Answer:
The ratio of flour to sugar is 2:1
Step-by-step explanation:
Let f = weight of a bag of flour
Let s = weight of a bag of sugar
3f+2s = 32
4f = 32
We have 2 equations and 2 unknowns, we can solve
4f=32
Divide by 4
4f/4 = 32/4
f = 8
Each bag of flour weights 8 pounds
Substitute this back into the first equation
3(8) +2s = 32
24+2s = 32
Subtract 24 from each side
24-24 +2s =32-24
2s = 8
Divide by 2
2s/2 = 8/2
s = 4 pounds
Flours weighs 8 pounds and sugar weights 4 pounds
We want the ratio of flour to sugar
Flour: sugar
8:4
We can divide each side by 4
8/4: 4/4
2:1
The steps and final answer is shown in the attached image. I wrote it there so I could write out complex algebraic formulas. Let me know if you have any questions about any of the steps. Thank you.
Answer: See explanation
Step-by-step explanation:
Total number of text messages = 800
Amount used by Tommy and Mary = 1/2 × 800 = 400
Number of messages uses by Jack and Stefanie = 240
The expression to find the number of messages Cathy uses will be:
= 800 - (1/2 × 800) - 240
Since the expression is 800 - (1/2 × 800) - 240, the number of messages that Cathy will use will be:
= 800 - (1/2 × 800) - 240
= 800 - 400 - 240
= 160 messages
20
Formula for perimeter: length x 2 + width x 2
70x2 is 140 then subtract it from 180 and you’ll get 40, then you half it and get 20
