Answer: there are 10 multiple choice questions and 15 short-answer questions
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short-answer questions in the test.
If the test has 25 questions, it means that
x + y = 25
Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that
2x + 4y = 80 - - - - - - - -1
Substituting x = 25 - y into equation 1, it becomes
2(25 - y) + 4y = 80
50 - 2y + 4y = 80
- 2y + 4y = 80 - 50
2y = 30
y = 30/2 = 15
x = 25 - y = 25 - 15 = 10
A. The number of multiple-choice questions plus the number of short-answer questions is 25.
Answer:
2014 price was $49,091
Step-by-step explanation:
I'm assuming you want to solve for 2014 year price...
2015 year price is 54,000 and was 10% higher than 2014 price, meaning 2015 price is 110% of 2014 price so...
p×110%=54,000
p=54,000/1.1
p=49,090.90
Answer:
C) (x-3)(x+3)
Note:
Just a tip there is an app called Desmos where you can put in equations like this and it will graph them for you.
Answer:
0.416 au
Step-by-step explanation:
Let y1=8sin(x) and y2=8cos(x), we must find the area between y1 and y2

Good evening ,
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To graph such function we need only 2 points that their coordinates verify the equation y=1+0.5x then we link them with a line.
Look at the photo below for the graph.
:)