Answer:
Step-by-step explanation:
We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is
n + q = 53
The VALUE equation relates how much each coin is worth to the total amount of money it equals:
.05n + .25q = 5.65.
Go back to the first equation and solve it for either n or q. I solved it for n:
n = 53 - q
Plug this into the second equation in place of n now to get:
.05(53 - q) + .25q = 5.65 and
2.65- .05q + .25q = 5.65 and
.20q = 3 so
q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are
n + 15 = 53 nickels and
n = 38 nickels.
Step-by-step explanation:
2vt= (ht²/2) - 2c - r
v= ((ht²/2) -2c -r) / 2t
v= ht/4 - c/t - r/2t
The cost will be same for one session. The cost will be $128.
Step-by-step explanation:
Given,
Initial consultation charges for Plan One = $36
Per session fee = $92
Let,
x be the number of sessions.
O(x) = 92x+36
Initial consultation charges for Plan Two = $86
Per session fee = $42
T(x) = 42x+86
For same cost;
O(x) = T(x)

Dividing both sides by 50

Putting x=1 in T(x)

Putting x=1 in O(x)

The cost will be same for one session. The cost will be $128.
Keywords: function, division
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Answer:
N, P
Step-by-step explanation:
The answer is N, and P.
Use a² + b² = c², where "a" and "b" are the smallest two numbers, and "c" is the biggest number.
So testing each:
(a) Yes, a right triangle.
(b) Yes, a right triangle.
(c) Not a right triangle.
(d) Yes, a right triangle.
(e) Yes, a right triangle. (The two smallest sides are √11 and √38)
(f) Not a right triangle.