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padilas [110]
3 years ago
12

What is the value of m? 3m+2-1/4m=1/2(m-5)

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

m=-2

hope this helped:)

Brainliest?

sertanlavr [38]3 years ago
5 0

Answer:

M=-2

Step-by-step explanation:

3m+2−1/4m=1/2(m−5)

Step 1: Simplify both sides of the equation.

3m+2−1/4m=1/2(m−5)

3m+2+−1/4m=(1/2)(m)+(1/2)(−5)(Distribute)

3m+2+−1/4m=1/2m+−5/2

(3m+−1/4m)+(2)=1/2m+−5/2

(Combine Like Terms)

11/4m+2=1/2m+−5/2

11/4m+2=1/2m+−5/2

Step 2: Subtract 1/2m from both sides.

11/4m+2−1/2m=1/2m+-5/2−1/2m

9/4m+2=−5/2

Step 3: Subtract 2 from both sides.

9/4m+2−2=−5/2−2

9/4m=−9/2

Step 4: Multiply both sides by 4/9.

(4/9)*(9/4m)=(4/9)*(−9/2)

m=−2

Answer:

m=−2

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2 years ago
Adena, Julius, and Tia volunteered to read to children at the public library. Julius worked two hours less than Tia. Adena worke
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Answer:

28 hours

Step-by-step explanation:

Adena, Julius, and Tia volunteered to read to children at the public library.

Let us represent, the number of hours worked by

Adena = x

Julius = y

Tia = z

Julius worked two hours less than Tia.

y = z - 2

z = y + 2

Adena worked twice as many hours as Julius.

x = 2y

Altogether they worked 58 hours.

x + y + z = 58.... Equation 1

We substitute 2y for x and y + 2 for z in Equation 1

2y + y + y + 2 = 58

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Collect like terms

4y = 58 - 2

4y = 56

y = 56/4

y = 14

We are the find the number of hours Adena worked which is represented by x

Note that:

x = 2y

y = 14, hence,

x = 2 × 14

x = 28 hours

Therefore, the number of hours Adena worked is 28 hours

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Step-by-step explanation:

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