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user100 [1]
2 years ago
5

Tom can do a job in 4 hours while Sam can do it in 6 hours. How many hours would it take to complete this job if they work toget

her?
Mathematics
1 answer:
Hunter-Best [27]2 years ago
4 0

Answer:

12/5hours=2.4 hours

Step-by-step explanation:

Sam:6hours

Tom:4hours

This is a rate problem

Sam's rate is one job completed in 6 hours which is 1/6

Tom's rate is one job completed in 4 hours which is 1/4

Together, they could complete 1/4+1/6 of the job in y hours

We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y

1/4+1/6=1/y

The least common denominator is 12y

Multiplying through by the LCD which gives:

12y(1/4)+ 12y (1/6)= 12y (1/y)

3y + 2y=12

5y = 12

y=12/5 hours=2.4hours

Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together

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Solve the expression (7th grade math):<br><br> 17 - 1/5x + 2/3x - 92 + 7/10x
Rzqust [24]

Answer:

The answer is 7/6x - 75.

Step-by-step explanation:

17 - 1/5x +2/3x - 92 + 7/10x

17 - 6/30x + 20/30x - 92 + 21/30x

-6/30x + 20/30x + 21/30x = 35/30x or 7/6x

17 - 92 = -75

7/6x - 75

3 0
2 years ago
What is the ratio of red to blue cars there were 32 red cars and 16 blue cars
Rufina [12.5K]

Answer:

2:1

32:16 is 2:1

3 0
3 years ago
Leonard purchases a model boat kit for $67.53. He uses a coupon for $25 off a purchase of $50 or more. What is the discounted pr
DerKrebs [107]
Given that the original price of the model boat kit is $67.53 and he has a coupon of $25 off if a purchase is $50 or more. Since the purchase is more than $50, we will deduct 25 from 67.53 so the discounted price of the model boat kit would be $42.53. Hope this answers your question.
8 0
3 years ago
Graph the data from the tables onto the following graph. Note that for both tables, the values in the first column must be plott
DENIUS [597]

Graphs are used to visualize the set of data on a table or functions and equations

<h3>How to graph the table?</h3>

The table is not given.

So, I will make use of the following table to plot the graph

x     y

1       2

2      4

3      6

4      8

5     10

To plot the table on a graph, we place the x values on the x-axis, and the y values on the y-axis

See attachment for the graph of the table

Read more about graphs and tables at:

brainly.com/question/14323743

5 0
2 years ago
Find the total area of the entire figure. *
bonufazy [111]

Answer:

392.5 in²

Step-by-step explanation:

This figure is consists of a trapezium and a rectangle.

So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately  and add them together.

Let us find now.

<u>Area of the Trapezium</u>

Area = \frac{1}{2} × ( sum of the parallel sides ) × height

Area = \frac{1}{2} × (  9 + 20 ) × 5

Area = \frac{1}{2} × 29 × 5

Area = \frac{1}{2} × 145

Area = 72.5 in²

<u>Area of the rectangle</u>

Area = Length × Width

Area = 20 × 16

Area = 320 in²

<u>Total area of the figure</u>

Total area = Area of the trapezium + Area of the rectangle

Total area = 72.5 in² + 320 in²

Total area = 392.5 in²

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0
2 years ago
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