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Nana76 [90]
2 years ago
5

Angelica started with half a tank of gas in her car, and she used of that. Write an equation in the text box. Solve to show how

much of a full tank she used.
Mathematics
1 answer:
Nookie1986 [14]2 years ago
5 0

Ans

Step-by-step explanation:

Let one full tank = x

Then by the given statement, Angelica started with x/2

Suppose she used half of that, then,

x/4. So that x/4 - x/2 = x/4

This implies that she travelled half the distance she would have, using a full tank.

Suppose her destination requires 3 full tanks, then she would stop three times for a refill.

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Shtirlitz [24]

Answer:

  y = (7/2)x -20

Step-by-step explanation:

The given line is in slope-intercept form, so you can read its slope from the equation.

  y = mx + b . . . . . m is the slope; b is the y-intercept

  y = -(2/7)x + 9 . . . . . . has slope -2/7

The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...

  m = -1/(-2/7) = 7/2

We can use this and the given point to write the equation in point-slope form.

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We have m = 7/2, (h, k) = (4, -6) so the equation is ...

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4 0
3 years ago
runben sees 14 wheels on a total of 6 bicycles and tricycles how many bicycles and tricycles are there
olganol [36]

Answer:

B = 4

T = 2

Step-by-step explanation:

First, figure out the equation.

We know that bicycles have 2 wheels, that there are 3 on a tricycle, and there are a total of 14 wheels and a total of 6 bicycles and tricycles.

Let b stand for bicycles and t stand for tricycles:

14 = 2b + 3t

6 = b + t

We can figure out the amount of either by rearranging the second equation to isolate one variable. I will solve it in two ways

In the first way, I will solve for b

(-t) 6 = b + t (-t)

6 - t = b

Plug this into the first equation and solve for remaining variable

14 = 2(6 - t) +3t

14 = 12 - 2t + 3t

14 = 12 +t

-12   -12

2 = t

6 - 2 = b

b = 4

The second way was to solve for t first

(-b) 6 = b + t (-b)

6 - b = t

14 = 2b + 3(6 - b)

14 = 2b + 18 - 3b

(-18) 14 = 18 -b  (-18)

-4/-1 = -b/-1

b = 4

6 - 4 = t

t = 2

It doesn't matter which way you go, they both give you the exact same answer.

Sooo, recap!

1) write equations

2) switch the easier of the two to isolate one variable

3) substitute to find other variable  (x2)

4) Find answers! =D

Hope this helps!

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Answer:

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Step-by-step explanation:

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