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Vanyuwa [196]
3 years ago
11

A group of college students is volunteering for Homes for the Community during their springbreak.They are putting the finishing

touches on a house they built.Working alone, Wade can paint a certain room in 3 hours. Rhonda can paint the same room in 7 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth.
Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0
Okay, so the rate is 1 job / hours, so:
1/3 + 1/7 (This covers both their work rates) = 1/n (n represents the time it take for them to work together)
Get the LCD:
7/21+ 3/21 = 1/n
10/21 = 1/n
Cross multiply:
10n = 21
n = 2.1 
It will take them 2.1 hours, or 2 hours and 6 minutes
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The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Angelina_Jolie [31]

Answer:

Group A, because seven children have a forearm length longer than 10 inches

Step-by-step explanation:

Create the dot plots based on the given information (please see attached images).

Group A = blue dots

Group B = red dots

From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length.  This is because 7 children have a forearm length of longer than 10 inches.

To calculate the average forearm length, sum all data values and divide by the total number of data values.

\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11

\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9

Thus proving that Group A has the longer average former length.

7 0
2 years ago
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A rectangular pyramid was sliced parallel to its base. What is the shape of the cross section
nignag [31]

<u>Answer:</u>

Trapezoid is the shape of the cross section of a rectangular pyramid.

<u>Step-by-step explanation:</u>

We are given a rectangular pyramid was sliced such that it becomes parallel to its base. We are to determine the shape of the cross section.

Slicing the pyramid with rectangular pyramid will form a trapezoid as a cross section which will be parallel to the base of the pyramid.

Refer to the figure below for better understanding.

4 0
3 years ago
Simplify by combining like terms -17+2(6x-1)+5
earnstyle [38]

\huge\boxed{12x-14}

Start with the original expression.

-17+2(6x-1)+5

Use the Distributive Property — multiply 2 by both 6x and -1.

-17+12x-2+5

Combine the like terms — add up all the constants.

-14+12x

Reorder the terms.

\large\boxed{12x-14}

5 0
3 years ago
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I just tooked the test.
4 0
3 years ago
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Can I get help with this?
blagie [28]

Answer:

y-4=7(x-1)

Step-by-step explanation:

Hi there!

We are given the slope of the line (7) and the point (1,4) and we need to find the equation in point-slope form.

Point-slope form is given as y-y_{1}=m(x-x_{1}) where m is the slope and (x_{1},y_{1}) is a point

We have all of the needed information for the equation, but let's first label the values of everything in order to avoid confusion

m=7

x_{1}=1

y_{1}=4

now substitute into the formula:

<u>y-4=7(x-1)</u>

Hope this helps! :)

6 0
3 years ago
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