Question:- Alana biked 12 miles in 48 minutes. What is Alana's speed in miles per minute?
Answer:-
Set up a proportion.
12/48 = 1/x
Cross multiply.
12*x = 12x
48*1 = 48
12x = 48
12x/12 = 48/12
x= 48/12
x= 4
Now, we have our final answer. x = 4
Final answer:- Alana bikes 4 miles per minute.
A-2b=-10
add 2b on both sides
a=2b-10
add 10 to both sides
a+10=2b
divide both sides by 2
a/2+10/2=a/2+5=b
b=5+a/2
Answer:
-3x^4 - 13x^3 + 14x - 7
Step-by-step explanation:
(5x^4 – 9x^3 + 7x – 1) + (-8x^4 + 4x^2 – 3x + 2) - (-4x^3 + 5x - 1)(2x – 7)
simplify multiplied terms
(-4x^3 + 5x - 1)(2x – 7)
(-4x^3+10x-8)
group like terms together
(5x^4-8x^4) + (-9x^3-4x^3) + (7x-3x+10x) + (-1+2-8)
simplify grouped terms
-3x^4 - 13x^3 + 14x - 7
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<em>We will assume the tent is in the shape of a triangular prism.</em>
The volume of a triangular prism can be found with the following formula, where
is the width at the base,
is the height, and
is the length.

Substitute in the known values.

Simplify — use multiplication.



Simplify — use division.

The volume — or in this case, the amount of living space — is
.