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padilas [110]
3 years ago
7

A 180 ft long board is cut into 3 pieces. The second piece of board is twice as long as the first. The third piece of board is s

ix times as long as the first.
What is the length of the first piece of the board?
A. 20 ft
B. 40 ft
C. 60 ft
D. 120 ft
Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer:

Step-by-step explanation:

let  the first piece=x ft

second piece=2 x ft.

third piece=6 x ft.

x+2x+6x=180

9 x=180

x=20

first piece=20 ft.

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Srekar needs to increase the size of the prism below by 2 inches on each side. The original prism has a length of 3, a depth of
Leto [7]

Answer:

a b

Step-by-step explanation:

The options as obtained from the internet.

- the new prism will have a length of 5

- the new prism will have a depth of 4

- the new prism will have a height of 2

- the volume will increase by 6 and each of the 3 dimensions is increased by 2.

- srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

The volume of a rectangular prism is (length × depth × height)

Originally, length = 3 inches

Depth = 2 inches

Height = 1 inch

Original volume = 3×2×1 = 6 in³

Then, Sreka adds 2 inches to each of the dimensions,

New length = 3+2 = 5 inches

New depth = 2+2 = 4 inches

New height = 1+2 = 3 inches

New volume = (5×4×3) = 60 in³

Taking each of the statements one at a time

Statement 1

the new prism will have a length of 5

True!

Statement 2

the new prism will have a depth of 4

True!

Statement 3

the new prism will have a height of 2

False! New height = 3 inches

Statement 4

the volume will increase by 6 and each of the 3 dimensions is increased by 2.

This is false. The volume increased to 10 folds of its original volume.

Statement 5

srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

Adding 6 inches to the height,

New height = 1+6 = 7 inches

New volume = 3×2×7 = 42 in³

This statement is false as the new volume from adding 2 inches to each side is 60 in³

Hope this Helps!!!

5 0
3 years ago
Rewrite the expression by using grouping symbols. y • 4 + y • z
Free_Kalibri [48]

Step-by-step explanation:

the answer is B. y (4 + z)

4 0
3 years ago
Read 2 more answers
A single chocolate muffin has 260 calories, and a blueberry muffin has 240 calories. Both muffins can be bought at the local caf
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Answer:

364 calories

Step-by-step explanation:

1/2 of 240=120 calories

fruit platter =210 calories

1/3 of 102=34

120+210+34=364 calories

8 0
3 years ago
Anna is a teacher at an elementary school. She purchased 73 tickets to take the first-grade children and some parents on a field
Svetllana [295]

She bought 54 child tickets and 19 adult tickets.

Step-by-step explanation:

No. of tickets purchased = 73

Cost of tickets = $771

Cost of one child ticket = $9

Cost of one adult ticket = $15

Let,

Child ticket = x

Adult ticket = y

According to given statement;

x+y=73   Eqn 1

9x+15y=771   Eqn 2

Multiplying Eqn 1 by 9;

9(x+y=73)\\9x+9y=657\ \ \ Eqn\ 3\\

Subtracting Eqn 3 from Eqn 2;

(9x+15y)-(9x+9y)=771-657\\9x+15y-9x-9y=114\\6y=114\\

Dividing both sides by 6;

\frac{6y}{6}=\frac{114}{6}\\y=19

Putting y=19 in Eqn 1

x+19=73\\x=73-19\\x=54\\

She bought 54 child tickets and 19 adult tickets.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/3227215
  • brainly.com/question/3269852

#LearnwithBrainly

4 0
3 years ago
The circle graph shows how a family spends its annual income. If $26,450 is used for Auto and Entertainment combined, what is th
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12%+11%=23% so, $26,450/.23=$115,000.
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