Answer:
12
Step-by-step explanation:
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
We know that:
x + y + z = 25 (total amount of bills)
x + 5y + 10z = 100 (total amount of money)
y = 4z (Given)
Substitute the third equation into the first one.
x + 4z + z = 25
x = 25 - 5z
Put this into the second equation.
(25 - 5z) + 5 (4z) + 10z = 100
Simplify and solve.
25 - 5z + 20z + 10z = 100
25z + 25 = 100
25z = 75
z = 3
Substitute this into y = 4z
y = 4 * 3
y = 12
So, there are 12 $5 bills.
It is 10.7703296143, but estimated it would be about 11. Hope I helped!! :)
Answer:
15
Step-by-step explanation:
x+5/36 = x/27
these are similar triangles
Answer: 25
Step-by-step explanation:
Both lines are being cut by the same transversal so to solve for x, make both equations equal to each other
2x+10 = 3x-15
To isolate x, do the inverse operations (for any side chosen)
Do the inverse operations to move -15 and isolate 3x
Add 15 to 10 (10+15=25)
You now have 2x+25=3x
Now, do the same to combine the x values together
25=3x-2x
You now have 25=1x
Divide by 1 on both sides
25=x
Answer:
A ∩ B = {2, 4}
Step-by-step explanation:
Definition: The intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B.
For example:
If x∈A and x∈B
then;
x∈ A ∩ B
Given the sets:
A = {1, 2, 3, 4, 5} and B = {2, 4}
We have to find A ∩ B.
By definition we have;
A ∩ B = {2, 4}
Therefore, the value of A ∩ B is, {2, 4}