Answer:
one
Step-by-step explanation:
A unit rate compares a quantity to one unit of measure.
Answer:
D; x -y = 22
3x + 2y = 246
Step-by-step explanation:
Let us have the bigger number as x and the smaller as y
The difference between the two is 22
Thus, we have it that;
x - y = 22
twice the smaller number; 2(y) added to thrice the larger 3(x) equals 246
3x + 2y = 246
So we have the two equations as;
x -y = 22
3x + 2y = 246
Answer:

Step-by-step explanation:
Given

Required
The equivalent expression
We have:

Expand

Further expand

Apply laws of indices

ANSWER
The smaller number is 7.
EXPLANATION
Let the numbers be x and y.
Then we have;
y-3x=3... eqn (1)
If the sum of the numbers is 3 then,
y+x=31... eqn (2)
Eqn(2) - Eqn (1)
x--3x=31-3

Divide both sides by 4,

We put x=7 into the second equation,
y+7=31
y=31-7
y=24
The smaller of the two numbers is 7.
Get it to equal 0
minus 17x from both sides
2x²-17x+35=0
tricky part
get something like
(2x-a)(x-b)
we know the signs are negative since the middle term is negative and last term is positive
so a and b are either 1 and 35 or 5 and 7
(2x-1)(x-35), nope
(2x-35)(x-1) nope
(2x-5)(x-7), nope
(2x-7)(x-5), yep
(2x-7)(x-5)=0
set to zero
2x-7=0
2x=7
x=7/2
x-5=0
x=5
x=7/2 and 5