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maria [59]
3 years ago
11

peter buys 12 bunches of bannas for 9.00. use a ratio table to determine how much peter will pay for 8 bunches.

Mathematics
1 answer:
erik [133]3 years ago
6 0

We are given that Peter buys 12 bunches of bananas for 9.00.

We need to determine how much peter will pay for 8 bunches.

Let us set up proportion now.

12 bunches of bananas for 9.00 = 12 : 9

Let us assume Peter will pay for 8 bunches = $x.

Therefore, 8 bunches of bananas for x = 8 : x.

<h3>Setting up proportion:</h3><h3>\frac{12}{9} = \frac{8}{x}</h3>

On cross-multiplying, we get

12x = 9×8

12x = 72.

Dividing both sides by 12, we get

\frac{12x}{12} =\frac{72}{12}

x=6.

<h3>Therefore, Peter will pay $6 for 8 bunches.</h3>
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Answer: -7, 12

Step-by-step explanation:

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a = 5-b

(5-b)*b = -84

-b^2 + 5b + 84 = 0

(-b - 7)(b + 12) = 0

The roots are -7 and 12.

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2 years ago
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
AysviL [449]
79 ft/s = 0.0240792 km/s

0.0240792 x 60 = 1.444752 km/minute
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3 years ago
I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work
sertanlavr [38]
<h2>Answers:</h2>

  • Solving for x on the question - <em>2x + 3y = 32</em>  |  
  1. Answer : x =  \frac{-3}{2}⁻y + 16

  • Solving for y on the question - <em>2x + 3y = 32</em>  |  
  1. Answer : y = \frac{-2}{3}x + \frac{32}{3}
<h3></h3>
  • Solving for x on question - 5x - 4y = -81 |
  1. Answer : x =  \frac{4}{5}y + \frac{-81}{5}

  • Solving for y on question - 5x - 4y = -81 |
  1. Answer : y =  \frac{-5}{4}x + \frac{81}{4}
<h2>Step-by-step explanation:</h2>

<em>(Solving for x on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

\frac{2x}{2}  = \frac{-3y+32}{2}

<u>x =  </u>\frac{-3}{2}<u>⁻y + 16</u><u>                                                                                                                 </u>

<em>(Solving for y on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

\frac{3y}{3} =  \frac{-2x+32}{3}

<u>y = </u>\frac{-2}{3}<u>x + </u>\frac{32}{3}<u>                                                                                                           </u>

<em>(Solving for x on question - 5x - 4y = -81)</em>

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

\frac{5x}{5} =  \frac{4y-81}{5}

<u>x =  </u>\frac{4}{5}<u>y + </u>\frac{-81}{5}<u>                                                                                                               </u>

<em>(Solving for y on question - 5x - 4y = -81 )</em>

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

\frac{-4y}{-4} = \frac{-5x-81}{-4}

y =  \frac{-5}{4}x + \frac{81}{4}

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