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weqwewe [10]
3 years ago
14

17. You have $850 to buy new carpet for the game room. The dimensions of the game

Mathematics
1 answer:
gregori [183]3 years ago
3 0

Answer:

Cost of new carpet per square foot should be less than or equal to $3.54.

Step-by-step explanation:

Given:

Money have to buy carpet = \$850

dimension of game room is 20 feet by 12 feet

So we can say length l = 20 feet

and width w = 12 feet

let x be the cost per square foot for new carpet.

Assuming game room to be rectangular in shape we will find the area of it.

Area of room = length \ l \times width \ w = 20 ft\times 12 ft = 240 \ ft^2

Total area \times cost per square feet ≤ Total money we have

Hence,

240 \ ft^2 \times x \leq \$850\\\\x\leq \frac{\$850}{240 \ ft^2}\\\\x\leq \$3.54 \ per \ ft^2

Hence Cost of new carpet per square foot should be less than or equal to $3.54.

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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,135 was collected on the sale of 1,311 ticket
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Step-by-step explanation:

5 0
3 years ago
Of all the people applying for a certain​ job, 80% are qualified and 20​% are not. The personnel manager claims that she approve
motikmotik

Answer:

69.23% probability that a person is not qualified if he or she was not approved by the manager.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

In this problem, we have these following probabilities:

80% probability that a person is qualified

20% probability that a person is not qualified.

90% probability that a qualified person is approved.

10% probability that a qualified person is not approved.

10% probability that an unqualified person is approved.

90% probability that an unqualified person is not approved.

Find the probability that a person is not qualified if he or she was not approved by the manager.

Desired outcomes

Unqualified and not approved.

20% are not qualified. Of those, 90% were not approved. So

0.9*0.2 = 0.18

Total outcomes:

Qualified and not approved or unqualified and not approved.

80% are qualified. Of those, 10% were not approved

20% are not qualified. Of those, 90% were not approved. So

0.8*0.1 + 0.9*0.2 = 0.26

Probability

P = \frac{0.18}{0.26} = 0.6923

69.23% probability that a person is not qualified if he or she was not approved by the manager.

7 0
3 years ago
Choose the correct vertex for the following quadratic function.
frez [133]

Answer:

U (2,-1)

Step-by-step explanation:

if you replace x to 2, your answer will come out to be -1

7 0
3 years ago
Read 2 more answers
How much would $14,250 be worth in a savings account after 13 years if the account has a 5.25% APY and the interest is compounde
miss Akunina [59]

Answer:

$28,188.46

Step-by-step explanation:

The formula you need is:

A(t)=P(1+\frac{r}{n})^{nt}

Where A(t) is the amount after the compounding, P is the initial investment, r is the interest rate, n is the number of compoundings per year, and t is the time in years.  We are looking for A(t).  P is $14,250; r in decimal form is .0525; n is 52 since there are 52 weeks in a year; t is 13 years.  Filling in:

A(t)=14,250(1+\frac{.0525}{52})^{(52)(13)}

Simplifying inside the parenthesis and the exponential multiplication:

A(t)=14,250(1.0010096154)^{676}

Raising the number in parenthesis to the power of 676 gives us:

A(t) = 14,250(1.978137432)

Multiplying then gives us $28,188.46

3 0
3 years ago
Whats the greatest common factor of 42,28, and 70​
kobusy [5.1K]

Answer:

14

Step-by-step explanation:

70

  1 * 70

  5 * 14

  7 * 10

42

 1 * 42

 3 * 14

 7 * 6

28

 1 * 28

 2 * 14

 7 * 4

pick the largest factor from 70 and check it they also work with the other two. 14 is the GCF.

7 0
3 years ago
Read 2 more answers
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