Okay. 3/4 of a cup of maple syrup is filled in 1/2 an hour. We can divide fractions to find the rate that the tree runs out syrup. To divide fractions, keep the first fraction the same, change multiplication into division, and flip the second fraction over. It would look like this: 3/4 * 2/1. 3/4 * 2/1 is 6/4 or 1 1/2 in mixed number form. Syrup flows from the tree at 1 1/2 cups per hour.
Answer: 5/6 ÷ 5/12 = 5/6 x [12]/[5] = [60]/30 =2
Step-by-step explanation:
The key to this is knowing that when you divide anything by a fraction, it is the same as multiplying by the reciprocal of the fraction, or the flipped version. In this case, we are given 5/6 divided by 5/12, which equals 5/6 x12/5. Then you can so normal fraction multiplication to get 60/30, which is 2.
Answer:
Shop B
Step-by-step explanation:
Hi there!
To solve this question, we can find the new prices of each oven and identify which one is cheaper.
<u>Shop A</u>
Usual price: $190
Discount: 15%
First, we must subtract the discount percent from 100:
100 - 15 = 85
Therefore, the new price of the product will be 85% of the original price. Find 85% of $190:
190 × 0.85
Therefore, the new price is $161.50.
<u>Shop B</u>
Usual price: $200
Discount: 20%
Again, subtract 20 from 100:
100 - 20 = 80
This means that the new price of the oven is 80% of the original price:
200 × 0.8 = 160
Therefore, the new price is $160.
Because a $160 oven is cheaper than a $161.50 oven, Shop B sells the oven at a lower price.
I hope this helps!
Let the unknown angle be x.
That is
sin x = 4/5
cos x = 3/5
By drawing a right triangle in the first quadrant,
hypotenuse = 5
Adjacent side = 3
opposite side = 4
That is tan x = 4/3
From the calculator,
x = arctan(4/3) = 53 deg (nearest integer)
Answer: 53 deg. (nearest integer)
