Use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence below.24,31,38,45,52,..

Answers

Answer 1

Answer: $a_(500)=a_1+499r\n \n a_(500)=24+499*7\n \n a_(500)=24+3493\n \n a_(500)=3517$

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George wants to put carpeting in a rectangular living room and a square bedroom. The length and width of the living room is 12 feet by 18 feet one side of the square bedroom is 13 feet it will cost 3.50$ per foot to carpet the rooms A write an expression that can be used to find the total amount george will pay for carpeting
B evaluate the expression how much will George pay for carpeting

Answers

Answer:

The expression of the total amount George pay for carpeting is x = 385 × 3.50 .

$ 1347.5 will George will pay for carpeting .

Step-by-step explanation:

Formula

Area of the rectangle = Length × Breadth

Area of a square = a²

Where a is the side of the square .

As given

George wants to put carpeting in a rectangular living room and a square bedroom.

The length and width of the living room is 12 feet by 18 feet one side of the square bedroom is 13 feet .

Area of the living room = 12 × 18

= 216 ft ²

Area of the bedroom = 13²

= 169 ft ²

Total area = Area of the living room + Area of the bedroom

= 216 + 169

= 385 ft ²

As given

it will cost 3.50$ per foot to carpet the rooms .

First part

Let us assume that the total amount george will pay for carpeting be x .

Than

x = Total are of the living room and bedroom × cost of per foot carpeting .

x = 385 × 3.50

Second part

x = Total are of the living room and bedroom × cost of per foot carpeting .

x = 385 × 3.50

x = $ 1347.5

Therefore the $ 1347.5 will George will pay for carpeting .

(A) L=12ft*18ft($3.50)
      B=13ft*4($3.50)
(B) n=360ft+52ft($3.50)
      n=412ft($3.50)
      n= $14.42

47 times 0.76 =equals what

Answers

47 times .76 is equal to 35.72. Hope this helps :).

47 * .76
4
47
.76
282
329
3572
bring down the decimal point

35.72

What is the distance between (-4,-2) and (3,-2)?

Answers

d=square root of (X2-X1)^2+(Y2-Y1)^2

If you have a two-digit divisor and a three-digit dividend, does the quotient always have the same number of digits?

Answers

If you have a two-digit divisor and a three-digit dividend the quotient does not have the same number of digits. The number of digits of the quotient sometimes depends on how big the divisor and how big the dividend is. Sometimes it may be the same number of digits sometimes it is not.

Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. He earns $850 per week in sales. What is the minimum number of weeks it will take for Eduardo to make a profit?15 weeks

13 weeks

12 weeks

14 weeks

Answers

We may check it with each answer:

In 15 weeks he will earn $850 * 15 = $12 750
In 13 weeks he will earn $850 * 13 = $11 050
In 12 weeks he will earn $850 * 12 = $10 200
In 14 weeks he will earn $850 * 14 = $11 900

Now let's check how much he will spend for general expenses:

In 15 weeks he will spend $300 * 15 = $4 500
In 13 weeks he will spend $300 * 13 = $3 900
In 12 weeks he will spend $300 * 12 = $3 600
In 14 weeks he will spend $300 * 14 = $4 200

Now add $7500 to each option:

15 weeks: $4 500 + $7 500 = $12 000
13 weeks: $3 900 + $7 500 = $11 400
12 weeks: $3 600 + $7 500 = $11 100
14 weeks: $4 200 + $7 500 = $11 700

So:

In 15 weeks he will have expenses of $12 000 and he will earn $12 750
In 13 weeks he will have expenses of $11 400 and he will earn $11 050
In 12 weeks he will have expenses of $11 100 and he will earn $10 200
In 14 weeks he will have expenses of $11 700 and he will earn $11 900

In 12 and 13 weeks Eduardo won't earn enough money to have a profit, but he will obtain it after 14 and more weeks.

Answer: 14 weeks

I took this question in a quiz a couple of days ago and the correct answer is 14 weeks

Which statement describes every number that is a solution to the inequality 6t > 48?A) It has a value greater than 8
B) It has a value less than 8
C) It has a value equal to 8
D) Its value is 8 greater than 48

Answers

First let's show the work to prove if we are right:

$6t \geq 48 \n (6t)/(6) \geq (48)/(6) \n t \geq 8$ .

So, the answer is A) It has a value greater than 8.

I think the answer would be the 4th answer, letter D.

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