Answer:
The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12
Step-by-step explanation:
Given as :
The net worth of nickels and dimes = $ 1.90
The total number of nickles and dimes altogether = 25
Let The number of nickles that Sofia has = n
And The number of dimes that Sofia has = d
Now,
Since The value of 1 nickle = dollar
And The value of 1 dimes = dollar
So, According to question
n + d = 25 ..........1
And $ × n + $ × d = $ 1.90
Or, n + 2 d = 38 .....2
Solving Eq 1 and 2
∵ n + 2 d = 38
or, 25 - d + 2 d = 38
or, d = 38 - 25
∴ d = 13
So, The number of dimes she has = 13
And the number of nickles = n = 25 - 13
∴ n = 12
Hence The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12 Answer
Answer:
<em>72 passenger planes</em>
Step-by-step explanation:
ratio passenger to cargo = 8 to 5 = 8/5
Let p = number of passenger planes.
The ratio of passenger to cargo planes that actually landed is p/45.
The ratio in general is 8/5, so 8/5 must equal p/45.
p/45 = 8/5
5p = 45 * 8
p = 9 * 8
p = 72
Y would be 18 because 260 * .2 = 52, so 90 * .2 = 18.
Y=mx+b, where m is the slope and b is the y-intercept, we are told m=-1/2 so
y=-x/2+b, using point (-6,2) we can solve for b
2=-(-6)/2+b
2=3+b
b=-1 so the line is:
y=-x/2-1 or more neatly:
y=(-x-2)/2
Explanation:
Addition of fractions can be accomplished using the formula ...
a/b + c/d = (ad +bc)/(bd)
Usually, you are asked to find the common denominator and rewrite the fractions using that denominator. It is not necessary, but it can save a step in the reduction of the final result. Here, we'll use the formula, then reduce the result to lowest terms.
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13. 5/6 +9/11 = (5·11 +6·9)/(6·11) = 109/66 = 1 43/66
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14. 7/20 -5/8 = (7·8 -20·5)/(20·8) = -44/160 = -11/40
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15. 1/5 -1/12 = (1·12 -5·1)/(5·12) = 7/60
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Dividing fractions can be accomplished different ways. I was taught to multiply by the inverse of the divisor. ("Invert and multiply.") Here, that means the problem (2/7) / (1/13) can be rewritten as ...
(2/7) × (13/1) . . . . . where 13/1 is the inverse of 1/13.
You can also express the fractions over a common denominator. In that case, the quotient is the ratio of the numerators. Perhaps a little less obvious is that you can express the fractions using a common numerator. Then the quotient is the inverse of the ratio of the denominators: (2/7) / (2/26) = 26/7. (You can see how this works if you "invert and multiply" the fractions with common numerators. Those numerators cancel.)
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16. (2/7)/(1/13) = 2/7·13/1 = 26/7 = 3 5/7