What is the volume of the composite figure
1 answer:
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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
Answer:
x = - , x =
Step-by-step explanation:
Given
x² - x - = 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =