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grandymaker [24]
3 years ago
13

I need help with 3 problems.

Mathematics
1 answer:
kherson [118]3 years ago
3 0

Answer:3(3m−2)=2(3m+3)

Use the distributive property to multiply 3 by 3m−2.

9m−6=2(3m+3)

Use the distributive property to multiply 2 by 3m+3.

9m−6=6m+6

Subtract 6m from both sides.

9m−6−6m=6

Combine 9m and −6m to get 3m.

3m−6=6

Add 6 to both sides.

3m=6+6

Add 6 and 6 to get 12.

3m=12

Step-by-step explanation:

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Write the expression: the quotient of the quantity k minus 12 and m. A) 12 − m k B) m − 12 k C) 12 − k m D) k − 12 m
Len [333]

Answer:

Option D) (k − 12)/m                          

Step-by-step explanation:

We have to write an expression:

the quotient of the quantity k minus 12 and m.

k minus 12 can be written as:

k - 12

The quotient of (k-12) and m means (k-12) is divided by m.

This can be written as:

\dfrac{k-12}{m}

Thus, the correct answer is

Option D) (k − 12)/m                                                                      

4 0
4 years ago
Can someone plz help me solve this problem I need help plz someone help me!
cestrela7 [59]

Answer:   25 < P < 36

              15/4 < w < 26/4

              35/4 < L < 46/4

<u>Step-by-step explanation:</u>

Perimeter is BETWEEN 25 and 36

           25 <    P    < 36

Graph:  O--------------O

            25              36

Perimeter = 2L + 2w  ; substitute L = w + 5        

             25 < 2(w + 5) + 2w < 36

             25 < 2w + 10  + 2w < 36

              25 <  4w + 10          < 36

               15 <           4w         < 26

               \dfrac{15}{4} <             w         < \dfrac{26}{4}

              3\dfrac{3}{4}  <              w        <  6\dfrac{1}{2}

Graph:     O------------------------O

              3\dfrac{3}{4}                             6\dfrac{1}{2}

Perimeter = 2L + 2w  ; L = w + 5   --> w = L - 5      

             25 < 2L + 2(L - 5)  < 36

             25 < 2L + 2L  - 10 < 36

              25 <  4L - 10        < 36

              35 <           4L      < 46

              \dfrac{35}{4} <             L       < \dfrac{46}{4}

              8\dfrac{3}{4}  <            L      <  11\dfrac{1}{2}

Graph:     O------------------------O

               8\dfrac{3}{4}                          11\dfrac{1}{2}

Note: Make sure you use OPEN dots when graphing.

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