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Complete Question

An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.

A. Find the cost of painting this open box.

B. Find the weight of the water in the filled box

Answer:

A

[tex]x = \$ 294[/tex]

B

[tex]z =  3720 \  pounds[/tex]

Step-by-step explanation:

From the question we are told that  

  The length is  [tex]l  =  6 \ ft[/tex]

    The width is  [tex]b =  4 \ ft[/tex]

   The height is [tex]h  =  2.5 \  ft[/tex]

Generally the total surface area of the open, rectangular box is mathematically represented as

       [tex] T_ A = 2lb + 2lh + 2bh[/tex]

=>   [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]  

=>   [tex] T_ A = 98 \ ft^2 [/tex]

From the question we are told that

     $36.00 worth of paint  covers  [tex]12 ft^2[/tex]

So  $x worth of paint covers  [tex]98 \ ft^2[/tex]

=>  [tex]x = \frac{98 * 36}{12}[/tex]

=>   [tex]x = \$ 294[/tex]

Generally the volume of the open, rectangular box is mathematically represented as

     [tex]V  =  l *  b  *  h[/tex]

=>   [tex]V  =  6 *  4  *  2.5[/tex]

=>   [tex]V  =  60 \ ft^3 [/tex]

From the question we are told that  

[tex]1 ft^3[/tex]  weigh 62 pounds

[tex] 60 \ ft^3[/tex] weigh z pounds

=>  [tex]z = \frac{60 * 62}{1}[/tex]

=> [tex]z =  3720 \  pounds[/tex]

Answer:

0.55

Step-by-step explanation:

Answer:

d = 60h + 35

Step-by-step explanation:

60 = Slope

35 = Y-intercept

You would just input whatever amount of time you need to the variable h in order to find the value of d.

Answer:

Step-by-step explanation:

As both are selling half of their stamps, the ratio won't change. It will be same:

Reason:

Georgia : Julie = 2 : 1

Let total stamps = x

Part of stamps that Georgia has = 2/3 of x

Part of stamps that Julie has = 1/3 of x

[tex]\frac{1}{3}x=64\\\\x = 64*3\\\\x= 192[/tex]

Total stamps = 192

Stamps with Georgia = 192 - 64 = 128

After selling half of his stamp, Georgia has  = 128÷2  = 64

After selling half of her stamp, Julie has  = 64 ÷ 2  = 32

Ratio of stamps after selling half of their stamps = 64 : 32

                              = 2 : 1

 The ratio of collectible rocks Juanita owns to rocks that Aisling owns is 3:1. Aisling has 32 rocks. How will the ratio of Juanita’s rocks to Aisling’s rocks change if they both sell one fourth of their rocks? Explain.

Juanita : Aisling = 3 : 1

Let total rocks = x

Part of rocks that Juanita has = 3/4 of x

Part of rocks that Aisling has = 1/4 of x

[tex]\frac{1}{4}x=32\\\\x = 32*4\\\\x= 128[/tex]

Total rocks = 128

Rocks with Juanita = 128 - 32 = 96

After selling one fourth of his rock, Aisling has  = 32 ÷  4 = 8

After selling half of her rock, Juanita has  = 96 ÷ 4  = 24

Ratio of rocks after selling one fourth of their rocks =24 : 8

                              = 3 : 1

Answer:

55%

Step-by-step explanation:

100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.

55/100 = 55%

Answer: 55%

Step-by-step explanation:

Answer:

The value of the amplitude is -2

Step-by-step explanation:

The given parameters are;

The vertex of the parabola = (-2, 1)

The point through which the parabola passes = (0, -7)

The equation of the parabola can be expressed as follows;

y - y₀ = a·(x - x₀)²

Where;

y₀ = The y-coordinate of the vertex = 1

x₀ = The x-coordinate of the vertex = -2

Therefore, we substitute the known values of the coordinates of a point  the parabola to get;

-7 - 1 = a·(0 - (-2))²

-8 = 4·a

a = -8/4 = -2

The value of the amplitude a = -2.

Answer:

m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,

Step-by-step explanation:

360°

m< 1 = m< 3 → 76° (76°*2 = 152°)

360° - 152° = 208°

208°/2 = 104°

m< 2 = m< 4 → 104°

Answer:

train tracks

Step-by-step explanation:

They have simple rotations and movemental frequences

Answer:

7.302997e+301

Step-by-step explanation:

Answer:

calculator cannot  hold that much digits

Step-by-step explanation:

The answer fam is............  A. Hundreds

The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have:

A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.

She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house

The rate = 10 miles/hour

Father's scooter rate = 15 miles/hour

Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.

Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

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Answer:

Carla's suitcase was a better purchase.

Step-by-step explanation:

The complete question is:

Carla and Daniel bought identical suitcases at different stores. Carla's suitcase originally cost $75 and was discounted 19% Daniel's suitcase original cost $85 and was on sale for 20% off the original price. Which suitcase was the cheaper?

Solution:

        Discount% for Carla = 19%

        The amount paid by Carla is,

        [tex]\text{Amount}=CP\times [1-d\%]=75\times [1-0.19]=60.75[/tex]

        So, the amount paid by Carla was, $60.75.

        Discount% for Jeana = 20%

        The amount paid by Jeana is,

        [tex]\text{Amount}=CP\times [1-d\%]=85\times [1-0.20]=68[/tex]

        So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

Answer:

Definition. A pronoun (I, me, he, she, herself, you, it, that, they, each, few, many, who, whoever, whose, someone, everybody, etc.) is a word that takes the place of a noun. In the sentence Joe saw Jill, and he waved at her, the pronouns he and her take the place of Joe and Jill, respectively.

Answer:

130

Step-by-step explanation:

angle DEC and angle GHE are corresponding so they would be congruent or equal.

Answer:

130

Step-by-step explanation:

angle DEC and angle GHE are corresponding angles and they are same if they sit in parallel lines.

Answer:

If Gigi has between 10 and 30 pennies, all the possible combinations that form a rectangle with more than 1 column and row are:

Answer:

-1

Step-by-step explanation:

slope = ΔY  / ΔX  = 5/(-5)=-1

Answer:

hheikxkhyujherik

Step-by-step explanation:

iieeokwe7ib2tui

The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

The area under the standard normal distribution curve between z=o and z=1.47 can be found as,

Area = (Z=1.47) - (Z=0)

As per the z-table the values of z are,

Z = 1.47 = 0.9292

z = 0 = 0.5

Area = 0.9292 - 0.5

Area = 0.4292 = 42.92%

Thus, The area under the standard normal distribution curve between z=o and z=1.47 is 42.92%.

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Answer:

No.

Step-by-step explanation:

A graph must pass the Vertical Line Test in order to be a function. Since this graph doesn't pass the test, it is not a function.

However, this graph is a conic, specifically a hyperbola.

Answer:

Lin walks 500 feet and Elena walks 500 yards

Step-by-step explanation:

First of all, 1 yard is greater than 1 feet, there relation is given by:

1 yard = 1 feet

From the image attached, we can see that Lin's house is closer to the school than Elena house, therefore we can come to the conclusion that Lin walks 500 feet and Elena walks 500 yards because Elena house is farther away from the school. The distance from Elena house to the school is about 3 times the distance from Lin house to the school.

Answer: lin walks 500 feet and elena walks 500 yards

Step-by-step explanation:

1 foot is smaller then one yard

Answer:

∠AEB = 62°

∠CED = 62°

∠CDE = 36°

Step-by-step explanation:

The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the first triangle be represented as ΔABE

Let the second triangle be represented as ΔCDE

The measure of angle ∠EAB = 62°

The measure of angle ∠ABE = 56°

The sum of the interior angles of a triangle = 180°

So , the measure of angle ∠AEB = 180° - ( 62° + 56° )

The measure of angle ∠AEB = 180° - 118°

The measure of angle ∠AEB = 62°

And , by vertically opposite angles

The measure of angle ∠AEB  = measure of angle ∠CED

And , the measure of ∠CDE = 180° - ( 82° + 62° )

The measure of ∠D = 180° - 144°

The measure of ∠D = 36°

Therefore , the measure of ∠m = 36°

Hence , the measure of angle ∠D is 36°

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Answer:

b

Step-by-step explanation:

because X= the amount of time hes on each machine. so 8 times x

Answer: B

Step-by-step explanation:A P E X

Answer:

x=9

Step-by-step explanation:

because its isosceles, and as stated PQ = QR

so...

2x+1=3x-8

solve for x

x=9

Hope you are having a good day!

Answer:

The value of X in isosceles triangle is 9

The answer is 35

Since they are supplementary they both equal 180 degrees.

(3x+10)+(2x-5)=180

Add them up

5x-5=180

Subtract 5 from both sides

5x=180-5

5x=175

Divide 5 from both sides

x=35.

b

Step-by-step explanation:

Answer: the first one is a matrix. the second one is functional.

Step-by-step explanation:

Answer:

If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a  

✔ matrix

organizational structure.

If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a  

✔ functional

organizational structure.

If a company has departments such as Northwest, South, and Northeast, it probably has a  

✔ divisional

organizational structure.