The first step is:
- determine how far from the house is young equestrian at noon.
2 x 10 = 20 miles
15 t = 20 + 10 t
15 t - 10 t = 20
5 t = 20
t = 20 : 5
t = 4 hours
Answer: at 4:00 PM.
Answer:
The answer to your questions are:
15.- 45 mg
16.- 25 kg
17.- 185 pounds
18.- 6 mg
Step-by-step explanation:
D = (a M) / (a + 12)
15.-
a = 4 years
M = 180
D = (4 x 180) / (4 + 12) = 720 / 16
D = 45 mg
16.- 1 pound --------------- 0.4535 kg
55 pounds ------------ x
x = 55 x 0.4535 / 1
x = 24.94 ≈25 kg
17.- 1 pound --------------- 0.4535 kg
x --------------- 84.09 kg
x = 84.09x 1 /0.4535
x = 185.42 pounds
18.- M = 18 mg what is 1/3 of the adult dose?
M = 18/3 = 6 mg
We know that
The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange
in this problem
n=15 students
r=4 students
C=15!/[(15-4)!*4!]-----> C=15!/[11!*4!]---> (15*14*13*12*11!)/(11!*4*3*2*1)
C=(15*14*13*12)/(24)----->C=1365
the answer is
1365
ANSWER
EXPLANATION
The given polynomials are:
and
We want to subtract these two polynomials.
Expand the right hand side to obtain:
Group the similar terms:
Combine the similar terms to get:
Answer:
6
Step-by-step explanation:
Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:
120/(n+24) = (120/n) -16
Multiplying by n(n+24) gives ...
120n = 120(n+24) -16(n)(n+24)
0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms
n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller
(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic
The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.
The woman bought 6 items.
_____
Check
When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.
