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Semenov [28]
3 years ago
6

Jaime claims that when you multiply a ehole number by 100, the decimal point moves 2 places to the right. Salome argues that the

decimal point only moves when you multiply a decimal by 100. Salome says that when you multiply a whole number by 100, the product has 2 extra zeros. Who is correct?
Mathematics
2 answers:
il63 [147K]3 years ago
7 0
Jaime is correct!! Ok hope this helped
Pepsi [2]3 years ago
5 0
Jaime is correct,

because when you turn a decimal into percent, you move the decimal two places, you are basically multiplying by 100.<span />
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Samuel was going with 40 km/h and Heather was going with 37 km/h

Step-by-step explanation:

Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction

  • Samuel traveled 3 km/h faster than Heather
  • After 3.5 h Samuel stopped for a half-hour break, but Heather kept going
  • Heather was 8 km ahead of Samuel

We need to find how fast each was going

Assume that Heather's speed is x km/h

∵ Heather's speed = x km/h

∵ Samuel traveled 3 km/h faster than Heather

∴ Samuel's speed = x + 3 km/h

The formula of the distance is distance = speed × time

∵ Samuel travel for 3.5 hours

- Find the distance that Samuel traveled in 3.5 h

∴ Samuel distance = (x + 3) × 3.5

- Multiply the bracket by 3.5 to simplify

∴ Samuel distance = 3.5x + 10.5

∵ Samuel took a break for half hour

∵ Heather kept going

∵ At the end of the break, Heather was 8 km ahead of Samuel

- That means Heather was going for 4 hours (3.5 + 0.5), and her

   distance is longer than Samuel distance by 8 km

∴ Heather distance = x × 4 = 4x

- Subtract the distance of Samuel from the distance of Heather

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∵ 4x - (3x + 10.5) = 8

∴ 4x - 3x - 10.5 = 8

- Add the like terms in the left hand side

∴ 0.5x - 10.5 = 8

- Add 10.5 to both sides

∴ 0.5x = 18.5

- Divide both sides by 0.5

∴ x = 37

∵ x represents Heather's speed

∴ Heather's speed = 37 km/h

∵ x + 3 represents Samuel's speed

∴ Samuel's speed = 37 + 3 = 40 km/h

Samuel was going with 40 km/h and Heather was going with 37 km/h

Learn more:

You can learn more about the equation of motion in brainly.com/question/568302

#LearnwithBrainly

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Assume the bear can walk in any direction at a rate of 2 miles per hour. Suppose the bear was last seen 4 hours ago.how large an
Arisa [49]
The bear can walk at a rate of 2 mph, which means after 4 hours it could have traveled 8 miles. That is our radius. To calculate the area of a circle, remember the formula
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Help please i have no idea how to do slope intercept form ​
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Answer:

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Step-by-step explanation:

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to increase the mean of 4 numbers by 2, by how much would the sum of the 4 numbers have to increase? check image.
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Answer:

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you'd have to increase the sum by 8 to make the numbers' averages' go up by 2

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