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3 years ago

Graph -27x+18y=54??????????

Mathematics

1 answer:

Sindrei [870]3 years ago

7 0

Answer:

There should be 3 points that you have. (0, 3), (2, 6), and (-2, 0)

Step-by-step explanation:

Alright so since everything there is divisible by 9 you can divide each number by 9 to get:

-3x + 2y = 6

Now, to graph this you need to put it in y = mx + b form. So, add the 3x to both sides of the equation.

-3x +2y = 6

+3x +3x

2y = 3x + 6

Now you would divide 2 on both sides because you need y to be alone, to get:

y = 3/2 x + 3

Now Graphing:

Since 3 is positive that is your y-axis. So put a dot on + 3 on the y-axis. That's your (0, 3) point.

Then 3/2 is your slope. Slope is rise / run. So you start at your dot from the y-axis go up 3 (because that's your rise from slope) then you go to the right 2 (therefore, your run) then place a dot there. This is your (2, 6) point)

Usually you want to do the negative side of that also. To do that you would once again start at the 3 (y-axis point). Now you would pretty much make your slope negative. Starting at 3, you would go down 3 (your rise for slope) then go to the left 2 (your run for slope). This is your (-2, 0) point.

Do you understand it?

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A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 90% pure anti

Murrr4er [49]

With amounts measured in gallons, let

x = amount of 65% antifreeze

y = amount of 90% antifreeze

1 gal of the 65% brand contains 0.65 gal of pure antifreeze; x gal would contain 0.65x gal. Similarly, y gal of the 90% brand contains 0.90y gal of pure antifreeze.

To obtain 120 gal of 80% antifreeze solution (which contains 0.80•120 = 96 gal of pure antifreeze), we must have

x + y = 120 … … … … … [total volume of antifreeze solution]

0.65x + 0.90y = 96 … [total volume of pure antifreeze]

Solve the first equation for y :

y = 120 - x

Substitute this into the second equation and solve for x :

0.65x + 0.90 (120 - x) = 96

0.65x + 108 - 0.90x = 96

0.25x = 12

x = 48

Solve for y :

y = 120 - 48

y = 72

6 0

2 years ago

There are 59 people going on a field trip.

laila [671]

The answer to this question is the school is going to have to rent 2 vans extra. The reason is because each van hols 8 people right. for the 6 vans that the school already owns, that will be 48 students in vans. When you subract that from 59, you get 11 students that still need a van, so 11 students can not fit in one extra van so the school would need two. Hope this gives you what you were looking for. God bless, and hope this helped. Also, please let me know if it was correct.

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3 years ago

Whats greater 1000000mm or 100m

zimovet [89]

100 meters is the exact same as 1000000 millimeters.

1 meter = 1000 millimeters.
100 x 1000 = 1000000 millimeters.

6 0

3 years ago

preliminary sample of 100 labourers was selected from a population of 5000 labourers by simple random sampling. It was found tha

VladimirAG [237]

Answer:

$n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79$

n=369

Step-by-step explanation:

1) Notation and definitions

$X=40$ number of the selected labourers opt for a new incentive scheme.

$n=100$ random sample taken

$\hat p=\frac{40}{100}=0.4$ estimated proportion of the selected labourers opt for a new incentive scheme.

$p$ true population proportion of the selected labourers opt for a new incentive scheme.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

2) Solution tot he problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.4(1-0.4)}{(\frac{0.05}{1.96})^2}=368.79$

And rounded up we have that n=369

8 0

3 years ago

What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm?

adoni [48]

1.
All three angles are equal and their sum is 180. 
3 (3x-12) = 180 
9x -36 = 180 
9x = 180+36 
9x = 216 
x = 216/ 9 = 24 

2. 
Area of an equilateral triangle = (sqrt(3)/4 ) s^2 = 270.633 
s^2 = 270.633 / [ sqrt(3) /4] 
s^2 = (4)(270.633) / sqrt(3) 
s^2 = 625 
s = 25 (side) 

Follow the procedure in the link: we don't need the altitude. 
r = 25/sqrt(3) =14.43

7 0

3 years ago

Read 2 more answers