Answer:
Jason has $58.20 and Jeff has $13.80.
Step-by-step explanation:
Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.
We know that together they have $72. So, we can write the following equation:
We know that Jason has three <em>more</em> than four <em>times</em> the amount of money Jeff has. So:
This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:
Combine like terms:
Subtract 3 from both sides:
Divide both sides by 5:
So, Jeff has $13.80
We know that Jason has three more than four times the amount of money Jeff has.
Therefore, Jason has:
Multiply and add:
So, Jason has $58.20 and Jeff has $13.80.
And we're done!
Given:
The given expression is
To find:
The two other equivalent expressions.
Solution:
We have,
Using distributive property, we get
So, one equivalent expression is 
.
On further simplification, we get
Therefore, the second and fully simplified equivalent expression is 
.
Answer:
113.
Step-by-step explanation:
119 is divisible by 7.
117 is divisible by 3.
I think it's 113.
If you use your calculator to divide 113 by odd numbers up to 57 you can check if it is prime. You stop at 57 because 57*2 = 114. You need not divide by any number ending in 5 because 113 ends in 3.
I have done this and can't find a quotient that is a whole number so it must be prime (unless I've made a mistake!).
Answer:
D
Step-by-step explanation:
F(1)=7
G(f(1)= g(7)= 49-1=48
Answer:
20
Step-by-step explanation:
n(A) only =15-4=11
n(B) only=9-4=5
n(A n B)=4
n(A U B)=11+5+4=20
