The price of one gallon of milk has increased from$3.24 to $4.06. What is the percentage increase

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

Sindrei [870]

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?

7 0

2 years ago

When Aria commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a st

MrRa [10]

Answer:

Her commute would be between 32 and 35 minutes 33 times.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 28, \sigma = 4.5$

Proportion of days in which the commute is between 32 and 35 minutes:

This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 32.

X = 35

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{35 - 28}{4.5}$

$Z = 1.555$

$Z = 1.555$ has a pvalue of 0.94.

X = 32

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{32 - 28}{4.5}$

$Z = 0.89$

$Z = 0.89$ has a pvalue of 0.8133.

0.94 - 0.8133 = 0.1267

Out of 262 days:

Each day, 0.1267 probability

0.1267*262 = 33

Her commute would be between 32 and 35 minutes 33 times.

6 0

3 years ago

Given a polynomial p(x) and a value p(a) = 0, determine what is true about the polynomial

AnnyKZ [126]

Your,,,,,, g....a.....y...as....f

5 0

2 years ago

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

Delicious77 [7]

The width of rectangle is $2\frac{1}{4}\ cm$ and length is $5\frac{5}{12}\ cm$

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+ $3\frac{1}{6}=w+\frac{19}{6}$

Perimeter of rectangle = $15\frac{1}{3}=\frac{46}{3}\ cm$

Perimeter of rectangle = 2(Length + Width)

$2(w+\frac{19}{6}+w)=\frac{46}{3}\\2(2w+\frac{19}{6})=\frac{46}{3}\\4w+\frac{19}{3}=\frac{46}{3}$

Subtracting $\frac{19}{3}$ from both sides

$4w+\frac{19}{3}-\frac{19}{3}=\frac{46}{3}-\frac{19}{3}\\4w=\frac{46-19}{3}\\4w=\frac{27}{3}\\4w=9$

Dividing both sides by 4

$\frac{4w}{4}=\frac{9}{4}\\w=\frac{9}{4}$

Therefore,

Width of rectangle = w = $\frac{9}{4}=2\frac{1}{4}$ cm

Length of rectangle = $w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}=\frac{27+38}{12}=\frac{65}{12}=5\frac{5}{12}\ cm$

The width of rectangle is $2\frac{1}{4}\ cm$ and length is $5\frac{5}{12}\ cm$

Keywords: perimeter, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago

If a line slope of -1/2 contains the point (2,3), then it must also contain which of the following points?

tiny-mole [99]

Before the fraction: -1/2, i have a negative sign
use y=mx+b
3=-1/2(2)+b
3+1=-1+b+1
4=b
check your work
0=-1/2x+4
0+4=-1/2x
(4)÷(-1/2)=(-1/2x)÷(-1/2)
-2=x
another pair is (-2,0) use this to figure out the other points, and/or the points you have in the multiple choice.

5 0

3 years ago