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Mariana [72]
3 years ago
5

The math club sells candy bars an d drinks during football games. • 60 candy bars and 110 drinks will sell for $265. • 120 candy

bars and 90 drinks will sell for $270. How much does each candy bar sell for?
Mathematics
1 answer:
Sedbober [7]3 years ago
7 0
We can set up a system of equations to solve this. 

120b + 90d = 270
60b + 110d = 265

To cancel out b, first make the b terms equal.

60b · 2 + 110d · 2 = 265 · 2
120b + 220d = 530

Now subtract the equations.

 120b +   90d =  270
-120b + 220d =  530
---------------------------
            -130d = -260

Solve for d.

-130d/-130 = -260/-130
d = 2

Now put the value of d in one of the equations. 

60b + 110d = 265
60b + 110 · 2 = 265
60b + 220 = 265
60b + 220 - 220 = 265 - 220
60b = 45
60b/60 = 45/60
b = 0.75

Each candy bar sells for $0.75

Hope this helps! :)
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(T+10.5) + 2t + 90 = 180
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Answer:

x = 26.5

Step-by-step explanation:

Step 1: Write equation

(t + 10.5) + 2t + 90 = 180

Step 2: Solve for <em>t</em>

<u>Combine like terms:</u> 3t + 100.5 = 180

<u>Subtract 100.5 on both sides:</u> 3t = 79.5

<u>Divide both sides by 3:</u> t = 26.5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

<u>Substitute:</u> (26.5 + 10.5) + 2(26.5) + 90 = 180

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<u>Add:</u> 180 = 180

∴ x = 26.5

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The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism
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Answer:

\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x

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  2. Parenthesis
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  5. Division
  6. Addition
  7. Subtraction
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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle V_P = 2x^3 - 6x^2 + 8x<em />

<em />\displaystyle V_C = 27x^3<em />

<em />

<u>Step 2: Find Combined Volume</u>

  1. [Set up] Add:                                                                                                     \displaystyle V_P + V_C = V_{P + C}
  2. Substitute in variables:                                                                                    \displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x
  3. Combine like terms:                                                                                        \displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x
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