Bradley does lawn work on the weekends. He charges $12 per lawn and $5 per hour to trim bushes. Which expression represents the total amount of money he will earn if
he mows 2 lawns and trims bushes for “h” hours?
A. 12 + 2 + 5 + h
B. 2h + 5 × 12
C. 2 × 12 + h
D. 2 × 12 + 5h

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The answer would be 'D'. 2 x 12 + 5h

Step-by-step explanation:

In this case, you know that Bradley mows two lawns and for every lawn, he charges $12. If you were not given the number of lawns mowed, you would've had something like 12x with 12 representing the charge for every lawn mowed and x representing the actual amount of lawns mowed. However, since you were given the amount of lawned mowed (2) you can put 12(2) or 12 x 2 instead of 12x.

With this, you can eliminate every answer that does not include 12 x2 or 2 x 12. (You can eliminate answers A and B)

Now for the number of hours for the bushes trimmed. The same rules apply to this.

The variable (h) would be included here since we were not given the information on how many hours it took. 5 represents the amount that he charges for every hour and h is the unknown amount. However, if we were also given the info for this like let's say 3 hours, it would be 5(3) instead of 5x. But that's a different story.

So with this let's combine the two terms. You have 2 x 12 and 5h so, in the end, you have: 2 × 12 + 5h

I hope my explanation wasn't too confusing. I tried my best to put it in simple terms

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).