If 1/10 of the tank is filled in 1/5 of an hour, then multiplying both of those by 5 you would get 5/10 of a tank being filled in a full hour, or answer choice A. Hope this helps! By the way, sorry for the incorrect answer a couple years ago :)
Answer:
Step-by-step explanation:
4(1/4) + 3/8 + 3(1/2) + 5/8 + 3/4
1 + 8/8 + 3/2 + 3/4
1 + 1 + 12/8 + 6/8
2 + 18/8
2 + 2 1/4
= 4 1/4 pounds
Answer:x = -9, y = -7
Step-by-step explanation:
Equation 1) -x + 4y = -19
Equation 2) -3x + 3y = 6
Multiply ALL of equation 1 by 3 so that both equations include -3x in it.
1) 3(-x + 4y = -19)
Simplify.-3x + 12y = -57 → equation 3
Now, subtract equation 3 from equation 2.
-3x + 12y = -57
(-)-3x + 3y = 6
Simplify.
9y = -63
Divide both sides by 9.
9y ÷ 9 = -63 ÷ 9
Simplify.
y = -7
Now that we have the value for y, simply plug in -7 for y into equation 1.
1) -x + 4y = -19-x + 4(-7) = -19
Simplify.-x - 28 = -19
Add 28 to both sides of the equal sign.
-x - 28 + 28 = -19 + 28
Simplify.-x = 9
Divide both sides by -1.x = -9
Now we know that : x = -9, y = -7
To check our work, simply plug in -9 for x and -7 for y into equation 1.
1) -x + 4y = -19-(-9) + 4(-7) = -19
Simplify.
9 - 28 = -19-19 = -19
Therefore, x = -9, y = -7
Hope this helped! :)
Answer:
Original price = $ 280.66
New price = $319.11
Step-by-step explanation:
Let the original price be = x
Given 13.7% of original price resulted in 38.45 increase
That is,
13.7% of x = 38.45

New price is 38.45 more than original price.
That is ,
New price = 280.66 + 38.45 = $ 319.11