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2 years ago

The drawing shows a concrete walkway around a pool. what is the total area of the concrete?

Mathematics

2 answers:

vodomira [7]2 years ago

8 0

Answer:

Hence, area of concrete is: 165 ft^2.

Hence, option: A is the correct answer.

Step-by-step explanation:

We have to find the total area of the concrete.

The area of concrete is given by:

Area of rectangle ( with dimensions 25 ft × 13 ft. )- Area of rectangle ( with dimensions 20 ft. × 8 ft. )

Hence,

Area of rectangle with dimensions 25 ft × 13 ft. is

25×13=325 ft^2.

Also area of rectangle with dimensions 20 ft. × 8 ft. is:

20×8=160 ft^2.

Hence, area of concrete is calculated as:

325 ft^2-160 ft^2=165 ft^2.

Hence, option: A is the correct answer.

Hence, area of concrete is: 165 ft^2.

Verizon [17]2 years ago

3 0

25 x 13 = 325

20x 8 = 160

325-160 = 165 square feet

answer is A

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Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used

atroni [7]

Answer:

The pecans used in the mixture = 8 kg

The almonds used in the mixture = 17 kg

Step-by-step explanation:

The cost of per kg of pecans = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture = 25 kg

Let us assume the weight of pecans in the mixture = m kg

So, the amount of almonds in the mixture = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

= 28.50 m

cost of (25- m) kg almonds = (25 -m) x ( cost of 1 kg almonds)

= (25 - m) x ( $ 22.25)

= 556.25 - 22.25 m

Total cost of 25 kg of mixture = 25 x ( $24.25) = $606.25

Now, Total Cost of (almonds + Pecans) = Total cost of mixture

⇒28.50 m + 556.25 - 22.25 m = $606.25

or,6.25 m = 50

or, m = 50/6.25 = 8

Hence, the pecans used in the mixture = m = 8 kg

And the almonds used in the mixture = (25 - m) = 25 - 8 = 17 kg

5 0

2 years ago

For the month of June, Mae Green budgeted the following amounts: $180 for food, $475 for rent, $15 for transportation, $50 for i

ycow [4]

Question 1

Total budget = 180 + 475 + 15 + 50 + 65 + 25 + 150 + 30 = $990
Real spending = 182 + 475 + 12 + 65 + 68 + 12.50 + 150 + 36 = $1000.5

Mae Green didn't stay within the allocated budget

---------------------------------------------------------------------------------------------------------

Question 2

Eleanor:
Income = 380.48
Spending = 16.50

Peter:
Income = 120 + 13.65 + 100 = 233.65

Total income = 233.65 + 380.48 - 16.50 = 597.63

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Question 3

Total spent = 540 + 48.55 + 34.15 + 12.80 + 18.95 + 38.60 + 2 + 6.50 = 701.55

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Question 4

Marie's new balance = 250.65 - [21.95+48.50+75.60] + 55 = $159.50

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Question 5

[235/825] × 100 = 28.48%

4 1

2 years ago

Read 2 more answers

How many pounds of water must be evaporated from 50 pounds of a 3% salt solution so that the the remaining solution will be 5 %

svlad2 [7]

Answer:

Step-by-step explanation:

This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!

We will make a table for this:

#lbs solution * % salt = lbs. salt

3% solution

- Water

New solution

And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:

#lbs solution * %salt = lbs salt

3% solution 50 * .03 = 1.5

- Water

New solution

The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:

#lbs solution * %salt = lbs. salt

3% solution 50 * .03 = 1.5

- Water x * 0 = 0

New solution

Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!

The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:

#lbs. solution * %salt = lbs. salt

3% solution 50 * .03 = 1.5

- Water x * 0 = 0

New solution 50 - x * .05 = 2.5 - .05x

Now we're ready for our equation. I got the 2.5 - .05x from multiplying

.05(50 - x), just so you know.

if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:

1.5 - 0 = 2.5 - .05x and solve for x:

-1 = -.05x so

x = 20 pounds of water

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2 years ago

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i

lidiya [134]

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

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