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The formula of the circumference of a circle is:
C = 2 * π * r
Since r is not given, I will use all choices to find the radius. Whatever circumference corresponds to the correct radius of the problem, then it is the correct one.
a) 22.0 cm = 2 * 3.14 * r ⇒ r = 22.0 cm / 6.28 ⇒ r = 3.50 cm
b) 69.1 cm = 2 * 3.14 * r ⇒ r = 69.1 cm / 6.28 ⇒ r = 11.00 cm
c) 34.5 cm = 2 * 3.14 * r ⇒ r = 34.5 cm / 6.28 ⇒ r = 5.49 cm
d) 17.3 cm = 2 * 3.14 * r ⇒ r = 17.3 cm / 6.28 ⇒ r = 2.75 cm
There are 16 ounces in a pound, so 8 ounces would be half a pound (0.5 lb)
Answer:
So let us call the shorter side, i.e the width: 'x'
So each length is four times the width = 4x
The perimeter consists of two widths and two lengths and equals 50 inches.
So:
x+x+4x+4x=50
solve for x:
10x = 50
to find x divide both sides by 10:
10x/10 = 50/10
x=5
So width equals 5 in and length is four times this i.e. 4x5=20
To check: 5+5+20+20=50 !!!!
Step-by-step explanation:
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Answer:
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$
Step-by-step explanation: