Evaluate the expression shown below and write your answer as a mixed number in simplest form.

Answer:

11

Step-by-step explanation:

Givens:

AD = 8

AC = 4y - 28

y = ?

First we can see that AD and DC are equal.

-note AD and AC are not equal

But 2 times the length of AD should give you AC so.....

2 x length of AD = 16 = AC

We can use the equation:

16 = 4y - 28

Solve for y

16 + 28 = 4y

44 = 4y

y = 11

Therefore value of y is 11.

Answer:

See image

Step-by-step explanation:

In both of these the words "more than" mean adding and not the symbol >

difference means subtracting

See image

Step-by-step explanation:

-8 - 6x < 1

Bringing like terms on one side

-6x < 1 + 8

-6x < 9

x < 9/-6

x < 3/-2

I think the correct answer is none

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2

Answer:

i belive by rounding you get 1

Step-by-step explanation:

Answer:

12 mph

Step-by-step explanation:

First 30 miles while cycling at 15 mph. This means he spent 2 hours here.

Thus the 4 hours on the last 48 miles.

Average speed  =  distance / time

Average speed = 48 miles / 4 hours

Average speed = 12 mph

Therefore Regan's average speed is 12 mph for the last 48 miles.

Answer:

see explanation

Step-by-step explanation:

TQ and TR are perpendicular bisectors , so

QO = QN = 3.75

RP = OR = 3.4

The circumcentre T is equally distant from the triangle's 3 vertices, then

PT = QT = 4.5

Answer:

1750

Step-by-step explanation:

Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

Answer:

x > 2

Step-by-step explanation:

Let x = unknown number

The dot is at 2.

The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥

The line is going to the right towards the larger numbers.

This means that the solution to the inequality is greater than 2.

This can be represented as x > 2

Answer: x >2

Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.

Hope this helps.

Best to you!

Answer:

160.93

Step-by-step explanation:

I'm not that great at math so forgive me if I'm wrong, but from my knowledge the answer would be 160.93 since you're multiplying 16.093 to 10.

hope this helped! :)

varables:

O= omar songs\

S= total # of songs

equation:

2o+37= S

Hoped that helped:)

Answer: The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Step-by-step explanation:

In the ordered pair (7,19), 7 is the x and 19 is the y. Plug those in and multiply.

2(7)-19=-5

-5=-5

7+3(19)=22

64 doesn't =22

SO, one part of the equation is wrong making the ordered pair wrong.

The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

To learn more about mean, please check: https://brainly.com/question/12528427

Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

Answer:

y=x+5

Step-by-step explanation:

if you mean how many she completed INCLUDING the 5 over the summer

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Answer:

5

Step-by-step explanation:

The distance between the points in RISE/RUN is 10/2.

10/2 = 5. Your slope is 5

Hope that helps. Brainliest is appreciated

Answer:

  135°

Step-by-step explanation:

A full turn is 360°, so 0.375 of a full turn is ...

  0.375 × 360° = 135° . . . . degrees in 3/8 turn

Answer:

What do you need help with?

Step-by-step explanation:

I'm confused because you didn't include a question.

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

Answer:

0.62

Step-by-step explanation:

10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:

1st move: 620 -> 62.0

2nd move: 62.0 -> 6.20

3rd move: 6.20 -> 0.62

Answer:

Divide both sides by 22.

\frac{3y}{2}=x

2

3y

=x

2 Switch sides.

x=\frac{3y}{2}

x=

2

3y

Answer:

It is congruent

Step-by-step explanation:

Because AB and BC are congruent, having DE bisect them

directly in the middle creates equal lines of BD and BE.

the first one ((x+8, y+2), r x-axis)

Answer:

2

Step-by-step explanation:

each time that x gains 1, y gains 2

2/1=2

3(y - 2) = 3y - 6

3y - 6 = 3y - 6

3y - 3y = - 6 + 6

0 = 0

It has ∞ solutions.

0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.

_____

Hope it helps ⚜

Answer:

Infinitely Many Solutions

Step-by-step explanation:

3(y - 2) = 3y - 6

3y - 6 = 3y - 6      Distribute 3.

0 = 0                    Combine the like terms.

Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.

Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.