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3 years ago

A dishwasher uses 5.04 gallons of hot water in 12 minutes. What is this rate in gallons per hour?

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

4 0

Answer:

0.42 gallons per hour

Step-by-step explanation:

Marysya12 [62]3 years ago

3 0

Answer:

25.2 gallons

Step-by-step explanation:

If it uses 5.04 gallons of water in 12mins

Then, 1min=5.04/21

=0.42 gallons

1hrs=60mins

So, 60×0.42=25.2 gallons

1hrs is equal to 60mins and 60÷12=5

So, 5.04×5=25.2 gallons

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Enter the equation of the line in slope-intercept form.

ad-work [718]

Answer:

$y = \frac{7}{4}x +14$

Step-by-step explanation:

Given

$y = \frac{7}{4}x + 4$

Required

Determine the equation of line that passes through (-8,0) and parallel to $y = \frac{7}{4}x + 4$

Parallel lines have the same slope.

In $y = \frac{7}{4}x + 4$

The slope, m is

$m = \frac{7}{4}$

because the general form of a linear equation is:

$y = mx + b$

Where

$m = slope$

So, by comparison:

$m = \frac{7}{4}$

Next, is to determine the equation of line through (-8,0)

This is calculated using:

$y - y_1 = m(x - x_1)$

Where

$m = \frac{7}{4}$

$(x_1,y_1) = (-8,0)$

So, we have:

$y - 0 = \frac{7}{4}(x -(-8))$

$y - 0 = \frac{7}{4}(x +8)$

$y - 0 = \frac{7}{4}x +\frac{7}{4}*8$

$y - 0 = \frac{7}{4}x +7*2$

$y - 0 = \frac{7}{4}x +14$

$y = \frac{7}{4}x +14$

6 0

3 years ago

karen ran 1/3 of the way from her home to school. she ran 1/4 mile. what is the distance in miles between her home and school?

Elena L [17]

Answer:

¾ miles

Step-by-step explanation:

⅓ : ¼ mile

1 : X

X = ¾

3 0

3 years ago

Juan bought fruit from the grocery store. The variables below define his purchase. Juan’s bananas cost half as much as apples. W

mixas84 [53]

Answer:

$B = \frac{1}{2}A$

$A = 2B$

Step-by-step explanation:

Given

Represent apple with A and Banana with B

Required

Determine the relationship between A and B

From the question, we understand that:

B costs half as much as A

This can be represented as:

$B = \frac{1}{2} * A$

$B = \frac{1}{2}A$

Multiply both sides by 2

$2*B = \frac{1}{2}A*2$

$2B = A$

$A = 2B$

4 0

3 years ago

A rectangle was rearranged to form a parallelogram. How is the height of the parallelogram similar to and different from the wid

Daniel [21]

A parallelogram is just a rectangle with the sides angled, it’s pretty much the same as a rectangle and all your working out should be the same as a rectangle

5 0

3 years ago

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS

lord [1]

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

aₙ = a + (n - 1)d

We have:

a₆ = 15
a₉ = 16

The difference of these terms is:

(a + 8d) - (a + 5d) = 16 - 15
3d = 1
d = 1/3

Then the first term is:

a + 5*1/3 = 15
a = 15 - 5/3 = 13 1/3

The nth term equation is:

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

1/3n + 13 = 22
1/3n = 22 - 13
1/3n = 9
n = 9*3
n = 27

7 0

3 years ago