The wood on the back deck of a house needs waterproofing. The shape of the deck
is a rectangle with the length of 40 feet and a width of 3 yards. A gallon can of
waterproof stain covers 50 square feet and costs $19.99 per can plus 8% sales tax.
You go to the hardware store to purchase the waterproof stain needed to complete
the job. You give the cashier $150. How much change do you receive, or how much
additional cash must you find in order to be able to pay for all of the stain you need?
You must show all calculations.
Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.

Answers

Answer 1

Dimensions of a rectangular deck = [tex]40[/tex] feet by [tex]3[/tex] yards

Width of the deck is in yards, so convert it into feet.

Since, [tex]\frac{1}{3}[/tex] yards = 1 foot

Therefore, 1 yard = [tex]3[/tex] feet

And [tex]3[/tex] yards = [tex]3\times 3[/tex] feet

                    = [tex]9[/tex] feet

Therefore, dimensions of the rectangular deck = [tex]40[/tex] feet by [tex]9[/tex] feet

Area of the deck = Length × Width

                            = [tex]40\times 9[/tex]

                            = [tex]360[/tex] square feet

∵ [tex]50[/tex] square feet of deck is stained by number of cans = 1

∴ 1 square feet will be stained by number of cans = [tex]\frac{1}{50}[/tex]

∴ [tex]360[/tex] square feet will be stained by cans = [tex]\frac{360}{50}[/tex] = [tex]7.2[/tex]

We can not purchase can in fractions or parts.

Therefore, number of cans to be purchased = [tex]8[/tex]

Cost of waterproof stain per can = $[tex]19.99[/tex] plus [tex]8[/tex]% sales tax

Therefore, actual cost of 1 can to be paid for the waterproof stain

= [tex](19.99 + 19.99\times \frac{8}{100})[/tex]

= [tex]19.99+1.5992[/tex]

= $[tex]21.5892[/tex]

Cost of [tex]8[/tex] cans = [tex]21.5892\times 8[/tex]

                         = $[tex]172.71[/tex]

I have paid $[tex]150[/tex] to the cashier.

Therefore, additional money to be paid = [tex]172.71-150[/tex]

                                                                  = $[tex]22.71[/tex]

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Related Questions

The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form

Answers

The length of the third side is 4 7step-by-step the explanation- the perimeter of a triangle is 16 to the square root of 7 feet.

Answer:19

Step-by-step explanation:

because if it added it becomes that

rationalise 2 divided by 2 square root 3​

Answers

Answer:

[tex]\displaystyle \frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]

I am joyous to assist you at any time.

I need help pleeeaaasss

Answers

the other answer is wrong, to do division you have to flip one of the fractions form the multiplication side, so the answer is 2/7

Mrs. Jim earned $40.00 for selling tacos, and she spent $9.75 for supplies. The next day, she earned $35.00 in taco sales and she spent $12.50 for supplies. How much did Mrs. Jim earn and how much did she spend?

a
She earned $15 and she spent $2.75
b
She earned $22.25 and she spent $75
c
She earned $75 and she spent $22.25
d
She earned $75 and spent $23.75

Answers

The answer is C. She earned $75 and spent $22.25

We can take our totals that were earned before she started spending and combine them. On concurrent days she received a total of $75. She got $40 one day and $35 the next. In between those days she spent, $9.75 and $12.50. She spent a total of $22.25. Once again making the answer option C

Could someone do 14,15,and 16 for me? It would really help me out. Thank you!

Answers

Answer:

Step-by-step explanation:

13) LCM of 20 , 5 is 20

Find equivalent fraction for 2/5 with denominator 20

[tex]\dfrac{2}{5}=\dfrac{2*4}{5*4}=\dfrac{8}{20}[/tex]

Now compare

[tex]\dfrac{7}{20} \ < \dfrac{8}{20}\\\\\dfrac{7}{20} \ < \dfrac{2}{5}[/tex]

14) Convert fraction to decimal

[tex]\dfrac{1}{8}= 0.125[/tex]

0.15  > 0.125

[tex]0.15 \ > \dfrac{1}{8}[/tex]

15) 0.5 , -1/7  , -0.2  ; 1/3

[tex]\dfrac{-1}{7}=-0.14\\\\\dfrac{1}{3}=0.3\\[/tex]

0.5, - 0.14 , -0.2  ; 0.3

Least to greatest:

-0.2 ;  - 0.14   ; 0.3  ; 0.5

Answer:

-0.2  ; [tex]\dfrac{-1}{7} \ ; \dfrac{1}{3} \ ; \ 0.5[/tex]

yancy made a 1:14 scale model airplane. the model airplane's tail is 5.7 inches long what is the length of the actual airplane tail its modeled after? round to two decimals

Answers

Scale factor used by Nancy for the model of an airplane = 1 : 14

Length of the tail of the airplane = 5.7 inches

Scale factor is defined by the expression,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

By substituting the dimension of the model in the expression,

[tex]\frac{1}{14}=\frac{5.7}{\text{Dimension of the original}}[/tex]

Dimension of the original plane = 14 × 5.7

                                                     = 79.80 inches

Therefore, length of the tail of the actual airplane will be 79.80 inches.

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Length of Actual airplane's tail is 79.8 inches or 6.65 ft

Given:

Scale model sample = 1 : 14

Length of model airplane's tail = 5.7 inches

Find:

Length of Actual airplane's tail

Computation:

Length of Actual airplane's tail = Length of model airplane's tail × Scale model sample

Length of Actual airplane's tail = 5.7 × 14

Length of Actual airplane's tail = 79.8 inches

Length of Actual airplane's tail = 79.8 inches or 6.65 ft

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help me please urgent

Answers

Answer:

3+ x • {2x} + 5 = 858

Step-by-step explanation:

<33 hoped this helped !!!

Please help I will give brainliest!

Answers

Answer: 50%

Step-by-step explanation:

hope this helps !

The Value in cents of q quarters

Answers

Answer:

one quarter is 0.25c

so q=0.25c

a rectangular garden is fenced on all sides with 72 feet of spacing. The garden is 4 feet longer than it is wide. find the length and width of the garden

Answers

Answer:

the length is 20 feet and the width is 16 feet long

Step-by-step explanation:

Which of the following means the same as 2(3x – 4) ?

5x – 8

5x – 4

6x – 8

6x – 4

none of these

Answers

Answer:

6x - 8

Step-by-step explanation:

2(3x – 4)

Distribute

2*3x - 2*4

6x - 8

Answer:

answer C

6x minus 8

use distributive property

He earns 300 reward points for every 100 dollars he spends. If he earned 1,800 reward points, how much money did he spend

Answers

Answer:

$600

Step-by-step explanation:

1800/300 = 6, so he got 6 'lots' of reward points

6 * 100 = $600

Answer:

He spent $600

Step-by-step explanation:

What you do is 1800/300= 6, so 100 × 6 = $600

x² + 4x from 5x² + x

Answers

That is,

(5x sq + x) - (x sq + 4x)

5x sq + x - (x sq + 4x)

5x sq - x sq + x - 4x

4x sq - 3x

find the slope of the line that passes through each pair of points J(-4 8) and K(-4, 4)​

Answers

We will fight together no matter what I will always love you remind her be kind to othersI love you guys so much kisses and hugs

Please help fast. I will give brainliest. Show work pls.

Answers

Answer:

[tex] \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{ \frac{243 {a}^{11} }{9 {b}^{9} } } = \sqrt[3]{ \frac{27 {a}^{11} }{ {b}^{9} } } [/tex]

➡️ [tex] \sqrt[3]{ \frac{27 {a}^{11} }{ \sqrt[3]{ {b}^{9} } } } = \sqrt[3]{ \frac{ {3}^{3} • {a}^{9} • {a}^{2} }{ \sqrt[3]{ {b}^{9} } } } [/tex]

➡️ [tex] \frac{ \sqrt[3]{ {3}^{3 }} • \sqrt[3]{ {a}^{9} } • \sqrt[3]{ {a}^{2} } }{ \sqrt[3]{ {b}^{9} } } [/tex]

➡️ [tex] = \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex] ✅

Please help me I need help for this

Answers

Answer:

the greatest common factor is 4a

4a is the greatest common factor

help 100 points AND please DONT REPLY IF YOU DO NOT KNOW THE ANSWER
Thankyou!

Answers

Answer:

[tex]than k\: you[/tex]

1 7/10 divided by 7/8

Answers

Answer:

68/35

Step-by-step explanation:

Answer:

1.94285714286 (Rounded to): 1.943

Please answer this and simplify
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1

Answers

Answer:

Step-by-step explanation:

(1/2)(x+3)(2x+4)

= x^2 + 5x + 6

a=1

b=2

c=5

d=1

e=6

An alloy is made of copper and iron by weight. 42% of it is copper and the rest is iron. If the alloy weights 55 kg, find the weight of copper and iron

Answers

Answer:

percent of iron in alloy= 100-42 = 58%

weight of the iron = 55×58÷100= 31.9

weight of iron= 31.9 kg

weight of copper= 55-31.9=23.1

weight of copper = 23.1

Step-by-step explanation:

[ I'm not sure but I think this is right ]

Answer: copper = 23.1 kg

             iron = 31.9 kg

Step-by-step explanation:

copper = 42% of 55

             = 42/100 * 55

            = 42/20 * 11

           = 21/10 * 11

          = 231/10

          = 23.1 kg

  so iron = 100% - 42%

             = 58%

so

58% of 55

= 58/100 * 55

= 58/20 * 11

=31.9 kg

What is the product of 3x+4 and 6x^{2} −5x+7?

Answers

[tex](3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28[/tex]

I hope I helped you^_^

How can i solve this?

Answers

Answer:

Perimeter is (8x + 4) units.

Step-by-step explanation:

[tex]{ \sf{perimeter = side + side + side}} \\ { \sf{p = (2x + 1) + (7x - 2) + (5 - x)}} \\ { \sf{p = (2x + 7x - x) + (1 - 2 + 5)}} \\ { \sf{p = 8x + 4}}[/tex]






plz help me to solve this question....​

Answers

Answer:

1

or,x+60°=180°(Being the sum of supplementry angle is equal to 180°)

or,x=180°-60°

:x=120°

2

or,y=120°(Being corresponding angle)

George gets paid £2,100 per month. Assuming he worked every month of the last year, how much would he earn in one year?​

Answers

Answer:

In one month he earn €2,100

He worked whole year

1 year = 12 months

So,

George earning is 12 months = 12 × Earning of one month

=> 2100 × 12

=> 25200

Can someone explain how to do integers since I have a test today? Also can someone please help me with the sheet too so I could understand? :)

Answers

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?​

Answers

Answer:

450

Step-by-step explanation:

The total is 100 %

20% + 35% +15% = 70%

100-70 = 30

He saves 30%

1500 * 30%

1500 *.30

450

G I V E N :

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

S O L U T I O N :

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

Remaining amount left with him is $450

help me pls i don't understand the problem so can u give me the answers and also explain

Answers

Step-by-step explanation:

1)

[tex]\frac{2}{3} +\frac{4}{5} =\frac{10+12}{15}=\frac{22}{15} .[/tex]

2) the same value of the denominator of the fractions.

3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.

Megan's answer is correct.

4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).

5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.

6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.

7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.

A regular hexagon has sides of 8 + 5m. Find the perimeter and write the expression in simplified form.

Answers

Answer:

48 + 30m

Step-by-step explanation:

The perimeter of a hexagon is 6 times its side length.

6(8 + 5m)

= 48 + 30m (Distributive property)

Please can someone hell me with this!!!!!
Plzz any 1!!​

Answers

Step-by-step explanation:

I hope this makes sense...and is visible..

:)

f(x)=x^2-6x
g(x)= √x
Evaluate f(g(25)) = ???

Answers

Answer:

f(g(25)) = -5

Step-by-step explanation:

You have to put 25 in place of x in g, and after, you take the result and put in place of x in f:

g(5) = √25 = 5

f(5) = 5^2 -6•5

f(5) = 25 -30

f(5) = -5

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