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lina2011 [118]
3 years ago
12

A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that s

ells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

9514 1404 393

Answer:

  $6,797.09

Step-by-step explanation:

The area of the floor is ...

  (21 ft)(28 ft) = 588 ft²

Then the cost of the carpet material is ...

  (588 ft²)($10.45/ft²) = $6,144.60

The subtotal with installation fee is ...

  $6,144.60 +149.00 = $6,293.60

Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...

  1.08 × $6,293.60 = $6,797.09 . . . total price

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X = 10 - y and y = x - 8
garik1379 [7]

Answer:

x = 9 and y = 1

Step-by-step explanation:

Here,

x = 10 - y and y = x - 8 is given

then, name the equation

x = 10 - y ...(1)

y = x - 8 ...(2)

Now, put the value of x in equation (2) we get

y = x - 8

y = (10 - y) - 8

y = 10 - y - 8

y + y = 10 - 8

2y = 2

y = 2÷2

y = 1

Here, we get the value of y = 1

Now, we put the value of y in equation (1) we get

x = 10 - y

x = 10 - (1)

x = 10 - 1

x = 9

<h3><em><u>VERIFICATION</u></em><em><u>:</u></em></h3>

x = 10 - y

9 = 10 - 1

9 = 9

Hence, LHS = RHS

-TheUnknownScientist

7 0
2 years ago
how much would $100 invested at 8% interest compounded annually be worth after 15 years? Round your answer to the nearest cent.
svet-max [94.6K]
To calculate problems abound about compounding interest use the equation <span>A = P (1 + r/n)^<span>(nt), where A is the future price, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year and t for the total years. To solve, A = 100 (1 + 0.08/1)^(1 x 15) = 317.22.</span></span>
5 0
3 years ago
Read 2 more answers
How do I solve this problem?
Gre4nikov [31]
(6b + 42)(b - 3)
To check the answer, use the method FOIL.

3 0
3 years ago
The chart gives three different international calling plans. Jamie has budgeted $20 per month for international calls. Round ans
oksano4ka [1.4K]
A. 200.625 minutes   B. 184.166 minutes  C. 200 minutes  (round these answers like the question asked) 4. Plan A is the best because you get the most minutes for your money. I will explain my work for A, but if you need to explain the rest just ask. So, if you have to pay $3.95 every month no matter what and $0.08 for every minute you talk you can write the equation as, Cost = 3.95 + 0.08m (m stands for minutes), and the cost is 20$ then the equation is 20 = 3.95 + 0.08m, subtract 3.95 from the right side to make it 16.05 = 0.08m, then divide everything by 0.08 to get m, which gives you m= 200.625 
4 0
3 years ago
4. A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The
notsponge [240]

Answer:

2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water

4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water

Step-by-step explanation:

1 batch

Yellow water = 3 teaspoons

Red water = 1 teaspoons

Yellow water : Red water = 3 : 1

2 batches of orange water

Multiply the ratios by 2

Yellow water : Red water

= (3 : 1) * 2

= 6 : 2

2 batches of orange water = 6 tablespoon of yellow water and 2 tablespoon of red water

4 batches of orange water

Multiply the ratios by 4

Yellow water : Red water

= (3 : 1) * 4

= 12 : 4

4 batches of orange water = 12 tablespoon of yellow water and 4 tablespoon of red water

4 0
3 years ago
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