Answer:
500
Step-by-step explanation:
Let the unknown number be n. Then 1.5n = 750, and n = 500.
750 is 150 percent of 500.
Answer:
it is commutative property of add
Step-by-step explanation:
commutative propert:
a+b=b+a
same as
5x-8=-8+5x
Answer:
- Friday's tickets: $26 each
- Saturday's tickets: $35 each
Step-by-step explanation:
We presume that 4 tickets were bought each day, so the price of 1 ticket is 1/4 of the total price:
(1/4)($104) = $26
(1/4)($140) = $35
The cost of each ticket on Friday was $26; on Saturday, the cost was $35.
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
