What is a equivalent expression to 4(x+12)-3y
1 answer:
You might be interested in
Answer:
B- For an equal number of servings, the bananas will have three times as much sugar
Step-by-step explanation:
The complete question is
A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?
A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.
B- For an equal number of servings, the bananas will have three times as much sugar.
C- For an equal number of servings, the bananas will always have 10 more grams of sugar.
D- The amount of sugar in two servings of carrots is 30 grams.
<u><em>Verify each statement</em></u>
A- <u>There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas</u>
The statement is False
Because
In 10 servings of carrots there are 10(5)=50 grams of sugar
In 5 servings of banana there are 5(15)=75 grams of sugar
therefore
50 g < 75 g
B- <u>For an equal number of servings, the bananas will have three times as much sugar</u>
The statement is true
Because
In one serving of carrots there are 5 grams of sugar
In one serving of bananas there are 15 grams of sugar
The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5
Simplify
3:1
therefore
An equal number of servings, the bananas will have three times as much sugar
C- <u>For an equal number of servings, the bananas will always have 10 more grams of sugar. </u>
The statement is False
Because
In 10 servings of carrots there are 10(5)=50 grams of sugar
In 10 servings of banana there are 10(15)=150 grams of sugar
so
D- <u>The amount of sugar in two servings of carrots is 30 grams</u>
The statement is False
Because
In 2 servings of carrots there are 2(5)=10 grams of sugar
- HJ = 23.5 in
Take HJ = a, GH = b and GJ = c
- a = b + 2
- c = a + b - 17
- a + b + c = 73
put the value of a from equation 1 in equation 2
- c = (b + 2) + b − 17
- c = 2b − 15
now, put the value of a and c in equation 3
- b + 2 + b + 2b − 15 = 73
- 4b − 13 = 73
- 4b = 86
- b = 21.5 in
Now, we need to find HJ (a)
- a = b + 2
- a = 21.5 + 2
- a = 23.5 in
- HJ = 23.5 in