Isolate the variable using algebraic manipulation.





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Answer:
meter
Step-by-step explanation:
We have to write first what is known from the information.
Let's say, length is L, width is W, and height is H
1. The length of the box is 2 1/2 m = 2,5 m = 5/2 m, it is 1 9/16 = 25/16 times it's width (L). So we have the equation :
L ≡ 
Then we find the W. From the fraction above, we found W equals to
meter
2. What is the height of the box, if its volume is 12 3/4 m^3 = 51/4 m^3
Formula of a volume is :
The area wide times the height
In this problem, the equation is :
L × W × H = Volume
Insert the numbers,
×
× H = 
From the fraction above, we can find that H equals to
meter
Is known that
(a + b)² = a² + 2.a.b + b²
So:
(x + 4)² = x² + 2.x.4 + 4² = x² + 8x + 16
Answer
Step-by-step explanation:
Answer:
96.
Step-by-step explanation:
Divide the silver beads by 85=96
Then divide the black beads by 30=96.
Total necklaces that can be made: 96