Answer:
A: 19:26 B:7:8 C:26:45
Step-by-step explanation:
<u>Question A</u>
First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,
<u>Boys</u>
9+10=19
<u>Girls</u>
12+14=26
Now that you have the total number of boys and girls you make this ratio,
19:26
That is the final answer
<u>Question B</u>
For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,
<u>Fifth Graders</u>
12+9=21
<u>Sixth Graders</u>
14+10=24
Now that you have the total number of both of the different grades you make this ratio,
21:24
You can simplify this by finding the lowest common factor which would be
7:8
<u>Question C</u>
To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.
<u>Girls</u>
12+14=26
<u>All</u>
12+9+14+10=45
Now with the total number of both you will form a ratio
26:45
This is your final answer because you cant simplify this any further
Answer: 15
Step-by-step explanation: 5n + 10=10n - 65
-10n -10n
------------------------------
-5n +10 = -65
-10 -10
----------------------------
-5n = -75
divide -5 on both sides and you should get positive 15
Answer:
Step-by-step explanation:
Let's solve the second equation for a to later on replace it in the first equation.
Now plug this into the first equation.
Distribute the 9
Break down the fraction.
Simplify.
Subtract 
Combine like terms.
Muliply by the reciprocal or inverted fraction next to b.
Now plug this value into any of the equations to find the value of a.
It would be B. -6.
f(x) = 3x-12
f(2) = 3(2)-12
f(2) = 6-12
f(2) = -6
5) Obtuse triangle because the top angle is more than 90 degrees
