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3 years ago

3 is subtracted from the square of a number.

Mathematics

1 answer:

frozen [14]3 years ago

7 0

Answer:

$x^{2}$ -3

Step-by-step explanation:

Three subtracted by a square of a number. So, let's say the number is x. The square of it is $x^{2}$ . So $x^{2}$ -3 is three subtracted by a square of a number.

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81p² + 5 = 41 how do I solve by square roots

ycow [4]

Answer:

p = ± $\frac{2}{3}$

Step-by-step explanation:

Given

81p² + 5 = 41 ( subtract 5 from both sides )

81p² = 36 ( divide both sides by 81 )

p² = $\frac{36}{81}$ ( take the square root of both sides )

p = ± $\sqrt{\frac{36}{81} }$

= ± $\frac{\sqrt{36} }{\sqrt{81} }$ = ± $\frac{6}{9}$ = ± $\frac{2}{3}$

3 0

3 years ago

A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together

sineoko [7]

Answer:

The equations system is:

x + y = 10

0.5x + 0.9y = 6

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Liters of 60% acid solution needed = 10

x = Number of liters of the 50% solution

y = Number of liters of the 90% solution

2. Which equation represents the total liters of acid that are needed?

There are two equations needed:

The first one related to the total liters needed, 10 in this case:

x + y = 10

The second one related to the acid concentration of the 10 liters:

0.5x + 0.9y = 10 * 0.6

0.5x + 0.9y = 6

The equations system is:

x + y = 10

0.5x + 0.9y = 6

Solving for x and y in the 2nd equation, we have:

0.5 (10 - y) + 0.9y = 6

5 - 0.5y + 0.9y = 6

0.4y = 6 - 5

0.4y = 1

y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)

The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.

6 0

3 years ago

Explain how to use two bar diagrams to find 45% of $60.

konstantin123 [22]

I thin you just have to multiply .45 which is 45% and 60 together and it is 27

8 0

4 years ago

Estimate the solution of the system of equations. Write the answer as an ordered pair.

AysviL [449]

(1,2.5) would be the solution to the system of equations

8 0

3 years ago

2. Find the surface area of a cylindrical can of tennis balls if the height of the can is 8

alina1380 [7]

Answer:

125.7 square inches

Step-by-step explanation:

The surface area of a cylinder is the sum of the areas of the two circles on each end and the area encircling "rectangle". Note that the length of this "rectangle" is the height of the can, while the width is the perimeter of the circle. The full equation is:

$A=2 \pi r^2 +2 \pi r h\\A=2 \pi r(r+h)\\A=2 \pi (2)(2+8)\\A=40 \pi\\A=125.7$

7 0

3 years ago

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