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2 years ago

HELP ITS URGENT!! I really need the answer if you this please respond ! :)

Mathematics

1 answer:

zhuklara [117]2 years ago

3 0

Answer:

5/16

Step-by-step explanation:

The sequence is dividing by 2 each time. Just continue the process!

1st term: 10

2nd term: 10/2 = 5

3rd term: 5 / 2 = 5/2

4th term: 5/2 / 2 = 5/2 * 1/2 = 5/4

5th term: 5/4 / 2 = 5/4 * 1/2 = 5/8

6th term: 5/8 / 2 = 5/16

hope this helps! <3

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At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

4 0

3 years ago

Use the GCF to factor this expression: 90x + 4

Nitella [24]

90x + 4
Factor out GCF
2 ( 45x + 2)

3 0

4 years ago

16. Jason leaves Detroit at 2: 00 PM and drives at a constant speed west along I-94. He passes Ann Arbor, 40 mi from Detroit, at

Vesna [10]

Answer:

at 2: 00 PM constant speed may 4:00 constant speed

Step-by-step explanation:

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2 years ago

Which is a correct expansion of (4x + 1)(2x - 2)?

bekas [8.4K]

Answer:

8x^2 -6x-2

Step-by-step explanation:

formula= ab^2(- or +)b-ab

3 0

3 years ago

to find the product 3 3/8 * 4 1/9.tara rewrote 3 3/8 as 17/8 amd 4 1/9 as 13/9. she multiplies the fractions to find the product

Ymorist [56]

Answer:

The error Tara made is she rewrote incorrectly 3 3/8 as 17/8 and 4 1/9 as 13/9,

the corrected number can be rewrote as 3 3/8 as 27/8 and 4 1/9 as 37/9.

Step-by-step explanation:

To find the Product of:

$3\frac{3}{8}\times 4\frac{1}{9}$

The Number can be rewrote as,

$\frac{3\times8+3}{8}\times \frac{4\times9+1}{9}\\\\\frac{24+3}{8}\times \frac{36+1}{9}\\\\\frac{27}{8}\times \frac{37}{9}$

Tara made error here she rewrote the number incorrectly 3 3/8 as 17/8 amd 4 1/9 as 13/9.

Now multiplying the fraction we get

$\frac{999}{72}$

Because she rewrote incorrectly which led her answer to multiplication of fraction, the product too was incorrect which she wrote as 221/72.

3 0

3 years ago