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2 years ago

What is a strategy for dividing 428 by 107?

Mathematics

1 answer:

Ad libitum [116K]2 years ago

5 0

Answer:

Step-by-step explanation:

428÷107

Use the 1 st

digit 4 from dividend 428

107)1

107)428

Since 4 is less than 107, use the next digit 2 from dividend 428 and add 0 to the quotient

107)02

107)428

Use the 2nd

digit 2 from dividend 428

107)03

107)428

Since 42 is less than 107, use the next digit 8 from dividend 428 and add 0 to the quotient

107)004

107)428

Use the 3rd

digit 8 from dividend 428

107)005

107)428

Find closest multiple of 107 to 428. We see that 4×107=428 is the nearest. Now subtract 428 from 428 to get reminder 0. Add 4 to quotient.

107)0046

107)428

107)9990

Since 0 is less than 107, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

Quotient: 4

Reminder: 0

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2 years ago

The inside ring of packing tape has a diameter of 80 mm. The tape surrounding the ring is 8 mm beyond the ring. What is the dist

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Answer:

301.44 mm

Step-by-step explanation:

Diameter of the inside ring of a packing tape = 80 mm

The tape surrounding the ring is 8 mm beyond the ring which means the diameter of the ring including the surrounding will be:

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3 years ago

16 pairs of socks cost $40 write the unit rate to find the cost of each pair

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2 years ago

An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it cli

tigry1 [53]

Answer:

15 seconds.

Step-by-step explanation:

∵ The distance covered by plane in first second = 100 ft,

Also, in each succeeding second it climbs 100 feet more than it climbed during the previous second,

So, distance covered in second second = 200,

In third second = 300,

In fourth second = 400,

............, so on....

Thus, the total distance covered by plane in n seconds = 100 + 200 + 300 +400......... upto n seconds

$=\frac{n}{2}(2\times 100 + (n-1)100)$ ( Sum of AP )

$=\frac{n}{2}(200+100n-100)$

$=\frac{n}{2}(100+100n)$

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Suppose the distance covered in n seconds is 12,000 feet,

$\implies 50n+50n^2=12000$

$n+n^2=240$

$n^2+n-240=0$

$n^2+16n-15n-240=0$

$n(n+16)-15(n+16)=0$

$(n-15)(n+16)=0$

$\implies n=15\text{ or }n=-16$

∵ n can not be negative,

Hence, after 15 seconds the plane will reach an altitude of 12,000 feet above its takeoff height.

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2 years ago

Read 2 more answers

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3 years ago