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spayn [35]
3 years ago
5

1. Eric has $115 to spend on back to school clothes. So far, he has spent $90. Write an inequality to show how much more money E

ric can spend.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0
Eric can spent $29 for now
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scoray [572]
SO you know that triangles add up to 180. A right angle equals 90 so 180-90=90. And an isosceles triangle means that 2 angles are congruent. SO 90/2 = 45. The measure of the 2 acute angles are 45
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3 years ago
In the first equation in the system of equations, y represents the money collected from selling sweatshirts. In the second equat
NeTakaya

Answer:

The solution x = 229.89 ≅ 230 (since we cannot have a decimal number of sweatshirts)implies that, the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

Step-by-step explanation:

Here is the complete question

In the first equation in the system of equations, y represents the money collected from selling sweatshirts. in the second equation, y represents the money spent to produce x sweatshirts with team logos on them for a professional sports league.

y=35x; y=-0.05(x-400)²+9,492

what does the solution of the system represent in this context?

Solution

The solution of the system is obtained when both equations are equal. That is y=35x = y=-0.05(x-400)²+9,492 .

So, 35x = -0.05(x-400)² + 9,492.

Expanding the right side, we have

    35x = -0.05(x² - 800x + 160000) + 9492

    35x = -0.05x² -800x × -0.05 + (-0.05) × 160000 + 9492

    35x = -0.05x² +40x - 8000 + 9492

    35x = -0.05x² +40x + 1492

Collecting all the terms to the left side, we have

0.05x² - 40x - 1492 + 35x = 0

0.05x² - 5x -1492 = 0

Using the quadratic formula,

x = \frac{-(-5) +/- \sqrt{(-5)^{2} - 4 X 0.05 X - 1492}  }{2X0.05}   = \frac{5 +/- \sqrt{25 + 298.4}  }{0.1} =  \frac{5 +/- \sqrt{323.4}  }{0.1}\\=  \frac{5 +/- 17.983 }{0.1}\\=  \frac{5 - 17.983 }{0.1}  or  \frac{5 + 17.983 }{0.1}\\= \frac{-12.983 }{0.1} or  \frac{22.983 }{0.1}\\= -129.83 or 229.83

We choose the positive answer x = 229.83. Since we cannot have a decimal number of sweatshirts, we approximate to the nearest whole number. So, x = 229.83 ≅ 230 sweatshirts.

The solution implies that the money collected from selling sweatshirts equals the money used in producing sweatshirts when 230 sweatshirts have been sold or produced.

We confirm that by plugging in x = 229.83 in both equations.

y = 35x = 35(229.83) = 8044.05 ≅ 8044.1

y=-0.05(x-400)²+9,492 = y=-0.05(229.83-400)²+9,492 = y=-0.05(-170.17)²+9,492 = y=-0.05(28,957.8289)+9,492 = -1447.8914 + 9492 = 8044.11 ≅ 8044.1

3 0
3 years ago
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What’s the simplified principal square root of -36
Musya8 [376]

Answer:

6

Step-by-step explanation:

because 36 is a perfect square root.

3 0
2 years ago
Plz help asap will markbrainliest
kicyunya [14]

This is called a Supplementary Angle, meaning the angles <em><u>MUST</u></em> add up to 180 Degree.

Angle 1 will be 94 (94-18 = 76).

Angle 2 will be 13 (8x13 = 104).

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The figure shows a plastic holder for two cups. Which numerical expression gives the area of the top of the plastic?
mamaluj [8]

Answer:

(10*5) - 2(pi(2.5)^2)

Step-by-step explanation:

First we find the area of the rectangle. This is (10*5) since the diameter of the circles is 5 (half of 10) which means that the width of the rectangle is 5, and that the length is 10.

We then find the area of the two circles. One circle can be found using the radius (2.5)(half of the diameter, 5). This gives us pi(2.5)^2 for one circle. We multiply this by two to account for both circles. Then we subtract that from the area of the rectangle to find out how much the area of the plastic is.

This gives us (10*5) - 2(pi(2.5)^2)

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3 years ago
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