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RSB [31]
2 years ago
5

Esessment

Mathematics
1 answer:
Klio2033 [76]2 years ago
3 0

The area of the given composite figure is 34 square feet

<h3>Area of rectangle</h3>

Area of the rectangle = length * width

<h3>Get the area of the given composite figure</h3>

For the composite figure shown:

Area = (8*3) + (2 * 5)

Area = 24 + 10

Area = 34 square feet

Hence the area of the given composite figure is 34 square feet

Learn more on area of rectangle here: brainly.com/question/25292087

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The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $800 per month.
Ede4ka [16]
800 * 100 = 80000
810 * 99 = 80190
900 * 90 = 81000
1000 * 80 = 80000
(800 + 10n) (100-1n)
=(800 +10(11)) (100 - 11)<span> (910)(89) = 80990</span>
6 0
3 years ago
At a store, markers are sold in packages of 12 and pens are sold in packages of 8. What is the least amount of markers and pens
liubo4ka [24]

Given:

Markers are sold in packages of 12 and pens are sold in packages of 8.

To find:

Least amount of markers and pens Rick needs to buy to have an equal number of markers and pens

Solution:

To find the least amount of markers and pens, we need to find the LCM of 12 and 8.

Prime factors of 8 and 12 are

8=2\times 2\times 2

12=2\times 2\times 3

To find the LCM, multiply all factors but the common factors are included only once.

LCM(8,12)=2\times 2\times 2\times 3

LCM(8,12)=24

Therefore, the least amount of markers and pens Rick needs to buy to have an equal number of markers and pens is 24.

5 0
4 years ago
Marco wants to build house. United Building Company is offering the rate of $15.75 per square foot + an additional conference fe
marishachu [46]
Let us take the case of United Building Company First
Rate per square foot = $15.75
Conference fee taken per hour = $45.99
Total conferencing hours = 4 hours and 15 minutes
                                         = 4.15 hours
Total square feet of the house = 12226 square feet
Then
The total cost taken by the company = (15.75 * 12226) + ( 45.99 * 4.15) dollars
                                                            = 192559.5 + 190.86 dollars
                                                            = 192750.36 dollars
So the total amount taken by United Building Company is $192750.36 dollars
Now let us take the case of American Contracting Company
Rate per square foot taken = $12.46
Flat conferencing fee taken = $230
Then
The total cost taken by the company = (12.46 * 12226) + 230
                                                           = 152335.96 + 230 dollars
                                                           = 152565.96 dollars
So the total cost taken by the American Contracting Company is $152565.96.
8 0
3 years ago
The average lifetime of a certain new cell phone is 6 years. The manufacturer will replace any cell phone failing within 2 years
yarga [219]

Answer:

1/6

Step-by-step explanation:

Let X = amount of time (in minutes) a postal clerk spends with his or her customer. The time is known to have an exponential distribution with the average amount of time

X is a continuous random variable since time is measured. It is given that μ = 6 years. To do any calculations, you must know m, the decay parameter.

m = 1/μ = 1/6

So the decay rate is 1/6

3 0
3 years ago
Suppose it snowed 5 inches in 2 days. Then 5/2 describes the average daily snowfall. Write the improper fraction as a mixed numb
cricket20 [7]

Answer:

5/2 = 2 1/2

Step-by-step explanation:

There are 2 parts in one half, meaning 2 halves equals 1.

If you have 5 halves, you of course would get an improper fraction.

To find the answer, dive the numerator by the denominator. 5 ÷ 2 gives you 2.5, or 2 1/2.

Think about it this way: How many times does will 2 go in to 5 evenly? Twice. 2 times 2 is 4, leaving you with one left over. Whatever the remainder is, is the numerator for the improper fraction, and the denominator stays the same.

6 0
3 years ago
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