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crimeas [40]
2 years ago
10

- If 2x2 + 8y = 121.5 and x2 - 8y = 121.5, then x = 9 6.36 16 7

Mathematics
1 answer:
Natalija [7]2 years ago
4 0

Step-by-step explanation:

2x² + 8y = 121.5

x² - 8y = 121.5

Add the equations together to eliminate the y terms.

3x² = 243

x² = 81

x = 9

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This confuses me can I some help? Mary's mom gave her $100 to go shopping. She bought a shirt for $22.65 and a skirt $33.31. She
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I believe the answer would be 49.64 because if you add them together 22.65+33.31 = 55.96 x .10 = 5.60 55.96-5.60 = $49.64
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2 years ago
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Find the binomial coefficient: 2012/2011
seropon [69]
 ²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (2012-2011)!]

²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (1)!]

Simplify 2012! / (2011)! = 2012

²⁰¹²C₂₀₁₁ = (2012)! / (1)!  = 2012
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2 years ago
This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w
Dmitry [639]

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

3 0
2 years ago
A refund of $3.15 on a $8.64 bill
Varvara68 [4.7K]

8.64 - 3.15 = $5.49 if this is what you are asking

5 0
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A salesman used three types of order forms: A, B, C. He used 40 of Form A. Of Form B he used four times as many as Form A plus 1
aivan3 [116]

Answer:

a. 440

Step-by-step explanation:

The information provided allows us to set up the following system of linear equations:

A = 40\\B=4A+0.5C\\C=A+0.5B

We already have the value for A, solving the system gives us the values for B and C:

A = 40\\B=(4*40)+0.5C\\C=40+0.5B\\\\B -B-80 = (4*40)+0.5C-2C\\C=\frac{160+80}{1.5}\\C=160\\B= (4*40) +(0.5*160)\\B=240

The total number of forms used is:

A+B+C = 40+240+160 = 440

He used 440 forms.

4 0
2 years ago
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