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Katyanochek1 [597]
4 years ago
13

Katie and Pamela put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes af

ter certain amounts of time (x), in weeks, are shown by the equations below:
Katie y = 30x + 20
Pamela y = 20x + 90

After how many weeks will Katie and Pamela have the same amount of money in their money boxes, and what will that amount be?

6 weeks, $150
6 weeks, $230
7 weeks, $150
7 weeks, $230
Mathematics
2 answers:
makkiz [27]4 years ago
4 0
They should both meet at 230 in 7 weeks.
tresset_1 [31]4 years ago
3 0

Answer:

D"  7 weeks, $230

Step-by-step explanation:

I JUST TOOK THE TEST :) ;)

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A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base
Olenka [21]

Answer:

The base of triangle is  \frac{8}{\sqrt{3}} \ m and the height of triangle is  \frac{12}{\sqrt{3}} \ m.

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = x\times\frac{1}{2} =\frac{x}{2} \ m.

The height of triangle = x\times \frac{3}{4} =\frac{3x}{4}\ m.

The area of triangle = 16\ m^2.

Now, we put the formula of area to solve:

Area=\frac{1}{2} \times base\times height

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<em>Multiplying both sides by 16 we get:</em>

<em />256=3x^2<em />

<em>Dividing both sides by 3 we get:</em>

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<em>Using square root on both sides we get:</em>

\frac{16}{\sqrt{3}}=x

x=\frac{16}{\sqrt{3}}

Now, by substituting the value of x to get the base and height:

Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.

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Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.

<em>Thus, the height of triangle =  </em>\frac{12}{\sqrt{3}} \ m.<em />

Therefore, the base of triangle is  \frac{8}{\sqrt{3}} \ m and the height of triangle is  \frac{12}{\sqrt{3}} \ m.

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