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VashaNatasha [74]
2 years ago
13

A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas a

t 5:00 PM. Is the amount of gas used proportional to the distance the car drove? Why or why not?
Mathematics
1 answer:
Marina86 [1]2 years ago
7 0

Answer:

Yes,

Step-by-step explanation:

You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.

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A duck flew at 18 miles per hour for 3 hours,
mrs_skeptik [129]
First, you do 18 miles times 3 hours.
The answer is 54
The you do 15 miles time 2 hours
The answer is 30
You can add them all up and get 84 miles total. (D)
5 0
3 years ago
Read 2 more answers
Some students are going on a field trip. The cost of the trip is $100, in addition to $7per student. Write an equation that rela
grigory [225]

Answer: C= 100+7n

Step-by-step explanation:

5 0
2 years ago
Will mark as Brainlist
Semmy [17]

The answer :

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

4 0
3 years ago
For his phone service, Charlie pays a monthly fee of $ 18 , and he pays an additional $ 0.06 per minute of use. The least he has
schepotkina [342]

Answer:

Charlie has used his phone in a month for at least 1404 minutes

Step-by-step explanation:

In order to solve this problem, we must first determine what will our variable be and what it will represent.

Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.

After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

18+0.06x\geq 102.24

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

18+0.06x-18\geq 102.24-18\\\\0.06x\geq 84.24

Next, we can divide both sides of the inequality by 0.06 so we get:

0.06x/0.06\geq 84.24/0.06\\\\x\geq 1404

so that's where the answer came from. Charly has used an amount of at least 1404 minutes

7 0
3 years ago
13. In A ABC, if m BF is an angle bisector, find<br> m
Tresset [83]

If in the triangle ABC , BF is an angle bisector and ∠ABF=41° then angle m∠BCE=8°.

Given that m∠ABF=41° and BF is an angle bisector.

We are required to find the angle m∠BCE if BF is an angle bisector.

Angle bisector basically divides an angle into two parts.

If BF is an angle bisector then ∠ABF=∠FBC by assuming that the angle is divided into two parts.

In this way ∠ABC=2*∠ABF

∠ABC=2*41

=82°

In ΔECB we got that ∠CEB=90° and ∠ABC=82° and we have to find ∠BCE.

∠BCE+∠CEB+EBC=180  (Sum of all the angles in a triangle is 180°)

∠BCE+90+82=180

∠BCE=180-172

∠BCE=8°

Hence if BF is an angle bisector then angle m∠BCE=8°.

Learn more about angles at brainly.com/question/25716982

#SPJ1

4 0
1 year ago
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