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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Answer:
= 36000 caps
Step-by-step explanation:
First we need to figure out how many minutes between 8 am and 3:30 pm
There are 7 hours and 30 minutes.
1 hour = 60 minutes
Multiply each by 7
7 hours = 7*60 minutes = 420 minutes
So 7 hours 30 minutes = 420 + 30 = 450 minutes
Bottle caps = rate * minutes
= 80 caps/minute * 450 minutes
= 36000 caps
Answer:
Ariana is going to invest P($) in an account paying an interest rate of 3.4% compounded monthly.
After 14 years, the amount of money in Adrina's account is calculated by:
A = P x (1 + rate)^(time)
or
A = P x (1 + 3.4/12)^(14 x 12)
or
9200 = P x (1 + 3.4/12)^(14 x 12)
=> P = 9200/[(1 + 3.4/12)^(14 x 12)]
=> P = 5791.044$
Hope this helps!
:)
-0.2 you divide 15 by 3 and get .2 but it indicates a weak positive correlation so it will become negative
