Ask question

Ask question

All categories

3 years ago

11

A gym has yoga classes. Each class has 11 students. If there are c classes , write the equation to represent the total number of

students s taking yoga

1 answer:

kogti [31]3 years ago

8 0

11 x c= s

you have 11 students in one class. you multiple the unknown number of classes(c). to get the total amount of students( s)

You might be interested in

A rectangular page is to contain 24 sq. in. of print. The margins at the top and bottom of the page are each 1.5 inches. The mar

suter [353]

Answer:

Dimensions of page should be width of 6 inches and height of 9 inches

Step-by-step explanation:

Let x be the width of the printed part in inches

Let y be height of the printed part in inches.

Thus, Area of printed part; A = xy

And area of printed part is given as 24.

Thus, xy = 24

Making y the subject, we have;

y = 24/x

Now, the question says the top and bottom margins are 1.5 inches.

Thus, width of page = x + 1 + 1 = x + 2

And also the margins on each side are both 1m in length, thus the height of page will be:

y + 1.5 + 1.5 = y + 3

So area of page will now be;

A = (x + 2)•(y+3)

From earlier, we got y = 24/x

Thus,plugging this into area of page, we have;

A = (x + 2)•((24/x)+3)

A = 24 + 3x + 48/x + 6

A = 30 + 3x + 48/x

For us to find the minimum dimensions, we have to find the derivative of A and equate to zero

Thus,

dA/dx = 3 - 48/x²

Thus, dA/dx = 0 will be

3 - 48/x² = 0

Multiply through by x²:

3x² - 48 = 0

Thus,

3x² = 48

x² = 48/3

x = √16

x = 4 inches

Plugging this into y = 24/x,we have;

y = 24/4 = 6 inches

We want dimensions of page at x = 4 and y = 6.

From earlier, width of page = x + 2.

Thus,width = 4 + 2 = 6 inches

Height = y + 3 = 6 + 3 = 9 inches

So dimensions of page should be width of 6 inches and height of 9 inches

4 0

3 years ago

On Monday, a museum had 350 visitors. On Tuesday, it had 680 visitors. Estimate the percent change in the number of visitors t

garri49 [273]

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that On Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:

= (680 - 350)/350 × 100

= 330/350 × 100

= 94.29%

The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:

= 680 + (94.29% × 680)

= 680 + (0.9429 × 680)

= 680 + 641

= 1321

7 0

3 years ago

Find an equation of a line with m=-3/8 passing through (3,4)

olga nikolaevna [1]

Answer:

$y=\frac{-3}{8}x + 5\frac{1}{8}$

Step-by-step explanation:

We are given;

The slope of a line as -3/8
A point through which the line passes through (3, 4)

We are required to determine the equation of the line.

Note that one way we can get the equation of a line is when we are given its slope and a point through which it passes through.

In this case;

m = -3/8

A point (3, 4)

We will take another point (x, y)

Therefore;

$\frac{y-4}{x-3}=\frac{-3}{8}$

We get;

$8(y-4)=-3(x-3)$

$8y-32=-3x+9$

Combining the like terms;

$8y=-3x+9+32$

$8y=-3x+41$

$y=\frac{-3}{8}x+5\frac{1}{8}$

Thus, the equation of the line is $y=\frac{-3}{8}x + 5\frac{1}{8}$

7 0

3 years ago

List the first five multiples of 101.

andrew-mc [135]

C is right I answered this question and got it right

3 0

3 years ago

A town has a population of 20000 and grows at 4% every year. How long will it be until the population will reach 39400?

olga55 [171]

Answer:

The population will be 39400 in approximately 17 years

Step-by-step explanation:

The increase in population after t years is given by the formula

$P_t = P_0(1+r)^t$

Here

P_0 is the initial population

r is the growth rate and t is time in years

So far we know,

P_0 = 20000

r = 4%

P_t = 39400

Putting the values in the formula

$39400 = 20000(1+0.04)^t\\39400 =20000(1.04)^t\\\frac{39400}{20000} = (1.04)^t\\1.97 = (1.04)^t$

Taking natural log on both sides

$ln |(1.04)^t| = ln |1.97|\\t\ ln\ |1.04| = ln\ |1.97|\\t = \frac{ln\ 1.97}{ln\ 1.04}\\t = 17.287\\t \approx 17$

Hence,

The population will be 39400 in approximately 17 years

8 0

3 years ago