(2.4 x 10^2) (6.1 x 10^5

stepladder [879]

First, you do a proportion. X/48=25/100. 25 times 48 equals 1,200. Now divide 1,200 by 100 which equals 12. This means 12 cookies is 25% of 48 cookies. Now do 48-12 which is 36. YOUR ANSWER IS 36

5 0

2 years ago

What is the equation of the line that is parallel to the line 2x+3y=-8 and passes through the point (2,-2)?

Leya [2.2K]

Equation of line passing through (2, -2) and parallel to 2x+3y = -8 is $y=\frac{-2 x}{3}+\frac{-2}{3}$

<h3><u>Solution:</u></h3>

Need to write equation of line parallel to 2x+3y=-8 and passes through the point (2, -2)

Generic slope intercept form of a line is given by y = mx + c

where "m" = slope of the line and "c" is the y - intercept

Let’s first find slope intercept form of 2x+3y=-8 to get slope of line

$\begin{array}{l}{2 x+3 y=-8} \\\\ {=>y=\frac{-2 x-8}{3}} \\\\ {\Rightarrow y=-\frac{2}{3} x-\frac{8}{3}}\end{array}$

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c,

$\text {for line } 2 x+3 y=-8, \text { slope } m=-\frac{2}{3}$

We know that slopes of parallel lines are always equal

So the slope of line passing through (2, -2) is also $m=-\frac{2}{3}$

Equation of line passing through $(x_1 , y_1)$ and having slope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=2 \text { and } y_{1}=-2$

Substituting the values in equation of line we get

$(y-(-2))=-\frac{2}{3}(x-2)$

$\begin{array}{l}{\Rightarrow y+2=\frac{-2 x+4}{3}} \\\\ {=>3(y+2)=-2 x+4} \\\\ {=>3 y+6=-2 x+4} \\\\ {3 y=-2 x-2}\end{array}$

$y=\frac{-2 x}{3}+\frac{-2}{3}$

Hence equation of line passing through (2 , -2) and parallel to 2x + 3y = -8 is given as $y=\frac{-2 x}{3}+\frac{-2}{3}$

7 0

3 years ago

Use Use an element argument to prove the state (A-B)U(ANB) = A" is true. he statement "For all sets A and B,

lys-0071 [83]

Answer with Step-by-step explanation:

We have to prove that

$(A-B)\cup (A\cap B)=A$ is true for all sets A and B

Let $x\in(A-B)\cup (A\cap B)$

Then $x\in(A-B)$ or $x\in(A\cap B)$

$x\in A$ and $x\notin B$ or $x\in A\;and\; x\in B$

Hence, $x\in A$

Conversely ,Let $x\in A$

Then x belongs to A and x does not belongs to B then

x belongs to A- B

Or x belongs to A and x belongs to B then x belongs to $A \cap B$

Hence, $x\in( A-B)\cup (A\cap B)$

Therefore, $(A-B)\cup (A\cap B)=A$

3 0

3 years ago

Read 2 more answers

Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, co

ruslelena [56]

Answer:

<u>Quantitative.</u>
<u>Discrete.</u>
<u>Interval Scale.</u>

Step-by-step explanation:

The IQ scores are measured numerically. This makes it quantitative data. Quantitative data provide numerical measures which can be used to perform arithmetric operations such as addition, subtraction, multiplication and division. Results from these kind of data can be used to provide meaningful and explanatory results to certain phenomena.
IQ scores are discrete because they are always expressed as integers. that is in whole numbers and not in fractions e.g 100, 120, 60.
The level of measurement is on an interval scale because the difference between values have meanings. Larger values mean higher IQ. for example, the difference in IQ numbers between two people for represents something real.

6 0

3 years ago

Karen wants to buy a $22.50 jacket that is marked 20% off. Select from the drop-down menu to correctly complete the sentence. Th

Strike441 [17]

So first,

$22.50 * .20= 4.5

Then, since is 20% off you subtract the percentage you get in which this case, it's 4.5.

$22.50 - 4.5 = $18

So the Jacket is $18.00!

Hope this helps, have a good day. c;

7 0

3 years ago

Read 2 more answers