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alekssr [168]
2 years ago
12

At Norris Middle School 11 out of 22 students bike to school. At Lewis and Clark Middle School 14 out of 28

Mathematics
1 answer:
Darina [25.2K]2 years ago
5 0
Both ratios are equivalent due to the fact that 11/22 as a simplified fraction makes 1/2 and 14/28 also makes 1/2 if simplified.
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when 1580 is divided into 13 equal parts, the remainder is 7. What is the correct way to write the quotient
Alisiya [41]

_121_ R7 or 121 7/13
13)1580
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5 0
2 years ago
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Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he
FinnZ [79.3K]

Table is attached below

From the table we can see that the Lemon cost is equal to 35% of the expenses

Let the expense be x, Lemons cost is 70

Lemon cost = 35% * x

70 = 35% * x ( 35% = \frac{35}{100} = 0.35)

70 = 0.35 * x

x = \frac{70}{0.35}

x= 200, Expense = $200

Given : Profit percentage is 15%= \frac{15}{100} = 0.15

Profit = profit percentage * Expense

Profit = 0.15 * 200 = 30

So profit = $30


5 0
2 years ago
Read 2 more answers
Archimedes (ca. 287-212 B.C.) was able to use clever geometric means to determine the relative volumes of a cylinder and the con
VLD [36.1K]

Answer:

The ration of the volume of  cone to that of   cylinder is   \frac{V_{cone}}{V_{cy}} = \frac{1}{3}  

Step-by-step explanation:

From the question we are told that

 The volume of a cone is mathematically represented as

        V_{cone} = \frac{1}{3} \pi r^2 h

The volume of a cylinder is mathematically represented as

       V_{cy} = \pi r^2 h

Now the ratio we are to obtain is

          \frac{V_{cone}}{V_{cy}}  = \frac{\frac{1}{3}  \pi r^2 h}{\pi r^2 h}    

                   \frac{V_{cone}}{V_{cy}} = \frac{\frac{1}{3} }{1}         Note: this is possible because the height and base

                   \frac{V_{cone}}{V_{cy}} = \frac{1}{3}        radius  are the same

6 0
2 years ago
Leah borrows £10,000 over 5 years at a simple interest rate of 15%.
Fynjy0 [20]

Answer:

She will pay $7,500 interest over the 5 years

She will have to pay back $17,500 in total

Step-by-step explanation:

Let us revise the rule of the simple interest

<em>I</em> = <em>Prt</em> and <em>A</em> = <em>P</em>(1 +<em> rt</em>) , where:

  • A = Total Accrued Amount (principal + interest)
  • P = Principal Amount
  • I = Interest Amount
  • r = Rate of Interest per year in decimal
  • t = Time Period involved in months or years

∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

∴ P = 10,000

∴ t = 5

∴ r = 15% = \frac{15}{100} = 0.15

→ Substitute them in the first rule to find the interest

∵ I = 10,000(0.15)(5)

∴ I = 7,500

∴ She will pay $7,500 interest over the 5 years

→ Let us find A

∵ A = 10,000(1 + 0.15×5)

∴ A = 17,500

∴ She will have to pay back $17,500 in total

5 0
2 years ago
The population of New York City is 8 million people. Buddy is only one person living in New York. What is this number as a decim
34kurt
Hello there! To find numbers in decimal form, you divide. In this case, you divide 1 by 8 million. When you do, you get 0.000000125 as a decimal or one hundred twenty-five billionths in word form.
6 0
2 years ago
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