All categories

2 years ago

A number multiplied by 2/5 is 3/20

Mathematics

2 answers:

katen-ka-za [31]2 years ago

8 0

5x4=20 2 *3 is 6 so 6/20 simplify is you are able yada yada

Ilya [14]2 years ago

7 0

Answer:

$x=\frac{3}{8}$

Step-by-step explanation:

A number multiplied by 2/5 is 3/20 is expressed like this:

$\frac{2}{5}x=\frac{3}{20}$

Now, we have to solve for $x$ . Remember that "a number" always represents the unknown letter.

$\frac{2}{5}x=\frac{3}{20}\\x=\frac{3(5)}{20(2)}=\frac{15}{40}=\frac{3}{8}$

So, the number is 3/8. Let's test it:

$\frac{2}{5}(\frac{3}{8})=\frac{3}{20}$

$\frac{6}{40}=\frac{3}{20}$

$\frac{3}{20}=\frac{3}{20}$

As you can see, the number we found satisfies the expressions.

Therefore, the answer is

$x=\frac{3}{8}$

You might be interested in

On a Friday evening a pizza shop had orders for 4 pepperoni, 97, and 335 cheese pizzas. If the 4 cooks each made an equal number

aksik [14]

Add the order of pizzas together and divide by four. Round your answer.

5 0

2 years ago

Read 2 more answers

You research the average cost of whole milk for several recent years to look for trends. The table shows your data. What is the

Rashid [163]

The <em>correct answers</em> are:

y = 0.10x + 2.50; $5.

Explanation:

Using a graphing calculator, we enter the data in the STAT function. The year will be the independent (x) variable and the cost will be the dependent (y) variable.

For the year, instead of starting at 1998, we will start at 0, since that is where we started measuring. This means the year 2000 will be 2; 2002 will be 4; etc, up to x=10.

Running the linear regression, the calculator gives us a slope of 0.10 and a y-intercept of 2.499, or 2.50. This makes the equation y = 0.10x + 2.50.

To predict the price in 2023, we first find what our x-value will be. Subtract 1998 from this:

2023-1998 = 25

Now substitute 25 in place of x in the equation:

y = 0.10(25) + 2.50 = 2.50 + 2.50 = 5

5 0

2 years ago

World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha

dezoksy [38]

Answer:

A) $P(t)=77.2\cdot e^{0.016t}$

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form $y=a\cdot e^{kx}$ , where,

a = Initial value,

k = Growth rate in decimal form.

$1.6\%=\frac{1.6}{100}=0.016$

Upon substituting our given values, we will get:

$P(t)=77.2\cdot e^{0.016t}$

Therefore, our required function would be $P(t)=77.2\cdot e^{0.016t}$ , where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute $t=2013-2004=9$ in above formula as:

$P(9)=77.2\cdot e^{0.016(9)}$

$P(9)=77.2\cdot e^{0.144}$

$P(9)=77.2\cdot 1.1548841085249135$

$P(9)=89.1570531781\approx 89.157$

Therefore, the world poultry production in the year 2013 would be 89.157 million tons.

C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:

$95=77.2\cdot e^{0.016t}$

Divide both sides by 77.2:

$1.2305699481865285=e^{0.016t}$

Take natural log of both sides:

$\text{ln}(1.2305699481865285)=\text{ln}(e^{0.016t})$

$\text{ln}(1.2305699481865285)=0.016t\text{ln}(e)$

$0.20747743456981035=0.016t*1$

Divide both sides by 0.016:

$t=12.9673396606$

$t\approx 13$

Therefore, 13 years after in 2017 world poultry production goes over 95 million tons.

4 0

2 years ago

A sinusoidal function whose period is π/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3. What is the equ

Eddi Din [679]

Answer:

$f(\theta)=3+7sin(4\theta)$

Step-by-step explanation:

The sinusoidal function has a general form of:

$f(\theta)=Y+Asin(k\theta)$

The period is given by:

$P=\frac{2\pi}{k}\\\frac{\pi}{2}= \frac{2\pi}{k}\\k=4$

Y is the y-intercept, thus y = 3.

At the maximum value:

$f(max) = Y+A\\10 = 3+A\\A=7$

At the minimum value:

$f(min) = Y-A\\-4 = 3-A\\A=7$

Therefore, the equation of the function described is:

$f(\theta)=3+7sin(4\theta)$

6 0

2 years ago

Mai spends 7 and 3/5 hours in school each day. Her lunch period is 30 minutes long, and she spends a total of 42 minutes switchi

Sonja [21]

First, we solve for the number of minutes in 7 and 3/5 hours by multiplying the number by 60 giving us,
(7 + 3/5) x (60) = 456 minutes
Spending 30 minutes for lunch will leave her with 426 minutes. Then, spending 42 minutes for switching of classes will finally give her 414 minutes.

We then divide this value by 6 (for her 6 classes) giving us 69 minutes. Thus, each class is 69 minutes long.

8 0

2 years ago