Solve for x (geometry)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8x+6=5x+30}[/tex]

[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]

[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]

[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]

[tex]\rightarrow\mathsf{3x +6=30}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{3x +6-6=30-6}[/tex]

[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]

[tex]\mathsf{30-6=\bf 24}[/tex]

[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]

[tex]\mathsf{3x = 24}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]

[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]

[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

x = 20

Step-by-step explanation:

(6x - 10) and (3x + 50) are vertical angles and are congruent, then

6x - 10 = 3x + 50 ( subtract 3x from both sides )

3x - 10 = 50 ( add 10 to both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

I'd try to do that, but it cannot be done.

Step-by-step explanation:

The above sentence contains 30 letters, including 3 "e"s, so the frequency of e is 3/30 = 0.1 = 10%

Answer:

20:18 30:27 40:36 etc..

Step-by-step explanation:

To find equivalent ratios you multiply both 10 and 9 by the same number to find equivalent ratios.

Answer:

40

Step-by-step explanation:

160/4=40

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

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Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

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2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

Answer:

116cm^2

Step-by-step explanation:

mark me brainliest!

Answer:5.9

Step-by-step explanation: Clarification from teacher

Answer:

Noah's expression is wrong because he used the wrong coefficients for the variables, and he used a subtraction sign instead of an addition sign.

The correct expression is 2m + 10c

Step-by-step explanation:

Noah is incorrect because he used the wrong coefficients for both of the variables in the expression.

Since muffins are $2 each, and m is the number of muffins, the amount of money made from the muffins is 2m, not 10m.

Similarly, since cakes are $10 each, and c is the number of cakes, the amount of money made from the cakes is 10c, not 2c.

Noah is also incorrect because he used a subtraction sign instead of an addition sign. The amounts made from the muffins and cakes have to be added together.

Putting all of this together, the correct expression is 2m + 10c.

Answer:

D

Step-by-step explanation:

sorry if incorrect

Answer:

The answer is A. Texas has one of the strongest and most diverse economies in the country.

Step-by-step explanation:

Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.

Answer:

12.0%

Step-by-step explanation:

Answer:

The answer is 1.2 or 5

Step-by-step explanation:

Answer:

B,D,E

Step-by-step explanation:

Answer:

= 0.315

Step-by-step explanation:

hope this helps :)

Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

Answer:

(-2/7,2/3)

Step-by-step explanation:

Let's solve for x.

−7x+3y=2

Step 1: Add -3y to both sides.

−7x+3y+−3y=2+−3y

−7x=−3y+2

Step 2: Divide both sides by -7.

−7x/ −7 = −3y+2/ −7

x= 3/ 7 y+ −2/ 7

Answer:

x= 3/ 7 y+ −2/ 7

Let's solve for y.

−7x+3y=2

Step 1: Add 7x to both sides.

−7x+3y+7x=2+7x

3y=7x+2

Step 2: Divide both sides by 3.

3y/ 3 = 7x+2/ 3

y= 7/ 3 x+ 2/ 3

Answer:

y= 7/ 3 x+ 2/ 3

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the average approaching 3.5, we need to use the concept of the mean or expected value.

The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.

In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.

Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5

Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.

Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:

Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232

To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:

Average approaching 3.5 = (Sum of remaining rolls) / n

We know that the total number of rolls is 3200, so the number of remaining rolls is:

n = 3200 - (number of rolls already rolled)

n = 3200 - 3200 = 0

Therefore,

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ2

Answer:

the angle measures are 60 and 30

The number of games, the friends have to play is an illustration of combination.

They have to play 28 games to ensure that they all play

Given

[tex]n = 8[/tex] --- number of friends

[tex]r = 2[/tex] --- only two friends can play at a time

For everyone else to play, we will make use of the following combination formula;

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]

[tex]^8C_2 = \frac{8!}{6!2!}[/tex]

Expand

[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]

[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]

[tex]^8C_2 = 4 \times 7[/tex]

[tex]^8C_2 = 28[/tex]

Hence, the 8 friends have to play 28 games to ensure that everyone else plays

Read more about combinations at:

https://brainly.com/question/8018593

Answer:

255 - A

Step-by-step explanation:

81+31+15+34+39+13+22+20=255

Answer:

0.3

Step-by-step explanation:

yushhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

0.3

Step-by-step explanation:

djdjwinqwp9dejnedm

Answer:

C, there are 4 groups of 5/12 on the numberline. They are jumping 4 times whilst each of those jumps are 5/12.

Answer: 6700 meters

Step-by-step explanation:

From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.

In order to know the distance in meters

that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:

1000 meters = 1 kilometer

Therefore, 6 7/10km = (6 7/10 × 1000m)

= 6 7/10 × 1000

= 67/10 × 1000

= 67 × 100

= 6700 meters

He'll travel 6700 meters to the museum.

Answer:

Should Be 19 students

Step-by-step explanation:

Answer:

10 square meters

Step-by-step explanation:

Answer:

Your answer is -5/2.

Step-by-step explanation:

Use the slope equation. (Refresh if you cant see below.)

[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]

Answer:

The answer is 28.5

Step-by-step explanation:

Right triangle: 4.5

Top triangle: 6

Rectangle: 18

Your welcome :)

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz