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MatroZZZ [7]
3 years ago
10

Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for eve

ry hour driven, and after driving for 4 hours, there were 7 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Victoria's gas tank after tt hours of driving.
Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

14 represents the amount of gas in gallons in the full gas tank of the vehicle

t is the number of hours

Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons

Hence, the equation we want to write will be;

G = 14 - 1.75(t)

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3 years ago
Tara has 4 4/5 feet of rope. Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope? Show your work. Part B:
aleksley [76]

Answer:

Part A

12 pieces

Part B

Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.

Step-by-step explanation:

Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope?

This is calculated as:

4 4/5 feet of rope ÷ 2/5 foot pieces

= 24/5 ÷ 2/5

= 24/5 × 5/2

= 12

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given

The quotient in Part A is 12

Therefore, this can be interpreted as:

Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.

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3 years ago
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8 0
2 years ago
8•x + 10 +2x +4 •x + 8 -6
Tcecarenko [31]

Answer:

14x + 12

Step-by-step explanation:

8 times x would be 8x

4 times x would be 4x

8x+10+2x+4x+8-6

8x+2x+4x=14x

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5 0
2 years ago
A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght
never [62]

Answer: \frac{17}{2}m^2+m-5

Step-by-step explanation:

By definition, the perimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

If you solve for "l":

P-2w=2l\\\\l=\frac{P-2w}{2}

In this case, you know that the following expression represents  the perimeter of the rectangle:

19m^2+2m-10

And the width of that rectanle is represented wih this expression:

m^2

Therefore, based on the explained above, you can conclude that the lenght  of that rectangle is given  by:

\frac{19m^2+2m-10-2(m^2)}{2}

Finally, simplifying the expression, you get:

=\frac{17m^2+2m-10}{2}=\frac{17}{2}m^2+m-5

8 0
3 years ago
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