Answer:
Lizzy's recipe is not a proportional relationship with the brownie recipe because of the difference in ratio.
Step-by-step explanation:
Brownie recipe:
Cocoa powder = 3 parts
Flour = 2 parts
Ratio of cocoa powder to flour = 3 : 2
Lizzy's recipe:
Cocoa powder = 1 cup
Flour = 1 cup
Ratio of cocoa powder to flour = 1 : 1
Answer:
Step-by-step explanation:
–5 × 0.75 × 20 could be rewritten (applying the associative property) as –5 × (0.75 × 20). I chose this configuration because 0.75 * 20 is 15. Next, evaluate -5(15). This is -75. This matches Answer D.
Answer:

Step-by-step explanation:
We are asked to find x, a missing side in a triangle.
This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:
- sinθ= opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

- θ= 54
- opposite= x
- hypotenuse = 2.3

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3




Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

x is approximately <u>1.9</u>
Answer: The smaller piece is 750m long.
Step-by-step explanation:
let the smaller piece be x
so
150m + x + x = 1650
150 + 2x = 1650
or, 2x = 1500
so, x = 750 m