Answer:
its B because
Step-by-step explanation:
Simplifying
41n(7x) = 8
Remove parenthesis around (7x)
41n * 7x = 8
Reorder the terms for easier multiplication:
41 * 7n * x = 8
Multiply 41 * 7
287n * x = 8
Multiply n * x
287nx = 8
Solving
287nx = 8
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Divide each side by '287x'.
n = 0.02787456446x-1
Simplifying
n = 0.02787456446x-1
Volume = length x width x height.
if the width has to be a whole number no more than 5 then the only options for the width is 1, 2, 3, 4, or 5.
V=5x1x2
V=10
V=5x2x2
V=20
V=5x3x2
V=30
V=5x4x2
V=40
V=5x5x2
V=50
the possible volumes are as follows: 10, 20, 30, 40, and 50.
make sure in your answer that you label your volumes so you write ft^3 after every volume answer.
If 5/6 gallons covers a quarter of the house, then you would need 4 times as much paint:
Which is 20/6 gallons or 3 and 1/3 gallons
Hope this helped
Answer: 3.4 h
Explanation:
1) The basis to solve this kind of problems is that the speed of working together is equal to the sum of the individual speeds.
This is: speed of doing the project together = speed of Cody working alone + speed of Kaitlyin working alone.
2) Speed of Cody
Cody can complete the project in 8 hours => 1 project / 8 h
3) Speed of Kaitlyn
Kaitlyn can complete the project in 6 houres => 1 project / 6 h
4) Speed working together:
1 / 8 + 1 / 6 = [6 + 8] / (6*8 = 14 / 48 = 7 / 24
7/24 is the velocity or working together meaning that they can complete 7 projects in 24 hours.
Then, the time to complete the entire project is the inverse: 24 hours / 7 projects ≈ 3.4 hours / project.Meaning 3.4 hours to complete the project.
Answer:
<D = 100
<E =30
<F =50
Step-by-step explanation
Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e
<A = <D
<B = <E
<C = <F
Given
<A = 100 then <D = 100
<B = 30°, then <E = 30°
To get <F, we will use the expression
<D+<E+<F = 180 (sum of angles in a triangle is 180°)
100+30+<F = 180
130+<F = 180
<F = 180-130
<F = 50°
Hence the measure of <F is 50°