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4 years ago

Nine times the sum of a number and 8 is 7

Mathematics

1 answer:

Sladkaya [172]4 years ago

5 0

this is the equation x+9+8=7

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Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri

Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after $\frac{640}{7}$ miles

Step-by-step explanation:

Given

The table represents the car mileage

$y = -\frac{1}{5}x + 31$ --- The van

First, calculate the car's slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the table, we have:

$(x_1,y_1) = (60,13.5);\ \ (x_2,y_2) = (180,10.5)$

So, we have:

$m = \frac{10.5 - 13.5}{180 - 60}$

$m = \frac{-3}{120}$

$m = -\frac{1}{40}$

Calculate the equation using:

$y = -\frac{1}{40}(x - 60)+13.5$

$y = -\frac{1}{40}x + 1.5+13.5$

$y = -\frac{1}{40}x + 15$

$m = -\frac{1}{40}$ implies that for every mile traveled, the car uses 1/40 gallon of gas

Also:

$y = -\frac{1}{5}x + 31$ --- The van

By comparison to: $y = mx + b$

$m = -\frac{1}{5}$

This implies that for every mile traveled, the van uses 1/5 gallon of gas.

By comparison:

$1/40 < 1/5$

This means that the car uses less gas

Solving (b): Distance traveled for them to use the same amount of gas.

We have:

$y = -\frac{1}{5}x + 31$ --- The van

$y = -\frac{1}{40}x + 15$ --- The car

Equate both

$-\frac{1}{5}x + 31 =-\frac{1}{40}x + 15$

Collect like terms

$\frac{1}{40}x -\frac{1}{5}x =-31 + 15$

$\frac{1}{40}x -\frac{1}{5}x =-16$

Take LCM

$\frac{x - 8x}{40} = -16$

$\frac{- 7x}{40} = -16$

Solve for -7x

$-7x = -640$

Solve for x

$x = \frac{640}{7}$

5 0

3 years ago

Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than sh

Ahat [919]

254 should be the answer ?

3 0

3 years ago

What is the discriminant of the quadratic equation 0=2x squared +3x-5

Y_Kistochka [10]

2x² + 3x - 5 = 0
a=2, b=3, c=-5
D = b² - 4ac = 3² - 4*2*(-5) = 9 + 40 = 49

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3 years ago

50000 fish were stocked in a lake with a 20% decrease each year . whats the 1st year will it be under 5000 fish

Marina CMI [18]

Answer:

no it will no be

Step-by-step explanation:

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3 years ago

Convert each of the following into fraction<br>(a)<br>32%<br>

Zinaida [17]

Answer:

8/25

Step-by-step explanation:

So 32% is essentially 32/100 now we can divide that even more so now we have 16/50(we divided it in half) but we can divide that again, so now we have 8/25 :)

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3 years ago