A water hose discharges water at a rate of 45 gallons per minute. Which graph has a slope
that best represents this rate?

Given:

The cost y (in dollars) of renting a segway for x hours is

[tex]y=30x+25[/tex]

To find:

The initial fee and the cost per hour.

Solution:

We have,

[tex]y=30x+25[/tex]       ...(i)

The slope intercept form of a linear equation is

[tex]y=mx+b[/tex]      ...(ii)

where, m is slope is b is y-intercept or initial value.

From (i) and (ii), we get

[tex]m=30,b=25[/tex]

The value of m is 30, so the slope is 30. It means cost per hour is $30.

The value of b is 25, so y-intercept is 25. It means the initial fee is $25.

We want to see which of the given statements about the number pi are true.

The correct options are: a, d, and e.

First, let's talk a little bit about the number pi.

The irrational number pi is defined as the quotient between a circle's circumference and its diameter.

So if we know that a circle has a diameter D, the circumference of that circle is given by:

C = pi*D

Now let's analyze each option to see which ones are true.

a) "Pi is the area of a circle of radius 1."

The area of a circle of radius R is given by:

A = pi*R^2

So if the radius of this circle is R = 1. we have:

A = pi*1^2 = pi

So the area of this circle is pi, thus the statement is true.

b) "Pi is the area of a circle of diameter 1."

The diameter is twice the radius, so the radius of this circle is 0.5, we know that pi is the area of a circle of radius 1, not a circle of radius 0.5, so this is false.

c) "Pi is the circumference of a circle of radius 1."

The circumference of a circle of radius R is given by:

C = pi*2*R

If the radius is equal to 1 we have R = 1, then:

C = pi*2*1 = 2*pi

The circumference of this circle is 2*pi, not pi, so this is false.

d) "Pi is the circumference of a circle of diameter 1."

We know that the circumference of a circle of diameter D is:

C = pi*D

So if D = 1, we have:

C = pi*1 = pi

So the circumference of this circle is equal to pi, thus, this statement is true.

e) "Pi is the constant of proportionality relating the diameter of a circle to its circumference."

A proportional relation is:

y = k*x

where k is the constant of proportionality.

The relation between the circumference is given by:

C = pi*D

So yes, pi is the constant of proportionality, this is true.

F) "Pi is the constant of proportionality relating the radius of a circle to its area."

The area equation is:

A = pi*R^2

note that the radius is squared, so this is not a proportional relation, then the statement is false.

Finally, we can conclude that the true statements are:

a, d, e.

If you want to learn more, you can read:

https://brainly.com/question/7135052

Answer:

Multiproperty

Step-by-step explanation:

To solve this problem, we use different properties to arrive at our answer.

  Given expression;

               4(x + 3) = 20;

   First we use the distributive property to expand;

              4x + 12  = 20

       Now use subtraction property by adding (-12) to both sides;

              4x + 12 + (-12)  = 20 + (-12)

              4x  = 8

           you can now divide by 4,

                   x  = 2

Answer:

x= -2.5

Step-by-step explanation:

Combine like terms, add 12 to both sides, then divide by the coefficient.

-2x-10x+12= 18

-12x+12=18

-12x=30

x=-2.5

Answer:

4 terms

Step-by-step explanation:

each number or each coefficient/variable combo is a term.

Answer:

Yes

Step-by-step explanation:

Supplementary angles are a set of angles that always add up to 180 degrees.

Answer:

3 gold coins

Step-by-step explanation:

6 minus 3 is 3

Step-by-step explanation:

Let say the unknown number we dont know is x

2x+4=6

2x=6-4

2x=2

x=2/2

x=1

So the unknown number is 1

Answer:

-7/(x-5) - 3

Step-by-step explanation:

First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.

Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.

Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.

Using translation concepts, it is found that the new definition for the function is:

[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]

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

The parent function is:

[tex]f(x) = \frac{1}{x}[/tex]

[tex]g(x) = 7 \times \frac{1}{x} = \frac{7}{x}[/tex]

[tex]g(-x) = \frac{7}{-x} = -\frac{7}{x}[/tex]

[tex]g(x) = -\frac{7}{x - 5}[/tex]

[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]

A similar problem is given at https://brainly.com/question/19383602

Answer:

17p

Step-by-step explanation:

Since you don't know how much Sanjay picked you can only explain as a variable. So just put 17 next to p which is 17*p

Answer:

Slope: undefined

Equation: x=-3

Step-by-step explanation:

To find the line that passes through the points, you first want to find the slope.  The formula for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Once we have the slope, we can use any given point to plug in to find the y-intercept.

[tex]m=\frac{-5-9}{-3-(-3)} =\frac{-14}{0}[/tex]

We can see that the slope is undefined. If we look at the point, we notice that they both have the same x-coordinate. This let's us know that the equation is x=-3.

Answer:

inequality is n< with the line under 12 or n= , with the line under it 12

Step-by-step explanation:

Answer:

14x+10y

Step-by-step explanation:

(2x-5y)(7x-2y)

(2x*7x)(-5y*-2y)

It is 180 just do 60 times 3 since 30 times 3 is 90 and you would figure out how long it take him.

Answer:  28

Step-by-step explanation:

Let x represent the digit in the tens place and y represent the digit in the ones place.     xy → 10x + y

The square of the sum of the digits is 100.

EQ1: (x + y)² = 100       →    x + y = 10

2 is subtracted from 3 times the number is the digits reversed.

EQ2: 3(10x + y) - 2 = 10y + x    →   30x + 3y - 2 = 10y + x      →     29x - 7y = 2

Solve the system of equations using the Elimination method:

EQ1:      x +  y = 10    →  7(x + y = 10)     →      7x + 7y = 70

EQ2: 29x - 7y = 2     →  1(29x - 7y = 2  →   29x - 7y =  2    

                                                                    36x        = 72

                                                                 ÷36         ÷36  

                                                                            x = 2

Substitute x = 2 into either of the equations to solve for y.:

EQ1: x + y = 10

       2 + y = 10

            y = 8

The digit is: 28

Answer:

y= -x + 10

Step-by-step explanation:

At 0 hours = Bob has 10 apples

At 4 hours = Bob has 6 apples

In 4 hours Bob has eaten 4 apples

Using linear graphs where y = the apples remaining and x = the hours passed

y = mx + c

We already know some coordinates:

(0,10) - 0 hours 10 apples remaining

(4,6) - 4 hours 6 apples remaining

c is the y intercept and m is the gradient

We already have the y intercept (where x = 0) which is (0,10)

So first part of our rule is done: y = mx + 10

The gradient is rise / run

Rise = -4 and Run = 4

-4/4 = -1

So the gradient is -1 and we add that to our rule

So final rule is y = -x + 10

Answer:

8

Step-by-step explanation:

Since there are two fractions, it is easiest to cross multiply the fractions before doing anything else. Basically:

10/15 = d/12  becomes 120 = 15d.

then you just divide 15 to both sides to get your answer:

d = 120/15, which is the equivalent of d = 8.

Answer:

- 2/3 is the answer

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

25 should be chosen as the common denominator. 5 is a possible common denominator because the other fraction has a denominator of 5 and 25 is divisible by 5, however, the numerator cannot be evenly divided by 5. Attempting to do so would cause a much more difficult equation. On the other hand, the denominator 5 can be changed to 25 by multiplying by 5, and 4 can also be changed by multiplying by 5.

4/5 x 5 = 20/25

6/25 - 20/25 = -14/20 = -7/10

Let me translate it to English before I answer your question.

Hello friend, how are you? Today I want to write about my schedule of classes.

My classes start at seven thirty in the morning. I have five classes everyday. My math class, it starts at seven thirty. Then a biology class and it starts at half past nine. I have a twenty minute break at noon. It starts at half past seven. I always have soccer practice after school, but today I have to come home early because I have to study for the biology test. Take care.

First answer: 20 mins

Second answer: 7:30

Third answer:7:30

Fourth answer:9:05

Hope this helps you!!

Stay safe.

Answer:

Number of hamburgers bought = 4

Number of hotdogs bought = 9

Step-by-step explanation:

Let

Number of hamburgers bought = n

Number of hotdogs bought = n + 5

Hamburgers cost = $6.25

Hotdogs cost = $3.75

Total cost = $58.75

6.25n + 3.75(n + 5) = 58.75

Open parenthesis

6.25n + 3.75n + 18.75 = 58.75

Collect like terms

6.25n + 3.75n = 58.75 - 18.75

10n = 40

Divide both sides by 10

n = 40 / 10

= 4

n = 4

Number of hamburgers bought = n = 4

Number of hotdogs bought = n + 5

= 4 + 5

= 9

Answer:

$12.50

Step-by-step explanation:

Answer:

$12.5/hr

Step-by-step explanation:

50/4=12.5 is the answer

You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.

What is Simple Interest ?

Simple interest can be defined as the ratio of product of principal amount , rate , time and hundred.

The interest on your loan can be calculated using the formula:

Interest = Principal x Rate x Time

In this case, the principal is $400, the rate is 8% (or 0.08 as a decimal), and the time is 2 years.

So, plugging in the numbers:

Interest = $400 x 0.08 x 2 = $64

Therefore, the total amount you will have to pay back is the sum of the principal and the interest, which is:

Total = Principal + Interest

= $400 + $64 = $464

Hence, You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.

To learn more about Simple Interest from given link.

https://brainly.com/question/25845758

#SPJ1

Welcome to the other MHN solving classes.

Let's see what to do ......

_________________________________

Step (1)

EC bisects BED ;

Thus : BEC = CED

_________________________________

Step (2)

Question told us that CED = 4 x + 1

Thus : BEC = CED = 4 x + 1

_________________________________

Step (3)

AD is a straight line which means its angle size is equal to 180° degrees.

So :

AEB + BEC + CED = 180

( 11x - 12 ) + ( 4x + 1 ) + ( 4x + 1 ) = 180

11x + 4x + 4x - 12 + 1 + 1 = 180

19x - 10 = 180

Plus sides 10

19x - 10 + 10 = 180 + 10

19x = 190

Divided sides by 19

[tex] \frac{19}{19}x = \frac{190}{19} \\ [/tex]

[tex]x = 10[/tex]

So : x = 10°

_________________________________

Step (4)

AEB = 11x - 12

AEB = 11(10) - 12

AEB = 110 - 12

AEB = 98°

******************************************************

BEC = CED = 4x + 1

BEC = CED = 4(10) + 1

BEC = CED = 41°

_________________________________

Step (5)

AEC = AEB + BEC

AEC = 98° + 41°

AEC = 139°

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

The first should be (x+6, y-(-10).

The others, not sure but you have to plug them in.

Answer:

See attached

Step-by-step explanation:

The form is filled in and attached

Answer:

-8

Step-by-step explanation:

looked it up on the internet