Apply the distributive property to create an equivalent expression.
\dfrac15(15+10k) =
5
1

(15+10k)=start fraction, 1, divided by, 5, end fraction, left parenthesis, 15, plus, 10, k, right parenthesis, equals

Answers

Answer 1

Answer:

3 + 2k

Step-by-step explanation:

Given:

1/5(15 + 10k)

= (1/5 * 15) + (1/5 * 10k)

= (1 * 15)/5 + (1 * 10k)/5

= 15/5 + 10k/5

= 3 + 2k

Therefore,

1/5(15 + 10k) = 3 + 2k

The equivalent expression is 3 + 2k


Related Questions

HELP WILL GIVE BRAINLIEST

Answers

Answer:

A.   hexagonal prism

Step-by-step explanation:

The box has 2 congruent hexagons as bases, and 6 congruent rectangles as sides.

Answer: hexagonal prism

Someone help me with these math problems please
Please

Answers

Answer:

a = 15

34.8 + b = 54.6

Step-by-step explanation:

First one:

5a - 10b = 45  (b = 3)

5a - 10(3) = 45

5a - 30 = 45

5a = 75

a = 15

Second one

b + a + 3a = 54.6

b + 4a = 54.6   ( a = 8.7)

b + 4(8.7) = 54.6

b + 34.8 = 54.6

34.8 + b = 54.6

Answer:

a=15 26.1 + b =54.6

Step-by-step explanation:

for the second question we first multiply 8.7 by 3 which gives us 26.1 and since there is only one answer with 26.1 it's it.

A soccer team made $575.75 from selling popcorn at a concession stand during a tournament. The popcom cost the
team $65.00. What is the amount of money earned for each player if the profit is divided equally among the 15
players? Round to the nearest cent.
O S34.05
0 $42.72
57.661.25
59.611.25 hurry I'm being timed!

Answers

Answer:

$34.05

Step-by-step explanation:

I had block the instructions but basically it said State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.

Answers

Answer:

Segment XY congruent to Segment IJ is required.

Step-by-step explanation:

It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.

what is the sum of all the exterior angle of a polygon ​

Answers

Answer:

From what I learn it is 360 degrees

Show all work to multiply (3+ Square root of -16)(6- square root of -64)

Answers

Answer:

1042-96i

Step-by-step explanation:

(3 + 16i)(6 - 64i)

6(3 + 16i)(3 - 32i)

(6) 9 - 96i + 48i +1024

using the formula of Sin 2A ,cos2a and tan 2a establish that; tab A is = +- root under 1 - cos 2A by 1 + cos 2a​

Answers

Answer:

Step-by-step explanation:

Given identity is,

[tex]\text{tanA}=\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}[/tex]

To prove this identity, we will take left side of the identity,

[tex]\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}=\pm\sqrt{\frac{1-(1-2\text{sin}^2A)}{1+(2\text{cos}^2A-1)} }[/tex]

                  [tex]=\pm\sqrt{\frac{1-1+2\text{sin}^2A}{1+2\text{cos}^2A-1} }[/tex]

                  [tex]=\pm\sqrt{\frac{2\text{sin}^2A}{2\text{cos}^2A} }[/tex]

                  [tex]=\pm(\sqrt{\text{tan}^2A})[/tex]

                  [tex]=\text{tanA}[/tex] [Right side of the identity]

Hence, proved.

the red line below is perpendicular to which of the following

Answers

The red line is perpendicular to the y-axis.

Find the average rate of change of g(x)= 7x^4+7/x^3 on the interval [2,3]

Answers

7x^4 +7/x^2 on the interval [-2,3]

solve: − <− + 7( − 2)
(show your work)

Answers

Answer:

hope it helps.

stay safe healthy and happy...

Write functions for each of the following transformations using function notation. Choose a different letter to represent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs in the counterclockwise direction.
• translation of a units to the right and b units up reflection across the y-axis
• reflection across the x-axis rotation of 90 degrees counterclockwise about the origin, point o
• rotation of 180 degrees counterclockwise about the origin, point o
• rotation of 270 degrees counterclockwise about the origin, point o​

Answers

Answer:

1)  [tex]T_{(a, \, b)}[/tex] = f(x - a) + b

Coordinate change

(x, y) → (x + a, y + b)

2) RFy(x, y) = f(-x)

Coordinate change

(x, y) → (-x, y)

3) RFx(x, y) = -f(x)

Coordinate change

(x, y) → (-y, x)

4) RCCW90(x, y) = f⁻¹(-x)

Coordinate change

(x, y) → (-y, x)

5) RCCW180(x, y) = -(f(-x))

Coordinate change

(x, y) → (-x, -y)

6) A 270 degrees counterclockwise rotation gives;

RCCW270(x, y) = -(f⁻¹(x))

Coordinate change

(x, y) → (y, -x)

Step-by-step explanation:

1) Horizontal translation a units right = f(x - a)

The vertical translation b units up = f(x) + b

Therefore, we get; [tex]T_{(a, \, b)}[/tex] = f(x - a) + b

The coordinate change

(x, y) → (x + a, y + b)

2) A reflection across the y-axis = RFy(x, y) = f(-x)

The coordinate change

(x, y) → (-x, y)

3) A reflection across the x-axis gives RFx(x, y) → (x, -y)

Therefore, in function notation, we get;

RFx(x, y) = -f(x)

4) A 90 degrees rotation counterclockwise, we get RotCCW90(x, y) → (-y, x)

In function notation RotCCW90(x, y) = INVf(-x) = f⁻¹(-x)

5) A 180 degrees counterclockwise rotation about the origin gives;

(x, y) → (-x, -y)

Therefore, we get;

In function notation RotCCW180(x, y)  = -(f(-x))

6) A 270 degrees counterclockwise rotation gives RotCCW270(x, y) → (y, -x)

In function notation RotCCW270(x, y) = -(f⁻¹(x))

In the United States, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 at diagnosis with stage IV prostate cancer, 2,337 white men and 344 black men developed a second cancer of some kind after 5 years of follow-up. What is the incidence of a second cancer in the white population

Answers

Answer:

White men diagnosed with stage IV prostatic adenocarcinoma within the age bracket of 70-79 are 1.27 times more likely to survive five years after the diagnosis of stage IV prostatic adenocarcinoma than black men.

Step-by-step explanation:

The exposure is race and the outcome is survival.  

Race   Alive    Dead           T

W       2337     3669         6006

B         344        782          1126  

Relative Risk -  1.27  

White men diagnosed with stage IV prostatic adenocarcinoma within the age bracket of 70-79 are 1.27 times more likely to survive five years after the diagnosis of stage IV prostatic adenocarcinoma than black men.

Choose the answer that is equivalent to the quotient.
(-4x3 + 16x2 21x + 22) divided by (2x – 3)
0-222 +51 - 3+
13
21-3
o 22 – 3+3
O-212 + 52 - 3+
16
21-3
0-222 + 52 - 3

Answers

I believe it would be B sorry if I’m wrong

William needs to work out the size of angle Y in this diagram

One of William’s reasons are wrong.

Write down the correct reason.

Answers

Answer:

because internal staggal angles are equal

Step-by-step explanation:

The first reason is wrong.

Angle EGH and DEG are internal staggal angles:

the two angles are on both sides of the cut line EG, and the two angles are between the two divided lines.

{the definition of internal staggal angle}

I tried figuring it out but its kinda hard not knowing what to make as an equation?

Answers

Its 7 ft
11ft - 4ft = 7ft

PLEASE HELP ME ILL MARK YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

speed = [tex]\frac{distance }{time}[/tex]

Then

speed = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{4}{5}[/tex]Leave the first fraction, change division to multiplication, turn the second fraction upside down.

speed = [tex]\frac{2}{9}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{5(2)}{9(4)}[/tex] = [tex]\frac{10}{36}[/tex] = [tex]\frac{5}{18}[/tex] mile per hour → B

x + 9x + 5 = 35 . Find value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

x + 9x + 5 = 35

=> x + 9x = 35 - 5

=> x + 9x = 30

=> 10x = 30

=> x = 30/10

=> x = 3

Answer:

x = 3

Step-by-step explanation:

Combine like terms. Like terms have same variable with same exponent.

Here x and 9x are like terms

x + 9x + 5  =  35

     10x + 5 = 35

Subtract 5 from both sides

10x + 5 - 5 = 35 - 5

       10x = 30

Divide both sides by 10

10x/10 = 30/10

x = 3

the theater sells two types of tickets: adult tickets for $6 and child tickets for 5$. last night, the theatre sold a total of 375 tickets for a total of $2153. How many adult tickets did the theatre sell

Answers

Hello,

Imagine Algebra does not exist .

Let's suppose all tickets are children's tickets

The sum should be 5$*375=1875$

Not enough, we must have $2153: 2153-1875=278 ($) must be found.

Let's replace a children ticket with an adult one,

we get one dollar more.

We must thus exchange 278 tickets

There are 278 adult tickets and 375-278=97 children tickets

Proof:  278*6+97*5=2153

Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !

Answers

Answer:

each member needs to put in 91.70 dollars in.

Step-by-step explanation:

you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.

then you divide by the amount of people which is three. so 275.1/3 and you get 91.7

Isabell drove 819 miles in 13 hours. at the same rate how many miles would she drive in 7 hours

Answers

Answer:

441 miles

Step-by-step explanation:

Rate of the Car: 819/13 = 63mph

Miles Driven in 7 Hours: 63*7 = 441 miles

Answer:

441 miles

Step-by-step explanation:

* means multiply

819/13 = x/7

13 * x = 819 * 7

13x = 5733

x = 5733 ÷ 13

x = 441

What is the common difference between successive terms in the sequence 0.36, 0.26,0.16,0.06,-0.04,-0.14

Answers

Answer:

- 0.1

Step-by-step explanation:

Look at the diagram. Which angle is supplementary to 1.) 2.) 3.) 4.)

Answers

Answer:

it's going to be EOC

Step-by-step explanation:

I used my brain

Which ordered pair is a solution of 2x+4y=6x-y

Answers

Answer:

5y=4x

Step-by-step explanation:

PLZ HELPPP!!!!!!!!!! ASAP

Answers

Answer:

They are consecutive terms in the Fibonacci Sequence.

Step-by-step explanation:

The sequence goes 1,1,2,3,5,8,13,21,...

Since 13 and 21 are consecutive here, that is the answer.

square root of 10 using graph.
please help​

Answers

Step-by-step explanation:

final answer is 4 91 1 6 this is square root of 10

What is the measure of Z?

Answers

Answer:

It is C

Step-by-step explanation:

142+28=180

180÷2=90

m∠v=90

suppose 2 standard 6 sided dice are rolled at the same time. what is the smaple space for the multiplication of the values for the 2 die

Answers

Answer:

Step-by-step explanation:

Following is the sample space for all the possible outcomes when 2 standard 6-sided dice are rolled simultaneously:

1 2 3 4 5 6

1 1,1 1,2 1,3 1,4 1,5 1,6

2 2,1 2,2 2,3 2,4 2,5 2,6

3 3,1 3,2 3,4 3,4 3,5 3,6

4 4,1 4,2 4,3 4,4 4,5 4,6

5 5,1 5,2 5,3 5,4 5,5 5,6

6 6,1 6,2 6,3 6,4 6,5 6,6

Therefore the sample space for the multiplication of the two values in each possible outcome:

elements of the set are:

1*1=1

1*2=2

1*3=3

...........

2*1=2

2*2=4

2*3=6

.............

so on...

Therefore the complete set:

S={ 1, 2, 3, 4, 5, 6, 2, 4, 6, 8, 10, 12, 3, 6, 9, 12, 15, 18, 4, 8, 12, 16, 20, 24, 5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36 }

Someone please help me ASAP

Answers

Step-by-step explanation:

a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image

If a set of scores for a variable is displayed in a frequency distribution polygon, which scale of measurement was used to measure the variable

Answers

Given: The set of scores for a variable is displayed in a frequency distribution polygon.

To find: We need to find which scale of measurement was used to measure the variable

Solution: A frequency distribution table is always either in interval or in ration scale.

Find the measure of the missing angle using the exterior angle sum theorm

Answers

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and . We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.

Other Questions
Find a linear function that models the cost, C, to produce x toys given the rate of change and initial output value. The cost to produce plastic toys increases by 90 cents per toy produced. The fixed cost is 40 dollars. C(x) = dollars Write a linear model for the amount of usable fabric sheeting, F, manufactured in t minutes given the rate of change and initial output value. Fabric sheeting is manufactured on a loom at 7.25 square feet per minute. The first five square feet of the fabric is unusable. F(t) = ft^2 is the amount of usable fabric sheeting manufactured in t minutes. what did stalin mean by "free elections" The Caldwell Herald newspaper reported the following story: Frank Ormsby of Caldwell is the states newest millionaire. By choosing the six winning numbers on last weeks state lottery, Mr. Ormsby won the weeks grand prize totaling $1.38 million. The State Lottery Commission indicated that Mr. Ormsby will receive his prize in 20 annual installments of $69,000 each. Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables. Required: 1. If Mr. Ormsby can invest money at a 11% rate of return, what is the present value of his winnings? Claryfy in your own words in a couple of sentence how environment education, population educationand health education ate interrelated taking any one basis Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heights of a random sample of 196 people from the city. The average height of your sample is 68 inches, while the standard deviation of the heights in your sample is 7 inches. The standard error of your estimate of the average height in the city is how many 20p coins in 4 The type of written observation that involves recording each time a child displays a particular behavior, such as hitting, is called: One problem with using pesticides to control insects on crops is that the insects can develop resistance to the chemicals. How is this similar to the overuse of antibiotics? Types of themes of The dolls house Katherine mansfieldd Please anyone help Im in summer school lol The Great Gatsby: Where does Nick go so that Gatsby and Daisy can be alone in his house? Read the sentence.Leila stared at the driver of the shiny red convertible stopped in the middle of the intersection, incredulousthat he would stop traffic just to yell at another driver behind him.What does the use of incredulous connote? that Leila is envious of the driver for having a convertibleO that Leila is angry at the driver for stopping in the intersection that Leila thinks she might know the driver of the convertible that Leila is shocked at what the driver of the convertible did A humanities professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 60% C: Scores below the top 40% and above the bottom 23% D: Scores below the top 77% and above the bottom 8% F: Bottom 8% of scores Scores on the test are normally distributed with a mean of 70 and a standard deviation of 9.6. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary How many subsets can be formed from the set F? Diego deposited \$ 10,000$10,000 for 44 years at a rate of 6\%6% simple interest. Find the amount of interest Diego earned after four years. After the French and Indian War, in 1763, the British gained a lot of land. This meant they had to spend a lot of money on A. the people B. development of the land C. buying land Cole biked at 5 mph for 1 hours. Which of the following choices show how far he biked? A=5.5 miles B=6.5 miles C=7.5 miles D=10 miles Which type of graphic organizer would best organize your notes On the topic of food allergies in children and teens how does environment education helps to save the environment ? In what year did George Washington become president of the U.S