A collection of nickels and dimes is worth $4.40. There are 53 coins in all. How many nickels are there?
Nickel is a US coin worth 5 cents or 0.05.
Dime is a US coin worth 10 cents or 0.10
n + d = 53
0.05n + 0.10d = 4.40
n = 53 - d
0.05(53 - d) + 0.10d = 4.40
2.65 - 0.05d + 0.10d = 4.40
0.05d = 4.40 - 2.65
0.05d = 1.75
d = 1.75 / 0.05
d = 35
n = 53 - d
n = 53 - 35
n = 18
There are 18 nickels and 35 dimes.
0.05n + 0.10d = 4.40
0.05(18) + 0.10(35) = 4.40
0.90 + 3.5 = 4.40
4.40 = 4.40
Answer: 17302
Explanation: This problem requires PEMDAS.
Step 1: Parentheses
(4+3^3) = (4+27) = 31
Step 2: Exponents
31^2 = 961
Step 3: Multiplication
3x6= 18
18x961=17298
Step 4: Addition
17298 + 4 = 17302
X=15
expand the brackets and collect like terms so 6x+15=7x
then -6x to get x=15
Answer:
Aha..our nemesis problem. :)
The area is 129.90 ft ^2.
Step-by-step explanation:
First, use a 30-60-90 triagle to find the apothem.
That is the area of 1 triangle. There are 6 of them in a hexagon, so multiply that number by 6:
21.65*6=129.90 ft ^2
Have a great day!
Answer:
Y=0.1(1.25)^t is growth. Y=426(0.98)^t is decay. Y=100(1-1/2)^t is decay. Y=((1-0.03) 1/2) ^2t is decay. And y=2050(1/2)^t is decay. Hope this helps!
Step-by-step explanation:
