Sara drive 55 mph from x to y in 4 hours. What was the distance between x to y?

Answer:

125.4 kg

Step-by-step explanation:

I attached a picture of my work and I stuck it into my calculator to check it

Answer:

1)

D. 3:2

2)

B. 40%

as, no. of girls=8

total no. of students =12+8=20

now,

percentage of girls=no.of girls/total no. of students ×100%

=8/20×100%

=40%

Answer:

2.5

Step-by-step explanation:

she has buys 3 shirts for 8.50 which = 25.5

then she buys 2 pair of pants for $22 because 2 x 11=22

so then 22 + 25.5 = 47.50

50.00- 47.50= 2.50

Question:

QS and TV are parallel lines.



What angles are alternate exterior angles?



Options:

a) b) c) d)

Solution:

Remember that the alternate exterior angles are the exterior angles found on either side of the secant. Then, in our case we have that the alternate exterior angles are:

QRP and SRP



To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

Learn more about Stemplot here:

https://brainly.com/question/29174445

#SPJ4

If this trend continues, the total books the author would have sold over the first 12 months is 157,810 books.

In this scenario, we would calculate the total books sold by this author over the first 12 months as follows;

First month = 19,000 books.

Second month; 19,000 × (1 - 7)% = 19,000 × 93/100 = 17,670 books.

Third month; 17,670 × (1 - 7)% = 17,670 × 93/100 = 16,433 books.

Fourth month; 16,433 × (1 - 7)% = 16,433 × 93/100 = 15,283 books.

Fifth month; 15,283 × (1 - 7)% = 15,283 × 93/100 = 14,213 books.

Sixth month; 14,213 × (1 - 7)% = 14,213 × 93/100 = 13,218 books.

Seventh month; 13,218 × (1 - 7)% = 13,218 × 93/100 = 12,293 books.

Eigth month; 12,293 × (1 - 7)% = 12,293 × 93/100 = 11,432 books.

Ninth month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 10,632 books.

Tenth month; 10,632 × (1 - 7)% = 13,218 × 93/100 = 9,888 books.

Eleventh month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 9,196 books.

Twelveth month; 9,196 × (1 - 7)% = 9,196 × 93/100 = 8,552 books.

Next, we would add all of the books sold in each month together;

Total books sold = 19,000 + 17,670 + 16,433 + 15,283 + 14,213 + 13,218 + 12,293 + 11,432 + 10,632 + 9,888 + 9,196 + 8,552

Total books sold = 157,810 books.

Read more on total books here: https://brainly.com/question/18306224

#SPJ1

Answer:

$6000

Step-by-step explanation:

annual income = total hours worked x hourly rate

total hours worked = total hours worked per day x total days worked in a year

120 x 4 = 480

480 x 12.50 = $6000

Amount of rainfall results in the maximum number of mosquitoes is 4 centimeters.

m(r) = -r(r-4)

m(r) = -r² + 4r

let's find the derivative of m(r) with respect to r:

m'(r) = -2r + 4

To find the critical points, we set m'(r) = 0 and solve for r:

-2r + 4 = 0

-2r = -4

r = 2

m''(r) = -2

Evaluating m''(2), we get

m''(2) = -2

the function m(r) has a maximum at r = 2.

Putting the value 2 we get

m(2) = -2² + 4(2)

m(2) = - 4 + 8

m(2) = 4

Therefore, the amount of rainfall that results in the maximum number of mosquitoes is 4 centimeters

To know more about maximum click here :

https://brainly.com/question/25120629

#SPJ4

The question is incomplete the complete question is :

The number of mosquitoes in Brooklyn (in millions of mosquitoes) as a function of rainfall (in centimeters) is modeled by m(r) = -r(r - 4) What amount of rainfall results in the maximum number of mosquitoes?

ABC4 base 16 is equal to 43972 in base ten (decimal).

In order to represent any given number, numerals might be numbers, symbols, figures, or sets of figures.

To convert the number ABC4 base 16 to a numeral in base ten (decimal), we can use the positional notation system. Each digit in the number represents a power of 16, starting from the rightmost digit.

The rightmost digit is 4, which represents 4 x 16⁰ = 4 x 1 = 4.

The next digit is C, which represents 12 (since C is equivalent to the decimal number 12), and it is in the second position from the right. So the value of the second digit is 12 x 16¹ = 12 x 16 = 192.

The next digit is B, which represents 11, and it is in the third position from the right. So the value of the third digit is 11 x 16² = 11 x 256 = 2816.

The leftmost digit is A, which represents 10, and it is in the fourth position from the right. So the value of the fourth digit is 10 x 16³ = 10 x 4096 = 40960.

Now we can add up the values of each digit to get the decimal equivalent of the number:

4 + 192 + 2816 + 40960 = 43972

Therefore, ABC4 base 16 is equal to 43972 in base ten (decimal).

Learn more about decimal here:

https://brainly.com/question/28393353

#SPJ4

Answer: the first one is 1/2 the second one is greater than and the third one is

less than

Step-by-step explanation: The experimental probability is the one that shows up the most and that's 1. The theoretical Probability would be 6/12 but it simplifies to 1/2.

Hope this is right!

Answer:

0.66667

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The shape is maintained exactly, it is rotated, not reflected and we can see it became smaller, so dilate it by a value less than one, but greater than 0. (2/3)

Given the expression:

we already know that 5x is a common factor, then, if we divide each term by 5x we get:

then, we can factor the expression like this:

therefore, the width of Heng's area model is 2x+1

Volume is the measure of 3 dimensional space. The volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.

Suppose that the radius of considered cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \pi r^2 h \: \rm unit^3\)

For this case, we're specified that:

Thus, the volume of this cylinder is:

\(V = \pi r^2 h = \pi (3)^2 (6) = 54\pi\: \rm unit^3\)

Thus, the volume of the considered cylinder whose radius is of 3 units, and height of 6 units is V = 54π cubic units.

Learn more about volume of cylinder here:

https://brainly.com/question/12763699

#SPJ1

Answer:

10

Step-by-step explanation:

First step is to get rid of the 5 on the left side of the equation.  To do this, subtract 5 from both sides like this:

m/5 + 5 - 5 = 7 - 5

The 5s on the left side add to zero so you're left with m/5 + 0.

The right side now is 7 - 5 or 2.

So m/5 = 2.  Now multiply both sides by 5 to get rid of the denominator 5 on the left side.

5 x m/5 = 2 x 5

On the left, 5 divided by 5 is 1 so you now have just m.

On the right you have 2 x 5 or 10

So m = 10

Answer:

B

Step-by-step explanation:

When x is equal to 0, you look at the graph and you get y is equal to 3, which is choice B

The approximate internal rate of return on this project is approximately 13.59% at which the present value of the cash inflows (profits) is equal to the initial investment.

To calculate the approximate internal rate of return (IRR) for this project, we need to determine the discount rate at which the present value of the cash inflows (profits) is equal to the initial investment.

Given:

Initial investment = $2,000,000

Annual profit generated = $400,000

Number of years = 7

We can set up the following equation:

PV of cash inflows = Initial investment

To calculate the present value of the cash inflows, we need to discount each year's profit at the discount rate (IRR) and sum them up. Using a financial calculator or spreadsheet software, we can iterate different discount rates until the present value of the cash inflows matches the initial investment. Using an iterative process, the approximate internal rate of return (IRR) for this project is found to be approximately 13.59%.

To know more about rate,

https://brainly.com/question/33519589

#SPJ11

Answer:

21/28 = 3/4

Step-by-step explanation:

Answer:

(0,6) (-2,5) (1,3)

Step-by-step explanation:

The dilation transformation gives an image that is similar to the pre-image but have a different size.

A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure.

We have,

scale factor = 3

and, centered at (-7, -6).

Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)

The given points relative to the center of dilation are;

(-7 - (-7), -3 - (-6)) = (0, 3)

(-3 - (-7), -2 - (-6)) = (4, 4)

(-4 - (-7), -5 - (-6)) = (3, 1)

and, after the dilation is

3 × (0, 3) = (0, 9)

3 × (4, 4) = (12, 12)

3 × (3, 1) = (9, 3)

Adding the coordinates of the center of dilation are

A' = (0 + (-7) , 9 + (-6)) = (-7, 3)

B' = (12 + (-7) , 12 + (-6)) = (5, 6)

C' = (9 + (-7) , 3 + (-6)) = (2, -3)

Therefore, the image is A'(-7, 3), B'(5, 6), C'(2, -3).

Learn more about dilation transformation here:

brainly.com/question/4078841

#SPJ7

From the probability distribution for the number of defective items in a random sample, the expected value of X is 2.82.

To calculate the expected value of X, we need to multiply each possible value of X by its corresponding probability and sum them up.

The expected value of X, denoted as E(X) or μ, is calculated using the formula:

E(X) = ∑ (x * p(x))

where x represents each possible value of X and p(x) represents the corresponding probability.

In this case, the probability distribution for X is given as follows:

x: 0 1 2 3 4

p(x): 0.1 0.15 0.13 0.07 0.55

To calculate the expected value, we perform the following calculations:

E(X) = (0 * 0.1) + (1 * 0.15) + (2 * 0.13) + (3 * 0.07) + (4 * 0.55)

E(X) = 0 + 0.15 + 0.26 + 0.21 + 2.2

E(X) = 2.82

The expected value represents the average value or mean of the probability distribution. In this case, it represents the average number of defective items we expect to find in a random sample based on the given probabilities.

To learn more about expected value click on,

https://brainly.com/question/31319639

#SPJ4

Answer:

52 marbles i think

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

(original value - new value / original value) x 100

So

4 - 3 = 1

1/4 = 0.25

0.25 x 100 = 25

So there was a 25% decrease in the number of apples bought.

Hope it helps :)

Answer:

5.84 x10.^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

Step-by-step explanation:

1. 169

2. 169

3. right

*next column*

1. 233

2. 196

3. acute

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

The given equation is equivalent to y = -5x/7 - 2

Given that an equation, 5x+7y = -14, we need to find an equivalent equation for thus,

So,

5x+7y = -14

Minus 5x from both the sides

7y = -14 - 5x

Divide the equation by 7,

y = -5x/7 - 2

Hence the given equation is equivalent to y = -5x/7 - 2

Learn more about equation click;

https://brainly.com/question/29657983

#SPJ1

Answer:

Tom is thinking of 217

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

Learn more about radius here

https://brainly.com/question/24375372

#SPJ11