Answer:
Option B - 9 hours
Step-by-step explanation:
Given : Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 36 hours. If one additional machine were used under the same operating conditions.
To find : In how many fewer hours of simultaneous operation could the production order be filled?
Solution :
Let the numbers of hours taken including additional machine i.e. 4 machines be 'x' hours.
So, 3 machines take 36 hours
and 4 machines take x hours.
Then,
i.e. 4 machines spend 27 hours to do work.
Number of fewer hours of simultaneous operation could the production order be filled is given by,
hours
Therefore, the work could be done in 9 hours less.
So, the correct answer is B.
Answer:
144
Step-by-step explanation:
Abigail wants to produce a tapestry that will be in the shape of a parallelogram
The tapestry is 24 inches across the bottom and 36 inches tall
She pieces smaller simlar parallelograms that are 2 inches wide and 3 inches tall
The first step is to find the area of the whole tapestry
Area = base × height
Base= 24 inches
Height= 36 inches
Area= 24×36
= 864 square inches
The next step is calculate the area of the smaller pieces
Area= base × height
Base= 2 inches
Height= 3 inches
Area= 2×3
= 6 square inches
Therefore, the value needed to produce the tapestry can be calculated by dividing the area of the whole tapestry by the area of the smaller pieces
= 864/6
= 144
Hence Abigail will need 144 smaller similar parallelograms to make the tapestry.
Answer:
C
Step-by-step explanation:
is plotted on the graph the answer is 520
First you subtract 3 from both sides so it would be: -5h = 30
Second you divide -5 from both sides so it would be: h = -6
Answer:
- 1
-------
-14
Step-by-step explanation:
y,, - y, (-7) - ( -6 ) - 1
--------- = ---------------- = -------
x,, - x, (-9) - ( 5 ) -14