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kondaur [170]
2 years ago
6

REWARD: 50 points + Brainly to the best answer. Check the file.

Mathematics
1 answer:
Debora [2.8K]2 years ago
3 0

Answer:

a) No because the gallons and quarts of oil you and your friend bought is proportional.

b) Yes because the gallons and quarts of oil are no longer proportional.

c) 1 gallon of gasoline = $3.55

   1 quart of oil = $5.00

Step-by-step explanation:

Let g = cost per gallon of gasoline

Let q = cost per quart of oil

a)  Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

From inspection, we can see that if we multiply the second equation by 2, it will give us the first equation.  Therefore, they are proportional and we cannot determine the variables.

b) Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

8g + 2q = 38.40

From inspection, we can see that the third equation is not proportional to equations 1 and 2.  Therefore, we can use this equation with either of the other equations to determine the variables.

c)

Using equations 2 and 3 from the previous part (b):

5g + q = 22.75

8g + 2q = 38.40

Rewrite 5g + q = 22.75 to make q the subject:

⇒ q = 22.75 - 5g

Substitute into 8g + 2q = 38.40 and solve for g:

⇒ 8g + 2(22.75 - 5g) = 38.40

⇒ 8g + 45.5 - 10g = 38.40

⇒ 2g = 7.1

⇒ g = 3.55

Substitute found value for g into q = 22.75 - 5g and solve for q:

⇒ q = 22.75 - (5 x 3.55)

⇒ q = 5

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Roy planted corn on 1/5of his land. If he planted45 acres of corn, how many acres of land doeshe have?(A) 90(B) 112 (1/2)(C) 135
melisa1 [442]

Correct option is C. He has 225 acres of land .

Let the Number of acres of land Roy have = x

As he planted corn on  1/5  of his land,

Number of acres of his land planted with corn =  1/5  × Number of acres of land Roy have

=  x/5

As he planted 45 acres of his land with corn,

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 = 45

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⇒x = 225

Therefore, number of acres of land Roy have is   225  .

To learn more about fraction from given link

brainly.com/question/78672

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4 0
2 years ago
Please answer ASAP! Compare and contrast the graphs of y < -x + 2 and y > -x + 2.
VikaD [51]
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Answer:

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Step-by-step explanation:

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2 years ago
solve, showing all work. state if there is one solution, no solution, or infinite solutions 2(2b-4)+5=7+2b help asap i need the
WINSTONCH [101]

Answer:

one solution

Step-by-step explanation:

2(2b-4)+5=7+2b

4b - 8 + 5 = 7 + 2b

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4b - 2b = 7 + 3

2b = 10

b = 10/2

b = 5.

it can have only 5 as solution that will be only one solution if we change the value of 5 to other number then the answer will be wrong

4 0
2 years ago
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