First we define the variables:
m = multiple choice questions
s = short answer questions
Next we need to satisfy 2 conditions:
1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:

2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:

By satisfying the conditions provided we were able to create the 2 equations!


Answer:
y=-1/3x+2/7
Step-by-step explanation:
y=-3x+6/7
x=-3y+6/7
-3y=x-6/7
y=-1/3x+(6/7)/3
y=-1/3x+(6/7)(1/3)
y=-1/3x+6/21
y=-1/3x+2/7
The given histogram represents <span>the number of hamburgers students ate in a month :
</span>
From the histogram we can conclude the following:
(1) 8 students ate (0 - 4) hamburgers
(2) 3 students ate (5 - 9) <span>hamburgers </span>
(3) 2 students ate (10 - 14) <span>hamburgers
</span>
note: we don't know how many students ate exactly 5 hamburgers.
<span>So, the answer
</span>
The information which is provided in the histogram<span>
</span><span>
</span><span>The number of students who ate 10 hamburgers or more
</span>
Step-by-step explanation:
Letthenumberofpensbexand
numberofpencilsbey
then
x+y=16ory=16−x
andtheirvalue
8x+1.5y=50
8x+(
2
3
)(16−x)=50
8x+24−(
2
3
)x=50
8x−(
2
3
)x=50−24
(
2
13x
)=26∴x=4
theny=16−x=16−4=12
Answer:
1.92 m³
hopefully this answer can help you to answer the next question.