Avi, Caleb, Rosa, Sonya, and Zamir compared recent quiz scores and learned that some of their quizzes differed in the number of questions. Zamir answered .75 of the 40 questions on his test correctly. Caleb answered 12 fewer questions correctly then Zamir, but he had only 25 questions on his test. Caleb and Rosa had the same number of quiz questions, but Rosa solved 1 more question correctly than Caleb. What was the percentage score for each of the students?

Zamir 75%

Caleb 72%

Rosa 76%

Work

Zamir

.75=75%

75*40=3000

3000/ 100= 30

Zamir got 30 out of 40 questions right

Caleb

30-12=18

Caleb got 18 out of 25 questions right now find percent

18*100=1800

1800/ 25= 72

Caleb got 72%

Rosa

18+1=19

Rosa got 19 out of 25 questions correct now find percent

19*100=1900

1900/ 25=76

Rosa got 76%

it has the same slope and a different y-intercept

hope this : )

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: