Answer:
First one A and D
Second A and C
Third A and D
Fourth 20 / 4 = X
X = 5
Step-by-step explanation:
Answer: x = $7, y = $6
Step-by-step explanation:
Let x be the cost of an adult ticket
Let y be the cost of a children's ticket
Translate these sentences to algebra:
At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51
Five adult tickets and two child tickets cost $47: 5x + 2y = 47
Now we have two equations. Let's use substitution to solve.
3x + 5y = 51
3x = 51 - 5y
.: x = 17 - 5y/3
Now substitute this value of x into the second equation to find the numerical value of y:
5(17 - 5y/3) + 2y = 47
85 - 25y/3 + 2y = 47
-19y/3 = -38
-19y = -114
.: y = 6
Now find x:
x = 17 - 5y/3
x = 17 - 10
.: x = 7
So an adult ticket costs $7, and a child ticket costs $6 :)
3 16
Explanation
Factor the numerator and denominator and cancel the common factors.
Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = 
= 
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = 
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
m = = 
Simplify,
⇒ 
Therefore, the Equation of the line is y = 0.5x + 5.
Answer:
There are 3 feet in a yard, so divide 34 by 3, which is 11 with a remainder of 1, the remainder 1 is the remaining foot, so 34 feet is 11 yards and 1 foot.
Step-by-step explanation:
