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Y_Kistochka [10]
3 years ago
13

7) To determine how many pages would be need to make 3

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

Answer:

368

Step-by-step explanation:

8*46

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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
A college student is interested in testing whether business majors or liberal arts majors are better at trivia. The student give
attashe74 [19]

Answer:

There is no significant difference between the two averages at 5% level

Step-by-step explanation:

Given that a a college student is interested in testing whether business majors or liberal arts majors are better at trivia.

The student gives a trivia quiz to a random sample of 30 business school majors and finds the sample’s average test score is 86. He gives the same quiz to 30 randomly selected liberal arts majors and finds the sample’s average quiz score is 89

Thus he has done a hypothesis testing for comparison of two means of different subjects.  n =30

H_0: Mean of business majors = Mean of liberal arts majos\\H_a:Mean of business majors \neq  Mean of liberal arts majos

Since which is better is not claimed we use two tailed test here

We find that p value = 0.0524 >5% our alpha

Since p >alpha, we find that there is no significant difference between the averages of these two groups and null hypothesis is accepted

4 0
3 years ago
What is the slope of the line that passes through the points (2,-6) and (-3,7)?
dmitriy555 [2]
B. -13/5
(7- -6)/(-3-2)
5 0
3 years ago
Sonoma bikes 5 miles to Paige's house. On a map, they measure that distance as 5/6cm. The same map shows that the mall is 3 1/2c
Elden [556K]
Simplify fraction then subtract fractions
7 0
3 years ago
Given a right triangle with a hypotenuse of 15 feet and a height of 6 feet, find the measurement of angle
Artist 52 [7]

Answer:

66.42° between height and hypotenuse

23.58° between base and hypotenuse

Step-by-step explanation:

Using the concept of cosine and sine, we know that cosine of an angle is equal to the adjacent divided by hypotenuse.

Similarly, sine of an angle is given by opposite divided by hypotenuse

Tangent is given by opposite divided by adjacent

In rhis case, we use cosine

\theta=cos^{-1}(\frac {6}{15})=66.4218215217982\\\theta\approx 66.42^{\circ}

Therefore, the angle between the hypotenuse and height is 66.42°

To find the angle between base and hypotenuse, since it is a right angle triangle then the other angle will be 90-66.42=23.58°

8 0
3 years ago
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