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Question
homeworkcircle the prime number in the set(9, 15, 27, 31)which fact does not belong?5. $110\div11=$6. $10\times11=$7. $10\times10=$8. $110\div10=$select the correct symbol$8 + 5 \bigcirc 6 + 8$$<$ $=$ $>$36. 37. 38.which statements are not true?6. $4\times8\
eq6\times6$7. $9\times7>8\times8$8. $5\times7<4\times9$9. $24\div6\
eq8\div2$in an hour a jogger might run6 kilometers7 liters8 grams9 kilogramswhich is shorter?8. 110 cm9. 1 mthis isangle.3. an acute4. an obtuse5. a rightbaseballs are sold 8 to a box. three balls are needed for each game. how many boxes will be used in an 18-game season?paloma has 20 crayons.she has 6 blue, 5 red and 2 yellow. what is the ratio of red crayons to the total number of crayons?20. $2:1$30. $3:1$40. $1:4$50. $1:2$may just turned 22. she is 5 years younger than rita. candye is 7 years younger than rita. how many years older than candye is may?
Step1: Solve Group A problems
A (missing number):
Identify non-multiple of 3:
$15\div3=5$, $27\div3=9$, $31\div3\approx10.33$, so 31 is excluded.
A (calculations):
- Divide 110 by 11: $110\div11=10$
- Multiply 10 and 11: $10\times11=110$
- Multiply 10 and 10: $10\times10=100$
- Divide 110 by 10: $110\div10=11$
A (symbol comparison):
Calculate both sides: $8+5=13$, $6+8=14$. $13<14$, so use $<$.
Step2: Solve Group B problems
B (false statements):
- $4\times8=32$, $6\times6=36$ → $32
eq36$, true (not true)
- $9\times7=63$, $8\times8=64$ → $63>64$ is false
- $5\times7=35$, $4\times9=36$ → $35<36$, true
- $24\div6=4$, $8\div2=4$ → $4
eq4$ is false
False statements: 7, 9
B (jogger distance):
Choose unit for distance: 6 kilometers
B (shorter length):
Convert units: $1\ \text{m}=100\ \text{cm}$, so 1 m is shorter.
Step3: Solve Group C problems
C (angle type):
Right angle matches the diagram: 5. a right
C (baseball boxes):
Total balls needed: $18\times3=54$
Boxes needed: $\lceil\frac{54}{8}
ceil=7$ (since $6\times8=48<54$, $7\times8=56\geq54$)
Step4: Solve Group D problems
D (crayon ratio):
Red crayons: 5, total: 20. Ratio: $\frac{5}{20}=1:4$ → 40. 1:4
D (age difference):
Rita's age: $22+5=27$
Candye's age: $27-7=20$
Difference: $22-20=2$
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Group A:
- Missing number: 31
- 5. $10$
- 6. $110$
- 7. $100$
- 8. $11$
- Symbol: $<$
Group B:
- False statements: 7, 9
- Jogger distance: 6 kilometers
- Shorter length: 1 m
Group C:
- Angle type: 5. a right
- Baseball boxes: 7
Group D:
- Crayon ratio: 40. 1:4
- Age difference: 2