We are given that 76 persons can complete the job in 42 days.
We need to find the number of days will 56 persons do the same job.
Let us assume that in x number of days will 56 persons do the same job.
Number of days taken by 1 person to complete same work = 76 × 42 =3192 days.
56 person will take =
= 57.
<h3>
Therefore, 57 days will 56 persons do the same job.</h3>
You did not attach any
picture to solve this problem. We cannot calculate for the value of A’ and D’
without the correct graph. However, I think I found the correct graph (see
attached), please attach it next time.
So we are given that the
figure is dilated by a factor of, meaning that all of its end points are
multiplied by 2. By this rule, all we have to do is to simply multiply the
initial coordinates of A and D by 2 to get A’ and D’, that is:
A’ = (-1 * 2, -1 * 2) = (-2,
-2)
<span>D’ = (2 * 2, -1 * 2) = (4,
-2)</span>
Two figures are similar if one is the scaled version of the other.
This is always the case for circles, because their geometry is fixed, and you can't modify it in anyway, otherwise it wouldn't be a circle anymore.
To be more precise, you only need two steps to prove that every two circles are similar:
- Translate one of the two circles so that they have the same center
- Scale the inner circle (for example) unit it has the same radius of the outer one. You can obviously shrink the outer one as well
Now the two circles have the same center and the same radius, and thus they are the same. We just proved that any two circles can be reduced to be the same circle using only translations and scaling, which generate similar shapes.
Recapping, we have:
- Start with circle X and radius r
- Translate it so that it has the same center as circle Y. This new circle, say X', is similar to the first one, because you only translated it.
- Scale the radius of circle X' until it becomes
. This new circle, say X'', is similar to X' because you only scaled it
So, we passed from X to X' to X'', and they are all similar to each other, and in the end we have X''=Y, which ends the proof.
The response time includes the round-trip signal time plus the robot's travel time.
59 min = 2*(9.5 min) +travel time
59 min -2*(9.5 min) = travel time = 40 min
The speed is distance / travel time
speed = (52.8 m)/(40 min) = 1.32 m/min
The robot's average speed was 1.32 meters per minute.
Answer: The correct option is
(A) 
Step-by-step explanation: Given that Juan can download new songs for $1.29 each.
We are to write an equation to show how many songs he can download for $10.00.
Let x represents the number of songs that Juan can download for $10.00.
Then, according to the given information, the equation can be written as follows :

Thus, the required equation is 
Option (A) is CORRECT.