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scoundrel [369]
3 years ago
12

A board 96 inches long is cut into 2 pieces. The first piece is 6 inches longer than twice the length of the second piece. How l

ong is each piece?
Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0

Answer:

The length of the board is 60 inches. It's cut into two parts so that the longer piece is 5 times of the shorter part. The equation is formed as under...

Let's assume the shorter part is … x then the longer part is... 5x. The total parts are..

x + 5x = 6x and given that 6x is equal to 60 inches. Therefore...

If 6x = 60 inches then

x = 60/6 = 10 inches and the longer piece is 5x = 5.10 = 50 inches.

The shorter piece is 10 inches long and the length of the longer piece is 50 inches. Answer. Thanks.

Step-by-step explanation:

not sure

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15% of the apple trees are red delicious apple trees. The orchard has 36 red delicious apple trees.
grin007 [14]

Answer:

240

Step-by-step explanation:

240 times 0.15 (15%) is 36

8 0
2 years ago
A school district transported a total of 409 students and teachers to a zoo in buses and vans.
valina [46]

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2

Total number of students and teachers who rode to the zoo in buses will be

55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385

Total number of students and teachers who rode to the zoo in vans will be

12x\\\\=12\times 2=24

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

6 0
2 years ago
The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality?
mamaluj [8]

Answer:

21

Step-by-step explanation:

whats 9 + 10

8 0
3 years ago
Read 2 more answers
Use substitution to solve the system of equations.
dusya [7]

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

7 0
2 years ago
this week you read 57 pages. this is seven more than two times the number of pages read last week. write an equation and solve.
spayn [35]
57 = 7 + 2x
50 = 2x
x = 25

x being the number of pages read last week

Hope this helps a little!!
7 0
3 years ago
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