Answer:
x = 20
Step-by-step explanation:
To solve this problem we first observe the Pythagoras equation. If a= 16 and b=12 are the lengths of the legs of a right triangle and c=x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
This relationship is represented by the formula: a*a + b*b = c*c
= x
Answer:
For each part, find how many numbers have the stated characteristic, then divide by 21.
e.g. multiples of 5:
these would be 10, 15, 20, 25, and 30
so prob (a multiple of 5 ) = 5/21
Do the others the same way
Answer:
9 hours
Step-by-step explanation:
Set up the equations: x is the amount of hours Amber worked and y is the hours Jake worked
8x + 8y = 120
y = 3 + x
Substitute the second equation into the first
8x + 8(3+x) = 120
Distribute
8x + 24 + 8x = 120
Combine like-terms
16x + 24 = 120
Subtract 24 on both sides
16x = 96
Divide 16 on both sides
x = 6 (hours Amber worked)
Plug in this x-value into on of the two equations. I will use the second
y = 3 + 6
y = 9
Step-by-step explanation:
Collect like terms and simplify
[tex] -10n+30n=-36-24 \\ 20n = -60 [/tex]
Divide both sides of the equation by 20
[tex] 20n/20 = -60/20 \\ n=-3 [/tex]
Answer:
Step-by-step explanation:
Given:
Let's distribute the parenthesis
Let's subtract 
from both sides
Let's add to both sides
Now, let's divide both sides by 
to get 
alone
Hope this is helpful
