Question

warm - up 7 mca 7th period
a certain test consists of multiple - choice questions and essay que
in the ratio 5:2. if the test contains 6 essay questions, what is the t
number of questions on the test?
a. 21 b. 30 c. 18 d. 24
in triangle abc, angles b = 50° and c = 40°. what is the measure o
a?
a. 70° b. 80° c. 90° d. 100°
solve for x:
3x + 2(x - 5)=4x + 1
a) - 11 b) - 1 c) 1 d) 11

Explanation:

Step1: Expand the left - hand side

Expand \(2(x - 5)\) using the distributive property \(a(b + c)=ab+ac\). So \(3x+2(x - 5)=3x+2x-10 = 5x-10\).
The equation becomes \(5x-10 = 4x + 1\).

Step2: Move the \(x\) terms to one side

Subtract \(4x\) from both sides of the equation: \((5x-4x)-10=(4x - 4x)+1\).
We get \(x-10 = 1\).

Step3: Solve for \(x\)

Add \(10\) to both sides of the equation: \(x-10 + 10=1+10\).

Answer:

\(x = 11\), so the answer is D.