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Karolina [17]
3 years ago
10

A pizza shop wants to determine how often it delivers to three different areas of a city. The table shows the areas from a rando

m sample of 80 deliveries.
Area of City - Number of deliveries
Nothern - 14
Central - 44
Southern - 22

Based on these data, if the driver makes 200 deliveries, how many deliveries will be to the southern area of the city?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0

Answer:

55 Southern deliveries.

Step-by-step explanation:

Let's make a ratio

Northern : Central : Southern : Total

    14        :     44     :       22      :   80

     7         :     22     :       11        :   40

    35        :     110     :      55      :  200

We can see from our ratio, that there are 55 Southern deliveries when 200 deliveries are delivered.

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Perform the following food service calculation. Size of juice can = 54 oz. Portions of juice served = 6 oz. Number of cases used
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2 cases x 12 cans = 24 cans

24 cans x 54 oz per can = 1296 oz

1296 oz / 6 oz per serving = 216 guests served
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3 years ago
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How do you write 100, in an exponential form
Allushta [10]

1. 10^2

2. 10^5

3. 10^4

Hope this helped!

Nate

8 0
3 years ago
The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
lyudmila [28]

Answer:

Height of cylinder (h) = (4/3)R

Step-by-step explanation:

Given:

Radius of cylinder (r1) = R

Height of cylinder (h) = H

Radius of sphere (r2) = R

Volume of cylinder = volume of sphere

Find:

Height of cylinder (h) = H = ?

Computation:

Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3}  (R)

Height of cylinder (h) = (4/3)R

4 0
3 years ago
The difference of two numbers is 33. The sum of the first number and four times the second number is -2. What is the larger of t
defon

Answer:

The larger of the two is 44.67

Step-by-step explanation:

let the first number=x

let the second number=y

We can derive a system of equations using the mathematical statements

Their sum is 33:

x+y=33( call this equation 1)

Sum of first number and four times the second is -2:

x+4y=-2(call this equation 2)

Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it

For this explanation, I choose to subtract equation 1 from 2

(x+4y=-2)-(x+y=33)=3y=-35

y=-35/3

Now plug in the value of y into any equation for that of x. Say we plug into equation 1

x+(-35/3)=33

x-35/3=33( multiply through by 3)

3x-35=99

3x=99+35

3x=134

x=134/3

Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67

7 0
3 years ago
A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?
Marizza181 [45]

Answer:

63 books per capita in the library

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Step-by-step explanation:

Given

Books = 2.73 * 10^3

People = 43

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

Average = \frac{Books}{People}

Average = \frac{2.73 * 10^3}{43}

Average = \frac{2.73 * 1000}{43}

Average = \frac{2730}{43}

Average = 63.488372093

Average = 63 (Approximated)

Hence;

<em>There are 63 books per capita in the library</em>

7 0
2 years ago
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