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
Vikentia [17]
3 years ago
5

Three added to eight times a number is the same as three times the value of two times the number -1

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

The number x is -3

Therefore x=-3

Step-by-step explanation:

Given problem is "Three added to eight times a number is the same as three times the value of two times the number -1"

Let x be the number

It can be written as

3+8\times x=3(2\times x-1)

3+8x=3(2x-1)  ( applying the distributive property )

3+8x=3(2x)+3(-1)

3+8x=6x-3

subtracting (6x-3) on both sides we get

3+8x-(6x-3)=6x-3-(6x-3)

3+8x-6x+3=6x-3-6x+3

6+2x=0 ( ading the like terms )

2x=-6

x=-\frac{6}{2}

Therefore x=-3

The number x is -3

You might be interested in
you want to order carpet for an area in your house the room the room measures 12x10 feet remember A=LxW
Fantom [35]

Answer:

The carpet would have to be 120 square feet.

Step-by-step explanation:

12x10 equals 120.


Hope this helps.

7 0
3 years ago
Read 2 more answers
Find the area of the circle below
tangare [24]

Answer:

28.27433

Step-by-step explanation:

using the pie radius squared formula

pie radius squared=pie 3 squared

5 0
3 years ago
Read 2 more answers
What are the solutions to the quadratic equation (5y + 6)2 = 24? y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 End
Paladinen [302]

Answer:

there are two solutions:

a) y=\frac{-6+2\sqrt{6} }{5}, and

b) y=\frac{-6-2\sqrt{6} }{5}

Step-by-step explanation:

In the equation: (5y+6)^2=24, since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:

(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}

Therefore there are two solutions:

a) y=\frac{-6+2\sqrt{6} }{5}, and

b) y=\frac{-6-2\sqrt{6} }{5}

10 0
3 years ago
Read 2 more answers
Bella is wrapping a cube-shaped gift box that measures 8.5 inches along each edge. How many square inches of wrapping paper is n
dybincka [34]

we know that

The surface area of a cube is equal to

S=6*A

where

A is the area of one face of the cube

in this problem

A=8.5^{2}= 72.25\ in ^{2}

Find the surface area

S=6*72.25=433.5\ in ^{2}

therefore

<u>the answer is</u>

433.5\ in ^{2}  of wrapping paper is needed to cover the box completely

7 0
3 years ago
Box of T-shirtsAn empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams.The
butalik [34]

1. Name two possible solutions to the equation W = 250 + 132.5T. What do the solutions mean in this situation?

As you can see the weight of the box is given by:

W = 250 + 132.5T

So using this equation we can find the total weight given x number of t-shirts, for example: Suppose we want to know the total weight if the number of t-shirts is 50:

T= 50:

W = 250 + 132.5(50) = 250 + 6625 = 6875g

In the same way if we know the weight, we can determine the total number of t-shirts, for example, suppose the total weight is 5000g:

5000 = 250 + 132.5T

Let's solve for T:

Subtract 250 from both sides:

5000-250 = 132.5T

4750 = 132.5T

Divide both sides by 132.5:

4750/132.5 = T

38.849 = T

so we can conclude that there were approximately 39 t-shirts

6. Consider the equation 2,900 = 250 + 132.50T. In this situation, what is the solution to the equation and what does the solution tell us?

Basically they are telling us that the weight of the box in this case is 2900:

W = 2900

2900 = 250 + 132.5T

So, we can find the total number of t-shirts in the box solving the equation for T:

Subtract 250 from both sides:

2900 - 250 = 132.5T

2650 = 132.5T

Divide both sides by 132.5:

2650/132.5 = T

20 = T

T = 20

This solution tell us that there were 20 t-shirts in the box

7 0
1 year ago
Other questions:
  • 47 is the result when 12 and x are added. What is the value of x? Enter your answer in the box as a fraction in simplest form.
    12·2 answers
  • At the beginning of the quarter there were 40 students in our class. At the final exam, there are only 32 students left. By what
    8·2 answers
  • Nola purchased 2.5 pounds of cheese for $10.50. Her mother purchased 3 pounds of the same cheese for $12.60. The cost of cheese
    6·2 answers
  • Solve x/55 = 5/11. x=?
    15·1 answer
  • That’s the number is written in standard scientific notation?
    7·1 answer
  • The hyperloop would be able to travel 1,050 miles in 1 1/2 hours. how long would it take the acela train to travel that far?
    9·1 answer
  • Help no time plzzzz plz plz​
    11·1 answer
  • Answer please I need before Friday
    13·1 answer
  • What is the formula to find the area of a triangle? choose all that apply​
    12·1 answer
  • Work out the circumference of this circle.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!