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homeworkcircle the prime number in the set(9, 15, 27, 31)which fact doe…

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?

Explanation:

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):
  1. Divide 110 by 11: $110\div11=10$
  2. Multiply 10 and 11: $10\times11=110$
  3. Multiply 10 and 10: $10\times10=100$
  4. 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):
  1. $4\times8=32$, $6\times6=36$ → $32

eq36$, true (not true)

  1. $9\times7=63$, $8\times8=64$ → $63>64$ is false
  2. $5\times7=35$, $4\times9=36$ → $35<36$, true
  3. $24\div6=4$, $8\div2=4$ → $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: $22-20=2$

Answer:

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