1 batch of muffins included 2/3 cups of raisins. We can use this to set a proportion: 1 : 2/3. That means for every 1 batch, she uses 2/3 cups of raisins.
Now, Ina made 2 1/2 batches. To find out how, we need to look at our proportion again: 1 : 2/3. Whatever operation you do to one side, you must do to the other. So, to get 2 1/2 batches, we need to multiply the left side of the proportion, which is 1 batch, by 2 1/2 to get 2 1/2 batches.
BUT, we also need to multiply the other side, 2/3 cups, by 2 1/2. We can start by converting this into an improper fraction, 5/2. (Because 1=2/2, so 2=4/2, and 4/2+1/2=5/2.) When multiplying fractions, you multiply the numerators together to get the new numerator, and the denominators to get the new denominator. 2*5=10, and 3*2=6. Our new fraction is 10/6. Since these are both divisible by 2, we simplify by dividing each side by 2 to get 5/3. Finally, we can convert this into a mixed number: 1 2/3. (Because 1=3/3 and 5/3 - 3/3 = 2/3, and 1 + 2/3 = 1 2/3.) This is the cups of raisins she used.
Answer: She used 1 2/3 cups of raisins.
<span>108 would be the length of the trim in inches so it would be over her max by 9 times the max length of her scarf
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The answer should be 3%.If I am wrong I am so sorry!!!!!!!!!!
Answer: T = 2π√(I/mgD)
Step-by-step explanation:
where:
m is the mass of the pendulum;
I is the moment of inertia of the mass; and
D is the distance from the center of mass to the point of suspension.
Determine the length of the pendulum. For example, it can be equal to 2 m.
Decide a value for the acceleration of gravity. We will use the Earthly figure of 9.80665 m/s², but feel free to check how the pendulum would behave on other planets.
Calculate the period of oscillations according to the formula above: T = 2π√(L/g) = 2π * √(2/9.80665) = 2.837 s.
Find the frequency as the reciprocal of the period: f = 1/T = 0.352 Hz.
You can also let this simple pendulum calculator perform all calculations for you!
