A 1400 sq ft house is advertised for sale at a price of $125,000. What is the cost per square foot?

Answers

Answer 1
Answer: The answer is $89.28.

Let's use the proportion for this:
If 1400 ft² costs $125,000, 1 ft² will cost x:
1400 ft² : $125,000 = 1 ft² : x

Now, crossing the products:
x · 1400 ft² = $125,000 · 1 ft²
· 1400 = $125,000
x = $125,000 
÷ 1400
x = $89.28

Therefore, 1 square foot costs $89.28.
Answer 2
Answer: If you would like to know the cost per square foot, you can calculate this using the following steps:

1400 sq ft house ... $125,000
1 sq ft ... $x = ?

1400 * x = 125,000 * 1
1400 * x = 125,000
x = 125,000 / 1400
x = $89.29

The correct result would be $89.29.

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Solve for the indicated variable. Use whichever method seems easiest.(2y+3x)^2=9 for y
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The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

Answers

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of  similar sides of two similar figures is (m)/(n), then the proportion of their area is (m^2)/(n^2).

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

(x^2)/(3^2)=(9)/(1)

(x^2)/(9)=(9)/(1)

x^2=9\cdot 9

x^2=81

Take positive square root as length cannot be negative:

√(x^2)=√(81)

x=9

Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.

Answer:

the answer is 9

Step-by-step explanation:

Just did the lesson

an item has listed price of 85$. If sales tax rates is 3 percent, how much is the sales tax (in dollars)

Answers

Answer:

$2.55

Step-by-step explanation:

If you Multiply $85 by 0.03 you get your answer because you have to turn the 3% into a decimal which you have to move the decimal two places to the left.

A railroad crew can lay 5 miles of track each day. They need to lay 135 miles of track.The length, L (in miles), that is left to lay after d days is given by the following function L(d) = 135 - 5d how many miles of track does the crew have left to lay after 17 days?

Answers

Answer:

Step-by-step explanation:

Write an algebraic expression to represent each of these 6 verbal expressions.1. 7 less than fifteen times a number
2. the difference of nine times a number and the quotient of 6 and the same number
3. the sum of 100 and four times a number
4. the product of 3 and the sum of 11 and a number
5. four times the square of a number increased by five times the same number
6. 23 more than the product of 7 and a number

Answers

Answer:

1. 15n - 7

2. 9n - (6/n)

3. 4n + 100

4. 3(11 + n)

5. 4n^2 + 5n

6. 7n + 23

Step-by-step explanation:

1. "7 less than fifteen times a number" can be represented as 15n - 7, where n represents the unknown number. This expression means that you take the number, multiply it by 15, and then subtract 7 from the result.

2. "The difference of nine times a number and the quotient of 6 and the same number" can be represented as 9n - (6 / n), where n represents the unknown number. This expression means that you take the number, multiply it by 9, and then subtract the quotient of 6 divided by the same number.

3. "The sum of 100 and four times a number" can be represented as 4n + 100, where n represents the unknown number. This expression means that you take the number, multiply it by 4, and then add 100 to the result.

4. "The product of 3 and the sum of 11 and a number" can be represented as 3(11 + n), where n represents the unknown number. This expression means that you take the number, add 11 to it, and then multiply the sum by 3.

5. "Four times the square of a number increased by five times the same number" can be represented as 4n^2 + 5n, where n represents the unknown number. This expression means that you square the number, multiply the result by 4, and then add the product of the number and 5.

6. "23 more than the product of 7 and a number" can be represented as 7n + 23, where n represents the unknown number. This expression means that you take the number, multiply it by 7, and then add 23 to the result.

Which statement about vertical angles is false?A. They are formed by two intersecting lines
B. They share a common vertex
C. They share a common side
D. They are congruent

Answers

The answer is C..

They do not share a side at all.

Tom is making potato salad for family picnic At the market he spends $5.58 on red potatoes and $4.68 on yellow potatoes If each type of potato cost $0.90 per pound, how many total pounds of potatoes does he buy?

Answers

Answer:

11.4 lbs of potatoes total

Step-by-step explanation:

$5.58 red potatoes

$4.68 yellow potatoes

$0.90 per pound

5.58 / 0.90 = 6.2 lbs

4.68 / 0.90 = 5.2 lbs

5.2 + 6.2 = 11.4

Final answer:

To find the total pounds of potatoes, divide the cost of each type of potato by the cost per pound. Then, add the pounds of red potatoes and yellow potatoes together. The total pounds of potatoes is approximately 11.4 pounds.

Explanation:

To find the total pounds of potatoes, we need to add the pounds of red potatoes and yellow potatoes together. Since each type of potato costs $0.90 per pound, we can use the total cost of each type to find the pounds.

The cost of the red potatoes is $5.58, so the pounds of red potatoes can be found by dividing $5.58 by $0.90 per pound. The result is approximately 6.2 pounds.

The cost of the yellow potatoes is $4.68, so the pounds of yellow potatoes can be found by dividing $4.68 by $0.90 per pound. The result is approximately 5.2 pounds.

Finally, to find the total pounds of potatoes, we add the pounds of red potatoes and yellow potatoes together. The total is approximately 11.4 pounds.

Learn more about Finding total pounds of potatoes here:

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