Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)!
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with
=10*9*8*7
=5040
2.using the formula for combination
nCr=n!/(n-r)!r!
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
Answer:
x=−3/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
435=−4x+285
Step 2: Flip the equation.
−4x+285=435
Step 3: Subtract 28/5 from both sides.
−4x+285−285=435−285
−4x=3
Step 4: Divide both sides by -4.
−4x−4=3−4
x=−34
Answer:
9 < √88 < 10
Second one
Step-by-step explanation:
√81 = 9
√100 = 10
√88 is between √81 and √100
so
√81 < √88 < √100
or
9 < √88 < 10
Solution
Find the y-intercept for following equation:

Using the slope equation formular:

The value of y when x = 0

Hence the answer is - 1
Answer:
D. 150 pounds
Step-by-step explanation:
For be directly proportional, it has to be that as one value increases the other does it equally, so
If 138 pound box has a volume of 23 gallons for 25 gallons ?. For being directly proportional tha value must be higest
138 → 23 
x → 25