Ok, so let
x = the money that Torrance intends to spend on his brother.
x + 10 = the money Torrance intends to spend on his sister
6 + 2(x + 10) = the money Torrance intends to spend on his mother
So Torrance has $100 to spend.
Let's use all of this information and set up an equation.
x + x + 10 + (6 + 2(x + 10)) = 100
2x + 10 + 6 + 2x + 20 = 100
4x + 36 = 100
-36 -36
______________
4x = 64
Divide 4 on both sides.
You get $16.
He intends to spend $16 on his brother.
Answer:
ez, multiply out the first part, to become and now simplify and add up similar terms to get :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Distance Formula:
Simply plug in the 2 coordinates into the formula to find distance <em>d</em>:
Answer:
C
Step-by-step explanation:
Well You can tell right away its a positive line since its rising from left to right so the answer has to be positive
If the slope were to be 4 the line would be a Little more titleted becuasea slope of 4 is going up 4 and going tot he right 1.
ANd you can’t heck from any given point and just try all the positivw possibilties.
Or you can just use rise over run, start form a point, rise which means go up until you reach the second layer of the line and just run (go To The right) until you hit a point.
You’ll get 1/4
Answer: 3,507ways
Step-by-step explanation:
Combination has to do with selection.
Since there are 7 women and nine men on the committee, in order to select a committee of five members of the department if at least one woman must be on the committee this means the number of women that must be part of the committee must be minimum of a woman.
Generally, to select r object from a total of n object is represented as nCr = n!/(n-r)!r!
Owing to that condition, the selection will done this way;
7C1 × 9C4 = 7×21 = 147ways (1 woman on the committee)
7C2 × 9C3 = 21 × 84 = 1764ways (2women on the committee
7C3 × 9C2 = 35× 36 = 1260ways (3women on the committee)
7C4 × 9C1 = 35 × 9 = 315ways (4women on the committee)
7C5 × 9C0 = 21 × 1 = 21ways (5women on the committee)
The total number of ways the committee can be formed is gotten by adding all individual selections i.e
147+1764+1260+315+21
= 3,507ways