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Sergeu [11.5K]
2 years ago
15

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total

of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25
Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25

4x + 3y = 7.25

3x - 4y = 7.25

(3 + 4)x = 7.25​
Mathematics
1 answer:
Pavel [41]2 years ago
3 0

Answer:

p + 2c = 3.25 Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25 Solve for one variable

3(-2c +3.25) + 4c = 7.25 Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25 Substitute

p + 2 = 3.25

p = 1.25

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

pls mark me brainless

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Let A represent amount of Type A coffee pounds used.  

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5.80A + 4.65B = 826.60  

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904.8 - 5.80B + 4.65B - 826.60 = 0

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78.2 - 1.15B = 0  

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68 = B

B = 68 pounds of Type B coffee

There's many more steps you can take to check and etc but am too lazy to put down sorry.

3 0
2 years ago
Juanita is having a party at her house she is inviting 12 people.there will be 3 times as many boys as girls invited. let x repr
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X + 3x = 12 

(Or 4x=12)

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8 0
3 years ago
What are compatible numbers for 12 and 21
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Compatible number is 33
6 0
2 years ago
A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

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Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0
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Answer:

y = x - 4

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Get the equation;

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This gives the required equation

7 0
2 years ago
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