Answer:
A, B, C, E, and F
To solve this problem, you should make sure to find the equation first. Start by doing rise/run with your two given points on the graph. From the point (-1,1) you rise 4 and then run 16 over to the point (3,2). That gives us a slope of 4/16 which can then be simplified to 1/4. That means that letter F tells us the equation of the line is y= 1/4x + 5/4.
From there you want to check your points, (3,2) and (-1,1). The first number is always x and the second number is always y. So you plug the point numbers into the equation we just found to see if they work. In the photos I inserted are how to do this step.
Once you have checked your points and you know for sure they're solutions, that gave you letters A and B. Since the point (1, 3/2) is also given in one of the answers we should check that point as well. (Also done in one of the photos) Since the point came out correctly that gives us letter C and also tells us there is more than 2 solutions. This means that letter E is also correct.
Hope this helped!
Setting the equation up is probably the hardest part of this question. In this case, you're told that 3 out of every 20 trees has been cut down, which is the "ratio"; if a total of 840 trees have been cut down, there should be many more that are left since for every 20 trees, only three are cut down.
Set the equation up as:
3 / 20 = 840 / x
where x = the number of trees left standing.
Now, you just cross multiply and solve:
3 / 20 = 840 / x
3x = (840 x 20)
3x = 16800
x = 16800 / 3
x = 5600
Hope this helps!
Good luck
Answer:
Seems correct to me. I color coded the various terms.
Answer:
73.12m²
Step-by-step explanation:
Okay, you can break this figure into a half-circle and a triangle, we're going to start with the triangle (using the handy formula sheet you have up there)
12 x 8 = 96
96 x ½ = 48
Now we do the semicircle (the formula for a circle is pi x radius² )
the radius is half of the diameter so:
8 ÷ 2 = 4
4² = 16
we're using 3.14 for pi so:
3.14 x 16 = 50.24
Now we'd normally stop there, but this is only a semicircle, so we have to chop it in half again:
50.24 ÷ 2 = 25.12
Now we add both of those together:
48 + 25.12 = 73.12
So the area of the figure is 73.12m²
hope this helps:)
There are 30 students who do not take the bus to school.
Further explanation:
Given
Boys in class=15
Girls in class = 35
Total strength of class = 15+35 = 50
In order to find the number of students who do not take the bus to school, we have to calculate first that how many students take the bus to school
So,
There are 20 students who take the bus to school.
Now,
Hence,
There are 30 students who do not take the bus to school.
Keywords: Percentage, Word problems
Learn more about percentage at:
#LearnwithBrainly
