Calculate. 7.75% of $9,000 =

Answers

Answer 1
Answer:

Answer:

7.75\%\text{ of }\$9,000=\$697.50

Step-by-step explanation:

We are asked to calculate 7.75% of $9,000.

To calculate 7.75% of $9,000, we will divide 7.75 by 100 and then multiply by $9,000 as:

7.75\%\text{ of }\$9,000=(7.75)/(100)*\$9,000

7.75\%\text{ of }\$9,000=7.75*\$90

7.75\%\text{ of }\$9,000=\$697.50

Therefore, 7.75% of $9,000 equals $697.50.

Answer 2
Answer: 697.5

Hope this helps!

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A business center is about 3 3/4 times as tall as a monument. The monument is 444 feet tall. About how tall is the business center?

Solve equation: –6 + 3x = –9

Answers

3x=-9+6
3x=-3
x=-3/3
x=-1
-6 + 3x = -9
-6             -6
-----------------
3x = -15
---     ---
3        3

x = -5

Joel earns $1,700 per month. If he spends $425 on rent each month, what percent of his income does he spend on rent? A. 331/3%   B. 25%   C. 20%   D. 40%

Answers

(425)/(1700) = 0.25

0.25 × 100 = 25%

Answer is B. 25%
425/1700 x 100 = 25% 
so the answer is 25%

The surfaces of bones at joints are covered with a smooth layer of cartilage.True
False

Answers

it's false, cartilage doesn't cover bones. it's usually found around joints and between bones

One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?

Answers

Answer:

29

Step-by-step explanation:

Let the smaller integer be x.

The other integer is 1 greater than 3 times x, or 3x + 1.

The product is 154.

x(3x + 1) = 154

3x^2 + x - 154 = 0

157 = 2 * 7 * 11

14 * 11 = 154

22 * 7 = 154

(3x + 22)(x - 7) = 0

3x + 22 = 0 or x - 7 = 0

3x = -22 or x = 7

x = -22/3 or x = 7

-22/3 is not a positive integer, so we discard that solution.

The smaller integer is 7.

3x + 1 = 3(7) + 1 = 22

The greater integer is 22.

The sum of the integers is 7 + 22 = 29

Answer: 29

Step-by-step explanation:

The farmer's market has a total of 98 tents.  the ratio of food tents to retail tents is 9:5.

a. Write a system of linear equations that represent this situation.

b.  How many food tents are at the market?

c. How many retail tents are at the market?

Answers

Answer:

Let x represents the food tents and y represents the retail rents.

As per the given statement: The farmer's market has a total of 98 tents.

x + y = 98                    ......[1]

Also, it is given that the ratio of food tents to retails tents is 9 : 5.

(x)/(y) = (9)/(5)

By cross multiply, we have;

5x = 9y

Divide both sides by 5 we get;

x = (9)/(5)y

Substitute this value x in equation [1] to solve for y;

(9)/(5)y + y = 98

Combine like terms;

(14)/(5)y = 98

Multiply both sides by (5)/(14) we get;

y =98 * (5)/(14) = 7 * 5 = 35

Substitute the value of y= 35 in x = (9)/(5)y to solve for x;

x = (9)/(5) * 35 = 9 * 7 = 63

(a)

System of linear equation that represents situation is:

x + y = 98

x = (9)/(5)y

(b)

As x represents the food tents.

Therefore, 63 food tents are at the market.

(c)

y= 35 retail tents are at the market.

F+r=98
5f=9r
F is food tents, r is retail tents.
Plug in f=9/5r to the top to get 14/5r=98. Then 2/5r=14. So r=35 and f=9/5*35=63.

a machine worked for 5 hours and used 4 kilowatts of electricity. the machine used____of a kilowatt each hour it worked

Answers


The question is meaningless.  It uses "kilowatt" completely incorrectly.

"Watt" and "kilowatt" are rates at which energy is used, NOT
amounts of energy.

The question is a lot like saying that a car traveled for 5 hours at
4 miles per hour, so how many miles per hour did it travel each
hour it drove ?

======================================

If a machine used energy at the rate of 4 kilowatts when it's
running, then it uses 4 kilowatt-hours of energy during every
hour that it runs.
 
If it runs for 5 hours, then it uses

             (4 kilowatts x 5 hours) = 20 kilowatt-hours

of energy during that time.