<span>Let us first find a ratio between the quantity of work done by Darnell and Julius. If Darnell does one part of the work, Julius does two parts of the work. That is, their work quantity ratio is 1:2. (Total 3 parts) In other words when Darnell does 1/3 of the work, Julius does 2/3 of the work.
When they work together, the work is completed in 4 hours. 4 hours work is the combined output of 1/3 by Darnell and 2/3 by Julius. If Julius was not there, Darnell would have to work for more than 4 hours.
We already know that Darnell does only 1/3 of a work during any given time. If the given time is 4 hours, how many one-thirds will Darnell require? To find the answer, divide the given number (4 hours in this case) by the given fraction( 1/3 in this case) To divide a number by a fraction, multiply the number by the reciprocal of the fraction. Thus it becomes 4 divided by 1/3 = 4 x 3/1 = 12.
(Another hint: At the rate of 1/3 of a work in one hour, Darnell will needs 3 hours to complete the given task. If the given work is 4 hours long, Darnell will take 4 x 3 hours, that is 12 hours.)</span>
Answer:
10x²+11-2x
Step-by-step explanation:
I hope you mean 7x²+8+5, not 7x²+8x+5.
We need to combine like terms. Anything with squared should be added together, et cetera.
(7x²+8+5)+(3x²-2x-2)
You can take out the parenthesis, because they don't matter in addition.
7x²+8+5+3x²-2x-2
Add the terms, step by step. Each bold pair needs to be added together.
7x²+8+5+3x²-2x-2
10x²+8+5-2x-2
10x²+11-2x
Now there's no more we can add together.
To solve this problem we must know that when any two lines intersect , a pair of opposite angles from the figure Will be equal
so that means that
we can subtract twenty from each side
now we can subtract like terms
so we can get the final answer as
Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
Answer:
5 + 7
Step-by-step explanation:
3 + 2 = 5, 4 + 3 = 7
