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maw [93]
4 years ago
15

The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?

Mathematics
1 answer:
Andrews [41]4 years ago
6 0

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, P=72

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

Length,L=8w

Now, perimeter is given as:

P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}

Now, plug in 72 for 'P' and solve for 'w'. This gives,

w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4

So, the table is 4 units wide.

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Applicants who wish to be admitted to a certain professional school in a large university are required to take a screening test
Elden [556K]

Answer:

Probability of eligible applicants who pass the exam is 0.665

probability of applicants who are ineligible but pass the exam 0.063

Step-by-step explanation:

Total percentage eligible applicants who pass the exam

\textrm {89\%  of 70\%}= \dfrac{89\times70}{100}=62.3\%

Total  ineligible applicants  who pass the exam

\textrm {14\%  of 30\%}= \dfrac{14\times30}{100}=4.2\%

All applicants who pass this exam 62.3% + 4.2% = 66.5%

Probability of applicants who pass the exam

\textrm{probability }= \dfrac{66.5}{100}=0.665

Out of 66.5% applicants who pass the exam , 4.2% applicants are ineligible

\textrm{so the probability is}\dfrac{4.2}{66.5}=0.063

Probability of applicants who pass the exam is 0.665

probability of applicants who are ineligible but pass the exam 0.063

6 0
3 years ago
If a function is odd, then which statement is true?
jolli1 [7]
By definition, a function is odd if f(-x) = -f(x) for all x in the domain. The answer is choice C

Side note: a function is even if f(-x) = f(x) for all x in the domain
4 0
3 years ago
A customer pumps $35.40 total in gas and pays with a $50 bill. What is the amount of change the customer should receive?
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Answer:

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Step-by-step explanation:

5 0
2 years ago
A bowling alley charges $2.50 per game plus $4 to rent shoes. A second bowling alley charges $4 per game plus $1 to rent shoes.
adelina 88 [10]

Answer:

The person would have to play 2 games for the two bowling alleys to cost the same amount

Step-by-step explanation:

Assume that the number of games that makes the two costs equal is x

∵ A bowling alley charges $2.50 per game plus $4 to rent shoes

∵ The number of games is x

∴ The cost = 2.50x + 4

∵ A second bowling alley charges $4 per game plus $1 to rent shoes

∵ The number of games is x

∴ The cost = 4x + 1

∵ They have the same cost

→ Equate the 2 expressions above

∴ 4x + 1 = 2.50x + 4

→ Subtract 2.50x from both sides

∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4

∴ 1.50x + 1 = 4

→ Subtract 1 from both sides

∵ 1.50x + 1 - 1 = 4 - 1

∴ 1.50x = 3

→ Divide both sides by 1.50

∴ x = 2

∴ The person would have to play 2 games for the two bowling alleys to

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