Answer:
..................
Step-by-step explanation:
Answer: The number is: 4 ¼ ; or, write as 4.25 .
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</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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8x+38=2(11x+5)
divide 2 from both sides
4x+19=11x+5
minus 4x from both sides
19=7x+5
minus 5 from both sides
14=7x
divide by 7
2=x
so x would be 2
Answer:
150
Step-by-step explanation:
We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other.
We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.
24y=100(36)
24y=3600
y=150.
There are 150 students in the choir.
Answer:
120958130
Step-by-step explanation:
w=18473292
102484838+18473292=120958130
HOPE THIS HELP!
