Answer:
L=21.6in and w=13.6
Step-by-step explanation:
If the length is 8 inches longer than its width, we can write the width as "w" and the length as the width w+ 8
Area is (width)(Length) = (width)(width+8)
W
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| | L = w+8
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A = (w+8)(w)
A = w2 + 8w = 295.
(Problem states that area is 295 sq in)
Need to solve this quadratic equation
w2 +8y - 295 = 0
Factor:
(w - 13.64) (w + 21.64) = 0
So
w - 13.64 = 0. or. w + 21.64= 0
Solve these and get
w = 13.64. or. w = -21.64
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 13.64 inches
Length = 21.64 inches
Answer:
150 mL
Step-by-step explanation:
Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...
75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end
0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5
22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed
You will need 150 mL of the 75% solution.
Answer:
its 65. bcuz you add it all together
Step-by-step explanation:
11z/16+7z/8=5/16
(11z+14z)/16=5/16
25z=5
z=5/25=1/5
Hello and Good Morning/Afternoon
<u>Let's take this problem step by step.</u>
<u>What did we do in this problem</u>
- we ensured that both sides remained equally balanced in value
- took everything step-by-step to make sure that there were no mistakes
- to check it, we can plug it back into the original equation to see if it works
<u>Answer: x = 6</u>
Hope that helps!
#LearnwithBrainly
