Shawn can complete a concrete job in 4 hours, in one hour he will do 1/4 of the job.
Ellie can complete a concrete job in 6 hours, in one hour he will do 1/6 of the job.
If Shawn and Ellie work together, they will complete 1/4 + 1/6 of the job in one hour, that is,
Amount of work done by both workers in an hour = 1/4 + 1/6 = 5/12.
5/12 = 1/x, where x is the number of hours required to complete the job by both men
5/12 = 1/x
Cross multiply:
5 * x = 12 * 1
5x = 12
x = 12/5 = 2.40
Therefore, if the two men are working together, it will take them 2.40 hours to complete the job.
Answer:
vertical angles, x=5 The angles each measure 35 degrees
Step-by-step explanation:
These are vertical angles, so they are equal
3x+20 = 10x-15
Subtract 3x from each side
3x+20-3x = 10x-13-3x
20 = 7x-15
Add 15 to each side
20+15 = 3x-15+15
35=7x
Divide by 7
35/7 = 7x/7
5 =x
The angles are equal so they each measure
3x+20 = 3(5)+20 = 15+20 = 35
The each measure 35
Answer:
1.4
Step-by-step explanation:
Ax=b(c+x)
ax=bc+bx
(a-b)x=bc
x =bc/(a-b)
Answer:
5 centimetres = 1 kilometre
Step-by-step explanation:
First add up the distances measured on the map.
1.1+4.8+2.2+3.4=11.5 cm
Based on this, since the number of cm is greater than the number of km, we can figure out that each cm should not be multiplied to get the km, so we can eliminate the first two answers.
Next write an equation to represent finding the scale
x=scale
11.5=2.3x
Now solve for the scale
11.5/2.3=2.3x/2.3
5=x
Therefore the scale is 5 centimetres = 1 kilometre
