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
poizon [28]
3 years ago
11

How do I solve for -31 -8r = -3(5r -6)

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
You might be interested in
An acute isosceles triangle has an angle of 80° that is located across from the longest side in the
Natali [406]

An

Step-by-step explanation:

8 0
3 years ago
An observer, whose eyes are 1.98 m above the ground, is standing 39.2 m away from a tree. The ground is level, and the tree is g
lozanna [386]

Answer:

The tree is 16.25 m tall.

Step-by-step explanation:

Attached is a diagram that better explains the problem.

From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.

To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.

Using SOHCAHTOA trigonometric function:

tan(20) = x/39.2

=> x = 39.2 * tan(20)

x = 39.2 * 0.364

x = 14.27m

Hence, the height of the tree is:

(14.27 + 1.98)m

16.25m

The tree is 16.25 m tall.

5 0
3 years ago
How many times should you divide by 10 to divide a number by 1000? Explain.
Elena-2011 [213]

Answer:

yassssssssssssssssssssssssssssssssssssssssssssss ewasrbesuriueshds

5 0
2 years ago
.cuál es el resultado de 3.15+2​
sp2606 [1]

Answer:

3.15+2=5.15

The answer is 5.15.

6 0
3 years ago
When I left the house this morning, I noticed that I was short on cash,” Gary said. “I spent one-half of what I had on my train
Margarita [4]
I think the answer is $9.25
7 0
3 years ago
Other questions:
  • Answer to question one pleaseeeee help !!
    12·1 answer
  • Twice a number X is most -24
    11·1 answer
  • Jrian"s plane was supposed to leave at 1:25. If he arrived one hour and 52 minutes early, what time did he arrive at the airport
    13·2 answers
  • Which of the following statements are true? Check all that apply.
    11·1 answer
  • 10.5 divided by 1.5 equal show the work out
    13·1 answer
  • What si the answer to the following question<br> y = x ^2 + 3 x + 3
    6·2 answers
  • The equation 8(y-3)= -40 is solved in several steps below. For each step, choose the reason that best justifies it.
    12·1 answer
  • Help me with this pls
    6·2 answers
  • Solve for y: 5y = 9 1/2
    14·2 answers
  • 2[(3x + 5) – 7] = 3(4x – 3)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!