Ask question

Ask question

All categories

1 year ago

5

Marcelo played a carnival game at the Interstate Fair 6 times. He spent 3 tokens to play each game, and he won 7 tokens each gam

e. Write two different expressions that can be used to find the total profit in tokens that Marcelo made.

1 answer:

atroni [7]1 year ago

6 0

Hhiiiiiiiiiiiiiiiiiiiiiiiiiiiii

You might be interested in

An employee compiled sales data for a company once each month. The scatter plot below shows the sales (in multiples of $1000) fo

ss7ja [257]

Answer:

$50,100

Step-by-step explanation:

Given the scatter plot and the linear model, we can estimate that the total sales for the company after 40 months will be close to $50,000. However, in order to get a more precise answer, we can solve for the total sales, 'y', based on the number of months, 'x', in the given linear model:

y = 0.94(40) + 12.5 = 37.6 + 12.5 = 50.1

Since the amount of sales is in multiples of $1000:

50.1 * 1,000 = $50,100

3 0

2 years ago

Read 2 more answers

find the scale, k, of H(3,4) if H'(9,12) after going through the transformation (x,y) ---> (kx,ky) centered at the origin

stiks02 [169]

The value of scale k is 3

Step-by-step explanation:

In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.

Given

H(3,4)

H'(9,12)

The coordinates of H are multiplied with some integer k to form H'

So,

<u>For x-coordinate:</u>

3k = 9

k = 9/3 = 3

<u>For y-coordinate:</u>

4k = 12

k = 12/4 = 3

Hence,

The value of scale k is 3

Keywords: Coordinate geometry, scaling

Learn more about scaling at:

#LearnwithBrainly

5 0

1 year ago

A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si

Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

$Area = 128$

Let the dimension of the paper be x and y;

Such that:

$Length = x$

$Width = y$

So:

$Area = x * y$

Substitute 128 for Area

$128 = x * y$

Make x the subject

$x = \frac{128}{y}$

When 1 inch margin is at top and bottom

The length becomes:

$Length = x + 1 + 1$

$Length = x + 2$

When 2 inch margin is at both sides

The width becomes:

$Width = y + 2 + 2$

$Width = y + 4$

The New Area (A) is then calculated as:

$A = (x + 2) * (y + 4)$

Substitute $\frac{128}{y}$ for x

$A = (\frac{128}{y} + 2) * (y + 4)$

Open Brackets

$A = 128 + \frac{512}{y} + 2y + 8$

Collect Like Terms

$A = \frac{512}{y} + 2y + 8+128$

$A = \frac{512}{y} + 2y + 136$

$A= 512y^{-1} + 2y + 136$

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

$A' = -512y^{-2} + 2$

Set

$A' = 0$

This gives:

$0 = -512y^{-2} + 2$

Collect Like Terms

$512y^{-2} = 2$

Multiply through by $y^2$

$y^2 * 512y^{-2} = 2 * y^2$

$512 = 2y^2$

Divide through by 2

$256=y^2$

Take square roots of both sides

$\sqrt{256=y^2$

$16=y$

$y = 16$

Recall that:

$x = \frac{128}{y}$

$x = \frac{128}{16}$

$x = 8$

Recall that the new dimensions are:

$Length = x + 2$

$Width = y + 4$

So:

$Length = 8 + 2$

$Length = 10$

$Width = 16 + 4$

$Width = 20$

To double-check;

Differentiate A'

$A' = -512y^{-2} + 2$

$A" = -2 * -512y^{-3}$

$A" = 1024y^{-3}$

$A" = \frac{1024}{y^3}$

The above value is:

$A" = \frac{1024}{y^3} > 0$

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0

1 year ago

Which situation involves descriptive statistics?

zmey [24]

They all involve descriptive statistics.

8 0

1 year ago

Read 2 more answers

Stephanie put $80 in her bank account when she was five years old. The bank gave her a simple interest rate of 2.1%.

Brut [27]

Answer:

2000

Step-by-step explanation:

4 0

1 year ago