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Solve the following arithmetic problems and algebraic equations.

Mathematics

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Answer

D

Step-by-step solution

22 steps

8)

  1. Perform the addition.

    33+23=5633 + 23 = 56

  2. Compare with the given options.

    The correct option is D.
    The answer is D. 56\boxed{\text{D. 56}}

    9)

  3. Subtract 9 from both sides of the equation.

    7x+9=587x + 9 = 58 7x=58−97x = 58 - 9 7x=497x = 49

  4. Divide by 7.

    x=497x = \frac{49}{7} x=7x = 7

  5. Compare with the given options.

    The correct option is C.
    The answer is C. 7\boxed{\text{C. 7}}

    10)

  6. Subtract 4 from both sides of the equation.

    6x+4=406x + 4 = 40 6x=40−46x = 40 - 4 6x=366x = 36

  7. Divide by 6.

    x=366x = \frac{36}{6} x=6x = 6

  8. Compare with the given options.

    The correct option is D.
    The answer is D. 6\boxed{\text{D. 6}}

    11)

  9. Subtract 10 from both sides of the equation.

    7x+10=1017x + 10 = 101 7x=101−107x = 101 - 10 7x=917x = 91

  10. Divide by 7.

    x=917x = \frac{91}{7} x=13x = 13

  11. Compare with the given options.

    The correct option is D.
    The answer is D. 13\boxed{\text{D. 13}}

    12)

  12. Subtract 17 from both sides of the equation.

    8x+17=1778x + 17 = 177 8x=177−178x = 177 - 17 8x=1608x = 160

  13. Divide by 8.

    x=1608x = \frac{160}{8} x=20x = 20

  14. Compare with the given options.

    The correct option is A.
    The answer is A. 20\boxed{\text{A. 20}}

    13)

  15. Identify the pattern in the sequence $20, 23, 26, 29, 32, ...$

    The difference between consecutive terms is:
    23−20=323 - 20 = 3
    26−23=326 - 23 = 3
    29−26=329 - 26 = 3
    32−29=332 - 29 = 3
    The common difference is 3.

  16. Add the common difference to the last term to find the next number.

    Next number =32+3=35= 32 + 3 = 35

  17. Compare with the given options.

    The correct option is B.
    The answer is B. 35\boxed{\text{B. 35}}

    14)

  18. Identify the pattern in the sequence $13, 15, 17, 19, 21, ...$

    The difference between consecutive terms is:
    15−13=215 - 13 = 2
    17−15=217 - 15 = 2
    19−17=219 - 17 = 2
    21−19=221 - 19 = 2
    The common difference is 2.

  19. Add the common difference to the last term to find the next number.

    Next number =21+2=23= 21 + 2 = 23

  20. Compare with the given options.

    The correct option is C.
    The answer is C. 23\boxed{\text{C. 23}}

    15)

  21. Identify the pattern in the sequence $9, 14, 19, 24, 29, ...$

    The difference between consecutive terms is:
    14−9=514 - 9 = 5
    19−14=519 - 14 = 5
    24−19=524 - 19 = 5
    29−24=529 - 24 = 5
    The common difference is 5.

  22. Add the common difference to the last term to find the next number.

    Next number =29+5=34= 29 + 5 = 34
    The options for this question are not visible in the image.
    The answer is 34\boxed{34}

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