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Marrrta [24]
2 years ago
6

Solve for x. 2x+3y=20 -2x+y=4

Mathematics
1 answer:
Mama L [17]2 years ago
3 0

Answer:

x = 1

Step-by-step explanation:

-2x + y = 4

y = 2x + 4

2x + 3y = 20

2x + 3(2x + 4) = 20

2x + 6x + 12 = 20

8x + 12 = 20

8x = 8

x = 1

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A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ar
kiruha [24]

Answer:

The pool can contain <u>4521.6 gallons</u> of water.

Step-by-step explanation:

Given:

The diameter of the cylindrical swimming pool = 16 feet.

And the height of the cylindrical swimming pool = 3 feet.

(1 ft³ = 7.5 gallons)

Now, to find the gallons of water the pool can contain.

So, we find the radius first:

Radius (r) = \frac{Diameter}{2} = \frac{16}{2} =8\ feet.

Height (h) = 3 feet.

Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):

Volume=\pi r^2h

Volume=3.14\times 8^2\times 3

Volume=3.14\times 64\times 3

Volume=602.88\ feet^3.

<em>Thus, getting the volume of pool 602.88 feet³.</em>

<em>As, given 1 ft³ = 7.5 gallons</em>.

Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:

602.88\times 7.5

=4521.6\ gallons.

Therefore, the pool can contain <u>4521.6 gallons</u> of water.

7 0
3 years ago
Elijah earn 200$ for 8 hours of work. what is the unit rate(in dollars per hour)
Marysya12 [62]

Answer: 25 dollars per hour.

Step-by-step explanation: Rate this for free toast.

4 0
3 years ago
Solve 5n + 6 = -3n - 10
Verizon [17]

Hi there! :)

Answer:

\huge\boxed{n = -2}

5n + 6 = -3n - 10

Solve for n:

Add 3n to both sides:

5n + 3n + 6 = -3n + 3n - 10

8n + 6 = -10

Subtract 6 from both sides:

8n + 6 - 6 = -10 - 6

8n = -16

Divide both sides by 8:

8n/8 = -16/8

n = -2.

3 0
3 years ago
Read 2 more answers
Student performance across discussion sections: A professor who teaches a large introductory statistics class (197 students) wit
adell [148]

Answer:

The test is not significant at 5% level of significance, hence we conclude that there's no variation among the discussion sections.

Step-by-step explanation:

Assumptions:

1. The sampling from the different discussion sections was independent and random.

2. The populations are normal with means and constant variance

H_0: There's no variation among the discussion sections

H_1: There's variation among the discussion sections

\alpha =0.05

                Df     Sum Sq       Mean sq    F value     Pr(>F)

Section     7       525.01         75             1.87            0.99986

Residuals  189    7584.11        40.13

Test Statistic = F= \frac{75}{40.13} =1.87

Pr(>F) = 0.99986

Since our p-value is greater than our level of significance (0.05), we do not reject the null hypothesis and conclude that there's no significant variation among the eight discussion sections.

3 0
2 years ago
Two trains, Train A and Train B, weigh a total of 493 tons. Train A is heavier than Train B. The difference of their weights is
Vladimir79 [104]

Answer: Area of the floor or ceiling: Multiply the length by the width (10 feet x 12 ... feet (10 feet wide x 8 feet high) and the other is 96 square feet (12 feet x 8 feet). ... divide the total square footage of the floor by 9 (120 square feet / 9 ... To convert an area from square feet into square inches, simply multiply by 144.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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