Answer:
125
Step-by-step explanation:
Answer:
720
Step-by-step explanation:
nPk = n!/(n-k)!
10P3 = 10!/(10-3)! = 10!/7!
= 10·9·8 = 720
Answer:
70 yd.
Step-by-step explanation:
The three streets at the intersection form a right triangle.
For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

where
x is the length of the 1st side
y is the length of the 2nd side
h is the length of the hypothenuse
Here we want to find the hypothenuse.
We have:
x = 42 yd (length of the 1st side)
y = 56 yd (length of the 2nd side)
Substituting, we find h:

Answer:
She needs to pay $20 more.
Step-by-step explanation:
Mothers payment: $360 divided by 2 = $190 left for Brenda
Brenda + discount payments: $190 - $140 = $50
$50 - $30 discount = $20
Answer:
x =5
Step-by-step explanation:
We can use ratios for the side lengths
9 x
--------- = -----------
9+18 x+10
Using cross products
9 (x+10) = x * (9+18)
Distribute
9x+90 = x*27
9x+90 = 27x
Subtract 9x from each side
9x-9x+90 = 27x-9x
90 = 18x
Divide each side by 18
90/18 = 18x/18
5 =x