D=2n: there are twice as many dimes as nickels.
n+d+q=52: a total of 52 coins, using d from above in this gives you:
n+2n+q=52 combine like terms on left side
3n+q=52 subtract 3n from both sides
q=52-3n
Then you are told that the coins have a total value of $6 which is equal to 600 cents. So we can say:
25q+10d+5n=600 divide all terms by 5
5q+2d+n=120, and from earlier we saw q=52-3n and d=2n so you have:
5(52-3n)+2(2n)+n=120 expanding...
260-15n+4n+n=120 combining like terms
260-10n=120 subtract 260 from both sides
-10n=-140 divide both sides by -10
n=14, since q=52-3n and d=2n
q=(52-3(14))=52-42=10
d=2(14)=28
So there are 10 quarters, 28 dimes, and 14 nickels or as your choices put it:
q=10, d=28, n=14 (the correct answer is d.)
Answer:
x = 16
Step-by-step explanation:
If the figure is a parallelogram, the opposite sides are the same length
3x+20 = 5x-12
Subtract 3x from each side
3x+20 -3x = 5x-12-3x
20 = 2x-12
Add 12 to each side
20+12 = 2x-12+12
32 = 2x
Divide each side by 2
32/2 = 2x/2
16 =x
Answer: Required system
x+y= 30
0.25x+0.05y=5.10
Jude has 18 quarters and 12 nickels.
Step-by-step explanation:
Let x= Number of quarters
y= Number of nickels
As per given,
x+y= 30 (i)
0.25x+0.05y=5.10 (ii) [1 quarter = $0.25 , 1 nickel = $0.05]
Multiply 0.25 on both sides of equation (i)
0.25x+0.25y= 7.5 (iii)
Eliminate (ii) from (iii) , we get
0.20y=2.4
⇒ y = 12 [divide both sides by 0.20]
Put value of y in (i\), we get
x+12=30
⇒ x= 30-12= 18
Hence, Jude has 18 quarters and 12 nickels.
7-(-3)=10
3-(-2)=5
M=10
—
5
M=2
Y=2x+1
Answer:
The appropriate solution is:
(1) 22.81 minutes
(2) 0.171
Step-by-step explanation:
According to the question, the values will be:
The service rate of guess will be:
= 
= 
The mean arrival rate will be:
The mean service rate will be:
(1)
The average time a cab must wait will be:
⇒ 
⇒ 
⇒ 
⇒ 
(2)
The required probability will be:
⇒ 
⇒ 
⇒ 
