Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months
Answer:
y= 4/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2=3(y−2)
−2=(3)(y)+(3)(−2)(Distribute)
−2=3y+−6
−2=3y−6
Step 2: Flip the equation.
3y−6=−2
Step 3: Add 6 to both sides.
3y−6+6=−2+6
3y=4
Step 4: Divide both sides by 3.
3y
/3
=
4
/3
y=
4/3
Answer:
y=
4/3
Answer:
Exact Form:
265/3
Decimal Form:
88.3 (with a line over the 3)
Mixed Number Form:
88 1/3
Answer:
∠STU = 69°
Step-by-step explanation:
The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.
Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.
__
Using these two relationships together, we realize angle V is twice the measure of angle T:
∠SVU = 2×∠STU
18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles
18x +12° = 36x -114° . . . . . eliminate parentheses
126° = 18x . . . . . . . . . . . add 114°-18x
∠STU = 18x -57° = 126° -57°
∠STU = 69°
_____
<em>Additional comment</em>
You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)
__
<em>Alternate solution</em>:
(18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.
69° = 18x -57° . . . . . simplify. This is the answer to the problem.
Answer:
54 -3n²
Step-by-step explanation:
The square of a number (n) is represented by n². Three times that value is represented by 3n².
The relation "a is subtracted from b" is represented as ...
b - a
When 3n² is subtracted from 54, the appropriate representation is ...
54 -3n²
