The basketball gym at Dustin's school was built in the 1940s and needs a lot of repairs. So, the school is asking families for donations to build a new gym. Dustin convinced some local businesses to match a fraction of the families' donations. There is a proportional relationship between the amount of money a family donates (in dollars), x, and the matching contribution (in dollars) from local businesses, y. When a family donates $12, the businesses contribute $9. Write the equation for the relationship between x and y.

Answers

Answer 1

Answer:

The equation representing the relationship between x and y is that;

4y = 3x

Step-by-step explanation:

Here, we want to write a relationship.

From the question, we are told that the amount donated by the family which is x dollars is proportional to what local businesses gave.

From the question, there was an example in which a family gave $12 and local businesses gave $9

So let us establish a relationship using ratio of x to y

Thus;

12/9 = x/y

12y = 9x

4y = 3x


Related Questions

7(n+4)=21 what is n?

Answers

Answer:

-1

Step-by-step explanation:

divide both sides by 7 and you will get (n+4)=3

then subtract 4 on both sides and get n is equal to -1

Answer:

-1

Step-by-step explanation:

((-4)+(-5)+-1))/3 The / signs is division

Answers

Answer:-1 and 1/3

Step-by-step explanation:-4+-5=-9 -9+-1=-10 -10/3=-1 1/3

I need help ASAP!!!!

Answers

Answer:

C

Step-by-step explanation:

P(x)=R(x)-C(x)

=-0.6x³+900x²-400x+700-(400x²+300x)

=-0.6x³+500x²-700x+700

A mug contains 20 fluid ounces of coffee.

How many pints of coffee does the mug contain?

Enter your answer as a decimal in the box.

Answers

Answer:

1.25 pints

Step-by-step explanation:

gallon king!!!

1 gallon king has 4 queens (4 quarts)

1 queen (quart) has a 2 princes (pints)

1 prince has 2 cats (cups)

one cup has 8 oz

put it all together:

2 and 1/2 cups

2 cups = 1 pint

1 pint and 1/2 cup

1/2 cup is 1/4 of a pint

sooo... it's 1.25 pints!

A recipe for macaroni and cheese calls for 16 oz of shredded cheese the recipe serves two people jack wants to feed 7 people how many ounces of cheese should he use

Answers

Answer:

56

Step-by-step explanation:

48 ounces would feed 6 people and if 16 oz is for two people than 8 oz is for one person. So, 48 plus 8 is 56.

Are the following ratios equivalent? Explain.
2:10
6:60

Answers

Answer:

No

Step-by-step explanation:

it would 12:60

6x2=12

6x10=60

Answer:

they are not equivalent

Step-by-step explanation:

7 : 35

12 : 60

17 : 85

22 : 110

hear are ratios that are equivalent to 2:10

A standard paper clip is 1
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?

Answers

Answer

75 inches

Explonation

To find the answer, you should multiply 1 by 75

Last Friday Willie had $27. Over the
weekend he received some money for
babysitting. He now has $43. How much
money did he receive?

Answers

Answer:

$16

Step-by-step explanation:

He received that much money because all you have to do is just subtract            

43-27. Then thats how I got my answer.

Hope this helps and have a great day!

Answer:

Willie received $16 dollars during the weekend

Step-by-step explanation:

$43 (how much money he has now) - $27 (how much he had last Friday) = $16 (how much he received while babysitting during the weekend)

Write an equation of the line passing through point P(4,−6) that is perpendicular to the line y=−3.

x=

Answers

Answer:

ummm im sorry i will answer in the comments

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

if you plot y= -3 and the point (4,-6) you will see that the only answer can be x=4

Given the equation 9x - 3y = 27 in standard form. Show how you would convert the equation into slope-intercept form → y = mx + b.

Answers

Answer:

y=3x-9

Step-by-step explanation:

Complete the table and write the equation


x | y
? | 1.5
-1 | 4
0 | ?
3 | 9
15 | ?


Equation: y = ____ x + _____

Answers

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substituting:

[tex]\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}[/tex]

This value is used in the slope-point form of the line:

[tex]\displaystyle y-k=\frac{5}{4}(x-h)[/tex]

Where (h,k) is a point from the table, select for example (3,9):

[tex]\displaystyle y-9=\frac{5}{4}(x-3)[/tex]

Operate:

[tex]\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9[/tex]

[tex]\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}[/tex]

The equation of the line is:

[tex]\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}[/tex]

Now complete the table.

For x=0:

[tex]\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}[/tex]

[tex]y=\frac{21}{4}[/tex]

For x=15

[tex]\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}[/tex]

[tex]\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24[/tex]

y=24

For y=1.5, find x:

[tex]\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}[/tex]

Operate:

[tex]\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x[/tex]

Multiply by 4:

[tex]\displaystyle 6-21=5 x[/tex]

Solve:

[tex]x=-15/5=-3[/tex]

x=-3

Answer:

All results in the explanation

Step-by-step explanation:

To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).

First, find the slope of the line:

We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1

Substituting:

\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45

This value is used in the slope-point form of the line:

\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)

Where (h,k) is a point from the table, select for example (3,9):

\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)

Operate:

\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9

\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36

The equation of the line is:

\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421

Now complete the table.

For x=0:

\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421

y=\frac{21}{4}y=421

For x=15

\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421

\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24

y=24

For y=1.5, find x:

\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421

Operate:

\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x

Multiply by 4:

\displaystyle 6-21=5 x6−21=5x

Solve:

x=-15/5=-3x=−15/5=−3

x=-3

You practice playing your guitar every day. You spend 15 minutes practicing chords and the rest of the time practicing a new song. So the total number of minutes y you practice for the week is given by y=7(15+x), where x is the number of minutes you spend on practicing a new song. Solve the equation for x.

Answers

Answer:

x=(y-105)/7

Step-by-step explanation:

Given that the total time taken to practice is given by the expression as

y=7(15+x)

Simplifying the expression we have

y=105+7x

Solving for x (that is making x subject of formula we have)

7x=y-105

Divide both sides by 7 we have

x=(y-105)/7

Therefore the expression is

x=(y-105)/7

This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

Answers

Answer:

12 days

Step-by-step explanation:

Given:

s = d

Where,

d = number of days he spends on vacation

s = total number of souvenirs he buys

How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

s = 12

Since,

s = d

Then,

12 = d

Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs

What is the slope of line p

Answers

U have to show us what line p looks like

pic below................

Answers

Answer:

1st step - parenthesis 3-9= -6, so the equation is now 2+ (-6) / -3 *4

2nd step - division- -6/-3 = 2 , so the equation is now 2 + 2 * 4

3rd step - multiplication - 2*4  = 8  so the equation is now 2+8

4th step addition- 2 + 8 = 10

Final answer 10

Step-by-step explanation:

Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct? Ivan only Polina only both Ivan and Polina neither Ivan or Polina

Answers

Answer:

Both are correct

Step-by-step explanation:

To check the validity of their statements, we shall be using direct examples

For Ivan , we can have an example of his assertion as follows;

-1/2 * -1/3 = 1/6

For Polina, we can have

-1/2 * -1/3 * -1/4 = -1/24

We can see from the above that both of them got their opinions correctly as there are no exceptions to the above

Answer:

both Ivan and Polina

Step-by-step explanation:

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 3.

Step-by-step explanation:

We need to tell the incorrect step in the given problem for the product of        (–2.5)(–8.3)

Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2:

We can write -2.5 = -(2+0.5)

(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)

= 16.6 + 4.15

Step 3.

= 20.75

He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.

Answer:

it is step 3

Step-by-step explanation: i just took the test mark me brainliest lol :>

Help!!!!!!!!! Quick!!!!!

Answers

Right
Acute
Obtuse
Obtuse

Answer:

<A obtuse

<B acute

<C obtuse

<D right

Step-by-step explanation:

f(x)=3x-1 Find f(-8)

Answers

Answer: y=-25

Step-by-step explanation:

Plug in -8 for x

3(-8)-1

-24-1

-25

Answer:

x= -25

Step-by-step explanation:

-8(3)-1=

-24-1=

-25

Divide. Write the quotient in lowest terms.
2 3/4 divided by 3

Answers

0.91666666666 hope this helps

If you borrow $800 for 8 years at an annual rate of 11% how much will you pay altogether?

Answers

Answer:

$1,843.63

Step-by-step explanation:

[tex](1+0.11)^{8}[/tex] · 800 = $1,843.63

This is the answer 1,843.63

write an equation in slope-intercept form for the graph shown (i will give brainliest whoever gets it right)

Answers

Answer:

y=-3x+2

Step-by-step explanation:

y=-3x+2 is the correct answer ^^

Preform the following operations with fractions.
-11/5+4/6

Answers

(-11/5)(6/6) + (4/6) (5/5)
-66/30 + 20/30
-46/30
23/15

True or false: The domain and range always have the same number of unique values.

Pls help! I only have 3 min left!

Answers

I believed it’s True

what is
t ÷ -5 = -7 help

Answers

Answer:

4 +5 _7

Step-by-step explanation:

Which of the following is considered an asset?

Answers

Answer:

b car lone

Step-by-step explanation:

hope it helps

Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:

A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.

Answers

Answer:

His conjecture is not logical.

Step-by-step explanation:

If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.

Turn this into numerical form -> one-half the sum of x and 12

Answers

Answer: 1/2(x+12)

Step-by-step explanation:

If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?

Answers

The change in height every year is 0.2cm aka 2 millimeters.

1cm/5years = 0.2cm/1yr

Use the picture below please!!

Answers

Answer:

AB and BC are Skew

AE and BF are Parallel

Step-by-step explanation:

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