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Iteru [2.4K]
3 years ago
11

Four times a number is at least 2

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0
Four times a number (4 times x since x represents unknown) is at least (<) two (2)

4x>2
divide both sides by 2
2x>1
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Starting at the same point at the same time, Samuel and Heather rode their bikes in the same direction. Samuel traveled 3km/h fa
12345 [234]

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

   and equate the difference by 8

∵ 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

3 0
3 years ago
HELP! I need to pass this test
Eva8 [605]
The answer is D
i plugged in all the equations and the equation for D is the one that works
5 0
3 years ago
-8(6+X) + 4(2x + 7) = 0
Talja [164]

Answer:

-20 = 0

Step-by-step explanation:

-8 (6 + x) + 4 (2x + 7) = 0

-48 - 8x + 8x + 28 = 0

-20 = 0

3 0
2 years ago
You have 500 ft of fencing all rolled up and you want to make a rectangular playground area for your son. What are the dimension
alex41 [277]
The largest area would be a square with 125 ft of fencing on each side.

Hope this helps
6 0
3 years ago
Read 2 more answers
Is this statement true or false -7 -2 &gt; 6 - 14
exis [7]

Answer:

false

Step-by-step explanation:

(-7-2) > (6-14)

-7-2 = -9

6-14 = -8

-9 is not > -8, because -9 is farther to the left on a number line. So, this statement would be false.

6 0
3 years ago
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