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Strike441 [17]
3 years ago
8

You spend $20 total on tubes of paint and disposable brushes for an art project. Tubes of paint cost $4.00 each and paintbrushes

cost $0.50 each. You purchase twice as many brushes as tubes of paint. How many brushes and tubes of paint do you purchase?
Mathematics
1 answer:
hram777 [196]3 years ago
8 0
You are buying 2 items so let's use two different variables to represent each:
p = number of tubes of paint
b = number of disposable brushes
cost = price per item × number of items
Equations from information given:
4p + 0.50b = 20 ← from the first 2 sentences
2p = b  ← if there are twice as many brushes as paint tubes you need 2 times paint tubes to equal number of brushes
Solve the problem by using substitution... 1b equals 2p so replace b with that:
4p + 0.50(2p) = 20
4p + 1p = 20   ← 0.50 is half so half of 2p is 1p
5p = 20 ← combine like terms
p = 4   ← divide both sides of the equation by 5
Recall the equation 2p = b replace p with 4
2(4) = b 
8 = b
ANSWER:
You purchased 4 tubes of paint and 8 disposable brushes.
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Elza [17]

a.

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Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

We can write the function of the case as;

y=mx+b

where m is the amount she saves every week, and b the initial amount in her account.

\begin{gathered} m=\text{ \$18.25} \\ b=\text{ \$28.00} \end{gathered}

So, the function will be;

y=18.25x+28

b.

Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.​

Using the same rule as in a above;

\begin{gathered} m=-15\text{ (withdrawing is negative)} \\ b=161 \end{gathered}

The function will be;

y=-15x+161

c.

The graph of the two functions is shown below;

d.

The point where the two lines intersect is shown in the graph above.

The point is at;

(4,101)

Which is at week 4 and balance $101.

e.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

3 0
1 year ago
I need help with this please
lorasvet [3.4K]
Rectangle = 8x16 = 128
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If the slope of the number is positive (the graph goes upward from left to right), then m will be positive, but if the slope is negative (the graph goes downward from left to right), then m is negative. So, no. M does not have to be a positive number, it may also be negative.
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