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3 years ago

A water pumps 40 gallons a minute. How long will it take to empty a 2,000 gallon tank?

Mathematics

1 answer:

Ivan3 years ago

3 0

Answer:

50 minutes

Step-by-step explanation:

Water pumps 40 gallons per minute, therefore it would take 50 minutes to pump 2,000 gallons.

2000/40 = 50 minutes

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How many litters of apple syrup and water did she use in the ratio of 2:3 and made 1800 ml of such fruit juice

sp2606 [1]

Answer:

720 mL ; 1080 ml

Step-by-step explanation:

Givenn:

Apple syrup : water = 2 : 3

Fruit juice volume made using the ratio above = 1800 ml

Sum of ratio = 2 + 3 = 5

Litres of Apple syrup :

(Syrup ratio / total) * total volume of fruit

(2 / 5) * 1800

= 0.4 * 1800

= 720 ml

Litres of water :

(water ratio / total) * total volume of fruit

(3 / 5) * 1800

= 0.6 * 1800

= 1080 ml

5 0

3 years ago

How can i explain that i am useing multiplication to solve the proportion

kow [346]

In order for us to answer this question, more information is needed.

8 0

3 years ago

You need to buy 5 notebooks for your classes at school. Each notebook costs $2.79. What is the total costs of 5 notebooks Before

aev [14]

multiply 2.79 x 5

2.79*5 = 13.95 before tax

3 0

3 years ago

Write an equation for the vertical translation y=-2/9 |x| -7; 1 units down

klasskru [66]

Answer:

y = -2/9 |X| - 8

Step-by-step explanation:

I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.

If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.

8 0

3 years ago

Read 2 more answers

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

29.1 0.1702

28.5 1.0252

28.8 0.5077

29.4 0.0127

29.8 0.0827

30.1 0.3452

30.6 1.1827

----------------------------------------

236.1 3.4088

Mean = 236.1 / 8 = 29.51

$S_{x}=\sqrt{3.4088/(8-1)}=0.6978$

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

$t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861$

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

$t$

Finding in the t distribution table α=0.05 with df=7, we have

$t_{0.05,7}=2.365$

$t>-t_{0.05,7}$ = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

5 0

3 years ago