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Molodets [167]
2 years ago
5

When Frank buys three packs of pens, he knows he has 36 pens. When he buys five packs, he knows he has 60 pens. What is the cons

tant of proportionality between the number of packs and the number of pens?
Mathematics
1 answer:
ExtremeBDS [4]2 years ago
6 0

Answer:

The answer is 12. There are 12 pens in each pack.

Step-by-step explanation:

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15 is 60% of what number?
Mazyrski [523]
15 is 60% of 25. 15/25 is equal to .6 or 60%
8 0
2 years ago
Read 2 more answers
-12x + 12 = 4 - 15x + 9
emmainna [20.7K]

Answer:

x = 1/3

Step-by-step explanation:

-12x + 12 = 4 - 15x + 9

Combine like terms

-12x +12 = -15x+13

Add 15x to each side

-12x+12 +15x = -15x+15x+13

3x+12 = 13

Subtract 12 from each side

3x+12-12 = 13-12

3x = 1

Divide by 3

3x/3 = 1/3

x = 1/3

8 0
3 years ago
Joyce is trying to solve the equation y = x2 − 8x + 7 using the quadratic formula. She has made an error in one of the steps bel
kobusy [5.1K]

Answer:

x = 1 , 7

Step-by-step explanation:

Solution:-

- The given equation is as follows:

                          y = x^2 - 8x + 7

- We can solve the above equation by either making factors or by using Quadratic formula.

Factor Approach:

- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".

- So the only factor of "7" are:

                        7 x 1 = 7

                       -7 x -1 = 7

- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":

                       x^2 -x -7x + 7 = 0

- Take common multiples out of pair of two terms:

                        x*(x-1) -7*(x-1) = 0

                        (x-7)*(x-1) = 0

- So we equate each term in bracket with "0" and evaluate the values of x:

                        (x-7) = 0  , x = 7

                        (x-1) = 0   , x = 1

- So the solution to the quadratic equation is:

                        x = 1 , 7

               

4 0
3 years ago
There is an order to give acetaminophen 0.5 g po for a temperature greater than 38C. You have acetaminophen 250mg tablets. Mrs.s
Aleks04 [339]

Convert the grams into milligrams. 0.5 = 500 (to covert you'll multiply .5  x 1000).

D/H x Q will be the formula to use now that we have like terms (mg).

D= dose to give

H = dose that is supplied

Q= quantity to give

In this case your numbers will be

D = 500mg

H = 250mg

Q = 1 tablet

500 ÷ 250 = 2

2 x 1 = 2

 So, that means you will give 2 tablets to your patient.

6 0
2 years ago
Mr. Thompson is buying rulers for his class.
lord [1]

Answer:

D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.

Step-by-step explanation:

A: 1 Ruler for $0.25

B: $0.30

C: $0.20

D: $0.15

4 0
2 years ago
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