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4 years ago

Create a model to show 2 × 5.

Mathematics

1 answer:

Sliva [168]4 years ago

5 0

Answer:

The model is shown in the attached picture. The solution is 10.

Step-by-step explanation:

There are two way of showing a model for 2×5

The tape diagram has 2 equal-sized parts of 5
The tape diagram has 5 equal-sized parts of 2

Both models give the same solution:

5+5=10
2+2+2+2+2=10

In the attached picture we can show two types of diagram.

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How would I write an equation for a line with a slope of ²/³ that has a y-intercept at -2

lawyer [7]

Answer:

y= 2/3x -2

Explanation:

The formula is Y=MX+B

M=slope

B=y-intercept

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3 years ago

The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock

FinnZ [79.3K]

Answer:

$855,000
Dividend per share of common stock = $1.06

Step-by-step explanation:

1. Preferred Share dividends.

There are 300,000 preference shares and each of them got $2.85. Total dividends are;

= 300,000 * 2.85

= $855,000‬

2. Total dividends = $3,500,000

Dividends left for Common Shareholders (preference gets paid first)

= 3,500,000 - 855,000

= $2,645,000

Common shares number 2,500,000

Dividend per share of common stock = $\frac{2,645,000}{2,500,000}$

= $1.06

7 0

4 years ago

The temperature at noon is 0°C. The temperature changes buy-3/2°C every hour for 4 hours. Write a expression to represent this s

aniked [119]

Answer:

So the temperature at 4:00 pm which is exactly 4 hours from 12 noon is -3/2°c

T = To + (-3/2°c)x

Where x is the fraction of 4 in hours

Step-by-step explanation:

Its a very simple Expression.

First we consider the first temperature at first time which is 0°c at 12 noon which I initial time, i.e t= 0.

For every four hour change , the temperature adds -3/2°c .

So the temperature at 4:00 pm which is exactly 4 hours from 12 noon is -3/2°c

The expression to know the temperature is

T = To + (-3/2°c)x

Where x is the fraction of 4 in hours

6 0

4 years ago

Find the number that makes the ratio equivalent to 6:10. 60:

Mumz [18]

Answer:

60;100

Step-by-step explanation:

Multiply 10 each side

5 0

3 years ago

What is the equation in standard form of a parabola that models the values in the table

shusha [124]

Answer:

Y=4x^2-3x+5

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

$Y=-4x^2+3x+5$ for (-1,12)

$Y=-4(-1)^2+3(-1)+5=-4(1)+-3+5=-4+-3+5=-2\\$

This does not give 12 as the answer and is not a solution.

$Y=-4x^2-3x+5$ for (-1,12)

$Y=-4(-1)^2-3(-1)+5=-4(1)+3+5=-4+3+5=4\\$

This does not give 12 as the answer and is not a solution.

$Y=3x^2-4x+5$ for (-1,12)

$Y=3(-1)^2-4(-1)+5=3(1)+4+5=3+4+5=12\\$

This does give 12 as the answer and is a possible solution.

We now try (2,15).

$Y=3(2)^2-4(2)+5=3(4)-8+5=12-8+5=9\\$

This does not give 15 as the answer and is not a possible solution.

$Y=4x^2-3x+5$ for (-1,12)

$Y=4(-1)^2-3(-1)+5=4(1)+3+5=4+3+5=12\\$

This does not give 12 as the answer and is not a solution.

We now try (2,15).

$Y=4(2)^2-3(2)+5=4(4)-6+5=16-6+5=15\\$

This does give 15 as the answer and is a solution.

This is the standard form of the equation.

5 0

3 years ago