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liraira [26]
3 years ago
11

What goes on the lines I don’t understand the problem

Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer:

Step-by-step explanation:

a). Let the number of spoons = x

And number of forks = y

Total number of spoons and forks bought by Perry = 10

x + y = 10 --------(1)

Cost of one spoon = $5

Cost of one fork = $3

Therefore, total cost of x spoons and y forks = $(5x + 3y)

5x + 3y = 42 -------(2)

b). Now we can convert these equations into the slope-intercept form.

x + y = 10 ⇒ y = -x + 10

Table for input output values,

x        2         4          6          

y        8         6          4                

5x + 3y = 42

3y = -5x + 42

y = -\frac{5}{3}x+14

x        0           3          6        

y       14           9          4                  

Point of intersection of these lines will be (6, 4).

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Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6

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1 year ago
A change machine changes dollar bills into quarters and nickels. If you receive 12 coins after inserting a dollar bill, how many
Rudik [331]
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you will put 30 instead of X in each equation and see which one is the cheapest
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