1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oksi-84 [34.3K]
3 years ago
7

Please help me. 5(m-7)=-8(3m+8)

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

m = -1

Step-by-step explanation:

Solve for m:

5 (m - 7) = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

You might be interested in
What is 8(s-1) simplified?
Sati [7]
8s-8 is answer
Just distribute
6 0
3 years ago
Read 2 more answers
Triangle 2 and triangle 3 were created by drawing an altitude in triangle 1. What is the relationship between the green highligh
Naily [24]

Answer:

Triangle 1 line segment AB and triangle 2 line segment BA correspond to each other

Step-by-step explanation:

Point b and point a don't correspond to anything else

triangle 1 and 2 are congruent my answer would be a 50/50 guess between C and D If it were me id risk it and go D but it is up to you.

4 0
3 years ago
If the diameter of the circle is 6 cm, find its circumference. [Use 3.14 for π.] A) 18.84 cm B) 25.12 cm C) 37.68 cm D) 50.24 cm
agasfer [191]
Circumference = π * d

π=3.14
diameter = 6

3.14 * 6 = 18.84.
The answer is A.

Hope this helped☺☺
7 0
3 years ago
Read 2 more answers
Given the parent function f(x)=x^3 give the best description of the graph of y = -(2x)^3
GalinKa [24]

Answer:

Reflect and compress

Step-by-step explanation:

7 0
3 years ago
0-6
dybincka [34]
<h3>Given :-</h3>
  • Pranav ran 20.3 km more than Branda

  • Pravin ran 38.6 km

\\  \\

To find :

  • No. of kilometers did Brenda run.

\\  \\

<h3>Let :</h3>

  • No. of kilometers ran by Brenda be x.

\\  \\

<h3>Solution:</h3>

\\  \\

Equation formed:-

\\  \\

Total distance covered by Pravan = More distance covered by Pravan + distance covered by Brenda.

Therefore:-

\\  \\

\leadsto \sf38.6 = 20.3 + x

Write the equation

\\  \\

\leadsto \sf38.6 - 20.3 =x

When we transfer 20.3 to left side the positive sign (+) will change into negative sign (–)

\\  \\

\leadsto \sf x = 38.6 - 20.3

Arrange the equation because x is always represented at left side.

\\  \\

\leadsto \boxed {\pmb{\sf x = 18.3}}\star

After subtracting 38.6 with 20.3 we will get result as 18.3 .

\\  \\

\therefore \red{ \underline{  \pmb{\frak{Distance  ~ covered ~by ~Brenda~ is ~equal ~to~18.3~kilometers}}}}

7 0
3 years ago
Other questions:
  • The vertices of a rectangle in the standard (x,y) coordinate place are (0,0), (0,4), (7,0) and (7,4). If a line through (2,2) pa
    11·1 answer
  • Subtract use model if needed <br><br> (9x+5) - (4x+3)=
    14·2 answers
  • Mr anderson wrote 7 times 9 times 10 on the board what is the value of that expression
    14·1 answer
  • Which of the given points would be in a table generated by the equation below?
    12·1 answer
  • When numbers are rounded the digits in the lesser place value become?​
    10·1 answer
  • Solve for N:<br> -24 - N = 12<br> Explain how you solved it.
    9·2 answers
  • Ill give brailest
    9·1 answer
  • In ΔRST, r = 530 cm, s = 530 cm and t=950 cm. Find the measure of ∠T to the nearest 10th of a degree.
    14·1 answer
  • Helppp plz helpp this is hard
    11·1 answer
  • The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!