Hey there!
The distributive property is defined as:
a(b+c) = ab+ac.
Since a is being multiplied by b and c, it's a common factor. In this situation, our common factor is 6, as it goes into 6x and 42. So, we have:
6(7 + x)
Hope this helps!
Using the combination formula, it is found that 15,876 teams would include Julia.
The order in which the people are chosen to the team is not important, hence the combination formula is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem:
- 5 men are chosen from a set of 9.
- 4 women are chosen from a set of 9(as Julia is already on the team).
Hence the number of teams is given by:
More can be learned about the combination formula at brainly.com/question/25821700
#SPJ1
Parallel = same slope
Y = 5x + b
8 = 5(5) + b
8 = 25 + b
b = -17
Equation: y = 5x - 17
New perimeter is 4040-2424= 1616
original, let x and y be length and width
2x + 2y = 4040
new
2x/2 +2y/3 = 1616
x +2y/3 = 1616
x = 1616 - 2y/3
sub this x value into first eq
2(1616-2y/3) + 2y = 4040
3232 - 4y/3 + 2 = 4040
put like terms together
-4y/3+2y=4040-3232
2y/3=808
multiply both sides by 3
2y = 2424
divide both sides by 2
y=1212
sub this y value into any eq. i chose eq 1
2x+2(1212)= 4040
2x = 4040 - 2(1212)
2x = 1616
x = 808
so the length is 808 and the width is 1212
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
