Answer:
Step-by-step explanation:
3
x
−
6
y
=
3
Rewrite in slope-intercept form.
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y
=
1
2
x
−
1
2
Using the slope-intercept form, the y-intercept is
−
1
2
.
b
=
−
1
2
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y
=
1
2
x
−
1
2
Using the slope-intercept form, the slope is
1
2
.
m
=
1
2
Answer: By the 8th week.
Step-by-step explanation:
Let the time that matteo and luca have the same amount of money be represented by x.
The information given in the question can be formed into an equation as:
400 - 10x = 200 + 15x
Collect like terms
400 - 200 = 15x + 10x
200 = 25x
x = 200/25
x = 8
Matteo and Luca will have the same amount of money by the 8th week.
Total tickets sold = 800
Total revenue = $3775
Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.
Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens
Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)
Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)
Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)
Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450
Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.
Answer:
A) x = 10-/3, y = 20
Step-by-step explanation:
Answer:
Length: 7
Width: 4
Step-by-step explanation:
We can create a system of equations for this problem, where 
is the width and 
is the length.
The perimeter of a rectangle is twice its length added to twice its width.
The length is 3 more than the width:
We can now substitute in 
as in the equation .
Distribute the first terms:
Combine like terms:
Subtract 6 from both sides:
Divide both sides by 4:
Now we know that w = 4. We can now substitute this inside an equation to find .
Hope this helped!
