Let P = number of coins of pennies (1 penny = 1 cent)
Let N = number of coins of nickels (1 nickel = 5 cents)
Let D = number of coins of dimes (1 dime = 10 cents)
Let Q = number of coins of quarters (1 quarter = 25 cents)
a) P + N + D + Q = 284 coins, but P = 173 coins, then:
173 + N + D + Q =284 coins
(1) N + D + Q = 111 coins
b) D = N + 5 OR D - N =5 coins
(2) D - N = 5 coins
c) Let's find the VALUE in CENTS of (1) that is N + D + Q = 111 coins
5N + 10D + 25 Q = 2,278 - 173 (1 PENNY)
(3) 5N + 10D + 25Q = 2105 cents
Now we have 3 equation with 3 variables:
(1) N + D + Q = 111 coins
(2) D - N = 5 coins
(3) 5N + 10D + 25Q = 2105 cents
Solving it gives:
17 coins N ( x 5 = 85 cents)
22 coins D ( x 10 = 220 cents)
72 coins D ( x 25 = 1,800 cents)
and 173 P,
proof:
that makes a total of 85+2201800+172 =2,278 c or $22.78
Answer:
1) = 0.175
2) = 0.244
3) = 0.168
Step-by-step explanation:
Experimental, not theoretical, so we use the results table.
1. P(3 n Tails) = 62/(53 + 65 + 49 + 71 + 54 + 62) = 0.175
2. P(Woman n Up) = 39/(36 + 43 + 39 + 42) = 0.244
3. P(Tuna n Wheat Bread) = 23/(22 + 24 + 21 + 22 + 25 + 23) = 0.168
Answer
1 7/10
Step-by-step explanation:
(3 2/5)(1/2)=17/5=1 7/10
Answer:
50 =x
Step-by-step explanation:
The two angles are vertical angles, so they are equal
2 (x+10) = 3x-30
Distribute the 2
2x+20 = 3x-30
Subtract 2x from each side
2x-2x+20 = 3x-2x-30
20 = x-30
Add 30 to each side
20+30 = x-30+30
50 =x
