The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25
To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:
4P + 6C = 46.50
P + C = 9.75
There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.
I’m going to multiply the second equation by 4:
4P + 4C = 39
Now we can subtract this for, the first equation:
4P + 6C = 46.50
4P + 4C = 39
2C = 7.50
C = 3.75
Now we can substitute this value of C into one of the equations to find P:
P + C = 9.75
P + 3.75 = 9.75
P = 6
And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25
I hope this helps! Let me know if you have any questions :)
Answer
1946.8 cm
Step-by-step explanation:
you first need to find the circumference of the tire. to do this you use the formula C=d(3.14)
you plug in the 62 to the d
62 times 3.14 = 194.68
and multiply that by 10 because it is 10 revolutions to get 1946.8 cm
Answer:
(9,2)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates of the endpoints
(14+4)/2 = 18/2 = 9
To find the y coordinate of the midpoint, average the y coordinates of the endpoints
(-8+12)/2 = 4/2 = 2
Answer:
y = -5x/4 + 0
Step-by-step explanation:
Find the slope
y = -5/4x - 4
Slope is the coefficient of x
Slope m = -5/4
Substitute m into point slope form equation
y - y1 = m(x - x1)
y - y1 = -5/4( x - x1)
Substitute the point into the equation
( 4 , -5)
x1 = 4
y1 = -5
y - y1 = -5/4( x - x1)
y - (-5) = -5/4( x - 4)
y + 5 = -5/4(x - 4)
Using a slope intercept form equation
y = mx + c
y - intercept point y
m - slope
x - intercept point x
c - intercept
open the bracket with -5/4
y + 5 = -5(x - 4)/4
y + 5 = (-5x + 20)/4
y = (-5x + 20)/4 - 5
LCM = 4
y =( -5x + 20 - 20)/4
y = ( -5x + 0)/4
Rearrange in
y = mx + c
y = -5x/ 4 + 0/4
y = -5x/4 + 0
The equation of the line is
y = -5x/4 + 0
Answer:
$63.36
Step-by-step explanation:
First we need to determine how many pencils are needed
8 pencils times 96 students
8*96 =768 pencils
A dozen is 12 pencils
Divide the number of pencils needed by 12 to determine how many dozen pencils are needed
768/12 =64
We need 64 dozen pencils
They cost .99 per dozen
64*.99 =63.36
It will cost $63.36 for the pencils
