Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.
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
I'm going to assume you mean 3 to the power negative 5.
3^-5
Use rule [ x^-y = 1/x^y ]
3^-5 = 1/3^5 = 1/243
Best of Luck!
If it's a perfectly rectangle frame with W = 50 cm & L= 90 cm
So the right diagonal should be √(50² +90²) = √10600 =102.96 cm
as per the calculation the diagonal should have a length of 102.96 cm, but the boss found 100 cm, that means their should be a frame which diagonal equal to 100 cm, short by 2.96 cm, that means short by 2.96/2 = 1.48 cm from the bottom & 1.48 cm from the top (same as well as for the 2nd diagonal)
In this case the boss should be happy
Answer:
28.26 in
Step-by-step explanation:
Radius = (1/2) diameter
Radius = (1/2)(9)
Radius = 4.5 in
Circumference = 2πr
Circumference = 2(3.14)(4.5)
Circumference = 28.26 in
