Tim has completed greater amount of work and overall they have completed 142/143 of the project work
Step-by-step explanation:
Given
Work completed by Jaime = j = 5/11
Work completed by Tim = t = 7/13
<u>a. Who has completed the greater amount of work?</u>
In order to see that we have to convert the fractions in decimal
So,
j = 5/11 = 0.45
t = 7/13 = 0.53
As we can see that the decimal for Tim's work space is large, Tim has completed greater amount of work
b. How much of the project have they completed together? Show your work.
We have to find the total work done by them
Hence,
Tim has completed greater amount of work and overall they have completed 142/143 of the project work
Keywords: Fractions, LCM
Learn more about fractions at:
#LearnwithBrainly
Answer:
x=1
Step-by-step explanation:
Answer: A) 18.2 minutes
B) 4.5 minutes.
Step-by-step explanation:
A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
Sammie can mow one lanw in 36 minutes, so the rate of work is:
1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
Maxine = 1 -(1/24)*x
Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.
2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
by the minute 18.2
B) Similar to before, here the rates are:
For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
Sammie = 1 - (1/9)*x
We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
2 - (1/3)*x = 1 - (1/9)*x
2 - 1 = (1/3 - 1/9)*x
1 = (2/9)*x
1*9/2 = x = 4.5
So here the solution is 4.5 minutes. Hope this helps
From the diagram, ΔRST, ΔRUS and ΔSUT are right triangles. This means that the corresponding legs of the three triangles are proportional, then we can say that the triangles are similar by side-angle-side similarity.
RS/RU=RU/SU
In the figure we can also notice that the acute angles of the corresponding angles are similar, then by angle-angle similarity the triangles are similar.
∠TRS~∠URS~TSU
This implies that: ΔSUT~ΔSRU~ΔRTS
Answer:
<1 and <2 are vertical angles.
Step-by-step explanation:
Since they are the same measurements, and are on opposite sides, that makes them vertical angles.
