Use the distributive property to write the following expression without parentheses.  
-3/5(20x-20y)

Answers

Answer 1

Answer:

-12x+12y

Step-by-step explanation:

[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]

Hope this helps!

Answer 2

Answer:

[tex]-12x+12y[/tex]

Step-by-step explanation:

We have the following expression:

[tex]-\frac{3}{5} (20x-20y)[/tex]

TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..

[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]


Related Questions

2. Janice is buying paint to paint her new apartment. The store sells paint in one-gallon cans. How accurate does her estimate
need to be for the amount of paint needed?

Answers

Answer:

its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.

please help!

Given:
AB = BC

ADB =
a. 30
b. 37.5
c. 60

Answers

The Correct answer is B

The measure of the angle is ∠ADB=60

What is the angle sum property of a triangle?

The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°

Given here: ∠A =∠B=60

By triangle sum property we must have ∠A +∠B+∠D=180

                                                                                 ∠D=60

Thus the triangle must be an equilateral triangle with all its angles equal to 60

Hence, The measure of the angle is ∠ADB=60

Learn more about triangles here:

https://brainly.com/question/29133099

#SPJ2

                                                                                 

Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the y-intercept.
State the meaning of the y-intercept in the terms of this problem

Answers

Answer: Joe has initial amount of $12 ( when he played no game).

Step-by-step explanation:

Given: Joe took $12 to the arcade. Each game cost $.50 to play.

This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]

Here,

Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.

Since y-intercept gives the initial value of the function when x=0.

To find y-intercept , we out x=0 in funtion , we get

[tex]y=-0.50(0)+12=12[/tex]

So , y-intercept of this function is at y=12.

Meaning of the y-intercept in the terms of this problem :

Joe has initial amount of $12 ( when he played no game).

Answer:

y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.

Step-by-step explanation:

Note : The given equation is not correct.

It is given that Joe took $12 to the arcade and each game cost $0.50 to play.

This situation can be modeled with the equation

[tex]y=0.50x+12[/tex]

where, y is total cost of playing x games.

We need to find y-intercept.

Substitute x=0 in the above equation to find the y-intercept of the equation.

[tex]y=0.50(0)+12[/tex]

[tex]y=0+12[/tex]

[tex]y=12[/tex]

So, the y-intercept is 12.

Here y-intercept represents the total cost if the number of games is zero.

It means y-intercept shows the fixed cost of arcade, i.e., 12.

Identify the type of pair of angles labeled as 1 and 2 in the figure.

Question 4 options:

A)
Adjacent angles

B)
Linear pair

C)
Complementary angles

D)
Vertical angles

Answers

Hey!!

1 and 2 are vertical angles.

Vertically opposite angles are always equal to each other.

Hope it helps..

Answer:

D

Step-by-step explanation:

Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)​

Answers

the answer is B (-3.5, -2)


Which of the following choices best describes the behavior of the light rays when they pass through the lens:
A)The rays will refract and bend away from each other.
B)The rays will refract and bend toward each other.
C)The rays will move through the lens without changing direction.
D)The rays will bounce off the surface of the lens.

Answers

i would  C because it the lights didnt bend

it went through

16
h(x)=−(x−2)
2
+16

Answers

Answer: -24

Step-by-step explanation:

I need help please, I will give whoever answers this gets brainliest

Answers

Hey!!

H (2,1),(4,3),(6,5),(2,7) is not a function.

please see the attached picture

Hope it helps

Good luck on your assignment

At which point do the graphs of the following equations intersect each other?
2x - y + 4 = 0
x + y = -5
A. (2, -1)
B. (-3,-2)
C. (4, -5)
D. (1,1)

Answers

Answer:

(-3,-2)

Step-by-step explanation:

Rewrite first equation in slope-intercept form ( y = mx + b)

2x -y + 4 = 0

-y = -2x - 4

y = 2x + 4

Now rewrite second equation in slope intercept form

y = -x -5

Graph both equations on a calculator and you see that they intersect at (-3,-2)

1
0 5 5 8
2
2 5 8
3
5 6
1 | O means 10
Match the stem-and-leaf plot to the correct set of data.
A. 10, 15, 15, 18, 22, 25, 28, 35, 36
B. 0,1,3,5,6,8
C. 1.0, 1.5, 1.5, 1.8, 2.2, 2.5, 2.8, 3.5, 3.6
D. 1.0558, 2.258, 3.56​

Answers

Answer:

A. 10, 15, 15, 18, 22, 25, 28, 35, 36

Step-by-step explanation:

Stem and leaf plot

1    |     0 5 5 8

2   |     2 5 8

3   |    5 6

Example : 1 | 0 means 10

So, considering the examples :

1    |     0 5 5 8

10,15,15,15,18

2   |     2 5 8

22,25,28

3   |    5 6

35,36

So, the data set is 10,15,15,15,18,22,25,28,35,36

So, Option A is true

Without graphing, determine whether the equation has a graph that is symmetric with
respect to the x-axis, the y-axis, the origin, or none of these.
y=x2 +8
Choose the correct answer below.
X-axis
y-axis
origin
none of these

Answers

Answer:

girl

Step-by-step explanation:

What in the world 3000%

If f(x) = 5x, what is y(x)?

Answers

Answer:

Step-by-step explanation:

y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.

f(x) = 5x = y(x).

Help anyone???? Please

Answers

Answer: A

Angle a = Angle b since they are vertical angles

I need some help on these two questions.

Answers

Answer:

see explanation

Step-by-step explanation:

The length of the arcs are calculated as

arc = circumference of circle × fraction of circle

(13)

arc = 2πr ×[tex]\frac{72}{360}[/tex]

      = 2π × 25 × [tex]\frac{1}{5}[/tex] = 10π units

(14)

arc = 2π × 2 × [tex]\frac{270}{360}[/tex]

      = 4π × [tex]\frac{3}{4}[/tex] = 3π units

What are the steps to solve 1-3x=4-2x

Answers

Combine the like terms. move over the -3x to the right and it’s now 3x and combine it with -2x to get x. Move the 4 over to the left and it becomes -4 and combine it with the 1 to get -3. Then you are left with -3=x

hich equations are equivalent to y = two-thirds x minus 4 when written in slope-intercept form? Check all that apply. 3 x minus 2 y = 4 2 x minus 3 y = 12 Negative 4 (2 x minus 3 y) = negative 4 (12) 2 (x + 6) = 3 y 2 x minus 3 y = 4

Answers

Answer:

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{2}{3}x - 4[/tex]

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

[tex]3* y = 3(\frac{2}{3}x - 4)[/tex]

[tex]3y = 3 * \frac{2}{3}x - 3 * 4[/tex]

[tex]3y = 2x - 12[/tex] ---- Equation 1

Subtract 3y from both sides

[tex]-3y + 3y = 2x - 12 - 3y[/tex]

[tex]0 = 2x - 12 - 3y[/tex]

Add 12 to both sides

[tex]12 + 0 = 2x - 12 - 3y + 12[/tex]

[tex]12 = 2x - 3y[/tex]

Rearrange:

[tex]2x - 3y = 12[/tex] ---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

[tex]2x - 3y = 12[/tex]

[tex]-4(2x - 3y) = -4(12)[/tex]  ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to [tex]y = \frac{2}{3}x - 4[/tex]

Answer:

Answer:

Step-by-step explanation:

Given

Required

Equivalents of the given equation;

We start by multiply both sides of the equation by 3

---- Equation 1

Subtract 3y from both sides

Add 12 to both sides

Rearrange:

---- This is equivalent to the given equation;

Multiply both sides of the above equation by -4

 ---- This is also equivalent to the given equation;

From the list of given options, only these two are equivalent to

Step-by-step explanation:

If cos 67 degrees is close to 2/5 which is closest to the length of no
PO=100cm
P=23 degrees

Answers

Answer: Sin 23 = 2/5

Step-by-step explanation:

If cos 67 degrees is close to 2/5. That is, approximately,

Cos 67 = 2/5

Multiply the numerator and the denominator by 50

Cos 67 = 100/250

From trigonometry ratio,

Cos Ø = adjacent/hypothenus

Where the

Adjacent length = 100 cm

Hypothenus length = 250 cm

Po = opposite length = 100cm

If the degree = 23

The closest length will be

Sin Ø = Opposite/ hypothenus

Sin 23 = 100/250

Divide both the numerator and the denominator by 50

Sin 23 = 2/5

Answer:

40 cm

Step-by-step explanation:

Pls do 4,5 for 7 points.

Answers

Answers:

6-5

please see the attached picture for full solution

hope it helps

Good luck on your assignment...

hhhhhhhhhhheeeeeellllllllpppppp

Answers

Answer:

9(3+4)

Step-by-step explanation:

27+36

Factor out 9

9*3 + 9*4

9(3+4)

Answer:

9(3+4)

Step-by-step explanation:

First, list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

Factors of 27: 1, 3, 9, 27

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Now, find the GCF. The GCF is the largest factor both numbers share. In this case, the GCF is 9.

Now, find the equivalent expression.

27+36

Distribute out a 9. Divide both numbers inside the parentheses by 9.

9(27/9+36/9)

9(3+4)

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? *

A. There were 2,451 boys surveyed, and about 29% of them play video games.
B. There were 2,996 girls surveyed, and about 45% of them play video games.
C. There were 5,447 students surveyed, and about 54% of them do not play video games.
D. There were 2,493 students surveyed, and about 34% of them are girls who do not play video games.

Answers

Answer:

Correct option is:

B. There were 2,996 girls surveyed, and about 45% of them play video games.

Step-by-step explanation:

Let us calculate the percentage step by step as per the options.

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total boys = 2996

7. Total number of candidates = Total boys + Total girls = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]

So, option A is not correct.

Percentage of girls who play video games:

[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]

The percentage is near about 45%, so option B is correct.

Percentage of Total number of students, who do not play video games:

[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]

So, option C is not correct.

Hence, correct answer is option B.

Answer:

Its b

Step-by-step explanation:

B , it just makes sense

According to​ Bayes' Theorem, the probability of event​ A, given that event B has​ occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use​ Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
​, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
​, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
​, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half

Answers

Answer:

0.0625

Step-by-step explanation:

Data

P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2

The probability of event​ A, given that event B has​ occurred is computed with the following equation:

P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]

Replacing with data:

P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625

Answer:5.17%

Step-by-step explanation:

answer asap please ! ill give brainliest

Answers

I don't know, sorry. :(

the median is 5! hope this helps

Which equation represents the line that is parallel to 5x + y = 13 and
passes through the point (15, - 31)?

Answers

Answer:

y=-5x+44

Step-by-step explanation:

If f= {(2, 3), (5,7), (3, 3), (5, 4), (9, 1)), what is the range?
(2,5, 3, 9)
(3, 7, 3, 4,1)
all whole numbers
{1, 3, 4, 7}​

Answers

Answer: {1,3,4,7} which is choice D

To list out the range, you list the y coordinate values of each point of the function. Each point is of the form (x,y). Any duplicate values are tossed out when we talk about a set. All we care about are the unique values. It's common practice to sort the values of the set from smallest to largest.

Side note: Choice A is listing the x values of each point, which is the domain.

If two angles are complementary to the same angle, then they are congruent to each other.

Answers

Answer:

supplementary

Step-by-step explanation:

Answer:

Congruent Complement Theorem

Explanation:

I also had virtualsc, and this was the answer I chose, and it was correct.

question in attachment

Answers

Answer:

[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]

[tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]

[tex]csc(x)=2[/tex]

[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

(I'll just use x for ease of writing)

We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]

[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]

Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.

[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]

[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

solve for k. 2.5(4k+2) =12k

Answers

Answer:

2.5

Step-by-step explanation:

2.5(4k+2) =12k

2.5*6k=12k

Answer: 2.5

Step-by-step explanation:

Given that the radius of Mars is approximately 3.4 * 10 kilometres (3400 km). Find its
volume to three decimal places.

Answers

Answer:

Volume V = 164,636,210,208.924 km^3

Step-by-step explanation:

Volume of a sphere is;

V = (4/3)πr^3

radius r = 3400 km

Volume of mars V = (4/3)π×3400^3

V = 164,636,210,208.924 km^3

PLS HELP my homework is due tomorrow

Answers

Answer:

for 1 its -0.25 and 1.25

for 2 its -0.5. and 1.5

Step-by-step explanation:

idk if there is,  but just use the graph + common sense.

you don't need to solve it in any way

The shortest route from London to Liverpool is 210 miles. A lorry is expected to take 3.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 3.5 hours. By how many more mph than the expected speed does the lorry travel?

Answers

Answer:

72 mph

Step-by-step explanation:

Please give brainliest

You have distance =210 miles

Increase it by 20%

210+(210*0.2) = 252 miles I wrote 0.2 instead of writing 20%/100% hope you understand.

The new route is 252 miles

Time travelled = 3.5 hours

Speed=distance/time

Speed = 252/3.5 = 72 mph

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