A. Find the unknown term of each proportion.
1. Answer: X=5
Step-by-step explanation:
x/7=15/21 ==> 21x=7(15) ==> 21x=105
21x/21=105/21 ==> x=5
2. Answer: X=40.5
Step-by-step explanation:
27/x=x/3 ==> 27(3)=x(x) ==> 81=2x
81/2=2x/2 ==> x=40.5
3. Answer: X=16
Step-by-step explanation:
8/x+2=4/9 ==> 8(9)=4(x+2) ==> 72=4x+8
72-8=4x+8-8 ==> 64=4x ==> 64/4=4x/4 ==> x=16
4. Answer: X=8
Step-by-step explanation:
3/x=30/80 ==> 3(80)=30x ==> 240=30x
240/30=30x/30 ==> x=8
5. Answer: M=56
Step-by-step explanation:
m/8=m+7/9 ==> 9m=8(m+7) ==> 9m=8m+56
9m-8m=8m-8m+56 ==> m=56
B. Solve the following.
1. Answer: 80 and 100
Step-by-step explanation:
4:5 ==> 4x+5x=180 ==> 9x=180
9x/9=180/9 ==> x=20
4(20)= 80 5(20)=100
2. Answer: 235.29
Step-by-step explanation:
3400/8 ==> 425
100,000/425= 235.29
the answer should be 13935/100
Answer:

Step-by-step explanation:


---------------------------------
First step multiply your terms in your first expression just to the 1 in the second expression like so:


---------------------------------
Anything times 1 is that anything.
That is,
.
Now we are going to take the top expression and multiply it to the -x in the second expression.
. We are going to put this product right under our previous product.


---------------------------------
We still have one more multiplication but before we do that I'm going to put some 0 place holders in and get my like terms lined up for the later addition:


---------------------------------
Now for the last multiplication, we are going to take the top expression and multiply it to x^3 giving us
. (I'm going to put this product underneath our other 2 products):


---------------------------------

I'm going to again insert some zero placeholders to help me line up my like terms for the addition.


---------------------------------

----------------------------------------------------Adding the three products!

Anikka's bike = (4*k) - 2
(4*(1/2)) - 2 = 0
It's more than half because anything less would cause Annika to ride her bicycle in a negative distance since