(4x)m+(5x+3)m+(5x+1)m=102
Find the sides of the triangle. Perimeter =102

Answers

Answer 1

Here is the set up:

Side 1 is 4x.

Side 2 is 5x + 3

Side 3 is 5x + 1

The perimeter is 102.

Perimeter = side 1 + side 2 + side 3

102 = 4x + 5x + 3 + 5x + 1

102 = 14x + 4

Take it from here.


Related Questions

For the expression: 12 - 7k + 9 - k
What are the terms?
What are the like terms?
What are the coefficients?
What are the constants?
What is the expression simplified?​

Answers

Answer:

like terms is -7k-k and 12+8

The terms are 12,7k,9,k ( terms are separated by either a plus or minus signs)

Like terms are 12 and 9, 7k and k

The coefficients are 7 and 1 ( these are numbers that come before a variable e.g 7k, so 7 is the coefficient of k.

The constants are the numbers which are not variables like 12 and 9

21 - 8k ( add or subtract the like terms only)


Plz give brainleast if this answers helped ya :)

Solve the system by substitution or elimination. {y=2x+8y=3x−1 A. (95,585) B. (7, 22) C. (9, 26) D. (75,545)

Answers

Answer:

C. (9, 26)

Step-by-step explanation:

By Substitution:

y = 2x + 8

y = 3x - 1

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

2x + 8 = 3x - 1

-x + 8 = -1

-x = -9

x = 9

Now we can choose either of the two equations given to solve for y:

y = 2x + 8

y = 2(9) + 8

y = 18 + 8

y = 26

(9, 26)

By Elimination:

For this process, I am going to rewrite the equation in "x + y" for as it will make it easier to eliminate the variables

y = 2x + 8

2x - y = -8

y = 3x - 1

-3x + y = -1

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

2x - y = -8

-3x + y = -1

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

-x = -9

x = 9

2x - y = -8

2(9) - y = -8

18 - y = -8

-y = -26

y = 26

(9, 26)

What is an equation of the line that passes through the point (-8,0) and is perpendicular to the line x+2y=14

Answers

Step-by-step explanation:

let eqn be y = mx + b.

Since perpendicular, m = - 1/(-0.5) = 2

sub (-8, 0):

0 = 2(8) + b

b = - 16

therefore equation is y = 2x - 16

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Which line has a slope of 0?

Answers

Answer:

y= -5

Step-by-step explanation:

Answer:

y= -5

Step-by-step explanation:


5
Subtract 27 from 43
14
21

Answers

Answer:

-0.4522

Step-by-step explanation:

1. If 15% of adults in a certain country work from home, what is the probability that fewer than 42 out of a random sample of 350 adults will work from home? (Round your answer to 3 decimal places)
2. Suppose we want to estimate the proportion of teenagers (aged 13-18) who are lactose intolerant. If we want to estimate this proportion to within 4% at the 95% confidence level, how many randomly selected teenagers must we survey?

Answers

Answer:

(1) 0.058

(2) 601

Step-by-step explanation:

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p\\[/tex]

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

As the sample size is large, i.e. n = 350 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion of adults in a certain country work from home.

Compute the probability that fewer than 42 out of a random sample of 350 adults will work from home:

Sample proportion: [tex]\hat p=\frac{42}{350}=0.12[/tex]

[tex]P(\hat p < 0.12)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.12-0.15}{\sqrt{\frac{0.15(1-0.15)}{350}}})\\\\=P(Z<-1.57)\\\\=0.05821\\\\\approx 0.058[/tex]

Thus, the probability that fewer than 42 out of a random sample of 350 adults will work from home is 0.058.

(2)

The (1 - α)% confidence interval for population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

Given:

MOE = 0.04

Confidence level = 95%

Assume that the sample proportion is 50%.

The critical z-value for 95% confidence level is 1.96.

Compute the required sample size as follows:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.50(1-0.50)}}{0.04}]^{2}\\\\=600.25\\\\\approx 601[/tex]

Thus, the required sample size is 601.

1. Using the normal approximation to the binomial, it is found that there is a 0.05 = 5% probability that fewer than 42 out of a random sample of 350 adults will work from home.

2. Solving the equation for the margin of error of a confidence interval of proportions, it is found that we must survey 601 randomly selected teenagers.

Question 1:

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

In this problem:

15% work from home, thus [tex]p = 0.15[/tex].Sample of 350 adults, thus [tex]n = 350[/tex]

Then, for the approximation:

[tex]\mu = np = 350(0.15) = 52.5[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{350(0.15)(0.85)} = 6.68[/tex]

Using continuity correction, the probability is [tex]P(X < 42 - 0.5) = P(X < 41.5)[/tex], which is the p-value of Z when X = 41.5. So:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41.5 - 52.5}{6.68}[/tex]

[tex]Z = -1.65[/tex]

[tex]Z = -1.65[/tex] has a p-value of 0.05.

0.05 = 5% probability that fewer than 42 out of a random sample of 350 adults will work from home.

Question 2:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem:

Within 4%, thus [tex]M = 0.04[/tex].We do not have an estimate for the true proportion, thus [tex]\pi = 0.5[/tex].95% confidence level, thus z has a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], thus z = 1.96.

We have to solve for n, then:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96(0.5)}{0.04})^2[/tex]

[tex]n = 600.25[/tex]

Rounding up:

We must survey 601 randomly selected teenagers.

A similar problem is given at https://brainly.com/question/24261244

Slope for (20,8)(9,16)?

Answers

Answer:

m=-8/11

Step-by-step explanation:

[tex]\frac{Y2-Y1}{X2-X1} =\frac{y}{x}[/tex]

[tex]\frac{16-8}{9-20} =\frac{-8}{11}[/tex]

Solve the following​

Answers

Answer:

Q1

|a-b| = b-a when a<b

Q2

104159/33000

Step-by-step explanation:

Q1

If a<b then a-b will always be negative.  To get the absolute value, we can take -(a-b) = -a+b = b-a.

Q2

Let x = 3.12789789789...

We isolate the repeating decimal to start after the decimal, so we multiply by 100.

100x = 312.789789789...

We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.

100000x = 312789.789789

Subtracting the two...

x(100000-100) = 312789.789789 - 312.789789

99900x = 312477

x = 312477/99000 = 104159/33000

1) Find the interior angle sum of a 36-gon.

6120°

720°

900°

1800º

Answers

Sum of interior angles = ( number of sides -2) x 180 degrees.

Sum = (36-2) x 180

Sum = 34 x 180

Sum = 6,120 degrees.

Solve the following inequality using both the graphical and algebraic approach:
5-x<2(x - 3) + 5
A) x<2 Graph A
B) x>2 Graph A
C) x<2 Graph B
D) x>2 Graph B

Answers

Answer:

a

Step-by-step explanation:

a

The correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, an inequality 5-x<2(x - 3) + 5

On solving, we get,

5-x < 2x-6+5

5-x < 2x-1

5+1 < 3x

x < 2

Let y₁ = 5-x, and y₂ = 2(x - 3) + 5

Plotting the graph, we get the graph A

Hence, the correct answer for the given inequality 5-x<2(x - 3) + 5 is x<2 Graph A

For more references on inequality, click;

https://brainly.com/question/28823603

#SPJ2

Can someone help plz helpppp!!!!!

Answers

Answer:

4N left

5N left

0N (balanced)

9N right

Step-by-step explanation:

The net force is the vector sum of all of the forces acting on an object. To find the net force when there are two opposite forces subtract the smaller number from the larger, for example, 7-2. Then take to total, 5N, and add the direction of the stronger force. If the equation equals zero that means you have a balanced force. To find the force of two actions in the same direction simply add them.

jose trabaja 4 3/4 horas el lunes, 3 1/2 horas el martes, 6 3/4 horas el miercoles, 4 1/2 horas el jueves y 6 horas viernes, y 5 horas el sabado en promedio cuantas horas diarias trabaja​

Answers

Answer:

5 horas

Step-by-step explanation:

Answer:

Step-by-step explanation:

( [tex]4\frac{3}{4}[/tex] + [tex]3\frac{1}{2}[/tex] + [tex]6\frac{3}{4}[/tex] + [tex]4\frac{1}{2}[/tex] + 6 + 5 ) ÷ 6 =

( 4 + 3 + 6 + 4 + 6 + 5 + [tex]\frac{6}{4}[/tex] + 1 ) ÷ 6 = 30.5 ÷ 6 = [tex]\frac{61}{2}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{61}{12}[/tex] = [tex]5\frac{1}{12}[/tex] horas al dia

What is the unit price of a 2 1/2 pound turkey for $6.25

Answers

Answer:

$2.50

Step-by-step explanation:

6.25/2.5=2.5

A length of chain is to be constructed by placing 36 component links end to end. The length of a link produced by a production process is known to be a random variable with a mean of 2.5 cm with a standard deviation 0.2 cm. The 36 links are chosen at random from this process to produce the chain. The mean and standard deviation of the length of chain are, respectively _________.

a. 90 cm, 7.2 cm
b. 36 cm, 1.2 cm
c. 90 cm, 2.7 cm
d. 90 cm, 1.2 cm
e. 36 cm, 7.2 cm

Answers

Answer:

d. 90 cm, 1.2 cm

Step-by-step explanation:

Given that:

The sample size n = 36

For the  length of the link:

The mean [tex]\overline x[/tex] = 2.5

The standard deviation s = 0.2 cm

In a chosen 36 links, The mean and standard deviation for the length chain is as follows:

Mean = n[tex]\overline x[/tex]

Mean = 36×2.5

Mean = 90 cm

The Standard deviation = s×√n

The Standard deviation = 0.2×√36

The Standard deviation = 0.2×6

The Standard deviation = 1.2 cm

What is -7 as a fraction and explain plss

Answers

Answer:

-7/1

Step-by-step explanation:

any number over 1 in a fraction is the number on the top of one for example

2/1 is 2 and 100/1 is 100 and even -7/1 is -7

Express x^2+y^2+4x-6y+1=0 in polar coordinates form

Answers

Answer:

Step-by-step explanation:

d over d x over y=-1 over 2 y plus 3 over 2

{ vowels in the word ALGEBRA}​

Answers

Answer:

3 counting ALL VOWELS, or, 2 counting no double ups

Step-by-step explanation:

vowels - a, e, i, o, u

Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?

Answers

Answer:

The ratio is 15:5 or 3:1. If Marianne is 3 years old, her brother is 1. And it is proportional...

Step-by-step explanation:

Eighteen cups are equally packed into 6 boxes. Two boxes of cups break. How many cups are unbroken?

Answers

Answer:12

Step-by-step explanation:

18/6=3 cups in each box

3*2=6 cups broke=2 boxes

18-6=12 cups are unbroken

what is y=(-2/3)x+400 as a function?

Answers

Answer:

y= −2x/3 + 400

Step-by-step explanation:

Hope this helps :)

Answer: what the other dude said

Step-by-step explanation:

What fraction is larger 3/8 or 10/24?

Answers

Answer:

10/24

Step-by-step explanation:

hope this helps :)

Answer:

5/8

Step-by-step explanation:

Have a good day! :)

PLEASSSEEE HELPPP ASAPPPPP

Answers

Answer:

first one is 32

the second one is 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let RS = x , then PS = x²

2x² + 2x = 84

x² + x - 42 = 0

(x + 7)(x - 6) = 0

x = 6

PQ and RS are 6

QR and SP are 36

Race to get brainliest, need help!

The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number

Answers

Answer:

Original number is 86

Step-by-step explanation:

              Original:   10x + y

Double reversed:   2(10y + x)

Constraints:

  x + y = 14                                     ===>            x = 14 - y

  2(10y + x) + 10x + y = 222          ===>           21y + 12x = 222

Substitution to find y:

  21y + 12x = 222

  21y + 12(14 - y) = 222

  21y + 168 - 12y = 222

            9y + 168 = 222

                      9y = 54

                        y = 6

Substitution to find x:

  x = 14 - y

  x = 14 - 6

  x = 8

Original:   10x + y

                 10(8) + (6)

                 80 + 6

                 86

x = Tens place
y = Ones place
x+y=14
y=14-x
2(10y+x)+(10x+y)=222
20y+2x+10x+y=222
21y+12x=222
21(14-x)+12x=222
294-21x+12x=222
-9x = -72
x = 8
y = 14-8 =6
ANSWER: 86

Is 319,459 divisible by 2?
yes
no
Submit

Answers

Answer:

no

Step-by-step explanation:

319,459 is not an even number

In this graph the y-intercept of the line is (Blank). The equation of the line is y=(Blank) x (Blank) .​

Answers

Answer:

In the graph, the y-intercept is -2. The equation of the line is [tex] y = x - 2 [/tex]

Step-by-step explanation:

The equation of the line can be written in the slope-intercept form, y = mx + b.

First we need to find:

The slope = m

the y-intercept = b

Using two points on the line, (0, -2) and (2, 0) the slope can be calculated as follows:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-2)}{2 - 0} = \frac{2}{2} = 1 [/tex]

The y-intercept is simply the point at which the line intercepts the y-axis. It is the value of y when x = 0.

Therefore, the y-intercept, b, = -2.

Substitute m = 1 and b = -2 into [tex] y = mx + b [/tex].

Thus, the equation if the line would be:

[tex] y = (1)(x) + (-2) [/tex]

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

Help me with this pls

Answers

i think it’s y=x+4.
y = 1x + 4 is the answer, slope intercept form is y = mx + b where m is the slope and b is the y - intercept :D

What is the answer for number 2

Answers

The answer is 63. The answer is in the picture

Answer:

Your answer would be x = 63

Step-by-step explanation:

What I would do first is to isolate the -1/9x, which means I would subtract 17 on each side, giving me -1/9x = -7

Next I would multiply -9 (which is the inverse of -1/9) on both sides, negating the negative sign and making 63 positive, and thus isolating x as well.

The graph displays the distance a CO2 car traveled in a race.
Help!!!

Answers

Answer:

5 seconds per foot

Step-by-step explanation:

Answer:A

Step-by-step explanation:

what is the degree measure of f?

Answers

The answer is 58 pretty sure

Factor 15x-10x^3

PLEASE ASNWER ASAP

Answers

Answer:

[tex]\huge\boxed{\sf 5x(3-2x^2)}[/tex]

Step-by-step explanation:

[tex]\sf 15x-10x^3\\\\Greatest Common Factor = 5x\\\\So, We'll \ take \ 5x \ common\\\\= 5x ( 3-2x^2)\\\\Thus, this \ is \ the \ factorized\ form\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807
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