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bogdanovich [222]
3 years ago
12

(a) Amy pumped 35 gallons of water out of her pool. This was done over a period of 5 minutes at

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0

Answer:

7 gallons

Step-by-step explanation:

35 gallons: 5 minutes

find constant rate(one min per x number of gallons)

35:5

divide by 5 to get one minute

7:1

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What is the slope of the line that passes through the points (4, 4)(4,4) and (10, 7) ?(10,7)? Write your answer in simplest form
Mashutka [201]

The slope of line passing through the points (4, 4) and (10, 7) is \frac{1}{2}

<em><u>Solution:</u></em>

Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)

The slope of line passing through (x_1 , y_1) and (x_2, y_2) is given as:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Given two points are (4, 4) and (10, 7)

\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7

Substituting the values in formula, we get

\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}

Reducing to lowest terms, we get

m=\frac{1}{2}

Thus slope of line passing through given points is \frac{1}{2}

8 0
3 years ago
Which company is better
lana [24]

Answer:

both because thats what i think

8 0
3 years ago
Sommer wants to buy a new car. She currently drives a car that gets 24 miles per gallon. She is contemplating buying a car that
frozen [14]

answer

$962.50

set up equation

first, we want to find out how many gallons of gas she'll save a year

x1 = gallons for old car

x2 = gallons for new car

gallons saved = x1 - x2 since she uses more gallons with the old car with a lower miles per gallon

then, find how much she saves on gas by multiply the price per gallon (3.85) by gallons saved

price saved = gallons saved * price

price saved = (x1 - x2) * 3.85

gallons with old car

to find the number of gallons, we divide the number of miles (15000) by miles per gallon (24 for the old car)

x1 = 15000 / 24

x1 = 625

gallons with new car

use the same process as with the old car, but with 40 miles per gallon instead

x2 = 15000 / 40

x2 = 375

plug in values

price saved = (x1 - x2) * 3.85

price saved = (625 - 375) * 3.85

price saved = 250 * 3.85

price saved = $962.50

3 0
3 years ago
The difference of a number c and 17 is more than 33​
serg [7]

Answer:

c > 50

Step-by-step explanation:

c -17 > 33 \\ c -17 +17 > 33 +17 \\ c > 50

4 0
3 years ago
Three students are from a plate of cookies.Daniel ate 1/12 of the cookies, Mariel ate 4/12 of the cookies, and Tamika ate 2/12 o
Mrac [35]

Answer:

5/12  of cookies left on the plate

Step-by-step explanation:

we have to add to know what part of the dish ate and then subtract it from the total

1/12 + 4/12 + 2/12 =

when we are adding fractions with the same denominator we simply add the above

1 + 4 + 2 = 7

1/12 + 4/12 + 2/12 = 7/12

now to the total of the plate that would be 1 we subtract what they ate

1 - 7/12 =

the whole 1 can be expressed as 12/12 since if we do the 12/12 = 1 account

12/12 - 7/12

for the subtraction with the same denominator the same thing happens as for the sum, we only do it with the top

12 - 7 = 5

12/12 - 7/12 = 5/12

8 0
3 years ago
Read 2 more answers
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