Answer:
44°
Step-by-step explanation:
This is an inscribed angle and its measure is equal to the measure of arc it sees (minor arc BC in this case)
88 ÷ 2 = 44°
600 sixth-graders were surveyed.
Step-by-step explanation:
Step 1; Assume x is the total number of sixth-graders that were surveyed. According to the given circle graph, 5% of the sixth-graders that were surveyed have birds as their pets. If x is the total number of sixth-graders surveyed then 5% of x equals 30. So
5% of x = 30.
5% equals 
= 0.05, so 5% = 0.05.
Step 2; If 0.05 x = 30, we can solve by keeping the unknown value on one side and keeping all the known values on one side.
x = 
= 600.
So 600 sixth-graders were surveyed.
Answer: 2x2(2x+1)(2x-1)
I think so
Answer:
The child has 6 dimes and 5 quarters.
Step-by-step explanation:
Let q and d represent the number of quarters and of dimes respectively.
Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).
Multiply the 2nd equation by 100 to remove the decimal fractions:
25q + 10d = 185 (Equation C)
Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:
-10q - 10d = -110
25q + 10d = 185
--------------------------
15q = 75, and so q = 75/15 = 5.
According to Equation A, q + d = 11. Replacing q with 5, we get:
5 + d = 11, and so d = 6.
The child has 6 dimes and 5 quarters.
Yes. A quart is greater than 2 cups.
