Answer:
for the perimeter to be made into a equation it would take the equation
2(3x - 5) + 2(2x + 1)
And for the perimeter to equal 42 x would have to equal 5
Step-by-step explanation:
so first of all we have to find our equation to equal 42:
2(3x - 5) + 2(2x + 1) = 42
you then multiply 2 for both parentheses:
(3x * 2) + (-5 * 2) + (2x * 2) + (1 * 2) = 42
so its now:
6x -10 + 4x + 2 = 42
now your going to add variables to variables and numbers to numbers:
(6x + 4x) + ( -10 + 2) = 42
to get:
10x + (-8) = 42
Now your going to add 8 to both sides:
10x + (-8) = 42
+8 +8
Giving the equation:
10x = 50
now you divide both sides by 10 to get:
10x/ 10 = 50/10
x = 5
to solve you put 5 in place of the variable x:
2(3*5 - 5) + 2(2*5 + 1)
2(15 - 5) + 2(10 + 1)
20 + 22 = 42
So x equals 5 if the perimeter equaled 42
Your answer would be 48 3/17
Take a picture of the problem and then ask your question
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Answer:
x = 6/7 of a puzzle
Step-by-step explanation:
Number of puzzle : time taken
= 3/4 : 7/8
How much a puzzle can she complete in an hour?
Let
x = number of puzzle to complete
Number of puzzle : time taken
= x : 1
Equate both ratios to solve for x
3/4 : 7/8 = x : 1
3/4 ÷ 7/8 = x / 1
3/4 × 8/7 = x / 1
24/28 = x / 1
Cross product
24 * 1 = 28 * x
24 = 28x
x = 24/28
= 6/7
x = 6/7 of a puzzle
