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QUESTION 1: MULTIPLE CHOICE QUESTIONS, CHOOSE THE CORRECT ANSWER, i.e 1.8 = 1.4 Solve for xf3x−7=5 A. x=10 B. x=4 C. x=2 D. x=3

Mathematics

ScanSolve AI Answer

Answer

B

B. x=4\boxed{\text{B. } x=4}

Step-by-step solution

12 steps

Here are the solutions to the questions:

Part 1.1· 2 steps

Solve for xx if 3x−7=53x - 7 = 5.

  1. Add 7 to both sides of the equation.

    3x−7+7=5+73x - 7 + 7 = 5 + 7 3x=123x = 12

  2. Divide both sides by 3.

    x=123x = \frac{12}{3} x=4x = 4

    The correct option is B. B. x=4\boxed{\text{B. } x=4}

Part 1.2

The diagram for this question is too blurry, and the variable xx is not indicated in the image. Therefore, this question cannot be solved.

Part 1.3· 4 steps

Find the value of xx.
The sum of the angles in a triangle is 180∘180^\circ. The given angles are 52∘52^\circ, 44∘44^\circ, and (3x−15)∘(3x - 15)^\circ.

  1. Set up the equation for the sum of angles.

    52∘+44∘+(3x−15)∘=180∘52^\circ + 44^\circ + (3x - 15)^\circ = 180^\circ

  2. Combine the constant terms on the left side.

    96∘+3x−15∘=180∘96^\circ + 3x - 15^\circ = 180^\circ 81∘+3x=180∘81^\circ + 3x = 180^\circ

  3. Subtract 81∘81^\circ from both sides.

    3x=180∘−81∘3x = 180^\circ - 81^\circ 3x=99∘3x = 99^\circ

  4. Divide by 3 to solve for xx.

    x=993x = \frac{99}{3} x=33x = 33

    The correct option is D. D. x=33\boxed{\text{D. } x=33}

Part 1.4· 2 steps

2y=1282^y = 128, then the value of yy is:

  1. Express 128 as a power of 2.

    128=27128 = 2^7

  2. Equate the exponents since the bases are the same.

    2y=272^y = 2^7 y=7y = 7

    The correct option is D. D. y=7\boxed{\text{D. } y=7}

Part 1.5· 4 steps

If a=−1a = -1, b=−3b = -3 and c=4c = 4, the value of the expression 3b2−c3b^2 - \sqrt{c} is:

  1. Substitute the given values into the expression.

    3(−3)2−43(-3)^2 - \sqrt{4}

  2. Calculate the square and the square root.

    3(9)−23(9) - 2

  3. Perform the multiplication.

    27−227 - 2

  4. Perform the subtraction.

    2525

    The correct option is D. D. 25\boxed{\text{D. } 25}

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