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3 years ago

What is the slope of the line passing through the points (6, 7) and (1, 5) ?

2 answers:

8 0

Well Slope is change in y over change in x. So y2-y1/x2-x1. 5-7=-2, 1-6=-5 so -2/-5 or 2/5 as negatives cancel each other out. A common way it is also represented is delta y/ delta x. Delta meaning change in. The answer is 2/5

Lyrx [107]3 years ago

4 0

5-7 = -2 and 1-6= -5 so the slope would be 2/5. you would set it up like this:

y=2/5x and then your y-intercept

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A water tank already contained 24 gallons of water before a pump was switched to fill it. The pump started at 10:00 am and by 10

grigory [225]

Answer:

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

Step-by-step explanation:

Given:

Water tank initially contained = 24 gallons of water

The pump to fill the tank was switched to fill it.

From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.

By 1:00 PM the tank contained 120 gallons of water.

To write an equation which will tell the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours

Solution:

Initially, gallons of water in tank = 24

From 10:00 AM to 10:30 AM the tank had 40 gallons of water.

Thus, in half an hour the pump filled = $40-24$ = 16 gallons

Using unitary method:

If in $\frac{1}{2}$ of an hour water filled = 16 gallons

So, in 1 hour the water filled will be = $16\times 2$ = 32 gallons

In 3 hours the water filled will be = $32\times 3$ = 96 gallons

Thus, by 1:00 PM the water in the tank will be = $96+24$ = 120 gallons

This confirms the data given for 1:00 PM.

This shows that the rate at which the pump fills the tank is 32 gallons of water per hour.

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

4 0

3 years ago

Q. The Pythagorean Theorem is<br> c2=g2-62<br> O True<br> O False

jek_recluse [69]

Answer:

true

Step-by-step explanation:

true

6 0

3 years ago

Read 2 more answers

Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X. -r - 24 r - 24 2r2 - 6r - 33 2r2 + 6r + 33

melamori03 [73]

Answer:

r - 24

Step-by-step explanation:

[X · Y - Z] = (r + 2)(2r - 9)] - (r^2 + 17r + 30)

= (2r^2 + 4r - 9r - 18 ) - r^2 - 17r - 30

= 2r^2 - 5r - 18 - r^2 - 17r - 30

= r^2 - 22r - 48

= (r +2)(r - 24)

[X · Y - Z] / X

= [(r +2)(r - 24)] / (r + 2)

= r - 24

7 0

4 years ago

Read 2 more answers

Rico lives in Michigan, which has a sales tax of 6%. He just bought some

stepladder [879]

Answer:

D. $150.80

Step-by-step explanation:

We have been given that Rico lives in Michigan, which has a sales tax of 6%. He just bought some water skis, whose full price was $180, but he presented the retailer with a coupon for $40, which the retailer accepted.

The total amount paid by Rico for the ski would be cost of ski plus sales tax minus coupon amount.

$\text{Total amount paid by Rico}=(\$180+\$180\times \frac{6}{100})-\$40$