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Sloan [31]
3 years ago
15

Bob likes to prepare personal pizzas. He begins with a circle of dough that is 12 inches in diameter. On top of the dough, he pl

aces slices of salami. All of the slices are round and have a 4-inch diameter. If Bob doesn't overlap the slices or allow any of the slices to extend beyond the edge of the pie, what is the maximum number of salami slices he can add?
Mathematics
1 answer:
scoundrel [369]3 years ago
4 0
It's 7 Assuming all of the pieces are whole you can fit three across the middle of the pizza and 2 whole slices on either side 
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<img src="https://tex.z-dn.net/?f=9%20%5Cfrac%7B9%7D%7B10%7D%20%20%2B%202%20%5Cfrac%7B1%7D%7B4%7D%20%20%3D%20%20%5C%5C%20%206%20
frez [133]

Answer:

1. 445\frac{1}{2}

2. -1\frac{1}{12}

3. 2\frac{11}{30}

Step-by-step explanation:

1. 9\frac{9}{10} +2\frac{1}{4}

I like to make it an improper fraction first.

\frac{99}{10}+\frac{9}{4}

Now take the LCM. The LCM is 20.

\frac{198}{20} +\frac{45}{20}

Now add them.

\frac{8910}{20}

Make this into a mixed number.

445\frac{1}{2}

That's your answer for number 1.

2. 6\frac{1}{4} -7\frac{1}{3}

Do the same thing as the previous addition problem but subtract instead.

\frac{25}{4} -\frac{22}{3}

\frac{75}{12} -\frac{88}{12}

-\frac{13}{12}=-1\frac{1}{12}

-1\frac{1}{12} is your answer for number 2.

3. 8\frac{2}{3}-6\frac{3}{10}

\frac{26}{3} -\frac{63}{10}

\frac{260}{30}-\frac{189}{30}

\frac{71}{30}=2\frac{11}{30}

2\frac{11}{30} is your answer for number 3.

I hope this helps! Let me know if you need help or if I got anything wrong :)

5 0
3 years ago
What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!
Lana71 [14]

Answer:

y = 1/3x - 2:

  • y - intercept: - 2
  • x - intercept: 6

y = 12 - 6x:

  • y - intercept: 12
  • x - intercept: 2

y = 3x - 7:

  • y - intercept: -7
  • x - intercept: 7/3

Step-by-step explanation:

Hello!

<h3>Slope Intercept Form</h3>

The slope-intercept form of a line is y = mx + b

  • y = output, ordinate
  • m = slope
  • x = input, abscissa
  • b = y-intercept

<h3>y = 1/3x - 2</h3>

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

  • 0 = 1/3x - 2
  • 2 = 1/3x
  • 6 = x

y - intercept: - 2

x - intercept: 6

____________________________________________________

<h3>y = 12 - 6x</h3>

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

  • 0 = -6x + 12
  • -12 = -6x
  • 2 = x

y - intercept: 12

x - intercept: 2

____________________________________________________

<h3></h3><h3>y = 3x - 7</h3>

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

  • 0 = 3x - 7
  • 7 = 3x
  • x = 7/3

y - intercept: -7

x - intercept: 7/3

<u><em>Additional Note:</em></u>

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.

3 0
2 years ago
Suppose a and b give the population of two states where a&gt;b . Compare the expressions and tell which of the given pair is gre
qaws [65]
B/a+b x 0.5 is 11/g+a so The pair is greater
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3 years ago
Read 2 more answers
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mrs_skeptik [129]

x= 105°

y= 75°

z= 105°

7 0
3 years ago
PLEASE HELP ME WITH MY MATH QUESTIONS IF YOU HELP ME I WILL GIVE YOU BRAINLIEST
ankoles [38]
For the graphing if for example it says (3,-9) then you start at the very middle called the origin. Then go to the right 3.(this is called the x-axis) then go down 9 (this is the y axis) stop there and put you point. I hope this kinda helps explain this to you better :/
7 0
3 years ago
Read 2 more answers
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