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Anettt [7]
2 years ago
15

Find the greatest number which exactly divides 735 and 1155

Mathematics
2 answers:
slavikrds [6]2 years ago
7 0

Answer:

The greatest number which exactly divides 735 and 1155 is 105.

Step-by-step explanation:

Consider the provided numbers 735 and 1155.

The prime factorization of the number 735 is:

735=3×5×7×7

The prime factorization of the number 1155 is:

1155=3×5×7×11

The greatest common multiple of the numbers 735 and 1155 is:

3×5×7=105

Hence, the greatest number which exactly divides 735 and 1155 is 105.

Semmy [17]2 years ago
5 0

1155/735 =1 with remainder of 420

735/420 = 1 with remainder of 315

420/315 = 1 with remainder of 105

315/105 = 3 with no remainder

 so 105 is the largest number


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The weight of a USB flash drive is 30 grams and is normally distributed. Periodically, quality control inspectors at Dallas Flas
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Answer:

The critical t values are -1.746 and 1.746.

Step-by-step explanation:

Given information:

The weight of a USB flash drive is 30 grams and is normally distributed.

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A box of buttons contains the same number of each type of button. It contains 220g of buttons
ra1l [238]

Answer:

a) 18 button a buttons are required to fill the bag.

b) 12 button b buttons are required to fill the bag.

c) There are 11 buttons of each type in the box containing 220 g of buttons.

Step-by-step explanation:

Complete Question

Two button types, button a weighing 8 grams and button b weighing 12 grams. The buttons are sold in bags. Each bag contains 144 grams of buttons.

a) How many of button a are needed to fill one bag?

b) How many of button b are needed to fill one bag?

c) A box of buttons contains the same number of each type of button it contains 220g of buttons. How many of each type of button are in the box.

Solution

a) A bag contains 144 grams of buttons.

Button a weighs 8 grams per button.

Total number of button a buttons required to fill up the bag = (144/8) = 18 button a buttons.

b) A bag contains 144 grams of buttons.

Button b weighs 12 grams per button.

Total number of button b buttons required to fill up the bag = (144/12) = 12 button a buttons.

c) A box of buttons weighing 220 g contains the same number of each type of button.

Let this number be n.

This means the Total weight of button a buttons in this box = 8n

total weight of button b buttons in this box = 12n

Sum total of the weight of the buttons = 8n + 12n = 20n

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n = (220/20) = 11.

This means there are 11 buttons of each type in the box containing 220 g of buttons.

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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:

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  • P = Principal Amount
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∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

∴ P = 10,000

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→ Substitute them in the first rule to find the interest

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∴ 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
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