Answer:
AB=29; BC=27
Step-by-step explanation:
So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.
So you would write it as such,,
4x+9+5x+2=56
Combine like terms
9x+11=56
Now you have to isolate the x by itself but first get rid of the 11.
9x+11-11=56-11
You would get
9x=45
Here you can divide 9 by both sides to isolate x.
9x/9=45/9
{x=5}
Now to find the value for both substitue x in the equations for both
1. AB=4x+9 where x is 5
4(5)+9 =AB
20+9 =AB
29=AB
You would do the same with BC
2. BC= 5x+2 where x is 5
5(5)+2= BC
25+2= BC
27=BC
If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC
It is d i did the test and got an a
Answer:
5 1/6 ÷ 4 2/3 = 31/28
3 3/4 ÷ 1 2/8 = 3
4 2/4 ÷ 2 1/4 = 2
5 2/5 ÷ 1 4/5 = 3
4 2/8 ÷ 3 2/4 = 17/4
3 3/9 ÷ 2 4/12 = 10/7
7 1/2 ÷ 3 3/5 = 25/12
6 2/8 ÷ 3 1/3 = 15/8
Explanation:
5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = (31/14) / (6/3) = (31/14) / 2 [when you divide by a certain number you multiply that number by the denominator] = 31/28
5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = 31/6 × 3/14
