Damari needs to paint the circular concrete mural at the park. The mural has a diameter of 45 feet. A gallon of paint covers approximately 300 square feet. Each gallon is $18.99. How much will Damari spend in order to paint the mural? Use 3.14 to approximate π .

Answers

Answer 1

Answer:

$100.647

Step-by-step explanation:

Diameter = 45ft

Radius = diameter / 2 = 45 / 2 = 22.5ft.

1 gallon of paint covers 300ft²

1 gallon cost $18.99

The total area of the mural = πr² (since it's circular and area of a circle = πr²)

Area = πr²

Area = 3.14 * (22.5)²

Area = 1589.625ft²

The total area of the mural = 1589.625ft²

1 gallon of paint covers 300ft²

X gallons of paint will cover 1589.625ft²

Making x the subject by cross multiplying

X = (1 * 1589.625) / 300

X = 5.29875 gallons.

5.3 gallons will be required to paint 1589.625ft²

But 1 gallon costs = $18.99

5.3 gallons will cost $ y

y = (5.3 * 18.99) / 1

y = $100.647

Damari will spend $100.647 to paint the mural.


Related Questions

The bacteria took 1 hour and 40 minutes to fill the initial
bottle. Explain how it only took 10 minutes to fill 3
additional empty bottles.

Answers

Answer: if i can be brainliest that would be great

Bacteria growth occurs exponentially; bacteria divides into 2 every t minutes (similar to the penny doubling every day story). If one gets filled, and the contents divides once, there will be enough for 2 bottles; when these two are ready to divide, there will be enough for 4. This growth process begins very slowly - 1, 2, 4, 8, 16, 32; but it soon speeds up greatly, 64, 128, 256, 512, 1024, 2048.

Answer:

The bacteria took more time to double from 1 cell to a bottle full of cells. Once the bottle was full, each cell in the full bottle doubled, causing an additional bottle to be filled in 5 minutes. Then the 2 full bottles doubled in the next 5 minutes, causing all 3 bottles to be full.

Step-by-step explanation:

2x - 3y - z = -17 6x + 5y + z = -3 2x + 2y + 2z = 8

Answers

Answer:

2x - 3y = Z

Step-by-step explanation:

5y + 2z = 2 + 12

Connor is five years older than Charlie. If the product of their ages is 14, find Connors age and Charlie’s age

Answers

2.8 because 14 times 2.8 is 5

which number does not belong? 36, 99, 9, 123

Answers

9 it’s the only one single digit number and each number has a 2 digit number or higher

The number 123 because it is the only number that is not divisible by 9.

What are digits?

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

A digit is a part of a set that, when combined, makes up a numeration system.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Given the digits,

36, 99, 9, 123

If we divide by 9 then

36/9 ⇒ remainder 0

99-9⇒ remainder 0

9 ⇒ remainder 0

But

123/9 ⇒ remainder 6

Hence "The number 123 because it is the only number that is not divisible by 9".

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Find the area of the isosceles triangle.
13 cm side
10 cm base

Answers

The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

An isosceles triangle is a triangle in which two sides are the same.

The given isosceles triangle has been drawn below,

The area of a triangle is given as (1/2) × base × height.

Height = √(13²  - 5²) = 12

Area = (1/2) × 10 × 12 = 60 square cm.

Hence "The area of the given isosceles triangle with 13 cm and 10 cm base will be 60 square cm".

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To find the area of an isosceles triangle with given side lengths, use the Pythagorean theorem to find the height. Then, apply the formula for the area of a triangle using the base and the calculated height. The area of the given isosceles triangle is 60 square centimeters.

To find the area of an isosceles triangle with a base of 10 cm and two equal sides of 13 cm, we first need to determine the height of the triangle. We can use the Pythagorean theorem to find the height (h).

Since the base splits the isosceles triangle into two right triangles, each having a base of 5 cm (half of 10 cm) and a hypotenuse of 13 cm:

Using the Pythagorean theorem:

→ Hypotenuse (hyp) = 13 cm

→ Base/2 (base) = 5 cm

→ Height (h) = ?

→ hyp² = base² + h²

→ 13² = 5² + h²

→ 169 = 25 + h²

→ h² = 169 - 25

→ h² = 144

→ h = √144

→ h = 12 cm

Now that we know the height, we can use the formula for the area of a triangle:

→ Area = 1/2 × base × height

→ Area = 1/2 × 10 cm × 12 cm

→ Area = 5 × 12

→ Area = 60 square centimeters

A John is mixing paint for an art project. He combines 4 quarts of white paint with
31 gallons of blue paint. He uses 2 quarts. How much paint does he have left?
Circle the letter for all that apply. (1 gallon = 4 quarts)
A 16 quarts
B 52 gallons
C 52 quarts
D 2; gallons
E 4 gallons

Answers

Answer:

2 gallons

Step-by-step explanation:

2 gallons of paint

Explanation:

If 3/4 of a gallon covers 2/5 of a wall, this means that a half of 3/4 gallons can cover 1/5 of a wall.

By knowing this, you can just make up your own expression

(the trick is to find a way to break it down to one, so you can multiply and manipulate it to save yourself some brain cells)

15

+

15

+

15

+

15

+

15

= whole wall

if

342

=

38

= amount of paint to cover 1/5 wall

then

(38)⋅5

=

38

+

38

+

38

+

38

+

38

=

158

1.875

since we're talking about real life it would be 2 gallons of paint instead of 1.875 gallons to paint the whole wall

Hope this helps!

admission to the fair is $5.25 for adults and $3.75 for children. A group spends $29.25 for admission. How many of each kind of ticket did they buy?

Answers

Answer:

Two adults and five children

Step-by-step explanation:

(3.75×5)+(5.25×2) = 29.25

  18.75  +   10.5     = 29.25

(:

You spin the spinner for candy land. There are 4 colors on the spinner that have equal likelihoods of occurring. These colors are red, blue, green, and yellow. What's the chance of spinning green? Record your answer as a simplified fraction using "/" as your fraction key.

Answers

Answer:

1/4

Step-by-step explanation:

If you have four colors on the spinner and you want to land on the green spot and there is 1/4 chances

Which is the equation for the circle with center (6, 2) and radius 8?

Answers

Answer:

[tex]\displaystyle \boxed{ (x - 6)^2 + (y - 2)^2 = 64 }[/tex]

General Formulas and Concepts:
Precalculus

Circle Equation:
[tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2[/tex]

(h, k) is center of circler is radius

Step-by-step explanation:

Step 1: Define

Identify given.

Center (6, 2)

h = 6k = 2

r = 8

Step 2: Find Equation

[Circle Equation] Substitute in variables:
[tex]\displaystyle (x - 6)^2 + (y - 2)^2 = 8^2[/tex]Simplify:
[tex]\displaystyle (x - 6)^2 + (y - 2)^2 = 64[/tex]

∴ we have found the equation for the circle with given properties.

---

Topic: Precalculus

Unit: Conics

The equation of a circle is  [tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex].

What is circle?

A circle is a shape made up of all points in a plane that are at the same distance from a central point.

Equation of the circle [tex]\[{{\left( x-h \right)}^{2}}+{{\left( y-k \right)}^{2}}={{r}^{2}}\][/tex] where (h,k) is the coordination of the center and r is the radius

Which is the equation for the circle with center (6, 2) and radius 8?

put the values of h, k and r in the equation of the circle

[tex]{{\left( x-6 \right)}^{2}}+{{\left( y-2 \right)}^{2}}={{8}^{2}}[/tex]

[tex]{{x}^{2}}+{{y}^{2}}+36+4-12x-4y=64[/tex]

[tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex]

therefore, the equation of the circle is[tex]{{x}^{2}}+{{y}^{2}}-12x-4y-24=0[/tex].

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For the first 3% of Brenda's salary, her employer matches 100% of her 401(k)
contributions, and from 3% to 12%, Brenda's employer matches 50% of her
401(k) contributions. Brenda's salary is $50,000, and last year, she
contributed $6000 to her 401(k) plan. What was her employer's contribution
to the 401(k)?
A. $3000
O
O
O
B. $4500
C. $3750
O
D. $6000

Answers

Answer:$3750

Step-by-step explanation:

Answer:

3650

Step-by-step explanation:

apex

Factor the following polynomial: 11x^2 + 22x

Answers

11x(x+2) should be the answer

1. Carlos has $1,800 in a checking account set aside for summer expenses.
He withdraws $150 per week to pay for expenses. Nicole has $1,100 in a
checking account set up for money for an end of summer vacation.
Through the summer she deposits $200 per week. After how many weeks
will both accounts have the same amount of money? *
•2 weeks
•3 weeks
•4 weeks
•5 weeks

Answers

Answer:2 weeks

Step-by-step explanation: if you subtract 1800 by 150 for the two weeks you will get 1500 and if you add 1100 by 200 every week you will get a hundred and fifty

Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars.

0.8d

d – 0.2

d – 0.2d

1 – 0.2d

Answers

Final answer:

The correct expression that represents a 20% discount off the original price d is 0.8d or d – 0.2d. The other options do not correctly represent a percentage discount from the original price.

Explanation:

The expression that represents a 20% discount off the price of an item that originally cost d dollars would be calculated by first determining what 20% of the original price is, and then subtracting that value from the original price. So if the original price is d, then 20% of d is 0.2d. Subtracting that from d would give us the discounted price. Therefore, the correct expression that represents a 20% discount would be d – 0.2d, which simplifies to 0.8d.

d – 0.2 is not a percentage of d, but rather a fixed amount subtracted from d, and 1 – 0.2d is not meaningful in the context of pricing and discounts. So the expressions that represent a 20% discount off the price are:

Yes: 0.8dNo: d – 0.2Yes: d – 0.2dNo: 1 – 0.2d

The correct answers are the expressions: 0.8d and d – 0.2d.

HELP FAST!!!!!! PLEASE

Answers

same i need to do this

Factor completely please

Answers

Answer:

Step-by-step explanation:

hello :

1-x² = (1-x)(1+x) by identity : a²-b²=(a-b)(a+b)

What is the product of the 2 solutions of the
equation x^2 + 4x - 21 = 0?
72 +41 – 21 = 0?

Answers

Answer:

-21.

Step-by-step explanation:

x^2 + 4x - 21 = 0

To factor this we need 2 numbers whose sum id + 4 and whose produce is -21.

These are  - 3 and + 7 , so the factors are:

(x - 3)(x + & = 0

x = 3, -7.

Final answer:

The product of the solutions for the quadratic equation x² + 4x - 21 = 0 is -21, as per Vieta's formulas, which states that the product is c/a.

Explanation:

The question is asking for the product of the solutions of a quadratic equation, specifically x² + 4x - 21 = 0. In the context of the quadratic formula, a = 1, b = 4, and c = -21. The quadratic formula is given by x = [-b ± √(b² - 4ac)] / (2a). However, to find the product of the roots, we can apply Vieta's formulas, which states that the product of the roots of a quadratic ax² + bx + c = 0 is c/a.

For the equation in question, the product of the roots would be c/a = (-21)/1 = -21. This is a straightforward application of a standard property of quadratic equations. Therefore, we don't need to find the individual roots to answer the question about their product, saving time and effort.

Evaluate each finite series for the specified number of terms...

40+20+10+...; n=10

(Please show work)

Answers

Answer:

the sum of the first 10 terms is: 79.921875

Step-by-step explanation:

Notice that this is a geometric series, of the sequence that has "40" as the first term, and the following ones are obtained by multiplying by the common ratio "1/2".

So the common ratio [tex]r=\frac{1}{2}[/tex], and the first term [tex]a_1=40[/tex], then, recalling the formula for the partial sum of n terms of a geometric sequence:

[tex]S_n=\frac{a_1\,(1-r^n)}{1-r}[/tex]

we can find the sum of this sequence's first 10 terms (n=10):

[tex]S_n=\frac{a_1\,(1-r^n)}{1-r} \\S_{10}=\frac{40\,(1-(\frac{1}{2}) ^{10})}{1-\frac{1}{2} } \\S_{10}=79.921875[/tex]

Which equation represents a line that has a slope of -5 and an X- intercept of 7?

Answers

Answer:

y=-5x+35

Step-by-step explanation:

Use the formula y = mx + b

m = slope, so plug in -5 as the slope

To find x-intercept we set y=0

We want the x-intercept to be 7 so we can plug that into the equation too

0=-5(7)+b

Lastly solve for b and you get your answer

Final answer:

The correct option is b.

The equation of the line with a slope of -5 and an x-intercept of 7 is y = -5x + 35.

Explanation:

The equation that represents a line with a slope of -5 and an x-intercept of 7 is y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is -5 and the x-intercept is 7, we can substitute these values into the equation to get y = -5x + b.

To find the value of b, we can substitute the x-intercept (7) and y-intercept (0) into the equation and solve for b. Plugging these values in, we get 0 = -5(7) + b. Solving for b gives us b = 35.

Therefore, the equation of the line is y = -5x + 35.

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The complete question is given below:

Which equation represents a line that has a slope of -5 and an X- intercept of 7?

a. y = 5x + 35

b. y = -5x + 35

c. y = -5x - 35

d. y = 35x -5

HELP! Is it A,B,C,or D. i really need help

Answers

I believe the answer is C. I could be wrong.

Please help I’ll give brainliest

Answers

L=2(J)+3

Ling would be 27 if Jordan is 12

Answer:

Ling is 27: X=2 12x + 3 = 27

Step-by-step explanation:

12 times 2= 24 -> 24+3= 27

Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and pays $9 per yoga class. Which inequality represents the number of classes, c, that Natalie can take and stay within her budget?

A. 146 ≤ 9c + 10
B. 146 ≥ 9c + 10
C. 146 ≤ 10c + 9
D. 146 ≥ 10c + 9

Answers

if i can get brainliest that would be great

Answer: The answer is B. Because she can't go over 146. $10 is a one time fee and she pays $9 per classes.

Answer:

a

Step-by-step explanation:

you must subtract ten from each side to get 136 is less than or equal to 9c then divide by nine to get c=15.111111

Find the area of these composite shapes

Answers

The answer would be 360 cm

Answer:

37.5 cm 2

Step-by-step explanation:

The area of the first figure, the rectangle is 30cm2. The base which is 5cm, times the height which is 6cm equals 30cm2. The triangle's area is 7.5cm2 because the height which is 3cm times the base which is 5cm equals 15cm. Because it's a triangle tho, we have to find half of it which  7.5cm2. 30cm2+7.5cm2 equals 37.5cm2.

can anyone help with the statements and reasons have been on this for a while :/

Answers

Answer:

statement: 2. both pairs of parallel lines are congruent

reason: 2. def. of a parallelogram

and that should be all you need

What is the value of x?

Answers

Answer:

Step-by-step explanation:

since we can see that the lines are parallel

and we can see that the both are interior angles and when we sum up both angles we get 180

2x - 5  + 45 = 180

2x  + 40 =180

2x = 180 - 40

2x =140

x = 140/2

x = 70

Solve the quadratic equation for x. What is one of the roots? 5x2 − 45 = 0

Answers

Answer:

x = ± 3

Step-by-step explanation:

Given

5x² - 45 = 0 ( divide through by 5 )

x² - 9 = 0 ( add 9 to both sides )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

Thus the roots are x = - 3, x = 3

Final answer:

To solve the quadratic equation 5x^2 - 45 = 0, we rearrange it to x^2 - 9 = 0 and find that the roots are x = 3 and x = -3.

Explanation:

To solve the quadratic equation 5x2 − 45 = 0, we first need to rearrange it to the standard form ax2 + bx + c = 0. In this case, the equation is already in the standard form with a=5, b=0, and c=-45. The next step is to isolate the x2 term by dividing the entire equation by 5, which gives us x2 − 9 = 0. This simplifies to (x - 3)(x + 3) = 0 due to the difference of squares. Thus, the two roots are x = 3 and x = -3.

Simplify and solve for x. ​ ​ 5(x+20)= 7x+30

Answers

Answer:

x = 35

Step-by-step explanation:

Solve for x:

5 (x + 20) = 7 x + 30

Expand out terms of the left hand side:

5 x + 100 = 7 x + 30

Subtract 7 x from both sides:

(5 x - 7 x) + 100 = (7 x - 7 x) + 30

5 x - 7 x = -2 x:

-2 x + 100 = (7 x - 7 x) + 30

7 x - 7 x = 0:

100 - 2 x = 30

Subtract 100 from both sides:

(100 - 100) - 2 x = 30 - 100

100 - 100 = 0:

-2 x = 30 - 100

30 - 100 = -70:

-2 x = -70

Divide both sides of -2 x = -70 by -2:

(-2 x)/(-2) = (-70)/(-2)

(-2)/(-2) = 1:

x = (-70)/(-2)

The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:

Answer: x = 35

Answer:

x =  35

Step-by-step explanation:

5(x+20)= 7x+30

5x + 100 = 7x + 30

-30                   -30

5x + 70 = 7x

-5x          -5x

70 = 2x

/2      /2

35 = x

bought a condo for $83,000. Assuming that its value will appreciate 6% per year, how much will the condo be worth in 5 years?

$60,914

$83,000

$104,786

$111,073

Answers

Final answer:

The condo will be worth approximately $104,786 in 5 years.

Explanation:

To calculate the future value of the condo, we can use the formula: Future Value = Present Value * (1 + Interest Rate)^Number of Years. Given that the condo was bought for $83,000 and will appreciate at a rate of 6% per year, we can substitute these values into the formula to find the future value.

Future Value = $83,000 * (1 + 0.06)^5 = $104,785.81.

Therefore, the condo will be worth approximately $104,786 in 5 years.

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The value of the condo will be approximately $111,073 in 5 years.

To find out how much your condo will be worth in 5 years if it appreciates at 6% per year, you can use the compound interest formula:

Future Value (FV) = Present Value (PV) * (1 + Rate)ᵗᶦᵐ

Here:

Present Value (PV) is $83,000Rate is 6% or 0.06Time is 5 years

Plug the values into the formula:

FV = 83,000 * (1 + 0.06)⁵

First, calculate the growth factor:

(1 + 0.06) = 1.06

Next, raise the growth factor to the power of 5:

1.06⁵ = 1.3382

Finally, multiply this result by the present value:

83,000 * 1.3382 = $111,073.

What is the area of the shaded region?

Answers

Answer:1cm?

Step-by-step explanation:

Answer:

8.86 square cm

Step-by-step explanation:

Area of shaded region = Area of rectangle - Area of circle

[tex] = 3 \times 4 - \pi {r}^{2} \\ = 12 - 3.14 \times {1}^{2} \\ = 12 - 3.14 \\ = 8.86 \: {cm}^{2} [/tex]

Some help please?


What are the factors of the product represented below?

Answers

Answer:

A. (x+4) (2x+3)

Step-by-step explanation:

Plot the two decimals on the number line below 0.43, 0.39. Write an inequality comparing the two decimals. Explain your answer using the number line

Answers

Answer:

See the image below.

Step-by-step explanation:

The decimals 0.43 and 0.39 are equivalent to  43/100 and 39/100. These decimals lie between 0 and 1.

Draw a number line, mark off and label the multiples of 0.10(e.g 0.10, 0.20) in the interval 0-1.  

Mark 0.43 between 0.4 and 0.5, a little closer to 0.4.

Mark 0.39 between 0.3 and 0.4, just behind 0.4.

Since 0.39 is smaller than 0.43( 0.39 lies on the left to 0.43), the inequality is:

              0.39<0.43

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KOH c. 1-bromo-1-cyclohexylethane d. 1-bromo-1-cyclopentylethane e. NH3 f. xs LiAlH4 g. H3O , then OH- Step 1 Step 2 Step 3 Entry field with correct answer Entry field with correct answer Entry field with correct answer Jamie places fifteen 1 inch cubes in the bottom of a box. She adds 4 more layers of the same number of cubes to completely fill the box. What is the volume of the box? Financial markets and _______ channel _______ to_______ . They also channel money from individuals who want to _______ for the future to those who need cash to spend today. A third function of financial markets is to allow individuals and businesses to adjust their risk. For example, _______ , such as the Vanguard Index fund, and _______ , such as SPDR's or "spiders," allow individuals to spread their risk across a large number of stocks. Financial markets provide other mechanisms for sharing risks. For example, a wheat farmer and a baker may use the _______ to reduce their exposure to wheat prices. Financial markets and intermediaries allow investors to turn an investment into cash when needed. For example, the _______ of public companies are _______ because they are traded in huge volumes on the _______ . _______ are the main providers of payment services by offering checking accounts and electronic transfers. Finally, financial markets provide information. For example, the _______ of a company that is contemplating an issue of debt can look at the yields on existing _______ to gauge how much interest the company will need to pay.a. financial intermediaries; b. savings; c. real investments; d. save; e. mutual funds; f. ETFs; g. commodity markets; h. shares; i.liquid; j.stock market; k.banks; l. CFO; m. bonds What were the two main objectives of the South in the political theater?To advance and destroy the North.Trying to gain the recognition and support of European powers, especially England and France.Trying to gain the recognition and support of European powers, especially Spain and Italy.Making the war unpopular in the North.Making the war popular in the North. "Which of the following statements is FALSE? A. Total return equals earnings multiplied by the dividend payout rate. B. Cutting the firm's dividend to increase investment will raise the stock price if, and only if, the return of new investments is higher than the cost of capital. C. As firms mature, their earnings exceed their investment needs and they begin to pay dividends. D. We cannot use the constant dividend growth model to value the stock of a firm with rapid or changing growth." how many liters of hydrogen gas will be produced at STP from the reaction of 7.17910^23 atoms of magnesium with 54.219g of phosphoric acid (H3PO4)The equation is 3Mg + 2H3(PO4)-->Mg(PO4)2+3H2 What do you think would be the best solution to the slave state vs free state issue? why? What is a defining characteristic that all protocells had in common? Phosphorous acid, H 3 PO 3 ( aq ) , is a diprotic oxyacid that is an important compound in industry and agriculture. p K a1 p K a2 1.30 6.70 Calculate the pH for each of the points in the titration of 50.0 mL of 1.5 M H 3 PO 3 ( aq ) with 1.5 M KOH ( aq ) . A molecule of phosphorous acid. A central phosphorus atom is single bonded to a hydrogen atom and two O H groups. An oxygen atom is also double bonded to the phosphorus atom. a. before addition of any KOH : b. after addition of 25.0 mL KOH : c. after addition of 50.0 mL KOH : d. after addition of 75.0 mL KOH : e. after addition of 100.0 mL KOH :