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charle [14.2K]
3 years ago
5

A pump currently contains 4 7/8 gallons of water but needs to be filled to capacity. The capacity of the pump is 9 5/8 gallons.

How much more water is needed to completely fill the pump? Express your answer in simplest mixed-number form.
Mathematics
1 answer:
omeli [17]3 years ago
8 0
--------------------------------------------------------------
Given information
--------------------------------------------------------------
Capacity = 9 5/8 gallon
Current Level = 4 7/8 gallon

--------------------------------------------------------------
Given information
--------------------------------------------------------------
Water needed = 9 5/8 - 4 7/8
Water needed = 8 13/8 - 4 7/8
Water needed = 4 6/8
Water needed = 4 3/4

--------------------------------------------------------------
Answer: 4 3/4 gallon of water is needed
--------------------------------------------------------------

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sveticcg [70]

When I had these kinds of problems, I'd count how many negatives there were. If there more or less negatives to positives, then it is negative. If there's the same amount of positives and negatives, then it's positive since they cancel out! The answer to this is A. (-2)(-4)(8)(-1)=-64.

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A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal
juin [17]

Answer: H_0:p\leq0.72

H_a:p\neq0.72

Step-by-step explanation:

Given :  A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% .

Let 'p' be the new proportion of high school seniors who felt that "getting rich" was an important personal goal .

Claim : p\neq0.72

We know that the null hypothesis has equal sign.

Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-

H_0:p=0.72

And the alternative hypothesis must be :-

H_a:p\neq0.72

Hence,  the null hypothesis and the alternative hypothesis that we would use for this test :

H_0:p\leq0.72

H_a:p\neq0.72

5 0
3 years ago
Solve the linear system below using the substitution method. <br> y = 5x – 22<br> 3x +2y=34
insens350 [35]

Answer:

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What is an equation of the line that passes through the points (0, -7) and (-8, 3)?
avanturin [10]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -\frac{5}{4} x-7  

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the given points into the formula and solve:

m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}

So, the slope is -\frac{5}{4}.

2) Now, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. Substitute real values for the m, x_1, and y_1 in the formula.

Since m represents the slope, substitute -\frac{5}{4} in its place. Since x_1 and y_1 represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7

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Answer:

4

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If you add up all of those, you get 24. Then you divide by 6. 24/6 = 4.

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