MATHEMATICS HIGH SCHOOL

An albatross is a large bird that can fly 600 kilometers in 15 hours at a constant speed. Using LaTeX: dd for distance in kilometers and LaTeX: tt for number of hours, an equation that represents this situation is LaTeX: d=40td = 40 t . What are two constants of proportionality for the relationship between distance in kilometers and number of hours?

Answers

Answer 1

Answer:

Answer:

The constant is 40

Step-by-step explanation:

According to the question we are given an equation that represents the given situation as d = 40t where;

d is the distance in km

t is the time in seconds.

The given function is a direct proportionality. For example if p is directly proportional to q, this is expressed as p ∝ q where ∝ is the proportionality sign. In order to remove the sign we will introduce a constant say "k". The equation will become;

p = kq (p and q are the variables)

A direct proportionality means that as a variable is increasing, the other is increasing and vice versa. Comparing p = kq with d = 40t, we can see that k is equal to 40 and d is directly proportional to t

Hence the constants of proportionality for the relationship between distance in kilometers and number of hours is 40 on comparing.

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Help?? I suck in the math field so please help

Answers

Hello,
PO²=12²+5²=13²

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Mrs hudson can grade 1 1/3 math papers in 8 seconds how many math papers can she grade per second

Answers

Answer:

Step-by-step explanation:

the rate is 1 1/3 math papers per every 8 seconds so you could put it as a fraction: (1 1/3 )/8. you would then divide to get 1/6 math papers per second as your answer

Tarik is trying to save $265.49 to buy a new tablet. Right now, he has $40 and can save $38 a week from his allowance. Write and evaluate an expression to represent the amount of money saved after ; 2 weeks 3 weeks 4 weeks When will Tarik have enough money to buy the tablet? Write an inequality that will generalize the problem.

Answers

Answer:

- After 2 weeks, Tarik will have $116 saved.

- After 3 weeks, Tarik will have $154 saved.

- After 4 weeks, Tarik will have $192 saved.

- Tarik will have enough money to buy the tablet after 6 weeks.

- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.

Step-by-step explanation:

To represent the amount of money saved after a certain number of weeks, we can use the expression:

Amount of money saved = $40 + ($38 * number of weeks)

Let's evaluate this expression for 2 weeks, 3 weeks, and 4 weeks:

For 2 weeks:

Amount of money saved = $40 + ($38 * 2)

Amount of money saved = $40 + $76

Amount of money saved = $116

For 3 weeks:

Amount of money saved = $40 + ($38 * 3)

Amount of money saved = $40 + $114

Amount of money saved = $154

For 4 weeks:

Amount of money saved = $40 + ($38 * 4)

Amount of money saved = $40 + $152

Amount of money saved = $192

To determine when Tarik will have enough money to buy the tablet, we need to set up an inequality. Let's represent the cost of the tablet as C:

Amount of money saved >= Cost of the tablet (C)

In this case, the cost of the tablet is $265.49. Therefore, the inequality becomes:

$40 + ($38 * number of weeks) >= $265.49

To solve this inequality, we can subtract $40 from both sides:

$38 * number of weeks >= $265.49 - $40

$38 * number of weeks >= $225.49

Finally, we divide both sides of the inequality by $38 to solve for the number of weeks:

number of weeks >= $225.49 / $38

number of weeks >= 5.93 (approximately)

Since the number of weeks must be a whole number, Tarik will have enough money to buy the tablet after 6 weeks.

To summarize:

- After 2 weeks, Tarik will have $116 saved.

- After 3 weeks, Tarik will have $154 saved.

- After 4 weeks, Tarik will have $192 saved.

- Tarik will have enough money to buy the tablet after 6 weeks.

- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.

25 per cent of 600 is equal to 15 per cent of what number?

Answers

$25\% * 600 = 15\%*x$

$x=600* (0,25)/(0,15)$

$x=600* (5)/(3)$

$x=1000$

1000 :) 15% of 1000 is 150, which is 25% of 600

A supervisor finds the mean number of miles that the employees in a department live from work. Which mileage is within a z-score of 1.5? A. 21 miles B. 24 miles C. 36 miles D. 41 miles

Answers

The z-score tells you how many standard deviations from the mean.

1.5 * 3.6 = 5.4 miles

So anything within 5.4 miles of the average (29).

The range would be:
29 - 5.4 = 23.6
to:
29 + 5.4 = 34.4

23.6 ≤ x ≤ 34.4

Answer:
B) 24 miles

The mileage is within a z-score of 1.5 is (b) 24 miles