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kotegsom [21]
3 years ago
7

Paper plates cost $8 per package and plastic utensils cost $5 per package. Your supplier delivers 15 packages for a total cost o

f $90.

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0
To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.

To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5

Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.

So, you have delivered 5 paper plate packages and 10 utensil packages.
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3 years ago
Figure G is rotated 90Degrees clockwise about the origin and then reflected over the x-axis, forming figure H.Which sequence of
Tasya [4]

Answer:

the answer is A

Step-by-step explanation:

hope it worked

3 0
3 years ago
Read 2 more answers
What are the x and y-intercepts of the line described by the equation?
tatuchka [14]

Answer: x=4.41 y= -7.35

Step-by-step explanation:

Pretty basic just graph them using Desmos...

Showing your work you would need to get x on one side then y on the other.

Because 3y is positive I personally like to use that one first. The inverse operation of 3y is divide so you divide 3y by 3 and the 3s cancel out. Divide -22.05 by 3 and you get -7.35. Which is your y value.

Finding X is a bit more difficult, you need to divide by -5 which is the obvious inverse operation. So, -22.05/-5 and you get 4.41. Which is your X value.

Any further questions feel free to contact me.

-Vy

5 0
3 years ago
A movie theater sold 4 adult tickets and 7 children's tickets for $83 on friday the next day the theater sold 5 adult tickets an
Sergio039 [100]

Answer: An adult ticket cost $12

A child ticket cost $5

Step-by-step explanation:

Let x represent the price for one adult ticket.

Let y represent the price for one child ticket.

A movie theater sold 4 adult tickets and 7 children's tickets for $83 on Friday. It means that

4x + 7y = 83 - - - - - - - - - - - -1

The next day the theater sold 5 adult tickets and 6 children tickets for $90. It means that

5x + 6y = 90 - - - - - - - - - - - -2

Multiplying equation 1 by 5 and equation 2 by 4, it becomes

20x + 35y = 415

20x + 24y = 360

Subtracting, it becomes

11y = 55

y = 55/11 = 5

Substituting y = 5 into equation 1, it becomes

4x + 7 × 5 = 83

4x + 35 = 83

4x = 83 - 35 = 48

x = 48/4 = 12

3 0
3 years ago
A line passes through the points (1, 8) and (0, 3). What is its equation in slope-intercept form?
Sphinxa [80]

Answer:

Step-by-step explanation:

The equation is y=mx+b.

In this case, you plug in 3 for b, because b represents the y-intercept and the y-intercept is (0,3).

To figure out the slope, the equation is y-y/x-x, so it would be 8-3/1-0, which leves us with 5.

M represents the slope so your answer is:

Y=5x+3

Hope this helps!

3 0
3 years ago
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