Cost of one pretzel is $2.5 and cost of one ice cream is $4.5
Step-by-step explanation:
Let,
Cost of pretzel = x
Cost of ice cream = y
According to given statement;
the cost of a pretzel is $2 less than the cost of some ice cream.
x = y - 2 Eqn 1
five ice creams cost the same as nine pretzels.
9x = 5y Eqn 2
Putting value of x from Eqn 1 in Eqn 2
Dividing both sides by 4
Putting y=4.5 in Eqn 1
Cost of one pretzel is $2.5 and cost of one ice cream is $4.5
Keywords: linear equation, substitution method
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120$
you set up a proportion, multiplying the $10.20 by 100 then divide by 8.5
Answer:
1) 6
2) Ron is 12 and his. father is 36
3) Duke is 50 and Mae is 10 years old
Answer:
18
Step-by-step explanation:
Since f '(x) ≥ 3, that means for every x, it can increase by 3 or greater. If we want to find the smallest f(5), we have to use the smallest rate of change possible, which is just 3.
Then, we have to find how many times x changes. Since we are going from 3 to 5, that means x changes 2 times. (5 - 3 = 2)
Now we multiply the rate of change (3) by the number of x changes.
3 x 2 = 6
We then add that to 12 since that is the number we started with
12 + 6 = 18
Answer:
720.85 cm3
Step-by-step explanation:
As the cylinders are similar, the ratio of their diameters is the same ratio of their heights, so we have that:
d1 /d2 = h1 / h2
If the volume of the larger cylinder is 9600 cm3, we can find its height:
V = pi*r^2 * h
9600 = pi * 32^2 * h
h = 9600 / (pi * 32^2) = 2.9842 cm
Now we find h2:
64 / 27 = 2.9842 / h2
h2 = 27 * 2.9842 / 64 = 1.259 cm
Finally, we can find the volume of the smaller cylinder:
V = pi * r^2 * h
V = pi * 13.5^2 * 1.259 = 720.85 cm3