Rewrite each equation below so that it is solved for y.

Answer:

10

Step-by-step explanation:

10+x+2=-8+3x

12+x =-8+3x

12+8=3x-x

20=2x

X=20/2

X=10

Answer:

10,010,011,001

Step-by-step explanation:

Converting the number 10010011001 into a number with commas gives us 10,010,011,001.

Given that,

The number is 10010011001.

Used the concpet of number system which states that,

A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.

Here, the number is 10010011001.

So, it can be written as,

10010011001 = 10,010,011,001

Therefore, the number 10010011001 with commas would be 10,010,011,001.

To learn more about the Number system visit:

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Answer:

3/4

Step-by-step explanation:

1/4 + 1/4 + 1/4 =3/4

or

1/4 x 3 = 3/4

Answer:

3/4 feet

Step-by-step explanation:

the common denominator (4) always stays the same.

you add the 3 pieces.

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

[tex]131 +x=180[/tex]

[tex]131-131=0[/tex] (cancels itself out)

[tex]180-131=49[/tex]

[tex]x=49[/tex]

Therefore, the measure of ∠8 is 49°.

Answer:

[tex] \frac{1}{15} x[/tex]

Step-by-step explanation:

[tex] \frac{7x}{20} - \frac{5x}{12} [/tex]

[tex] \frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12} [/tex]

[tex] \frac{21x}{60} - \frac{25x}{60} [/tex]

[tex] \frac{21x - 25x}{60} = (21 - 25)x = - 4x[/tex]

[tex] \frac{ - 4x}{60} = - \frac{ x}{15} [/tex]

[tex]\boxed{\green{= \frac{1}{15} x}}[/tex]

Answer:

it's say download FPD SORRY I CAN'T SLOVE IT

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than or equal to the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

Answer:

no solution

Step-by-step explanation:

x + 6 cannot be x so there is no solution. hope this helps

Answer:

No solution

Step-by-step explanation:

[tex]x + 6 = x \\ x - x = 6 \\ 0 = 6[/tex]

Answer:

15. x = 112 degrees

18. x = 120 degrees

Step-by-step explanation:

15.

A triangle's angles always equal 180 degrees so we can find the two unknown angles by subtracting 44 from 180 and then dividing it by 2.

2a + 44 = 180

2a = 136

a = 68

Each unknown angle equals 68 degrees. The line from 44 degrees to x degrees segments a line that has a 180 degree angle so we can subtract 68 from 180 to get x.

x + 68 = 180

x = 112

18.

We can use the same concept here but now every angle equals each other so we can divide 180 by 3 to get the measure of those angles.

3a = 180

a = 60

Now we do the same thing as last time to find x.

x + 60 = 180

x = 120

Answer:

To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.

Step-by-step explanation:

Answer:

h=39/4

Step-by-step explanation:

area of a triangle = 1/2(b*h)

base = 8 inches

area =39 square inches

input the values given:

39=1/2(8*h)

multiply the right side by 1/2

39=(1/2)8h

find half of 8

39=1/2*8 (h)

hence,

39=4h

divide both sides by 4

hence,

39/4=h

Coordinates of B is [tex](\frac{4}{11} ,\frac{13}{11} )[/tex] that divides AC five-sixths of the way from A to C

Given :

AC with A(4.-7) and C(-4, 11), if point B divides AC five-sixths of

the way from A to C

From the given information , B divides AC internally in the ratio of AB to BC is 5:6

Lets apply section formula to find coordinates of B

[tex](\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )[/tex]

m:n is the ratio 5:6

A is (x1,y1) that is (4,-7)

B is (x2,y2) that is (-4,11)

Substitute the values inside the formula

[tex](\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n} )\\(\frac{(5)(-4)+6(4)}{5+6} ,\frac{5(11)+6(-7)}{5+6} )\\(\frac{4}{11} ,\frac{13}{11} )[/tex]

Coordinates of B is [tex](\frac{4}{11} ,\frac{13}{11} )[/tex]

Learn more:  brainly.com/question/22493969

hope you found it helpful.

Answer: h=-42

Step-by-step explanation:

8=7x2/7 + -h/7

8=7x2-h/7

8=14-h/7

8=-h+14/7

7x8=7(-h+14/7)

7x8=-h+14

56=-h+14

56-14=-h+14-14

42=-h

42/-1=-h/-1

h=-42

Hi there!  

»»————-　★　————-««

I believe your answer is:  

x = 256

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{32} = 8 \\----------\\\rightarrow (\frac{x}{32})32 = 8 * 32\\\\\rightarrow \boxed{x = 256}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

In geometry, transformations are used to move points from one position to another.

The preimage is given as:

[tex]S =(-3,4)[/tex]

[tex]T = (3,4)[/tex]

[tex]U = (-1,0)[/tex]

The image is given as:

[tex]S' = (-2,2)[/tex]

[tex]T' =(4,2)[/tex]

[tex]U' = (0,-2)[/tex]

Using points S and S' as our reference point, we have:

[tex]S =(-3,4)[/tex] and [tex]S' = (-2,2)[/tex]

Calculate transformation

[tex](x,y) \to S -S'[/tex]

[tex](x,y) \to (-2,2)-(-3,4)[/tex]

Rewrite as:

[tex](x,y) \to (-2--3,2-4)[/tex]

[tex](x,y) \to (-2+3,2-4)[/tex]

[tex](x,y) \to (1,-2)[/tex]

So, the transformation from the preimage to image is:

[tex](x,y) \to (x + 1, y-2)[/tex]

Calculate the lengths of the sides of the preimage and the image

Using the following distance formula, we have:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]ST = \sqrt{(-3 - 3)^2 + (4 - 4)^2} = 6[/tex]

[tex]SU = \sqrt{(-3 - -1)^2 + (4 - 0)^2} = \sqrt{20[/tex]

[tex]TU = \sqrt{(3 - -1)^2 + (4 - 0)^2} = \sqrt{32[/tex]

and

[tex]S'T' = \sqrt{(-2 - 4)^2 + (2 - 2)^2} = 6[/tex]

[tex]S'U' = \sqrt{(-2 - 0)^2 + (2 -- 2)^2} = \sqrt{20[/tex]

[tex]T'U' = \sqrt{(4 -0)^2 + (2 -- 2)^2} = \sqrt{32[/tex]

Since

[tex]ST = S'T'= 6[/tex]

[tex]SU = S'U'= \sqrt{20[/tex]

and

[tex]TU = T'U'= \sqrt{32[/tex]

Then, the transformation preserves length

From the graph of [tex]\triangle STU[/tex] and [tex]\triangle S'T'U'[/tex]

Since

[tex]\angle S = \angle S' = 76^o[/tex]

[tex]\angle T = \angle T' = 45^o[/tex]

[tex]\angle U = \angle U' = 59^o[/tex]

Then, the transformation preserves angle measure.

Read more about transformation at:

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Answer:

5 is the answer

Please make the brainliest

Answer:

x=8

Step-by-step explanation:

Angle bisector means it cute the big angle into two equal, smaller angles (like cutting a piece of cake in half)

therefore, you can set both smaller angles equal to each other, then solve for x

4x+1=33   Subtract 1 from both sides

4x=32      Divide both sides by 4

x=8

You'll get it, keep studying! :)

Answer:

Step-by-step explanation:

im on the same question as you, please put a picture next time so people can tell what the area is, as this is not helpful if you can not see the polygon. thanks

Answer:

The choose D. Used the addition property of equality

4x-36=216

4x=216+36

4x=252

I hope I helped you^_^

Answer:

1. 9.576

2. 17.442

3. 45.29

4. 79.294

5. 30.736

6. 30.8

7. 31.5

8. 25.85

9. 53.29

10. 49.184

11. 15.18

12. 15.573

13. 17.075

14. 74.06

15. 9.01

Step-by-step explanation:

Use a multiplication method to find the answers. I would put it up here but i dont know how.

Answer:

Haha great question, Maybe because people will not understand the difference between the fruit and the color.

Answer:

450+120w

will be the expression

Equation: 450+120w = x

Answer:

h = 22  for Rachel

Step-by-step explanation:

20 + h = 42

h = 42 - 20

h = 22

Answer:51.33ft/s

Step-by-step explanation:Just look at how many seconds are in a hour and divide by that

Answer:

19

Step-by-step explanation:

zót95zktTkzktzktzltl

[tex]\frac{2x-5}{3}=11 \ \ /\cdot3\\\\2x-5=33 \ \ /+5\\\\2x=38 \ \ /:2\\\\\huge\boxed{x=19}[/tex]

Probabilities are used to determine how likely it is for an event to happen.

(1) A roll of two dice

Let the dice be A and B. The sample space of each is:

[tex]A = \{1,2,3,4,5,6\}\\B = \{1,2,3,4,5,6\}[/tex]

To get the sample space (S) of the sum of the dice, we simply add up the individual element of both dice. So, we have:

[tex]S = \{(1+1),(1+2),(1+3),(1+4),(1+5),(1+6),.............,(6+1),(6+2),(6+3),(6+4),(6+5),(6+6)\}[/tex]

This gives

[tex]S = \{2,3,4,5,6,7,.............,7,8,9,10,11,12\}[/tex]

The complete sample space is:

[tex]S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12\}[/tex]

[tex]n(S) = 36[/tex] --- the total outcomes

The probability of rolling a sum of 7 is:

[tex]P(7) = \frac{n(7)}{n(S)}[/tex]

Where

[tex]n(7) = 6[/tex] ---- number of 7's in the sample space

So, we have:

[tex]P(7) = \frac 6{36}[/tex]

[tex]P(7) = 0.167[/tex]

The probability of rolling a sum of 7 is 0.167

(2) Restaurant

We have:

[tex]Soup = \{A,B,C,D\}[/tex]

[tex]Salads = \{1,2,3\}[/tex]

To get the sample space (S), we simply pick the individual elements of the above data. So, we have:

[tex]S = \{A1, A2, A3,B1, B2, B3,C1, C2, C3,D1, D2, D3\}[/tex]

(3) Disjoint events

Events are said to be disjointed if they cannot happen at the same time. 3 examples are:

(4) Bob and Sarah

Let

[tex]A \to[/tex] Bob gets to work on time

[tex]B \to[/tex] Sarah gets to work on time

[tex]P(A) = 80\% \\ P(B) = 90\%\\P(A\ n\ B) = 72\%[/tex]

The probability that Bob OR Sarah is late for work is represented as:

[tex]P(A'\ or\ B')[/tex]

This is calculated using:

[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]

Where:

[tex]P(A') = 1 - P(A) = 1 - 80\% = 20\%[/tex]

[tex]P(B') = 1 -P(B) = 1 - 90\% =10\%[/tex]

[tex]P(A\ n\ B') = P(A) \times P(B') = 20\% \times 10\% = 2\%[/tex]

So, we have:

[tex]P(A'\ or\ B') = P(A') + P(B') - P(A'\ n\ B')[/tex]

[tex]P(A'\ or\ B') = 20\% + 10\% - 2\%[/tex]

[tex]P(A'\ or\ B') = 28\%[/tex]

[tex]P(A'\ or\ B') = 0.28[/tex]

The probability that Bob OR Sarah is late for work is 0.28

(5) Jake's Pizza

Let

[tex]A \to[/tex] The proportion of time they deliver on time

[tex]B \to[/tex] You get your pizza for free

So:

[tex]P(A) = 92\%[/tex]

You get your pizza for free if they didn't deliver within 30 minutes.

This means that:

[tex]P(B) = 1 - P(A)[/tex] --- Complement rule

So, we have:

[tex]P(B) = 1 - 92\%[/tex]

[tex]P(B) = 0.08[/tex]

The probability that you get your pizza for free is 0.08.

(6) Students and Soccer

Let:

[tex]A \to[/tex] Probability that a student likes soccer

So:

[tex]P(A) = 54\%[/tex]

If all 3 selected students like soccer, the probability is calculated as:

[tex]Pr = P(A) \times P(A) \times P(A)[/tex]

[tex]Pr = P(A)^3[/tex]

[tex]Pr = 54\%^3[/tex]

[tex]Pr = 0.157[/tex]

The probability that all 3 selected students like soccer is 0.157

(7) Students and Soccer

Let:

[tex]A \to[/tex] Probability that a student likes soccer

[tex]B \to[/tex] Probability that a student does not like soccer

So:

[tex]P(A) = 54\%[/tex]

[tex]P(B)= 1 - P(A)= 1 - 54\% = 46\%[/tex] ---- Complement rule

If all 4 selected students do not like soccer, the probability is calculated as:

[tex]Pr = P(B) \times P(B) \times P(B) \times P(B)[/tex]

[tex]Pr = P(B)^4[/tex]

[tex]Pr = 46\%^4[/tex]

[tex]Pr = 0.045[/tex]

The probability that all 4 selected students do not like soccer is 0.045

(8) Marbles

[tex]Blue = 6 \\ Green = 4 \\ Red = 5[/tex]

When the green marble is selected, we are left with

[tex]Blue = 6 \\ Green = 3 \\ Red = 5[/tex]

The probability of selecting a red marble at this point is:

[tex]P(Red) = \frac{Red}{Blue + Green + Red}[/tex]

[tex]P(Red) = \frac{5}{6+3+5}[/tex]

[tex]P(Red) = \frac{5}{14}[/tex]

[tex]P(Red) = 0.357[/tex]

The probability that the next marble you draw is red is 0.357

(9) Studying for test

Let

[tex]A \to[/tex] Students got an A

[tex]B \to[/tex] Students studied for test

So:

[tex]P(A\ n\ B) = 60\% \\ P(B) = 75\%[/tex]

The probability that a student got an A given that they studied for the test is  represented as:

[tex]P(A | B)[/tex]

So, we have:

[tex]P(A | B) = \frac{P(A\ n\ B)}{P(B)}[/tex]

[tex]P(A | B) = \frac{60\%}{75\%}[/tex]

[tex]P(A | B) = 0.80[/tex]

The probability that a student got an A given that they studied for the test is  0.80

Read more about probabilities at:

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