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2 years ago

Rational numbers with distribute property

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

4 0

I'm not sure what this means. If you have choices you should list them.

(1/2)*(1/4 + 1/6) is an example of what should be given. There are two ways to solve this.

1. Use the distributive property.

1/2*1/4 + 1/2* 1/6

1/8 + 1/12 Which can be added using the LCD of 24

3/24 + 2/24 = 5/24

Method 2

Add what is inside the brackets first.

1/2 ( 1/4 + 1/6)

1/2(3/12 + 2/12 = 5/12

Now multiply by 1/2

1/2(5/12) = 5*1/(12 * 2) = 5 / 24 Same answer.

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Is y equals 3x + 2 proportional number or non proportional

vodomira [7]

Answer:

Non-proportional

Step-by-step explanation:

because it has a y-intercept of 2 in order for it to be proportional its y-intercept should be 0.

3 0

2 years ago

Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by p = 130e0.0205t,wh

svetoff [14.1K]

Answer: a) 236,000.

b) 2021

Step-by-step explanation:

Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by $p = 130e^{0.0205t}$ (1)

where t = 0 corresponds to 1980.

Then , for 2009

t= 2009-1980=29

a. ⇒The population of Phoenix in 2009 = $p = 130e^{0.0205(29)}$

$p = 130e^{0.5945}$

$p =130(1.81212465608)=235.57620529\approx236$

Hence, the population of Orlando in 2009 was about 236,000.

b) Substitute p= 300 in (1) , we get

$300 = 130e^{0.0205t}$

$2.3077= e^{0.0205t}$ (Divide both sides by 130)

Taking Natural log on both sides,

$\ln(2.3077) = 0.0205t\\\\\Rightarrow\ t=\dfrac{\ln(2.3077)}{0.0205}$

$t=\dfrac{0.836251357528}{0.0205}=40.7927491477\approx41$

Hence, The year Orlando will have a population of 300,000 =1980+41 =2021

6 0

3 years ago

What is 21 inches to 9 feet in simplest form

Olenka [21]

2.41667, you can also find a converter online.

7 0

3 years ago

.Bryan was given the equation y= -5x+3. He says the rate of change is 3 and the initial value is -5. Is Bryan correct? If not, c

Mekhanik [1.2K]

Answer:

Correct rate of change is -5; correct initial value is 3.

Step-by-step explanation:

The rate of change is the coefficient of the x term, which here is -5. So Bryan has the rate of change wrong.

The initial value of the function is found by letting x = 0. Here, we get

y = -5(0) + 3, or y = b = 3. The initial value is 3, not -5.

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2 years ago

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fi

liubo4ka [24]

The problem statement suggests you should convert dimensions to inches to work this problem.
.. 2.75 ft = 33 in
.. 1.5 ft = 18 in
The empty height is
.. 0.6*7 in = 4.2 in
so the empty volume is
.. V = (33 in)*(18 in)*(4.2 in) = 2494.8 in³

Multiplying this by the conversion factor to gallons gives
.. V = (2494.8 in)³ × (1 gal)/(231 in³) = 10.8 gal

It will take 10.8 gallons of gas to fill the tank.

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3 years ago