Answer: There are 97 nickels and 108 quarters.
Step-by-step explanation:
Let x = Number of nickels, y = Number of quarters.
As per given,
x+y = 205 ...(i)
0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]
Multiply (ii) by 20, we get
x+5y=637 ...(iii)
Eliminate (i) from (iii)
4y = 432
⇒ y = 108 [Divide both sides by 4]
Put value of y in (i), we get
Hence, there are 97 nickels and 108 quarters.
Step-by-step explanation:
1. when x is 0
y will be
4x+2y=10
4(0)+2y=10
0+2y=10
collect like terms
2y=10-0
2y=10
divide both sides by 2
2y/2=10/2
y=5
so when x =0 y will equal to 5
2. when x is 1
y will be
4x+2y=10
4(1)+2y=10
4+2y=10
collect like terms
2y=10-4
2y=6
divide both sides by two
2y/2=6/2
y=3
so when x is 1, y is 3
3. when x is 2
4x+2y=10
4(2)+2y=10
8+2y=10
(CLT) 2y=10-8
2y =2
y= 1
Answer:
Step-by-step explanation:
Given
Required
Determine the difference between the points
The difference is calculated as follows:
Answer:
I=PRT 9.5% in decimal form is .095=11 times rate times tax but we don't know what the tax is.
Answer:
<em>80.7 ft/sec</em>
Step-by-step explanation:
You need two conversion factors:
1 mile = 5280 ft, so (52780 ft)/(1 mile) = 1
1 hour = 3600 seconds, so (1 hour)/(3600 seconds) = 1
55 mi/hour * (5280 ft)/(1 mile) * (1 hour)/(3600 seconds) = 80.6666... ft/sec
Answer: 80.7 ft/sec