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2 years ago

I need to find a number that the "n" represents. The problem is 9/12=n/32

Mathematics

1 answer:

likoan [24]2 years ago

8 0

The given equation is

$\frac{9}{12} = \frac{n}{32}$

Here we have to solve for n. First we need to get rid of the denominators and for that we do cross multiplication .

$9*32 = 12n$

Now we need to isolate n. And for that we need to get rid of 12, by dividing both sides by 12

$\frac{9*32}{12}=n$

$\frac{288}{12} =n$

$n=24$

And that's the required value of n .

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Combining like terms with rational coefficients <br> 7/8m+9/10-2m-3/5

nikklg [1K]

Answer:

Ah yes, one of my favorite topics.

Step 1: Which ever fraction comes first, you will solve it first. For this question, focus on doing $\frac{7}{8}m-2m$ first. Afterwards, do $\frac{9}{10}-\frac{3}{5}$

Step 2: First one equals to 1.125. Next, find the LCD (lowest common dominator, which is 10). $\frac{9}{10} -\frac{6}{10}=\frac{3}{10}$

Step 3: 1.125+3/10

7 0

3 years ago

Here is a tunnel for a toy train.

jonny [76]

The <em>total</em> area of all six faces of the tunnel is $614.197\pi$ square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid ( $A$ ) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

$A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)$

$A = 614.197\pi\,cm^{2}$

The <em>total</em> area of all six faces of the tunnel is $614.197\pi$ square centimeters. $\blacksquare$

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

5 0

1 year ago

Help please<br>working too please!!!!.?

Alenkinab [10]

Step-by-step explanation:

(1) 4mn × 6mp × 3mnp

= 4 × 6 × 3 ( mn × mp × mnp)

= 72 × (m³n²p²)

72m³n²p²

sorry, I'm busy, won't be able to complete it

3 0

2 years ago

A medical clinic is reducing the number of incoming patients by giving vaccines before flu season. During week 5 of flu season,

8_murik_8 [283]

Answer:

$f(x) = -6x +120$

Step-by-step explanation:

Let's call y the number of patients treated each week

Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

$y = mx + b$

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

(5, 90)

We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

(10, 60).

Then we can find m and b using the followings formulas:

$m=\frac{y_2-y_1}{x_2-x_1}$ and $b=y_1-mx_1$

In this case: $(x_1, y_1) = (5, 90)$ and $(x_2, y_2) = (10, 60)$

Then:

$m=\frac{60-90}{10-5}$

$m=-6$

And

$b=90-(-6)(5)$

$b=120$

Finally the function that shows the number of patients seen each week at the clinic is:

$f(x) = -6x +120$

7 0

3 years ago

Read 2 more answers

Which is the best estimate of the correlation coefficient for the variables in the scatter plot?

V125BC [204]

By using a scatter plot we can get the relationship of two variables or correlation.

There will be two types of correlation.

If the data of the plot show a positive slope of the estimated line then it will be a positive correlation.

Now a correlation value lie between 0 to 1 if it is very close to 0 like 0.1 , 0.2 then we can say the correlation is weak psitively correlated. and if it will be close to 1 like 0.8 or 0.9 then the correlation will be strong.

Similarly if slope of the estimated line will be negative then it will be a negative correlation.

From the above scatter plot notice that it has a negative slope and we can draw a fair estimate line on this scatter plot. So, there is strong negative correlation.

Hence the correct choice is -0.8.

3 0

3 years ago