Answer:
Time required by Machine B to create a widget = 4 hours
Step-by-step explanation:
Time taken by Machine A ( ) = 3 hours
Time taken by Machine B ( )= x hours
Time taken by both machines by working together = 12 hours
The time required to both machines by working together to finish a task is given by the formula =
Put the values in above formula we get
⇒ T =
⇒ 12 =
⇒ 36 + 12 x = 3 x
⇒ x = - 4 hours
This is the time required by Machine B to create a widget.
Given:
1 set requires 4 couples 8 dancers.
Total number of people at a square dance = 250.
To find:
The greatest number of sets possible at the dance.
Solution:
We have,
Total people = 250
1 set = 8 people.
Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.
Therefore, the number of possible sets at the dance is 31.
Answer:
27
Question:
Find so that
is a solution to
.
Step-by-step explanation:
So we are asked to replace with -14 and solve for
in the equation:
.
with
:
Add 42 on both sides:
Divide both sides by 2:
.
So the -coordinate that corresponding to
is
.
Verify that:
is a point satisfying
.
Replace with 27 and
with -14:
is true so our work must be right.