1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kari74 [83]
3 years ago
6

Apply the distributive property to create an equivalent expression.

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0

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

You might be interested in
The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in
Stolb23 [73]

Answer:

ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75

±0.75 ounce

Step-by-step explanation:

Assuming this complete question: The Wisconsin Dairy Association is interested in estimating the mean weekly consumption of milk for adults over the age of 18 in that state. To do this, they have selected a random sample of 300 people from the designated population. The following results were recorded: xbar=34.5 ounces, s=7.9 ounces Given this information, if the leaders wish to estimate the mean milk consumption with 90 percent confidence, what is the approximate margin of error in the estimate?

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=34.5 represent the sample mean

\mu population mean (variable of interest)

s=7.9 represent the sample standard deviation

n=300 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=300-1=299

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,199)".And we see that t_{\alpha/2}=1.653

And the margin of error is given by:

ME = 1.653 *\frac{7.9}{\sqrt{300}}= \pm 0.75

±0.75 ounce

4 0
3 years ago
Read 2 more answers
If AC = 2x + 3 and DB = 4x - 1, find x.
Talja [164]
The answer is x= 5 it’s 5
6 0
3 years ago
You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New Yo
mojhsa [17]

Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:

L - Nv = 3/4(Ny - Nv)

For the x-coordinate, we have that:

x + 4 = \frac{3}{4}(5 + 4)

x = \frac{27}{4} - \frac{16}{4}

x = \frac{11}{4}

x = 3.75

For the y-coordinate, we have that:

y = \frac{3}{4}(2)

y = \frac{6}{4}

y = 1.5.

The ordered pair that represents the location of the layover is (3.75, 1.5).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

7 0
2 years ago
Solve the equation 3x + 2 = 4x + 5 using algebra tiles. Which tiles need to be added to both sides to remove the smaller coeffic
Anastasy [175]

Answer:

Step-by-step explanation:

Given the expression

3x + 2 = 4x + 5

1. The smaller coefficient of x is 3

to remove the smaller coefficient

we need to add - 3x to both sides

3x +2 + (-3x) = 4x +5 (-3x)

3x + 2 - 3x = 4x + 5 - 3x

Collecting like terms we have

3x-3x+2= 4x-3x+5

2 = x+ 5

2. The constant on the right side is

5,to remove the constant from the right side of the equation we need to add - 5 to both sides

3x + 2+ (- 5) = 4x + 5 +(-5)

3x+ 2-5 =4x +5-5

3x-3 = 4x

3 0
3 years ago
Describe in detail how you would plot the value 2 3/8 on a number line
malfutka [58]
Between 2 and 3, after the 2 1/4 point, but before the halfway point.
5 0
3 years ago
Other questions:
  • barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm to the nearest cubic ce
    5·2 answers
  • Solve this in a paper
    15·1 answer
  • Please help me please!!!!!!!!
    11·2 answers
  • URGENT! Please help!!Directions are as shown in picture.
    13·1 answer
  • Reduce to the lowest term 5/4 + 2/3 = ?
    14·2 answers
  • Mia planted 5 rows of tomatoe plants with (t) plants in each row and had 8 plants left over. How many plants did Mia begin with
    6·2 answers
  • What is the probability of rolling a pair of dice and getting a sum that is not 8?
    6·1 answer
  • Solutions of inequalities
    11·1 answer
  • Plz help, I will mark brainliest
    8·1 answer
  • Find the “x” in simplest form
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!