Answer:
x = 30
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx = 
= 
= 
, then
x = 
( ) = 30
Divide
8/1 / 2/3
Keep change flip
8/1 x 3/2
Simplify
4/1 x 3/1
12/1
He can make 12 2/3 ounce peanuts with 8 ounces of peanuts.
Answer:
1,2,4,7,8,14,16,28,56,112
Step-by-step explanation:
12 is a composite number. 112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14
Answer:
(-4, -2)
Step-by-step explanation:
A = (-1, 2)
Add (-3, -4) to that and you get ...
A' = (-1-3, 2-4) = (-4, -2) . . . . matches the last choice
__
The translation function has the effect of moving the point left 3 and down 4. You can count grid squares on the graph to see that A' ends up at (-4, -2).
Answer:
20 batches
Step-by-step explanation:
Cups of sugar in a bag = 15
Cups of sugar per batch of cookie = 3/4 cup
Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1
what's the greatest number of batches of cookies that can be made with the bag of sugar
Let
x = batches of cookies made with a bag of sugar
Cups of sugar per batch of cookie : batch of cookies = 15 : x
Equate the ratios
3/4 : 1 = 15 : x
3/4 ÷ 1 = 15/x
3/4 × 1/1 = 15/x
3/4 = 15/x
Cross product
3 * x = 4 * 15
3x = 60
x = 60/3
x = 20
x = batches of cookies made with a bag of sugar = 20 batches
