Answer: 27 days
Step-by-step explanation:
Hi, to answer this question we have to apply inverse relation:
Since it takes 24 electricians 36 days to wire a new housing subdivision, the relation is:
24 (36)
For 32 electricians:
24(36) = 32 (x)
Solving for x (days)
864 =32x
864/32 =x
x= 27 days
Feel free to ask for more if needed or if you did not understand something.
surface area = 4 x pi x r^2
diameter = 1 so radius = 1/2 = 0.5
4 x 3.14 x 0.5^2 = 3.14 meters^2
<u>Answer:</u>
The solution set of given equations -x-y-z = -8 and - 4x + 4y + 5z = 7 and 2x + 2z = 4 is (3, 6, -1)
<u>Solution:</u>
Given, set linear equations are
-x – y – z = -8 ⇒ x + y + z = 8 → (1)
-4x + 4y + 5z = 7 ⇒ 4x – 4y – 5z = -7 → (2)
2x + 2z = 4 ⇒ x + z = 2 → (3)
We have to solve the above given equations using substitution method.
Now take (3), x + z = 2 ⇒ x = 2 – z
So substitute x value in (1)
(1) ⇒ (2 – z) + y + z = 8 ⇒ 2 + y + z – z = 8 ⇒ y + 0 = 8 – 2 ⇒ y = 6.
Now substitute x and y values in (2)
(2) ⇒ 4(2 – z) – 4(6) – 5z = - 7 ⇒ 8 – 4z – 24 – 5z = -7 ⇒ -9z – 16 = -7 ⇒ 9z = 7 – 16 ⇒ 9z = -9 ⇒ z = -1
Now substitute z value in (3)
(3) ⇒ x – 1 = 2 ⇒ x = 2 + 1 ⇒ x = 3
Hence, the solution set of given equations is (3, 6, -1).
The statement in option D is TRUE.
From the graph, you can see that one eraser cost 50 cent and all the eraser cost the same. Following the graph, you will observe that, when the total cost of the eraser is $3.5 on the vertical axis, the corresponding point on the horizontal axis is 7.
That particular plot on the graph is telling you that when seven erasers are bought, the total cost is $3.5.
Answer: D
Step-by-step explanation:
there is no 7 on the dies so it can be 1-6
