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andrew-mc [135]
4 years ago
11

A restaurant manager wants to purchase 200200 sets of dishes. one design costs ​$1010 per​ set, while another costs ​$5555 per s

et. if she wants to use her entire budget of ​$78507850​, how many of each design should be​ ordered?
Mathematics
1 answer:
Sophie [7]4 years ago
5 0
Unless it was a restaurant for the king ..... i am going to assume your 
200200 is 200
$1010 is $10
$5555 is $55
$78507850 is $7850 


Let x be the number of $10 design set
$10 design set = x
$55 design set = 200 - x

10x + 55(200 - x) = 7850
10x + 11000 - 55x = 7850
55x - 10x = 11000 - 7850
45x = 3150
x = 70
200 - 70 = 130

70 of the $10 design and 130 of the $55 design
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You can use cross product to slove this equation.

3 0
4 years ago
What is the slope of the line that contains these points? xxx -4−4minus, 4 -3−3minus, 3 -2−2minus, 2 -1−1minus, 1 yyy 222 555 88
Charra [1.4K]

Given:

The table of values is

x        y

-4      2

-3      5

-2       8

-1       11

To find:

The slope of the line that contains these points.

Solution:

From the given table consider any two point.

Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))

y-2=\dfrac{3}{-3+4}(x+4)

y-2=\dfrac{3}{1}(x+4)

Using distributive property, we get

y-2=3x+12

y=3x+12+2

y=3x+14

Therefore, the required equation of line is y=3x+14.

4 0
3 years ago
A certain aircraft can carry a maximum cargo weight of 1300 pounds. If the baggage weighs no more than 210 pounds, what is the l
VMariaS [17]
The answer is 1090 pounds because 1300, the max weight, minus 210, the baggage, is 1090. Hope this helps!
3 0
3 years ago
4(2x – 5) = 4 Part A: How many solutions does this equation have? (4 points) Part B: What are the solutions to this equation? Sh
Gnom [1K]
A. one solution
B 4(2x-5) = 4
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2x = 6
x=3
7 0
3 years ago
Please help me please
photoshop1234 [79]

Answer:

(-6,0), (-5,-1), and (-1,-2)

-Please mark as brainliest!-

-Hope this helps!-

-Good luck!-

Step-by-step explanation:

0+3(-3) greater than or equal to -8

-9 greater than or equal to -8

No

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-10 greater than or equal to -8

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Yes

-5+3(-1) greater than or equal to -8

-8 greater than or equal to -8

Yes

-1+3(-2) greater than or equal -8

-7 greater than or equal to -8

Yes

6 0
3 years ago
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