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iren2701 [21]
2 years ago
10

Please help with an explanation!

Mathematics
2 answers:
Artist 52 [7]2 years ago
3 0

Answer:

6 weeks

Step-by-step explanation:

Easier way to solve: If she takes 7 quizzes each week, 7 times something (amount of weeks) equals 42.

7 X <u>6</u> = 42

Solving with algebra: We know that hanna takes six quizzes a week and takes a total of 42 quizzes, therefore the unknown (x) is the amount of weeks she takes the quizzes.

Amount of weeks X amount of tests per weeks = 42 quizzes

<em>x </em>X 7 = 42

42/7 = 6

nekit [7.7K]2 years ago
3 0

Answer:

6 weeks

Step-by-step explanation:

42/7=6

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Answer:

43.96

Step-by-step explanation:

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2 years ago
5. Abbey Road Motors pays a percent commission to its sales people. They are paid
ira [324]

Answer:

c(p) = {0.2 p ⇒ p < 1000

           0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

           0.29 p - 140 ⇒ p > 2000}

Step-by-step explanation:

* Lets explain how to solve the problem

- The profit is represented by p

1. If the profit is under $1,000,  the commission rate is 20%

∵ The profit is p < 1000

∵ 20% of p = \frac{20}{100}*p = 0.2 p

∵ c(p) is the function of the commission

∴ c(p) = 0.2 p when p < 1000

2. If the profit is at least $1,000 and less than or equal to  $2,000, the

  commission rate is 20% of the first $1,000 and 24% of the remainder

  of  the profit

- At least means greater than or equal

∵ The profit 1000 ≤ p ≤ 2000

- The commission is divided into 20% of first $1000 and 24% of

  the reminder

∵ 20% of 1000 = \frac{20}{100}*1000 = 200

∵ The remainder of the profit = p - 1000

∵ 24% of the remainder profit = \frac{24}{100}*(p-1000)

  = 0.24(p - 1000) = 0.24 p - 240

∴ The total commission = 200 + 0.24 p - 240

∴ The total commission = 0.24 p - 40

∴ c(p) = 0.24 p - 40 when 1000 ≤ p ≤ 2000

3. If the profit is above $2,000, the rate is 20% of the first $1,000

   of profit,  24% of the next $1,000 of profit, and 29% of the amount

   of profit over $2,000

∵ The profit p > 2000

- The commission is divided into 20% of first $1000 and 24% of the

  next $1,000 of profit, and 29% of the amount of profit over $2,000

∵ 20% of 1000 = \frac{20}{100}*1000 = 200

∵ 24% of 1000 = \frac{24}{100}*1000 = 240

- The amount of profit over $2,000 = p - 2000

∵ 29% of the amount of profit over $2,000 =

   \frac{29}{100}*(p-2000) = 0.29(p - 2000)

   = 0.29 p - 580

∴ The total commission = 200 + 240 + 0.29 p - 580

∴ The total commission = 0.29 p - 140

∴ c(p) = 0.29 p - 140 when p > 2000

* The commission function is:

c(p) = {0.2 p ⇒ p < 1000

            0.24 p - 40 ⇒ 1000 ≤ p ≤ 2000

            0.29 p - 140 ⇒ p > 2000}

6 0
3 years ago
Factorize 3ab + 5ax​
Montano1993 [528]

Answer:

a(3b+5x)

Step-by-step explanation:

Factor 3ab+5ax

3ab+5ax

=a(3b+5x)

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7 0
3 years ago
Please help i have no idea what this is!!
Nesterboy [21]

Answer:

B

Step-by-step explanation:

y - y1 = m (x - x1)

y1 = 3

x1 = 5

m(the slope)= -12

7 0
3 years ago
Read 2 more answers
Incase you can’t read the questions it saids
Shtirlitz [24]

Answer:

Step-by-step explanation:

4 0
3 years ago
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