The statment is correct but if you have to work out the value of x you need a total amount of the purchase without that or atleast some sort of value it is not possible to work out
Answer:
Mrs. Wright's paycheck is $630
Step-by-step explanation:
Let x = Mrs. Wright's paycheck.
Mrs. Wright spent 2/9 of her paycheck on food. This means that the amount of money spent on food is 2/9 × x = 2x/9
She spent 1/3 on rent. This means that the amount spent on rent is
1/3 ×x x = x/3
Amount she spent on food and rent is x/3 + 2x/9 =3x + 2x /9
= 5x/9
The remainder is her pay check - the amount that she spent on food and rent. It becomes
x - 5x/9 = (9x- 5x)/9 = 4x/9
She spent 1/4 of the remainder on transportation. It means that she spent 1/4 × 4x/9 = x /9 on transportation.
Amount left = 4x /9 - x/9= 3x/9
She had $210 left. Therefore,
210 = 3x/9
3x = 9×210 = 1890
x = 1890/3
x = $630
He drew a scalene triangle
A scalene triangle is where all side measure and all angle measure are different.
Answer:
m<S = 45°
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180 deg.
m<R + m<S + m<T = 180
3x + 2x + 3x = 180
8x = 180
x = 22.5
m<S = 2x = 2(22.5) = 45
S - the number of the t-shirts;
h - the number of hats:
The system of equations:
s + h = 23
10 s + 12 h = 246
--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
h = 16 : 2
h = 8
s = 23 - 8
s = 15
Answer: The basketball team sold 15 t-shirts and 8 hats.