Answer: First, turn the mixed fraction 16 1/4 into a improper fraction. It would become 65/4
x+65/4=64
Next, I would multiply the entire equation by 4 to get rid of the fraction
It would become 4x+65=256
Now solve for X
4x=191
x=191/4
x=47.75
Step-by-step explanation:
Answer:
cost of one medium drink = $3.80
cost of one large popcorn = $6.25
Step-by-step explanation:
Let D = cost of one medium drink
Let P = cost of one large popcorn
If a couple bought 2 medium drinks and a large popcorn for $13.85:
⇒ 2D + P = 13.85
If a family bought 3 medium drinks and 2 large popcorn for a total of $23.90:
⇒ 3D + 2P = 23.90
Rewrite 2D + P = 13.85 to make P the subject:
⇒ P = 13.85 - 2D
Substitute into 3D + 2P = 23.90 and solve for D:
⇒ 3D + 2(13.85 - 2D) = 23.90
⇒ 3D + 27.7 - 4D = 23.90
⇒ D = 3.8
Substitute found value of D into P = 13.85 - 2D to find P:
⇒ P = 13.85 - (2 x 3.8) = 6.25
Therefore,
cost of one medium drink = $3.80
cost of one large popcorn = $6.25
Answer:
a) -6
b) 3
c) Y = -6x + 3
Step-by-step explanation:
Pick two points and find rise/run = slope
rise y1 - y2 = 9 - 3 = 6
run x1 - x2 = -1 - 0 = -1
slope = 6 / -1 = -6
The y intercept is where x = 0 which is given in the table (0,3) so
y intercept = 3
Point slope form is y = mx + b , so
y = -6x + 3
Answer:
The equation representing Total money spend being as a member is
Step-by-step explanation:
Given:
Memberships charges = $60
Cost of 1 book = $7.60
Let number of books be 'b'.
We need to find Total money 'm' spend yearly on buying books after becoming member.
Now we know that 1 book is free for a member.
Total money spend 'm' will be equal to Sum Memberships charges and Cost of 1 book multiplied by number of books bought yearly minus 1.
Framing in equation form we get;
Hence The equation representing Total money spend being as a member is
Answer:
y = 11/20x -50
Step-by-step explanation:
100y−39,000=55(x−800)
Distribute
100y−39,000=55x−44000
Add 39000 to each side
100y−39,000+39000=55x−44000+39000
100y = 55x -5000
Divide each side by 100
100y/100 = 55x/100 - 5000/100
y = 11/20x -50
This is slope intercept form
where 11/20 is the slope and -50 is the y intercept