Well we know that the perimeters are equal so:
Psquare = Prectangle
we know perimeter for square is the 4 sides of same lengths added up or 4*s
the perimeter of a rectangle is the then4 sides with 2 being equal added up so 2*L + 2*W
we know that a square side equAls s and it says that s=8x. So:
Psqu = 4 * (8x) (substitute 8x for s)
we know that the rectangle L =10x + 8 and W =10. So
Prect = 2 *(10x + 8) + 2 * (10)
we know :
Prect = Psqu so:
4 * (8x) =2 *(10x + 8) + 2 * (10)
32x = 20x + 16 + 20
12x = 36
x = 3
So if x equals 3 we can sub x in for square perimeter
Psqu = 4 *(8 * 3)
P = 4 * 24
P = 96
we can check this with rectangle perimeter
P = 2 *(10 * 3 + 8) + 2 *10
P = 2 * 38 + 20
P = 96
It would be four. You can have four negative numbers and they will turn positive. For example, if you had -2 x -2 x -4 x -4 = 64. 64 would be positive because two negative numbers equal a positive number.
Answer: The number is: 4 ¼ ; or, write as 4.25 .
<span>_____________________________________________
</span>Explanation:
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We set up the problem as:
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5(x − 2) = 7+ x ; Solve for "x" (our "unknown number"; which is the answer).
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Using the "distributive property of multiplication" :
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a*(b + c) = ab + ac ; AND:
a* (b − c) = ab − ac ;
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Let us take the "left-hand side" of our equation and expand it:
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5(x − 2) = (5*x) − (5*2) = 5x − 10 ;
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and rewrite the equation; substitute our "expanded value" for the "left-hand side";
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→ 5(x − 2) = 7+ x ; ↔ 5x − 10 = 7+ x ;
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Now, subtract "x" from EACH SIDE of the equation; & add "10" to EACH SIDE of the equation;
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→ 5x − 10 − x + 10 = 7+ x − x + 10 ;
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→ to get: 4x = 17 ;
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→ Now, divide EACH side of the equation by "4"; to isolate "x" on one side of the equation; and to solve for "x" (our answer);
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→ 4x / 4 = 17 / 4;
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→ x = 17/4 = 17 ÷ 4 = 4 ¼ ; or, write as 4.25 .
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→ Answer: The number is: 4 ¼ ; or, write as 4.25 .
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→Let us check our answer:
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"Five times the difference of a number and 2" ;
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→ 5* (x − 2) = 5 * (4.25 − 2) = 5 * (2.25) = 11.25 ;
→ Is "11.25" , SEVEN MORE THAN 4.25??
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→ 11.25 − 4.25 =?? 7 ??? Yes!
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[6.2x10^7]x[3x10^2]
=1.86x10^10
The hint is in the question. All you do is times the projection in 2030 with 1950 population.
Each glass will get 1 7/9 of a cup because a Fallon is 16 cups and 16÷9=1.77777777778, which in fraction from is 1 7/9. I can justify my answer because 1 7/9×9=16. Good Luck!
