First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!
Explanation:
We assume the problem statement is telling us that the order of points on segment QR is Q, A, B, R, and that QA = AB = BR. This means that
QB = QA +AB = 2BR
BR = 1/2(QB)
The area of the triangles will be ...
A = 1/2bh
For triangle PQB, the area is ...
ar(PQB) = 1/2(QB)h . . . . . h is the perpendicular distance from QR to P
For triangle PBR, the area is ...
ar(PBR) = 1/2(BR)h = 1/2(1/2QB)h . . . . h is the same as above
ar(PBR) = 1/2ar(PQB)
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Essentially, you're showing the base of the smaller triangle is 1/2 the base of the larger one and using that to show the area of the smaller triangle is 1/2 the area of the larger one. (Both have the same height.)
The function is
f(x) = 12/(4x+2)
Note the use of parenthesis to indicate that 12 is dividing over all of "4x+2"
Plug in x = -1 and use PEMDAS to simplify
f(x) = 12/(4x+2)
f(-1) = 12/(4(-1)+2) ... every x is replaced with -1
f(-1) = 12/(-4+2)
f(-1) = 12/(-2)
f(-1) = -6
Answer: -6
Answer:
I think the answer is $51.30
I hope this helps :)
I think the answer is A or B