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.

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

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?

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

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

Answer:

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

Step-by-step explanation:

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

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)

Answer:

68/35

Step-by-step explanation:

Answer:

1.94285714286 (Rounded to): 1.943

Answer:

one quarter is 0.25c

so q=0.25c

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.

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] ✅

Step-by-step explanation:

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

:)

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

Answer:

3+ x • {2x} + 5 = 858

Step-by-step explanation:

<33 hoped this helped !!!

Answer:

the greatest common factor is 4a

Answer:

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

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]

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.

Learn more,

https://brainly.com/question/11053144

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

Learn more:

https://brainly.com/question/18134643?referrer=searchResults

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.

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

[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^_^

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.

Answer:19

Step-by-step explanation:

because if it added it becomes that

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

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]

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

Answer: 50%

Step-by-step explanation:

hope this helps !

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)