Answer:
6,28
Step-by-step explanation:
NOT NEEDED FOR THIS QUESTION
Answer:
sqrt(360)
Step-by-step explanation:
sqrt(360)=sqrt(36*10)=sqrt(36)*sqrt(10)=6*sqrt(10)
Answer:
Step-by-step explanation:
Profit, P(x), is the difference between revenue, R(x), and cost, C(x)
R(x) = 2x^4 - 3x^3 + 2x - 1
C(x) = x^4 -x^2 + 2x + 3
Substituting into the equation
P(x) = R(x) - C(x)
= (2x^4 - 3x^3 + 2x - 1) - (x^4 -x^2 + 2x + 3)
= x^4 - 3x^3 + x^2 - 4
The answer is the lower left option.
Answer:
<em>0 $20 bills and 10 $5 bills</em>
<em>1 $20 bills and 6 $5 bills</em>
<em>2 $20 bills and 2 $5 bills</em>
Step-by-step explanation:
<u>Equations</u>
Let's set:
x=number of $5 bills
y=number of $20 bills
The total amount Sara has is given by
5x+20y
And we know it's equal to $50, thus:
5x+20y=50
Dividing by 5
x+4y=10
We would need another condition to solve for x and y, but we can determine some combinations that solve the problem.
Solving for x:
x=10-4y
Since both x and y are integers and cannot be negative:
10-4y≥0
Swapping sides:
4y≤10
Dividing by 4:
y≤2.5
Thus, y can only have the values {0,1,2}
For y=0
x=10-4*0=10
x=10
For y=1
x=10-4*1=6
x=6
For y=2
x=10-4*2=2
x=2
Thus, the possible combinations are:
0 $20 bills and 10 $5 bills
1 $20 bills and 6 $5 bills
2 $20 bills and 2 $5 bills
Answer:
This problem has two possible solutions.
2232
7236
Step-by-step explanation:
To be divisible by 72, a number has:
To be divisible by both 8 and 9 at the same time.
It is divisible by 8 if it's last two digits are divisible by 4.
It is divisible by 9 it the sum of it's digits is a number divisible by 9.
a23b
3b must be divisible by 4. In the thirties, the numbers that are divisible by 4 are 32 and 36. So b = 2 or b = 6.
a232
2 + 3 + 2 = 7
The higest possible value of a is 9 and the lowest is 1.
Between 8 and 16, only 9 is divisible by 9. So a = 2.
a = 2, b = 2 is one of the solutions.
a236
2 + 3 + 6 = 11
The higest possible value of a is 9 and the lowest is 1.
Between 12 and 20, only 18 is divisible by 9. So we need a = 7
