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OleMash [197]
3 years ago
12

10 POINTS!!!!! Show all work when needed

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0

Answer:

bruh this is hard so I don't know

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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
Luna and Ginny each cast magic spells. The ratio of spells Luna casts to spells Ginny casts is represented in the tape diagram.
Anna35 [415]

Answer:

Ginny will cast  2525 spells

Step-by-step explanation:

The ratio of spells Luna casts to spells Ginny casts is:

Luna :4

Ginny :5

4 spells of Luna is equivalent to 5 spells of Ginny

1 spell of Luna is equivalent to 5/4 spells of Ginny

Luna casts 2020 spells

It means Ginny will cast 2020\times \dfrac{5}{4} spells

i.e. Ginny will cast  2525 spells

6 0
3 years ago
Read 2 more answers
Meiko is hanging a picture-collage on her wall. The dimensions of the collage are shown in the diagram. She plans to cover the c
Tanzania [10]

Answer:

32

Step-by-step explanation:

6 0
3 years ago
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I need help with this <br>​
-BARSIC- [3]

Answer:

Step-by-step explanation:

3 + 6 * 4 - 80 / 10 + 4 - 18 = 3 + 24 - 8 + 4 - 18 = 27 - 8 + 4 - 18 = 19 + 4 -18 = 23 - 18 = 5

6 0
3 years ago
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What is the mass of a 350 cm cubed sample of pure silicon with a density of 2.336 g/cm cubed?
olganol [36]
D = m
----
v

2.336 g/cm^3 = m
----
350
(350) 2.336 = m

817.6g = m


5 0
3 years ago
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