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Ahat [919]
2 years ago
15

A teacher is buying supplies for an upcoming art project. She buys x bottles of paint for $1.29 each. She buys 8 more canvases t

han bottles paint for $1.89 each. Her total pretax cost is $37.38. How many of each item is she buying?
Mathematics
2 answers:
Oksi-84 [34.3K]2 years ago
7 0

Answer:

7 bottles of paint and 15 canvases

Step-by-step explanation:

I'm letting x stand for the number of bottles of paint and y stand for the number of canvases

1.29x+1.89y=37.38

and y=x+8

Since the y value is isolated I can just substitute the right side of the y= equation into the original like so

1.29x+1.89(x+8)=37.38

I then distributed the 1.89 to each of the terms in the parentheses

1.29x+1.89x+15.12=37.38

I then combined like terms to get

3.18x+15.12=37.38

Then you subtract 15.12 from both sides to get

3.18x=22.26

and last we divide both sides by 3.18 to get

x=7

Now that we have x, we still need to solve for y, so I take the original equation y=x+8 and substitute in the value we solved for x to get

y=7+8

y=15

Don't forget the labels you gave each variable earlier in the problem when answering!

Elena L [17]2 years ago
4 0

Answer:

She is buying 7 bottles and 15 canvases of paint

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Here, we want to get the amount of wood left

To calculate this, we have to subtract what is cut and what is wasted from the original total length

So we have what is left as follows;

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45 1/2 = 91/2

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6 0
3 years ago
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My name is Ann [436]

Answer:

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6 0
2 years ago
Samuel and Christopher go to the movie theater and purchase refreshments for their friends. Samuel spends a total of $34.00 on 6
Llana [10]

Answer:

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

The price of a drink is $1.75

Step-by-step explanation:

Assume that the price of one bag of popcorn is $p and the price of a drink is $d

∵ Samuel spends a total of $34 on 6 bags of popcorn and

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- Multiply p by 6 and d by 4, then add the products and equate

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∴ 6 p + 4 d = 34 ⇒ (1)

∵ Christopher spends a total of $66.25 on 12 bags of popcorn

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- Multiply p by 12 and d by 7, then add the products and equate

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∴ 12 p + 7 d = 66.25 ⇒ (2)

The system of equations is :

6 p + 4 d = 34

12 p + 7 d = 66.25

Now let us solve it

Multiply equation (1) by -2 to make the coefficients of p in the two equations equal in values and opposite in signs to eliminate it

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- Add equations (2) and (3)

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3 years ago
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Answer:

37.7

Step-by-step explanation:

The formula is C = 2 • 3.14 • r , you multiply the radius by pi/3.14, then you multiply that by product by 2.

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3 years ago
Kirsty counts the number of peas in a sample of pea pods
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Mode is most occurring

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5 0
3 years ago
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