Let the number of nickels found be n, the number of dimes be d and the number of quarters be q.
i) "you have twice as many quarters as dimes and 42 coins in all."
means that 2d=q, and n+d+q=42
we can reduce the number of unknowns by substituting q with 2d:
n+d+q=42
n+d+2d=42
n+3d=42
We can write all n, d and q in terms of d as follows:
there are n=42-3d nickels, d dimes and q=2d quarters.
ii) In total there are $6.60 dollars,
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
1 quarter = 25 cent = $0.25
thus
(42-3d)*0.05 + d*0.1 +2d*0.25= $6.60
2.1 - 0.15d+0.1d+0.5d=6.60
2.1+0.45d=6.6
0.45d=6.6-2.1=4.5
d=4.5/0.45=10
iii)
so, there are 10 dimes, 2d=2*10=20 quarters and 42-3d=42-3*10=12 nickels.
Answer: 10 dimes, 20 quarters, 12 nickels
Hello from MrBillDoesMath!
Answer:
z = 28 (y/x)
Discussion:
"
z varies inversely with x and directly with y" translates into
z = k * (y/x) (*)
Substituting x = 2, y = 3, z = 42 in (*) gives
42 = k (3/2) => multiply both sides by 2/3
42 (2/3) = k (3/2)(2/3) => 42(2/3) = 28; (3/2)(2/3) = 1
28 = k
Conclusion:
z = 28 (y/x)
Thank you,
MrB
Answer:
15:49
Step-by-step explanation:
15 : 10+12+5+22
15 : 49
Can't be simplified further.
Answer:
a. 36.25 ft
b. 45 ft
Step-by-step explanation:
GIVE YOUR ANSWER IN FEET !!! as the problem statement says.
not in inches. when you use the scale factor with inches, you get inches as result. then you need to convert them to feet.
how many inches in 1 ft ?
12 !
so, you need to divide your results by 12 to get the feet.
