Answer: 7.8 days
<u>Step-by-step explanation:</u>
Painter can get the job done in 15 days so gets 
of the job done in 1 day.
Coworker can get the job done in 10 days so gets 
of the job done in 1 day.
Together, they get 
of the job done in 1 day.
Painter worked for 3 days so completed 
of the job.
That leaves a remaining of 
of the job to be completed.
Let x represent the number of days it will take them to work together.
Painter + Coworker = Together
Multiply by 30 to eliminate the denominator:
Simplify and solve for x:
2x + 3x = 24
5x = 24
x = 4.8
Remember that Painter worked 3 days alone in addition to the 4.8 days they worked together.
So the total time to paint the building is 3 + 4.8 = 7.8
Answer:
1p 2p 2p 2p 5p 5p 10p
Step-by-step explanation:
Available coins that are less than 11p: 1p 2p 5p 10p
11p with two coins ⇒ 1p + 10p only
11p with three coins ⇒ 1p + 5p + 5p only
11p with three coins ⇒ 2p + 2p + 2p + 5p only
Therefore, the seven coins that Luke has are:
1p 2p 2p 2p 5p 5p 10p
Answer:
Step-by-step explanation:
Given
The attached graph
Required
Calculate the constant of proportionality.
Represent the required constant with k.
Such that:
Pick any two corresponding values of x and y
This means that:
becomes
A, B, and C are all equal to the ratio 7:5
If you simplify each of the numbers in A, B, and C, you will find that they will come to equal 7:5
Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = 
= 
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is 
, and the height of the tree is 10 m, then the distance, d, across the river would be;
d = 
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
