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Viefleur [7K]
3 years ago
11

A car can travel 24 miles for every 1 gallon of gasoline.

Mathematics
1 answer:
jasenka [17]3 years ago
5 0
The car can travel 235.2 miles on 9.8 gallons. Just multiply 24 by 9.8.
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Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Eduardwww [97]

Answer:

x=5/6 and y=8/5

(5/6 , 8/5)

Step-by-step explanation:

You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.

Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)

Here's what that looks like:

(-6x+1y=3)2

-12x+10y=6

So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.

12x+15y=34

-12x+10y=6

If we add the two equations now, x will be canceled out and we can solve for y.

   12x+15y=34

+(-12x+10y=6)

___________

     0x+25y=40

           25y=40

0x=0, so we can get rid of the x. Now, we need to solve for y.

25y=40

y=40/25

You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.

Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)

12x+15(8/5)=34

12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.

12x+24=34

12x=10

x=10/12

x=5/6 (Divide the numerator and denominator by 2.)

You can write your answer as a point, too. (5/6 , 8/5)

8 0
3 years ago
Which equation has the correct sign on the product
DanielleElmas [232]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Malcolm is driving 1,273 miles from Wichita to Charleston for a family reunion. He drives 418 miles the first day and 384 miles
guajiro [1.7K]
If Malcolm has driven 418 miles which is rounded to 420, and he has driven 384 miles which is rounded to 380, he has driven around 800 miles so far. Then you would subtract 800 from 1,273 you would get around 470 miles. That means Malcolm has 470 miles left to drive.
5 0
3 years ago
Read 2 more answers
Can you pls solve this???
Molodets [167]
Since the exterior angle of a triangle is equal to the sum of the interior opposite angles, angle 5 = 90 + angle 1.

Given that angle 5 = 147, 147 = 90 + x.
x = 57 degrees.

So, angle 1 is 57 degrees.
5 0
3 years ago
Which expression is EQUIVALENT to (m^8 n^-4) 1/4 ?
mamaluj [8]

Answer:

It's C because (m^8)^1/4 can simplify to (m^2)  

and (n^-4)^1/4 can simplify to (n^-1), which would then become 1/n because it is a negative exponent.  

Combine the two and you get: m^2/n

Step-by-step explanation:

6 0
3 years ago
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