form by the intersection of the tangent and the chord is half the arc they both intersect, therefore, we must find the major arc of the circle, we can do that with the fact that the total arc of the circle is 360, therefore:

Therefore, the angle is:

Angle ABC is 155 degrees.

Using the concept of Fraction, the weekly rate of Jake eating the cake is 11.2.

Fraction represents parts of a whole or group of objects. A fraction consists of two parts. The numerator is the number at the beginning of the line. It specifies the number of equal parts taken from the whole or collection. The number below the line is the denominator. It shows the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.

We know that,

The cake is cut into 12 equal slices.

After 3 days Jake eats 5 slices then,

For 1 day = [tex]\frac{5}{3}[/tex]

= 1.6

Then for 7 days,

1.6 × 7 = 11.2

Hence, Jake's weekly rate of eating the cake is 11.2.

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The complete question would be

'A cake is cut into 12 equal slices. After 3 days Jake has eaten 5 slices. What is his weekly rate of eating the cake?'

Lets call x to the number of ducks

and y the number of pigs.

Then:

Because there are 2 legs per duck and 4 legs per pig.

If the total of animals is 37, then:

Then:

And replacing on the first equation we get:

There are 12 pigs and therefore 25 ducks.

Given:

Find-: Factor using the formula of the sum or difference of cube.

Sol:

Factoring sum and differences of cubs is:

Apply for the given information.

The statement holds true for all true values of is cos²θ = 1 − sin²θ

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Explanation

Step 1

we have a perpendicular line, its slope is

two lines are perpendicular if

replace

so, our slope is 3/2

Step 2

using slope=3/2 and P(-5,2) find the equation of the line

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

factor:

5x - 8

Step 02:

difference of squares:

(5x - 8)(5x + 8) = 25x² - 64

The answer is:

25x² - 64

To calculate the combinations of groups of 2, since the order doesn't matter, we can use combination. In this case we have a total of 75 to choose from and will choose 2, so this is "75 choose 2".

The equation to use is (n choose k):

In this case, we have n = 75 and k = 2, so:

For the property of factorials, 75! / 73! = 75*74, because the terms less or equal 73 cancel out. so:

So, there are 2775 different groups of 2 in this case.

Another way of doing this calculation is by thinking of choosing one at a time.

At first, we can choose from 75 possible people, so we start at 75.

When we choose the second one, we already picked the first, so there are only 74 people left. So we get:

This are the two first people, but, in this way we are considering too many groups, since here we considere the order matter, to fix this we divide by k!, where k is the number of picks, which is 2 in this case (so, permutation of 2). So:

reduce the square root of

There is no square root for the negative number

so, this is represent a complex number

So,

Answer:

seven and one-tenth.

Explanation:

To name decimal number, we first name the values before the decimal point, in this case, seven

Then, we add an and that corresponds to the decimal point

Finally, we say the number after the decimal point and the place of this number, in this case, one-tenth.

Therefore, the name of the decimal number 7.1 is:

seven and one-tenth.

Answer:

20 Students

Explanation:

Let the total number of students in the class = x

Number of students that have pets = 15

Percentage of students that have pets = 75%

Therefore:

We then solve for x.

We have 20 students in total in the class.

The percent change is given by:

The old value is $390

Step-by-step explanation:

what is the problem ?

first you need to put "1" in place of the x and calculate, and then you need to put "2" in place of the x and calculate.

just simple calculation !

(a)

R(1) = 1000×1² / (1² + 4) = 1000 / 5 = 200

$200 million

(b)

R(2) = 1000×2² / (2² + 4) = 4000 / 8 = 500

$500 million

there ! that's all that was needed.

The vertex of a quadratic function can be found by using the following expression:

Where "a" is the number multiplying x² and b is the number multiplying x. For this function a = -2 and b = 5. Applying these on the problem we have:

To find the y coordinate of the vertex we need to use the value for x that we found above. We have:

The ordered pair for this function's vertex is (1.25, 14.125)

Answer:

100 ounces of 12% solution and 60 ounces of the 20% solution.

Step-by-step explanation:

Let x ounces be the amount of 12% solution, then there will be 160-x ounces of the 20% solution.

So, we have the equation:

0.12x + 0.20(160 - x) = 0.15* 160

0.12x - 0.20x + 32 = 24

-0.08x = -8

x = 100.

So, it is 100 ounces of 12% solution and 60 ounces of the 20% solution.

We have the next inequalities

as we can see if we graph these inequalities we will obtain the next graph

where the red area is the first inequality and the blue area is the second inequality

and the area in purple is the solution set of the two inequalities

one coordinate point in the solution set could be (0,0)

Given:

Graph is given.

6a.

6b.

6c.