The equivalent equation is found by distributing the
1
to get
4.

Answers

Answer 1

The question is incomplete, complete version is written in the comment section below :

Answer:

Kindly check explanation

Step-by-step explanation:

1 / 4 (16 + 12x) = 28

Opening the bracket :

1/4 * 16 + 1/4 * 12x = 28

4 + 3x = 28

Subtract 4 from both sides :

4 + 3x - 4 = 28 - 4

3x = 24

Divide both sides by 3

3x / 3 = 24 / 3

x = 8


Related Questions

According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
A. It will increase by 7%.
B. It will decrease by 7%.
C. It will decrease by 1%.
D. It will increase by 1%.

Answers

Answer:

D. It will increase by 1%.

Step-by-step explanation:

Given

[tex]u_1 = 5\%[/tex] --- initial rate

[tex]u_2 = 3\%[/tex] --- final rate

Required

The effect on the GDP

To calculate this, we make use of:

[tex]\frac{\triangle Y}{Y} = u_1 - 2\triangle u[/tex]

This gives:

[tex]\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)[/tex]

[tex]\frac{\triangle Y}{Y} = 5\% - 2(2\%)[/tex]

[tex]\frac{\triangle Y}{Y} = 5\% - 4\%[/tex]

[tex]\frac{\triangle Y}{Y} = 1\%[/tex]

This implies that the GDP will increase by 1%

Answer: A. It will increase by 7%.

Step-by-step explanation: I took this course!

What is the simplified value of the exponential expression 27 1/3 ?

O1/3
O1/9
O3
O9

Answers

Answer:

the correct answer is 3

hope it helps

have a nice day

Suppose a life insurance company sells a $240,000 one-year term life insurance policy to a 19-year-old female for $240. The probability that the female survives the year is 0.999578. Compute and interpret the expected value of this policy to the insurance company. The expected value is $ (Round two decimal places as needed.)

Answers

Answer:

$138.72

Step-by-step explanation:

(1-0.999578)*$240,000 = $101.28

$240 - $101.28 = $138.72

what is the range of the funcion y=x^2

Answers

Answer:

Range = [0, infinity)

Step-by-step explanation:

Minimum point of the graph is at (0,0) and it is a u shaped graph. Hence, range is 0 inclusive to infinity

The range of the function y = x2 is all real numbers, y, such that y ≥ 0. In the case of the function y = x2, the domain consists of all real

You are watching an airplane fly in the distance.The airplane is traveling at altitude of 8 kilometers How far is the airplane from your location?

Answers

8km
Distance from your location = the airplane’s altitude.

Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000 that earns 4% annual interest. If the total interest from both accounts at the end of the year is $535, how much has been invested in each account?

Answers

First account: $6500
Second account: $8500

Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500

The solution to the equation x3 = 125 is: 5 -5 ±5

Answers

Answer:

x=5

Step-by-step explanation:

x^3 = 125

Take the cubed root of each side

x^3 ^ (1/3) = 125 ^ (1/3)

x = 5

(6a/8+3) + 7a/8...........

Answers

Hello!

(6a/8+3) + 7a/8 =

= 6a/11 + 7a/8 =

= 125/88 × a

Good luck! :)

The weight gain of beef steers were measured over a 140 day test period. the average daily gains (lb/day) of 10 steers on the same diet were as follows. The tenth steer had a weight gain of 4.02 lb/day.
3.89 3.51 3.97 3.31 3.21 3.36 3.67 3.24 3.27
determine the mean and median.

Answers

Answer:

[tex]\bar x = 3.545[/tex]

[tex]Median = 3.435[/tex]

Step-by-step explanation:

Given

[tex]x:3.89, 3.51, 3.97, 3.31, 3.21, 3.36, 3.67, 3.24, 3.27[/tex]

[tex]10th: 4.02[/tex]

Solving (a): The mean

This is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{3.89 +3.51 +3.97 +3.31 +3.21 +3.36 +3.67 +3.24 +3.27+4.02}{10}[/tex]

[tex]\bar x = \frac{35.45}{10}[/tex]

[tex]\bar x = 3.545[/tex]

Solving (b): The median

First, we sort the data; as follows:

[tex]3.21, 3.24, 3.27, 3.31, 3.36, 3.51, 3.67, 3.89, 3.97, 4.02[/tex]

[tex]n = 10[/tex]

So, the median position is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{10 + 1}{2}th[/tex]

[tex]Median = \frac{11}{2}th[/tex]

[tex]Median = 5.5th[/tex]

This means that the median is the average of the 5th and 6th item

[tex]Median = \frac{3.36 + 3.51}{2}[/tex]

[tex]Median = \frac{6.87}{2}[/tex]

[tex]Median = 3.435[/tex]

Which rule describes the composition of transformations that maps ABC to A”B’C”

Answers

it was a reflection over the y axis and then a rotation keeping the b point the same

what is the approximate value of x in the diagram below?

Answers

Answer:

Where is the diagram though..

Step-by-step explanation:

Suppose that two balanced, six sided dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. (a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7

Answers

Answer:

[tex]\frac{(2/36)}{(1-(28/36))} = 1/4[/tex]

Step-by-step explanation:

Find the mean of the following data set.

8, 5, 15, 12, 10

A. 12.5
B. 10
C. 14
D. 50

Answers

Answer:

10

Step-by-step explanation:

the sum of 8,5,15,12,10 is 50 and there are 5 numbers so 50 divided by 5 is 10 and it's mean is also 10

hope this helps !

The answer is B/10 trust

Graph the line that represents this equation:
y = -5.1 +2

Answers

That's for the equation I got from the picture

amy shoots a 100 arrows at a target each arrow hits with a probability 0.01 what is the probability that one of her first 5 arrows hit the target

Answers

Answer:

0.5759

Step-by-step explanation:

a student takes two subjects A and B. Know that the probability of passing subjects A and B is 0.8 and 0.7 respectively. If you have passed subject A, the probability of passing subject B is 0.8. Find the probability that the student passes both subjects? Find the probability that the student passes at least one of the two subjects

Answers

Answer:

0.64 = 64% probability that the student passes both subjects.

0.86 = 86% probability that the student passes at least one of the two subjects

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Passing subject A

Event B: Passing subject B

The probability of passing subject A is 0.8.

This means that [tex]P(A) = 0.8[/tex]

If you have passed subject A, the probability of passing subject B is 0.8.

This means that [tex]P(B|A) = 0.8[/tex]

Find the probability that the student passes both subjects?

This is [tex]P(A \cap B)[/tex]. So

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

[tex]P(A \cap B) = P(B|A)P(A) = 0.8*0.8 = 0.64[/tex]

0.64 = 64% probability that the student passes both subjects.

Find the probability that the student passes at least one of the two subjects

This is:

[tex]p = P(A) + P(B) - P(A \cap B)[/tex]

Considering [tex]P(B) = 0.7[/tex], we have that:

[tex]p = P(A) + P(B) - P(A \cap B) = 0.8 + 0.7 - 0.64 = 0.86[/tex]

0.86 = 86% probability that the student passes at least one of the two subjects

In a right triangle, the lengths of the two legs are 8 cm and 10 cm respectively. Find the hypotenuse of the triangle.
9 cm
10.5 cm
12 cm
12.8 cm

Answers

12.8, pythagorean theorem.

Which of the following is NOT equivalent to 2x + x - y + 3 + 5?

x + x + x - y + 8
3x - y + 8
2x 2 - y + 5 + 3
x + 2x - y + 5 + 3

Answers

Answer:

2x 2 - y + 5 + 3

Step-by-step explanation:

2ggfdfguutffyreryyrrrrrrrr

Which is the graph of f(x) = 4(1/2)^x

Answers

Answer:

B.

Step-by-step explanation:

f(x) = 4(1/2)^x

Let's find the value of the function for x = 0 and for x = 1.

f(0) = 4(1/2)^0 = 4(1) = 4

f(1) = 4(1/2)^1 = 4(1/2) = 2

The only graph that has both points (0, 4) and (1, 2) is the second graph.

Answer: B.

What sum is represented by the following number line?

Answers

Answer:

[tex]2\frac{3}{4} +(-4\frac{1}{4} )=-1\frac{2}{4}[/tex]

Step-by-step explanation:

That's the only equation that makes sense to the number line

7 is added to the product of 5 and 6​

Answers

Answer:

37

Step-by-step explanation:

7 + (5×6)

= 7 + 30

= 37

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

Answer:

37

Step-by-step explanation:

First Step: Multiply

5x6=30

Second Step: Add

30+7=37

Therefore your answer is 37

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

In a particular year, the mean score on the ACT test was 22.5 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 526 and the standard deviation was 101. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places.

Answers

Question is incomplete ; The questions solved were picked from similar questions but different parameters. However, the solution pattern are exactly the same.

Answer:

- 0.0943

- 0.386

30.185

Step-by-step explanation:

Given :

ACT:

Mean score, m = 22.5

Standard deviation, σ = 5.3

SAT :

Mean score, m = 526

Standard deviation, σ = 101

1.)

Zscore for ACT score of 22:

Since the distribution is normal ; we use the relation ;

Zscore = (score - mean) / standard deviation

Score = 22

Zscore = (22 - 22.5) / 5.3 = - 0.0943

B.)

Zscore for SAT of 487

Zscore = (score - mean) / standard deviation

Score = 487

Zscore = (487 - 526) / 101 = - 0.386

C.)

ACT score, for ACT Zscore of 1.45

Zscore = (score - mean) / standard deviation

ZScore = 1.45

1.45 = (score - 22.5) / 5.3

1.45 * 5.3 = (score - 22.5)

7.685 = score - 22.5

Score = 7.685 + 22.5

Score = 30.185

Suppose X and Y are two independent exponential variables. The mean of X is twice the mean of Y. If the probability of X exceeding 50 is 0.7788, what is the probability of Y exceeding 40

Answers

If X ~ Exponential(µ), then the mean of X is 1/µ. So if the mean of X is twice the mean of Y, then the mean of Y is 1/(2µ), so that Y ~ Exponential(2µ).

We're given that

P(X > 50) = 1 - P(X ≤ 50) = 1 - Fx (50) ≈ 0.7788

==>   Fx (50) = P(X ≤ 50) ≈ 0.2212

where Fx is the CDF of X, which is given for 0 ≤ x < ∞ to be

Fx (x) = 1 - exp(-µx)

Solve for µ :

1 - exp(-50µ) ≈ 0.2212   ==>   µ ≈ -ln(0.7788)/50 ≈ 0.005

Then we have

P (Y > 40) = 1 - P (Y ≤ 40) = 1 - Fy (40)

where Fy is the CDF of Y,

Fy (y) = 1 - exp(-2µy)

so that

P (Y > 40) ≈ 1 - exp(-2 × 0.005 × 40) ≈ 0.3297

Factor completely 4x2 − 8x + 4.

Answers

Given :-

4x² - 8x - 4 .

To Find :-

To find the factorised form .

Answer :-

Taking the given expression,

→ 4x² - 8x + 4

→ 4x² - 4x -4x + 4

→ 4x ( x - 1 ) -4( x -1)

→ (4x - 4)(x-1)

Hence the required answer is (4x - 4)( x - 1) .

Help please I don’t get may I please have help with this

Answers

Answer:

[tex]1)\:2\frac{2}{3} ft[/tex]

[tex]2)\:4[/tex]

[tex]3)\:\frac{20}{3} ft^{2}[/tex]

[tex]4)\:10\frac{2}{3} ft^{2}[/tex]

------------------------

hope it helps...

have a great day!!

Find the scale ratio for the map described below.
1cm ​(map) 50km ​(actual)
The scale ratio is 1 to .....?

Answers

Answer:

50,000 : 0.01

multiply by 100...

5000000 : 1

 1:5,000,000

Step-by-step explanation:

Type the standard form of "three thousand four hundred eight."
The solution is

Answers

Answer:

the standard form of "three thousand four hundred eight is

3408

hope it is helpful to you ☺️

In standard form we can write 3408 as 3.408 x [tex]10^{3}[/tex].

We have the following statement - three thousand four hundred eight

We have to write it in standard form.

What do you understand by Standard form of a Number ?

A number when expressed as a decimal number, between 1 and 10, multiplied by a power of 10, is said to be in standard form.

According to the question, we have -

three thousand four hundred eight.

In the digit form, we can write it as - 3408.

In Standard form, we can write it as -

3408 = 3.408 x [tex]10^{3}[/tex]

Hence, in standard form we can write 3408 as 3.408 x [tex]10^{3}[/tex].

To solve more questions on Standard form, visit the link below -

https://brainly.com/question/17136267

#SPJ2

Divide the following quantities in the following ratios £100 1:3

Answers

The answer is 25:75….

the admission fee for a charity event is $7 for children and 10$ for adults. The event was attended by 700 people, and the total amount collected in admissions was $6,400.

Answers

Answer:

200 kids and 500 adults

Step-by-step explanation:

x+y=700

7x+10y=6,400

(200,500)

kids=200

adults=500

What is the effect of X on Y?

Answers

Answer:

GMM,pooled OLC,even cross country OLC are most variables not difficult panel data analysis

Other Questions
The price of a jacket usually costing 50 is increased to 65.Work ou the percentage increase. What is the difference between a Supreme Court opinion and a Supreme Court dissent?An opinion is a Supreme Court decision that the majority of the judges disagree with, while a dissent agrees with the decision.An opinion is a Supreme Court decision that the majority of the judges agree with, while a dissent disagrees with the decision.An opinion is a Supreme Court summary of the case, while a dissent is the final decision made on the case.An opinion is a Supreme Court decision suggested by one of the judges, while a dissent summarizes previous decisions on similar issues. Even if you are willing to take on more responsibility, you need to make sure that ______. a. you do not take on too much b. you do not take on too little c. you do not take on hard work d. you do not take on easy work Please select the best answer from the choices provided A B C D The ratio of two side lengths for the triangle is given. What is the value of q AB:BC is 3:4 Why is there different time zones in different parts of the world? What's the time zone in your country? Elephants are considered K-strategists because they give birth to only one calf at a time and most have five years in between having another calf. Calves stay under the protection of the mother and her herd until maturity at 10-15 years of age. What type of survivorship curve do elephants tend to follow y = 2x + 3y=2x-1The system has how many solutions?one solutiontwo solutionsno solutionan infinite number of solutions Draw a Card. Write a program to simulate drawing a card. Your program will randomly select one card from a deck of 52 playing cards. Your program should display the rank (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and suit (Clubs, Diamonds, Hearts, Spades) of the card. Here is a sample run of the program: in The card you picked is Jack of Heart The program should use at a minimum: sequence, selection, arrays, and random numbers. How did contact between the Western Hemisphere and Europe change through the exchange of plants, animals, and pathogens? Case StudyDiane applied for an office position she was not qualified for. She has weak computer skills, noexperience answering phones, and has never taken notes at a meeting. Her dishonesty willlikely be uncovered by:A social media sites.B -referencesC -other applicants.D) friends. Which sentence from the final paragraph of the passage conveys a call to action?"We urgently need an end to these false assurances, to the sugar coating of unpalatable facts.""It is the public that is being asked to assume the risks that the insect controllers calculate.""The public must decide whether it wishes to continue on the present road, and it can do so only when in fullpossession of the facts.""In the words of Jean Rostand, 'The obligation to endure gives us the right to know."" Tu padre es el abuelo de ____ (your) hijos Can someone help me with this math homework please! explain and justify the saying: To remain ignorant of history is to remain forever a child. What transitional tags can you use to show chronological order? in other words, according to unless, under, when, while however, therefore, instead first, next, then, finally please help its timed someone please help!! The following data relates to Black-Out Company's estimated amounts for next year. Estimated: Department 1 Department 2 Manufacturing overhead costs $ 300,000 $ 400,000 Direct labor hours 60,000 DLH 80,000 DLH Machine hours 1,000 MH 2,000 MH What is the company's plantwide overhead rate if machine hours are the allocation base Solve for x. Round to the nearest tenth of a degree, if necessary Which of the following is part of the generally accepted account of the 1822 conspiracy led by Denmark Vesey?A. His lieutenant was named Cinque. B. Vesey and his followers killed or maimed 37 whites. C. Vesey studied the Magna Carta and quoted the Farmer's Almanac.D. Vesey had purchased his freedom after winning the lottery. Identifying Possible TrianglesFrom which set of dimensions could a triangle be constructed?side length of 8side length of 5side length of 14O side length of 7side length of 8side length of 15side length of 2side length of 6side length of 7side length of 6side length of 3side length of 10 can somebody answer this quickly pls