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3 years ago

Convert the unit of capacity. 1/8 pt = __ qt

Mathematics

1 answer:

Afina-wow [57]3 years ago

5 0

Answer:

1/16

Step-by-step explanation:

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How to solve the system of equation 500y-600x=2800 , 400y-400x=2400 by elimination

tatiyna

Answer:

$x=2$ and $y=8$

Step-by-step explanation:

Given:

Equation 1:

$500y-600x=2800$

Simplifying the above equation by dividing both sides by 100

$\frac{500y-600x}{100}=\frac{2800}{100}$

$\frac{500y}{100}-\frac{600x}{100}=28\\\\5y-6x=28$

Equation 2:

$400y-400x=2400$

Simplifying the above equation by dividing both sides by 400.

$\frac{400y-400x}{400}=\frac{2400}{400}$

$\frac{400y}{400}-\frac{400x}{400}=6\\\\y-x=6$

Now the system of equation is:

(1a) $5y-6x=28$

(2a) $y-x=6$

Solving by elimination

Multiplying equation (2a) with $-5$

$-5(y-x)=-5\times 6$

(2b) $-5y+5x=-30$

Adding equations (1a) and (2b) in order to eliminate $y$

$5y-6x=28$

+ $-5y+5x=-30$

We get $-x=-2$

∴ $x=2$

Plugging $x=2$ in equation (2a).

$y-2=6$

Adding $2$ both sides.

$y-2+2=6+2$

∴ $y=8$

7 0

3 years ago

Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than

guajiro [1.7K]

Answer:

112 km/h

125 km/hr

Step-by-step explanation:

Distance = time * speed

Distance = distance train 1 + distance train 2

474 = 2(s) + 2(s + 13)

Distribute

474 = 2s + 2s + 26

Combine like terms

474 = 4s + 26

Subtract 26 from both sides

448 = 4s

Divide both sides by 4

112 = s

s = 112 km/h

s + 13 = 125 km/hr

3 0

3 years ago

During the grand opening of the T-Shirt Shack at the Madera County Emu Farm, four of the emus broke through the fence and attack

Irina-Kira [14]

Given :

p = 0.68

margin of error, E = 0.1

99% confident interval

alpha, α = 1 - 0.99

= 0.01

$\frac{\alpha }{2}=\frac{0.01}{2} = 0.005$

∴ $z_{\alpha/2}=z_{0.005}=2.5758$ (z-critical value)

Sample size = $z_{\alpha/2} \times \frac{p(1-p)}{E^2}$

$=(2.5758)^2 \times 0.68 \times \frac{(1-0.68)}{0.1^2}$

$= 6.63475 \times 0.68 \times \frac{0.32}{0.01}$

= 144.37

= 145 (rounded off)

Therefore, there are 145 businesses does she need to sample to meet this criteria.

6 0

3 years ago

Using numbers 12,4,5,17,12 make 24. <br> Helllpppp

romanna [79]

Answer: To get 24

Step-by-step explanation

What you would need to do is first multiply 12 x 5 would come out as 60.

Then from 60 you subtract 17 and 12 to get 5. Divide by the 5 that you just got from 17 and 12 and to get 20. Using the 4 add it to the 20 to get 24.

4 0

3 years ago

A package of pencils cost $6.25 per set at an office supply store. Which equation can be used to determine the price, P, of n se

ladessa [460]

To solve, it would be 6.25n. That eliminates both 6n25 over P, P equals 6.25 over n, and n=6.25P, leaving P=6.25n as the answer.

5 0

3 years ago

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