Aidan has been offered a job to paint the outside of a barn. If one gallon costs $35 and covers 550 square feet. How much will it cost to paint the barn with one coat?

Answers

Answer 1

Complete Question

The diagram of the barn is shown on the first uploaded image

Answer:

The cost is [tex]C = \$ 530[/tex]

Step-by-step explanation:

From the question we are told that

   The  cost of one gallon of paint is  [tex]c = \$35[/tex]

    The area the one gallon of paint covers is  [tex]A = 550 \ square\ feet[/tex]

   

Generally from the diagram  the region of the barn which can be painted is mathematically represented as

       [tex]A =80 * 35 + 38 * 35 + 2( \frac{1}{2} * 38 * 2 )[/tex]

=>    [tex]A = 8336 \ ft^2[/tex]

From the question

     1 gallon  covers  500 square feet

     x gallon will cover  8336  square feet

So

       [tex]x = \frac{8336}{550}[/tex]

=>    [tex]x =15 \ gallons[/tex]

Generally the cost of 15 gallons of paint is mathematically represented as

       [tex]C = c * x[/tex]

=>     [tex]C = 15 * 35[/tex]

=>     [tex]C = \$ 530[/tex]

Aidan Has Been Offered A Job To Paint The Outside Of A Barn. If One Gallon Costs $35 And Covers 550 Square

Related Questions

11/8 * 1/9 pls help​

Answers

Answer:

11/72

Step-by-step explanation:

[tex] \frac{11 \times 1}{8 \times 9} = \frac{11}{72} [/tex]

I WILL MARK BRAINLIEST!!!!!!!!!!!!!


Holly is taking a multiple choice reading test. She has decided to guess on questions 3 and 7. On each question, there are four
worded choices plus an all of these choice and a "none of these choice. What is the probability that she answers question 3
correctly and question 7 correctly?
А. 1/36
В. 1/16
C. 1/25
D. 1/2

Answers

Answer:

B

Step-by-step explanation:

there are 4 answers for each question, thats 8 all together. Two of the 4 are one vaild answers. Take 2/8 * 2/8 = 4/64 then you reduce that and get 1/16

Simplify the product 5/n+1 times n+1/n+3

Answer is 5/n+3 = simple

Answers

Answer:

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}=\frac{5}{n+3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}[/tex]

Let us simplify

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{5\left(n+1\right)}{\left(n+1\right)\left(n+3\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:n+1[/tex]

[tex]=\frac{5}{n+3}[/tex]

Therefore,

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}=\frac{5}{n+3}[/tex]

Answer:

C

Step-by-step explanation:

5n+1/n+3

A kite is flying 99 ft off the ground, and it's string is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Round your answer to the nearest tenth

Answers

Answer:

150.90 feet

Step-by-step explanation:

It is given that,

A kite is flying 99 ft off the ground

The angle of elevation is 41°.

We need to find the length of the string. Let it is H.

Here, 99 ft is the perpendicular of a right angled triangle. We need to find hypotenuse of the triangle. Using trigonometry we can find it as follows :

[tex]\sin\theta=\dfrac{P}{H}\\\\H=\dfrac{P}{\sin\theta}\\\\H=\dfrac{99}{\sin(41)}\\\\H=150.90\ \text{feet}[/tex]

So, the length of the string is 150.90 feet.

PLEASE HELP WHO KNOWS THIS?

Answers

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

Complete the equation. Answer as a fraction in its simplest form. 9xy x (2/3x)^3=(__/__)x^4y

Answers

Answer:

Fill the blank with [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Required

Fill in the gaps

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Open Brackets

[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]

[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]

Multiply xy and x^3

[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]

[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]

Divide fraction by 9/9

[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]

By comparison, the blank will be filled with:

[tex]\frac{8}{3}[/tex]

Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]

d+16 for d=-18
Your answer

Answers

-18 + 16 = -2
——————-

Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

Answers

Answer:

a : b = 4 : 3

Step-by-step explanation:

(mark as brainlist answer)

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.

Answers

Answer:

c = (y-0.13y)(1.08)

Step-by-step explanation:

c = cost and y = the original price

The amount of money off is 13% of y, or 0.13 of y. You would subtract that from y to get the price of the cards with the discount. For final cost, you need the cost of the cards (1) plus the cost of tax (8%, or 0.08). 1+0.08 is 1.08, so that's what you would multiply y by to get the final cost of the cards.

Hope this helped!

A plane can fly 360 mph in still air. If it can fly 210 miles downwind in the same amount of time it can fly 150 miles upwind, find the velocity of the wind. mph

Answers

Answer:

55 mph

Step-by-step explanation:

Assuming that

v = velocity of the plane in still air,

w = velocity of the wind.

We are given that v = 360 mi/hr.

Using the equation

x = vt

where

x is the distance an object travels

v is the speed of the object

t is the time taken

While the plane is flying downwind, the velocity becomes v + w. On the other hand, if it is flying upwind, the velocity becomes v - w.

For a particular time t = T, distance traveled x = 210 mi at downwind, and x = 150 mi at upwind.

Creating an equation from the two, we have

210 mi = (360 + w)T

150 mi = (360 - w)T

Solving for T, we have

T = 210/(360 + w)

T = 150/(360 - w)

And since T is the same in both cases, we say that

So, 210/(360 + w) = 150/(360 - w)

Or on rearranging,

(360 + w)/210 = (360 - w)/150

(360)(150) + 150w = (210)(360) - 210w

55800 + 150w = 75600 - 210w

360w = 19800

Therefore, the speed of the wind is 55 mile per hour

The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??​

Answers

Answer:

22 is 10 of 220

Step-by-step explanation:

hope it help

Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.

Answers

Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase

2. The reciprocal of 4 3/6 is
a. 6/27
b. 6/30
c. 4 6/3
d. 6 3/4​

Answers

Answer:

6/27

Step-by-step explanation:

[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]

Use the distributive property to remove the parentheses (x+12)8

Answers

Answer:

Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Step-by-step explanation:

We need to used distributive property to solve (x+12)8

The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]

Using the property:

[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]

So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Find the PERCENT of change.
20 dogs to 5 dogs

Answers

Answer:

75%

Step-by-step explanation:

20-5=15 - change in numbers

15/20×100%= 75%

Atlantic boat rental charges a $35.50 deposit fee plus $12.25 per hour to rent the boat. Pacific boat rental charges $25.99 plus $14.99 per hour to rent the boat. How many hours would you have to rent the boat for the cost of both rentals be the same? Select the equation that represents this situation. 35.50 - 12.25x = 25.99 - 14.99x 35.50 - 12.25x = 25.99 - 14.99x 35.50 + 12.25x = 25.99 + 14.99x 35.50 + 12.25x = 25.99 + 14.99x 35.50x + 12.25 = 25.99x + 14.99 35.50x + 12.25 = 25.99x + 14.99 12.25x - 35.50 = 14.99x - 25.99

Answers

Answer:

35.50 + 12.25x = 25.99 + 14.99x

Step-by-step explanation:

Given

Atlantic Boat

Deposit = $35.50

Hourly Rate = $12.25

Pacific Boat

Deposit = $25.99

Hourly Rate = $14.99

Required

Determine the equation that represents when both charges would be equal

Represent the number of hours with x

For both rental agencies, the hourly rate would be calculated using:

Deposit + Hourly Rate * x

So, for Atlantic Boat, the expression is:

35.50 + 12.25 * x

35.50 + 12.25x

For Pacific Boat, the expression is:

25.99 + 14.99 * x

25.99 + 14.99x

Next, is to equate both expressions.

This, when solved would get the number of hours when there charges would be the same.

35.50 + 12.25x = 25.99 + 14.99x

Solving further:

Collect like terms

35.50 - 25.99 = 14.99x - 12.25x

9.51 = 2.74x

Divide through by x

x = 9.51/2.74

x = 3.47 hours

5.Monty made a scale drawing of his room on grid paper, as shown below.

If each square on the grid paper represents a side length of 2 feet, what is the length, in feet,

of the longest wall in the room

Answers

Answer: 16 feet

Step-by-step explanation:

Looking at the drawing, the longest wall in the room is the horizontal length of the scale drawing.

Looking at the longest wall, the number of squares with a side length on the line of the wall are 8 in number.

If each square represents a side length of 2 feet, the length of the wall will be;

= 2 * 8

= 16 feet

What is the slope of the line that contains these points?

Answers

Answer:

-5/4

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (5-10)/(49-45)

6. Given WY with W(3, 7) and Y(13, -8), if X

partitions WY such that the ratio of WX to XY

is 3:2, find the coordinates of X.

Answers

Answer:

(5, 1)

Step-by-step explanation:

Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2

The midpoint formula is expressed as;

M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)

a = 3,

b = 2

x1 = 3

y1 = 7

x2 = 13

y2 = -2

To get the coordinate of X

x = ax1+bx2/a+b

x = 3(3)+2(123/3+2

x = 9+26/5

x = 35/5

x= 7

y= ay1+by2/a+b

y = 3(7)+2(-8)/2+3

y = 21-16/5

y = 5/5

y = 1

Hence the coordinate of X is (x, y) = (5, 1)

Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can she paint in a full hour

Answers

6/7 divide by 3/14
Divide = multiply reciprocal
6/7 * 14/3 = 84/21 = 4
She can paint 4 pictures in a full hour

PLZ HELP 60 POINTS... The students at Harrison Middle School are being split into groups for a community service project. The school faculty has decided that each grade (6th, 7th, and 8th) will be split up into their own set of groups. The faculty has also decided that it is important for each grade to be split evenly into groups, with no leftover students, so that each group in a grade has exactly the same number of boys and girls. For each of the following grades, determine the largest number of groups that can be made and the number of boys and girls that will be in each group.

The 6th grade has 64 girls and 72 boys.
The 7th grade has 81 girls and 63 boys.
The 8th grade has 68 girls and 60 boys.
The
grade groups have the largest number of students in each group.

Answers

Answer:

6th: 2 girl groups of 32 and 2 boy groups of 36

7th: 3 girl groups of 27 and 3 groups of 21

8th: 2 girl groups of 34 and 2 boy groups of 30

Sorry if it's wrong, had a little trouble understanding.

What is the perimeter of an equilateral triangle which has an area of 96\sqrt{3}96
3 ?

Answers

Answer:

Perimeter = 44.67

Step-by-step explanation:

Given m = -6/5 and the point (6,5), which of the following is the point-slope form of the equation?

Answers

Y = mx + b
Y = -6/5x + b
5 = -6/5(6) + b
5 = -7.2 + b
b = 12.2
Equation: y = -6/5 + 12.2

A ​-gallon ​[gal] quantity of molten​ (liquefied) plastic is going to be used to make a​ 1-foot [ft] by​ 8-inch [in] plastic block. If liters​ [L] of the plastic is lost in the manufacturing ​process, how thick is the final plastic​ block, in units of inches ​[in]​?

Answers

Answer:

x  = 1,77 in

Step-by-step explanation:

Total volume of molten plastic to make  a block is

1 [gal] - 1 L (lost in the process)  =  3,7854 - 1  =  2,7854

Now the volume of the block is:

1 foot  * 8 inches * x ( thick of the block )

1 foot is 0,3048 meter  and 1 inch is 0,0254 meter

Then  in m³  the volume of the block is

0,3048 * 8 * 0,0254 * x  =  0,06193536 * x  [ m³ ]

That volume should be equal to  2,7854 / 1000

Therefore

 0,06193536 * x  = 2,7854 / 1000        x in m³

x = 2,7854 /61,93536  m

x  =  0,044972  m      and    1 m  =  39,37 in

x  = 1,77 in

A physician assistant orders 500 mL of D5NS over 5 hours. How many milliliters per hour will the patient receive? (Round to the nearest whole number)

Answers

Answer:

100

Step-by-step explanation:

500ml÷5h=100ml/h

The assistant will receive 100 mL per hour.

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units. . For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol.

Given here, A physician assistant orders 500 mL of D5NS over 5 hours.

Therefore, he will receive 500/5 = 100 mL of D5N5 per hour

Hence, the asistant wil recieve 100 mL per hour

                                       

Learn more about the unitary method here:

https://brainly.com/question/22056199

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Am I correct because I’m confused

Answers

Answer:

you could be correct but I think it's B

Which shows the following expression after the negative exponents have been eliminated?

StartFraction a cubed b Superscript negative 2 Baseline Over a b Superscript negative 4 Baseline EndFraction, a not-equals 0, b not-equals 0
StartFraction a cubed b Superscript negative 4 Baseline Over a b Superscript negative 2 Baseline EndFraction
StartFraction a b Superscript 4 Baseline Over a cubed b squared EndFraction
Negative StartFraction a cubed b Superscript 4 Baseline Over a b squared EndFraction
StartFraction a cubed b Superscript 4 Baseline a b squared EndFraction

Answers

The answer is C I think iam not sure about it

The expression [tex]\rm \frac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \frac{a^3b^4}{ab^{2}}[/tex]. Then the correct option is D.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}[/tex]

And a ≠ 0 and b ≠ 0.

The negative exponents have been eliminated.

We know that 1/a⁻ⁿ = aⁿ.

Simplify the expression, then the expression will be

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}[/tex]

The expression [tex]\rm \dfrac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \dfrac{a^3b^4}{ab^{2}}[/tex].

Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Please help asap and i will give brainliest to whoever is correct

Answers

Answer:

first box 1.5, second box -1.5 don't forget the negative for the second box

Step-by-step explanation:

Answer:

Box one: 1.5.

Box two: Negative -1.5

Cheese pizza cost 6$ each and four topping pizza that cost $10 each. If you order c cheese pizzas and f four toppings how much would you pay

Answers

Answer:

[tex]Total = \$6c + \$10f[/tex]

Step-by-step explanation:

Given

[tex]Cheese\ Pizza = \$6[/tex]

[tex]Topping\ Pizza = \$10[/tex]

Required

Cost of c cheese and f topping pizza

Solving for c cheese pizza

If 1 cheese pizza costs $6,

c cheese pizza would cost $6 * c

Solving for f topping pizza

If 1 topping pizza costs $10,

f topping pizza would cost $10 * f

Hence:

[tex]Total = \$6 * c + \$10 * f[/tex]

[tex]Total = \$6c + \$10f[/tex]

Hence, the total amount paid is: [tex]\$6c + \$10f[/tex]

12. The height of a window is 1 3/4 times its width. The window is 48 cm wide. How tall is the window?

Answers

Answer:

84cm

Step-by-step explanation:

h height

w widith

48cm × 1 3/4 = h h = 84cm

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