Answer:
Parallel
Step-by-step explanation:
Parallel lines have the same slope but different y-intercepts. If you multiply the top equation by 2, you get:
2(12x + 4y = 16)
24x + 8y = 32
This shows that both lines have the same slope, but then you find the y-intercepts, they are different:
1st equation y-int = 4
2nd equation y-int = 9/2 or 4.5
Total number of coins in question = 275
Number of quarters among the total coins = 120
Then
Remaining number of coins = 275 - 120
= 155
Percentage of coins that are nickel = 20%
Then
Number of coins that are nickel = (20/100) * 155
= 155/5
= 31
Remaining number of coins = 155 - 31
= 124
Ratio of dimes to pennies = 1:3
Let us assume the common ratio to be = x
Then
x + 3x = 124
4x = 124
x = 124/4
= 31
So
The number of pennies = 3 * 31
= 93
From the above deduction we can conclude that there are 93 pennies. The correct option among all the options given in the question is option "C".
Answer:12
Step-by-step explanation:Add 12 and 12 and you get 24.Subtract 36 from 24 because the total number is 36.So 36 -24 is 12.So 12 is your answer!
Answer:
Jim's hose: 27 hours.
Bob's hose: 21.6 hours.
Step-by-step explanation:
Let t represent hours taken by Jim's hose.
Part of pool filled by Jim's hose in 1 hour would be
.
We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is
.
Part of pool filled by Bob's hose in 1 hour would be
.
We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be
.
Now, we will add rates of both hoses and equate with
as:




Cross multiply:




Therefore, it will take 27 hours for Jim's hose to fill the pool alone.
Time take by Jim's hose alone:
.
Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.
Answer:
- (Parentheses) P.E.M.D.A.S
- Exponents(^)
- Multiply(X)
- Division(/)
- Addition(+)
- Subtraction(-)
Step-by-step explanation:
First simplify (20/4-2+1)=
9+5x2(4)=
then simplify again
14x8=112
simplify one more time and you get your answer.
122 is your answer.
So to answer the real question start with parentheses first then work and simplify the equation.
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