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3 years ago

Next four multiples of the unit fraction:1/2

1 answer:

8 0

4 multiples of the fraction 1/2 are 2/4,4/8,6/12,8/16, and so on.There are a lot of multiples for 1/2. Hope those 4 multiples help you out. :)

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A 15-inch candle is lit and burns at a constant rate of 1.6 inches per hour.

Naily [24]

Answer:

c = 15: The height of candle is 15 inches when it is not lit.

m = -1.6: The height of candle decreases 1.6 inches for every hour it is lit.

Step-by-step explanation:

We are given the following in the question:

Height of candle = 15 inches

$f (t) = 15 - 1.6 t$

This function gives the length of the candle in inches left after it was burn for t hours.

Comparing the given equation to a linear equation, we have:

$y = mx + c$

where m is the slope and c is the y-intercept.

Comparing we, get

m = -1.6 and c = 15

Interpretation:

c = 15 mean the y-intercept is 15 that is he value of function when t = 0, thus, the height of candle is 15 inches when it is not lit.

m = -1.6 is the rate of change of the function when t increases by 1 unit that is the height of candle decreases 1.6 inches for every hour it is lit.

3 0

3 years ago

A school has 200 students and spends $40 on supplies for each student. The principal expects the number of students to increase

34kurt

Step-by-step explanation:

The predicted number of students over time, S(t)

Rate of increment is 5% per year.

A function 'S(t)' which gives the number of students in school after 't' years.

S(0) means the initial year when the number of students is 200.

S(0) = 200

S(1) means the number of students in school after one year when the number increased by 5% than previous year which is 200.

S(1) = 200 + 5% of 200 = = =

S(2) means the number of students in school after two year when the number increased by 5% than previous year which is S(1)

S(2) = S(1) + 5% of S(1) = = =

Similarly

The predicted amount spent per student over time, A(t)

Rate of decrements is 2% per year.

A function 'A(t)' which gives the amount spend on each student in school after 't' years.

A(0) means the initial year when the number of students is 40.

A(0) = 40

A(1) means the amount spend on each student in school after one year when the amount decreased by 2% than previous year which is 40.

A(1) = 40 + 2% of 40 = = =

A(2) means the amount spend on each student in school after two year when the amount decreased by 2% than previous year which is A(1)

A(2) = A(1) + 2% of A(1) = = =

Similarly

The predicted total expense for supplies each year over time, E(t)

Total expense = (number of students) × (amount spend on each student)

E(t) = S(t) × A(t)

(NOTE : The value of x in all the above equation is between zero(0) to ten(10).)

4 0

3 years ago

Gennadij [26K]

Answer:

15.5 or 15 and a half cups of flour

Step-by-step explanation:

1/2 = 0.5

14 + 0.5 + 1 = 15.5

8 0

3 years ago

Read 2 more answers

BRAINLIEST TO CORRECT

GarryVolchara [31]

Since the common denominator is the same, ignore the 2 and do -4/5-2/5= -6/5

-6/5 as a mixed number is -1 1/5. Add the 2 to the 1 and you get: -3 1/5

Another method:

Make everything an improper fraction:
-14/5-2/5 = -16/5= -3 1/5

4 0

3 years ago

Read 2 more answers

Find the arc length of the semicircle.

Elenna [48]

A semicircle is a half of a circle.

Find the circumference of a full circle then divide in half.

Circumference = pi x r x 2

Circumference = 3.14 x 9 x 2 = 56.52

Semicircle = 56.52/2 = 28.26

3 0

4 years ago