Q9 Q6.) Write an equation for intersection l₂ that keeps traffic moving.
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
Consider the circle with center X, as shown in the figure.
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
units.
Answer: 8 units
Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.
Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.
SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is
Answer: 8 units