Answer:
Step-by-step explanation:
The Westside recreation center built a new swimming pool that measures 20 ft by 15 ft. The pool is rectangular. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
Therefore, perimeter of the pool would be
2(20 + 15) = 70 ft
The formula for determining the area of a rectangle is expressed as
Area = length × width
Therefore, area of the pool would be
20 × 15 = 300 ft^2
The formula for determining the volume of a rectangle is expressed as
Volume = length × width × height
Given depth = 6 feet
Therefore, volume of the pool would be
20 × 15 × 6 = 1800 ft^3
Answer:
x+1=4x-2
Subtract x from both sides
1=3x-2
Add 2 to both sides
3=3x
Divide 3
x=1
You use $25 each week for food from the grocery store how many weeks if you have 145,775
The correct answer to this question is 1/5. To solve this, since 90 numbers exist in the range from 10 to 99, and 18 of them are divisible by 5, place these two numbers into the formula for probability.
Probability = target outcomes / total outcomes = 18 / 90
= 1/5
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The answer is
Final result :
x - 2
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :
2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :
2
Simplify —
3
Equation at the end of step 3 :
2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :
(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Final result :
x - 2
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