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
vitfil [10]
3 years ago
9

Solve the following equation for W: 5(w-2)+10=3(2w-9)+5​

Mathematics
1 answer:
storchak [24]3 years ago
5 0

Answer:

w=22

Step-by-step explanation:

5(w-2)+10=3(2w-9)+5

1) Use the Distributive Property for 5(w-2) and 3(2w-9):

5w-10+10=6w-27+5

2) Combine alike terms:

5w=6w-22

3) Add a 22 to both sides:

22+5w=6w

4)Subtract 5w from both sides:

w=22

You might be interested in
A rectangular prism shaped toy box is 52 centimeters long. The perimeter of one side of the box is 90 centimeters. The height of
Archy [21]

Answer:

The volume of the toy box is 25688 cubic centimetres

Step-by-step explanation:

The 6 faces of a rectangular prism are rectangles, each two opposite faces are equal in dimensions, its dimensions are L, W, H, so two faces has dimensions L , W, two faces L , H and two faces W , H

The formula of the volume of it is V = L × W × H

∵ The toy box is shaped a rectangular prism

∵ The toy box is 52 cm long

∴ H = 52 cm

∵ The perimeter of one side is 90

- Perimeter of any rectangle is twice the sum of its dimensions

∴ Twice the sum of two dimensions of the side = 90 cm

- Divide it by 2 to find the sum of the two dimensions

∴ The sum of two dimensions = 90 ÷ 2 = 45 cm

The sum of two dimensions is less than the height of the box, that means 45 is the sum of the other two dimensions L and W

∵ L + W = 45

∵ The height of the box is is twice as long as it’s width

∴ H = 2 W

∵ H = 52 cm

∴ 52 = 2 W

- Divide both sides by 2

∴ 26 = W

∴ W = 26 cm

Substitute the value of W in the equation of the sum of the two dimensions to find L

∵ L + 26 = 45

- Subtract 26 from both sides

∴ L = 19 cm

∵ V = L × W × H

∴ V = 19 × 26 × 52

∴ V = 25688 cm³

The volume of the toy box is 25688 cubic centimetres

7 0
3 years ago
Help please in picture below
Flauer [41]

Answer:

vertex is a point where two sides meet

5 0
1 year ago
Describe the correct answer to this problem including units what is the volume of the figure
Andru [333]

Step-by-step explanation:

height = √6.5² - 2.5² = 6ft

8 0
3 years ago
What is the sum of the measures of the exterior angles of this triangle?
Paladinen [302]

Answer:

17 degrees.

Step-by-step explanation:

Total sum of angles on a triangle always make 180

112+51=163

180-163=17

6 0
3 years ago
02119a rectangular pool is 7 feet wide. it is 3 Times as long as it is wide
marshall27 [118]
What are you looking for?? Area? Perimeter?
5 0
3 years ago
Other questions:
  • a carpenter has a board that is 8 feet long.he cuts off two pieces,one piece is 3 1/2 feet long and the other is 2 1/3 feet long
    11·1 answer
  • Suppose a railroad rail 2 kilometers in length expands 16 centimeters on a hot day. How many meters would the center rise above
    14·1 answer
  • George has $23 to spend on art supplies he wants to buy markers papers and glue if the total cost of markers and papers is more
    12·1 answer
  • Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a com
    14·1 answer
  • Plz help. As soon as you can!
    11·1 answer
  • Jessica has 5 members in the sewing club that she started. in order to get school sponsorship she must have at least 30 members.
    10·1 answer
  • What is the opposite of -|-32|
    12·1 answer
  • Which of the following is parallel to the line y=2/3x+5
    11·1 answer
  • Find the sum of 3x² + 5x - 1 and x² - 2x -7​​
    14·2 answers
  • Solve 5x=80. (Round to three decimal places.)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!