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natka813 [3]
2 years ago
11

Question 4

Mathematics
1 answer:
polet [3.4K]2 years ago
7 0

Answer:

12/7 hours

Step-by-step explanation:

First find the rate for hour for the two. For Lianne she can do 1/3 of the job per hour. For Julie she can do 1/4 of the job per hour.

Adding them together, 1/3+1/4= 7/12.  

This 7/12 means that working together they can finish 7/12 of a job in an hour. We can use the speed*time=distance formula here and see that

7/12 * time = 1 job done

time = 12/7 hours.

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exis [7]
V = 1/3 l h w

V = 1/3 (12)(15)(9)
V= = 540

answer 540 m^3
8 0
3 years ago
Which graph best represents the feasibility region for the system shown above? ( pics are in this)
zalisa [80]

Consider the system of inequalities

\left\{ \begin{array}{l}  y\ge 2 \\  x\le 6 \\  y\le 3x+2 \\  y\le -x+10. \end{array}\right.

1. Plot all lines that are determined by equalities (see attached diagram)

\left\{ \begin{array}{l}  y=2 \text{ (red line)} \\  x= 6  \text{ (blue line)}\\  y=3x+2 \text{ (green line)} \\  y= -x+10  \text{ (orange line)}. \end{array}\right.

2. Determine which bounded part of the plane you should select:

  1. y\ge 2 means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
  2. x\le 6 means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
  3. for y\le 3x+2 you can check where the origin is placed. Since 0\le 3\cdot 0+2, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
  4. for y\le -x+10 you can check where the origin is placed. Since 0\le -1\cdot 0+10, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.

3. According to the previous explanations, the shaded region is as in A diagram.

Answer: correct choice is A.


5 0
4 years ago
Read 2 more answers
What is the volume of this prism? <br> A. 23.9 ^3<br> B. 47.7 cm^3<br> C. 4.50 cm^3<br> D. 9.00 cm^3
melisa1 [442]

Answer: A) 23.9

Step-by-step explanation:

volume of a shape means the area of its base multiplied by its height

so , the base here is a right angle triangle it's area equals 1/2*b*h = 1/2*3*6=9 m² and the prism height is 2.65.

therefore the volume is 2.65*9

8 0
3 years ago
15 points to answer this question
Mamont248 [21]

it is none since there is no relation

4 0
4 years ago
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What is the greatest common factor of 32,24,40
Mandarinka [93]

The GCF of 24, 32, and 80 must be 8, since it is the largest number common to both lists. Example 1 Find the greatest common factor of each set of numbers by listing factors.
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