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stiks02 [169]
3 years ago
15

Find the unit rate:

Mathematics
1 answer:
Greeley [361]3 years ago
8 0
Answer A

3.60/20 = .18
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Every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Shani says that the t
pishuonlain [190]

Find the common multiples:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 9: 9, 18, 27, 36, 45

The common multiples are 18 and 36

The first person in line to get both free would be the 18th person and then the 36th person.

So she is correct that the 36th person would get both free, but they wouldn't be the first person to do it.

8 0
3 years ago
1/x-2 graphed<br><br><img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx-2%7D" id="TexFormula1" title="\frac{1}{x-2}" alt="\fra
bearhunter [10]

Answer:

Step-by-step explanation:

The given equation is expressed as

y = 1/(x - 2)

We will assume values for x and determine the corresponding values for y. Therefore,

When x = 0, y = 1/(0 - 2) = - 1/2

When x = 1, y = 1/(1 - 2) = - 1

When x = 2, y = 1/(2 - 2) = 0

When x = 3, y = 1/(3 - 2) = 1

When x = 4, y = 1/(4 - 2) = 1/2

To plot the graph, we would choose a suitable scale for the x and y axis of the graph.

Let 2 cm represent 1 unit on the vertical axis.

Let 2 cm represent 0.5 unit on the x axis.

The graph is shown in the attached photo

4 0
3 years ago
Can someone help with these two problems ?
ryzh [129]

Answer:

1. 6 cookies  2. 5/12 of the pan is left

Step-by-step explanation:

42/2=21

21(2/3)= 14

14-8=6

6 cookies were left

1/4+1/3= 3/12+4/12=7/12

5/12 of the pan is left

4 0
3 years ago
Read 2 more answers
A bicycle manufacturing plant is producing the first few frames for their new electric bicycle design. The first batch of 60 fra
Dmitry_Shevchenko [17]

Answer:

a) 131/450

b) 1233/1276  

Step-by-step explanation:

P(bad) = P(1st batch)*P(bad 1st batch ) + P(2nd batch )*P(bad 2nd batch) + P(3rd batch )*P(bad 3rd batch)

p(bad) =(60/360)*(1/3) + (120/360)*(1/4 ) + (180/360)*(1/5)

= 43/180  

And that of  P(good )

= 1 - 43/180

= 137/180

a)

P(defective) = P(bad)*P(defective /bad) + P(good)*P(defective /good)

= (43/180)*(9/10) + (137/180)*(1/10)

= 131/450

b)

P(Bc I Dc ) = P(good)*P(not defective |good) / P(not defective)

= (137/180)*(1 - 1/10) / (1 - 131/450)

= 1233/1276  

5 0
3 years ago
A rectangle has an area of 8x2 - 2x - 45. The length of the
Savatey [412]

Answer:

Width = W = 2x-5

Step-by-step explanation:

Given Data:

Length of rectangle = L = 4x + 9 ------->(Equation 1)

Area of rectangle = A = 8x^{2} - 2x -45 square inches ------->(Equation 2)

To find out:  

Width of rectangle = W = ?  

Formula:  

Area = A = L×W

Width = W = \frac{A}{L}

Solution:  

Width = W = \frac{A}{L}

Width = W = \frac{8x^{2} - 2x - 45 }{4x+9}

For complete division check the attached image.

Width = W = 2x-5 inches

 

5 0
3 years ago
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