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## Tina can paint a room 1.5 times faster than Joey can. If they work together, they can paint a room in 6 hours. How long would it take the slower person working alone to paint the room?

To answer this problem, let us define that:

x = amount of time Joey can paint a room in hours

1.5 x = amount of time Tina can paint a room in hours

Each person can complete 1 job in the specified amount of
time.

1 job / x hours = rate of Joey

1job / 1.5 x hours = rate of Tina

By adding the two, they can paint the room (1 job) in 6
hours. Therefore:

(1 / x) + (1 / 1.5 x) = 1 / 6

Multiplying whole equation with 6 (x) (1.5 x):

6 (1.5 x) + 6 x = x (1.5 x)

9 x + 6 x = 1.5 x^2

Dividing both sides with x:

15 = 1.5 x

x = 10 hours

Therefore the time it will take Tina, the slower person, is
1.5x = 15 hours

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## Read the excerpts from different sections “The Scarlet Ibis.” Although Doodle learned to crawl, he showed no signs of walking, but he wasn’t idle. He talked so much that we all quit listening to what he said. It was about this time that Daddy built him a go-cart and I had to pull him around. At first I just paraded him up and down the piazza, but then he started crying to be taken out into the yard and it ended up by my having to lug him wherever I went. If I so much as picked up my cap, he’d start crying to go with me and Mama would call from wherever she was, “Take Doodle with you.” *** He’d nod his head, and I’d say, “Well, if you don’t keep trying, you’ll never learn.” Then I’d paint for him a picture of us as old men, white-haired, him with a long white beard and me still pulling him around in the go-cart. This never failed to make him try again. Based on these excerpts, what best describes the symbol of the go-cart within the story? It changes from a symbol of youth to a symbol of old age. It changes from a symbol of success to a symbol of failure. It changes from a symbol of hope to a symbol of desperation. It changes from a symbol of freedom to a symbol of captivity.

Read the excerpts from different sections “The Scarlet Ibis.” Although Doodle learned to crawl, he showed no signs of walking, but he wasn’t idle. He talked so much that we all quit listening to what he said. It was about this time that Daddy built him a go-cart and I had to pull him around. At first I just paraded him up and down the piazza, but then he started crying to be taken out into the yard and it ended up by my having to lug him wherever I went. If I so much as picked up my cap, he’d start crying to go with me and Mama would call from wherever she was, “Take Doodle with you.” *** He’d nod his head, and I’d say, “Well, if you don’t keep trying, you’ll never learn.” Then I’d paint for him a picture of us as old men, white-haired, him with a long white beard and me still pulling him around in the go-cart. This never failed to make him try again. Based on these excerpts, what best describes the symbol of the go-cart within the story? It changes from a symbol of youth to a symbol of old age. It changes from a symbol of success to a symbol of failure. It changes from a symbol of hope to a symbol of desperation. It changes from a symbol of freedom to a symbol of captivity.

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## Pat needs to paint an 8 ft x 36 ft wall with a window opening of 3 ft x 4 ft. what is the area that she paints?

Pat needs to paint an 8 ft x 36 ft wall with a window opening of 3 ft x 4 ft. what is the area that she paints?

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## Pat needs to paint an 8 ft x 36 ft rectangular wall. what is the area that she paints?

Remark: the fence is clearly 420 yards, not 420420.

check the picture

The 2 adjacent rectangles (corrals) form one larger rectangle.

as shown in the figure, let x be the length of the fences perpendicular to the river, then the length of the side opposite to the river will be 420- 2x (yard)

so we can write the following function, which calculates the area A enclosed by the fence, as a function of x.

A(x)=2x(420-2x)

clearly A is a quadratic function, its graph is a parabola. This parabola looks downwards because of the minus of the term -2x

from A(x)=2x(420-2x) we can find that the x intercepts of the parabola are:

one of the roots is x=0

and

420-2x=0,
2x=420
x=210 is the other root.

The x coordinate of the vertex is the midpoint of (0, 210), that is 210/2=105

f(105)=2*105(420-2*105)=210*(420-210=2110*210=44,100 square yard.

the highest point of the parabola is the largest value the function takes, so the maximal area of the fence.

Answer: max area= 44,100 square yard.

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## To decorate his bedroom, Jesse spent \$112.65 on new furniture, \$29.75 on paint, and \$48.33 on accessories. About how much did he spend to decorate his bedroom?

1. If 1 monster = 7.2 aliens and 1 monster = 15.5 oranges. So we can consider it as 7.2 aliens = 15.5 oranges. To find out how many oranges are equal to 1 alien we need to do this:
1 alien = 15.5 oranges/7.2;
1 alien = 2.15 oranges (approximately).

2. We have everything to solve this problem. So in a scaled drawing 1 mm = 150 m. => 1 m = 1/150 mm on the drawing. Then 1 m^2 = (1/150 mm)^2 =>
1 m^2 = 1/22500 mm^2.
So the answer is 1/22500 mm^2.

3. The formula of the length is S=V*t. where V – the speed and t = the time. We already know that V = 60 mph and t = 8 seconds. But the measure of the speed is miles per hour, so we need to convert 8 seconds to hours.
8 seconds = 8/60 minutes = (8/60)/60 hours;
Our solution looks like this:
1) S = 60 mph * (8/60)/60 hours;
2) S = 8/60 miles;
3) S = 0.13 miles;

4. First let’s find out how many gallons of gas she spent during her trip:
172.5/30 = 5.75 gal;
Now we can find price per gallon:
20,70/5.75 = 3.60\$ per gallon;
So the approximate cost of gas in dollars per gallon is 3.60\$ per gallon.

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## Tomorrow we will begin priming the Chevy for the custom paint job I have decided to choose a classic color. Which sentence error does the text make?

Hey there!

Correct answer is D. Comma or Period Inside Rule

A. Question mark or exclamation point inside: those are not really necessary.

B. Colon or semicolon: not, a semicolon would divide the whole sentence and it would be shorten; a colon would work but after requested, when there is already a comma.

C. Question mark or Exclamation Point Outside Rule: would not work, becase it is an very polite and affirmative sentence.

D: A comma or period inside rule: actually, just a comma would work. Please, Cooper’s dad requested, go… Cooper’s dad requested must be in between commas as it is a vocative.

Hope this helps

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## Super-yummy soup, inc. wants to paint their entire soup can red, including the top and bottom. if the diameter of the lid is 5 cm, and the height of the can is 9 cm, what is the approximate total surface area that will need to be painted?

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## It’s very common to have paint thinner in an auto body repair shop. which would be the most effective way of extinguishing a puddle of thinner that catches fire? a. class a extinguisher b. class c extinguisher c. class b extinguisher d. water hose

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

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## Eric kweeder can paint a wall in 20 mins. His brother Jessup can paint the same wall in 30 mins. How long will it take them working together?

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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D) I drove them, all three wailing, to the ships,

Explanation:

Odysseus chooses to do battle with the Greeks despite the fact that he wouldn’t like to leave his wife and child. Being a decent pioneer he will be, he sets aside his own wants and unselfishly offers himself to fighting for his nation.

During the war with Troy, he is splendid in fighting. He thinks of the possibility of the Trojan Horse. At the point when the Trojans open their doors and get the Trojan Horse, Odysseus and the Greeks get inside the city of Troy. Odysseus drives his men to triumph.

During his trek home from the war, Odysseus drives his men through numerous obstructions. He is brave even with beasts and hazardous ladies, for example, Circe and Calypso. Odysseus never surrenders in attempting to protect his men. Despite the fact that he loses men, he is crushed by the way that he couldn’t spare every one of his men.

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## Mr. Rivas bought a can paint. he used 3/8 of it to paint a bookshelf. he used 1/4 of it to paint a wagon. he used some of it to paint a birdhouse and has 1/8 of the paint left. how much paint did he use for he birdhouse

Mr. Rivas bought a can paint. he used 3/8 of it to paint a bookshelf. he used 1/4 of it to paint a wagon. he used some of it to paint a birdhouse and has 1/8 of the paint left. how much paint did he use for he birdhouse

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## Ming needs 1/2 pint of red paint for an art project.he has 6 jars that have the following amounts of red paint in them.he wants to use only 1 jar of paint .Mark all of the jars of paints that Ming could use. A, 2/3 pint B, 1/4 pint C,4/6 pint D,3/4 pint E,3/8 pint F,2/6 pint

Statement A is correct about Sam’s box and whisker plot.

Step-by-step explanation:

We have been given a box plot and we are asked to find out true statement according to the box plot.

Since we know data represented by box plot is divided in four equal parts.

Upon looking at our box plot we can see that our data is symmetric. It’s median is 15, which means half the math assignments have less than 15 problems and half of the math assignments have more than 15 problems.

Interquartile range represents 50% values of data and it is the difference between upper quartile and lower quartile. IQR is not affected by outliers.

Upon substituting given values from box plot we get,

From IQR we can conclude that half of the assignments contained 15 problems or fewer.Therefore, option A is the correct choice.

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## Which strategies can be used to solve this problem? The car assembly line workers at a new factory painted 5,000 cars in its first year, 7,213 cars in its second year, and 8,201 cars during its third year. How many more cars did the workers paint in its first and second years together than in its third year? Choose all answers that are correct. A. Draw a diagram. Draw three circles. In one write 5,000, in another write 7,213, and in the third write 8,201. Draw an x through the circle with 8,201 written in it. Circle the other two circles with a larger circle. B. Translate into an equation. (5,000 + 7,213) – 8,201 = c C. Work backward. Add 5,000 (cars painted first year) to 7,213 (cars painted in second year). Add 8,201 (cars painted in third year). D. Use logical reasoning. Combine the totals for cars painted in the first two years (5,000 + 7,213). Subtract 8,201 (cars painted in the third year) from the sum to get the answer.

1. Scatter plot : In Scatter plot, which consist of two variables, are represented in two dimensional plane through dots.If you join these points along the order in which they are given , you can’t predict whether they are in ascending or descending order.But if you arrange the data in ascending order and then plot it on two dimensional plane, you will get numerical data in ascending order.

2. Line Graph: A line graph is representation of something over a period of time. Suppose an object is not moving uniformly, we plot distance traveled in different interval of time in two dimensional coordinate plane.As Distance traveled is always positive , with increase in time , distance traveled will increase or remain constant , for two duration or period. So, we can say with conformity that Line graph is also one of the simplest way of representation of numerical data in ascending order.

3. Box-and-whisker plot: In Box and whisker plot, when data is arranged in ascending order, then a box is drawn, the upper and lower ends of box are first Quartile and third Quartile Respectively.Median lies inside the box.The spanning of whole box tells about Interquartile range.And the two line segments which are connected from the two ends of box ,one end of segment is lowest value in Data set and Other end of segment is largest observation in the data set.In Box and whisker Plot, Numerical data is also arranged in ascending order.

4. Stem and Leaf Plot: In Stem and Leaf plot, data is splitted into parts, the first digit of number from left is stem and last digit from right is Leaf.

For, example 45,46,47,……

4 is Stem and 5,6,7 are Leaves.

So, the way of representation of numerical data, is simplest in stem and leaf plot.

Option D:Stem- and- Leaf Plot , is simplest method to represent numerical data in ascending order.

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## Related questions

ANSWERED AT 13/10/2019 – 06:32 AM

QUESTION POSTED AT 13/10/2019 – 06:32 AM

### What is the interquartile range of the following data set? 30, 26, 28, 32, 28, 30The interquartile range is 2

Interquartile range is Q1 – Q3. We first have to put the numbers in ascending order.  26, 28, 28, 30, 30, 32. Now, Q1 : 26 and 28. Now, Q3 : 30 and 32. Let’s find the range of Q1 and Q3. 26 + 28 = 54. Then, you divide by 2. 27 – Q3. 30 – 32 = 62. 62 / 2 = 31.  31 – 27 = 4. Hope this Helps.

ANSWERED AT 13/10/2019 – 06:01 AM

QUESTION POSTED AT 13/10/2019 – 06:01 AM

### Which will hold more cake batter the rectangular pan or two round pans

Will have to compare volume amount of the pans
rectangular pan we do lxwxh
13x9x2=234in^3 cake batter

cylinder pan we do
= 100.531

and since we get two round pans, the total amount of batter we get from round pans are around 201.062

so rectangular pan wins with more cake batter.

ANSWERED AT 13/10/2019 – 05:42 AM

QUESTION POSTED AT 13/10/2019 – 05:42 AM

### What does 5 half pints equal to in cups

3/3 because there’s 8 pints in one gallon and just draw the picture of a gallon may and draw a line through that

ANSWERED AT 13/10/2019 – 05:13 AM

QUESTION POSTED AT 13/10/2019 – 05:13 AM

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## . A farmer needs to find the surface area of his cylindrical silo to determine the amount of paint needed to cover the entire surface. Find the surface area of the silo, which has a radius of 6 m and a height of 15.5m. Use 3.14 for pi. (Hint: only one base of the cylindrical silo will be painted since it is standing on the ground.)

Culvert is a tunnel, therefore we can use the volume and area formula of a cylinder.

Circumference is given such as 280 cm and the circumference formula of a circle is C = 2*pi*r

Solving for the radius, we have:
280 = 2*3.14*r
r = 280/2*3.14
r = 44.59 cm

Area of one end:
Area = pi*r²
Area = 3.14 * 44.59²
Area= 6,243.2 cm²

The total area is times two of area since there were two ends in the culvert.
Total area = 6243.2 * 2
Total area = 12,486.32 cm²

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## What is the least number of different colors needed to paint a cube so that no adjacent faces have the same color

Answer: 0.27 goldfish per cubic foot

Step-by-step explanation:

The formula to calculate density is given by :-

Given: The number of goldfish = 12

The volume of the tank = 45 cubic feet.

Now, the density of the tank is given by :-

Hence, the density of the tank = 0.27 goldfish per cubic foot