Question 3

4

If JL = 9x - 5, LR = 7x - 2, and JR = 35, find JL. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

JL = 166 units

Step-by-step explanation:

Given that,

JL = 9x - 5, LR = 7x - 2, and JR = 35

Let us assume that, R is the midpoint of J and L. So,

JL = JR + RL

Putting all the values,

9x - 5 =35 + 7x - 2

Taking like terms together as follows :

9x-7x = 33 + 5

2x = 38

x = 19

Put the value of x inm, JL = 9x-5

JL = 9(19)-5

JL = 166

The value of JL is 166 units.


Related Questions

which fraction represents 56 shares evenly distributed among 12 people

Answers

Answer:

14/3

Step-by-step explanation:

When 56 shares are evenly distributed between 12 people, each person gets equal number of shares.

The number of shares gotten by each person is the ratio of the total number of shares to the total number of people. It is given by the formula:

number of shares gotten by each person = total number of shares / total number of people

number of shares gotten by each person = 56 shares / 12 people

number of shares gotten by each person = 14/3 shares

how do i estimate .48

Answers

To estimate, we can round to the nearest tenth.

How to round:

5 and above, round up.

4 and below, round down.

0.48 -> 0.5

Best of Luck!

63x^12-35x^6 help pls

Answers

Answer:

7x^6×(9×^6-5)

Step-by-step explanation:

63x^12-35x^6

7x^6×(9×^6-5)

Answer:I dont know

Step-by-step explanation: Can you pls rate this good I am in 2 grade

A randomized study compared two different techniques for improving one's memory. The treatment group using Technique A reported that the subjects were able to memorize a mean of 8.9 words. The treatment group using Technique B reported that the subjects were able to memorize a mean of 12.1 words. To determine if the results are significant, the data are re-randomized and the differences of the means are shown in the dot plot. What is the best conclusion to make based on the data?

Answers

Answer:

The best conclusion that can be made based on the data on the dot plot is:

The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.

Step-by-step explanation:

Randomization is the standard used to compare the observational study and balance the factors between the treatment groups and eliminate the variables' influence. Some studies analyze that the treatment in the randomization calculates the appropriate number of the subjects as the treatment to memorize is 8.9, and the treatment for the B is 12.1 words.

The mean difference is not significant because the re-randomization shows that it is within the range of what could happen by chance.

The treatment group using technique A reported a mean of 8.9 words.

The treatment group using technique B reported a mean of 12.1 words.

After the data are re-randomized, the differences of means are shown in the dot plot.

The result is significant because the re-randomization show that it is outside the range. The best conclusion that can be made based on the data on the dot plot is:

The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.

Answer:

The answer is actually

-The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.

*just took the test hope this helps:)*

The sum of three numbers is 49. The second number is five less than three times the third number. If the first number is twice the amount of the third number, what is the value of the second number?

Answers

Answer:

(x, y, z) → (18, 22, 9)

Step-by-step explanation:

sum of three numbers is 49

x + y + z = 49

second number is 5 less than three times the third number

y = 3z - 5

first number is twice amount of third number

x = 2z

set of equations

x + y + z = 49

y = 3z - 5

x = 2z

plug in 2nd and 3rd equation into first

(2z) + (3z - 5) + z = 49

combine like terms

2z + 3z - 5 + z = 49

6z - 5 = 49

add 5 to both sides

6z = 54

divide by 6

z = 9

plug z into 2nd and 3rd equations

y = 3(9) - 5

y = 27 - 5

y = 22

x = 2(9)

x = 18

check:

18 + 22 + 9 = 49

(x, y, z) → (18, 22, 9)

A car drives with an average velocity of 20.1 m/s . After some time, it has traveled 34.2 km. How long has the car been traveling?

Answers

Answer:

time = distance / velocity

time = 34,200 meters / 20.1 meters per second

time = 1,701.4925373134 seconds

time = 28.36 minutes

 

Step-by-step explanation:

Find the population mean or sample mean as indicated.Sample: 19, 15, 6, 11, 24Required:Compute the sample mean for this data set.

Answers

Answer:

The sample mean is 15.

Step-by-step explanation:

We have given data 19, 15, 6, 11, 24.

We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.

Sample mean = (19+ 15 +6 +11 +24) / 5

Sample mean = 75 / 5

Sample mean = 15

Therefore the sample mean of the given data is 15.

What is represented by the number below the abbreviation of the element in the periodic table? The atomic mass The atomic number The melting point The valence number​

Answers

Answer:

Atomic Mass

Step-by-step explanation:

Correct answer as per the test

The abbreviation of the element in the periodic table will be atomic number. Then the correct option is B.

What is a periodic table?

An arrangement of atoms by their atomic numbers, often in rows, such that atoms with comparable atomic structures (and thus comparable chemical characteristics) are shown in vertical slats.

The abbreviation of the element in the periodic table will be atomic number.

Then the correct option is B.

More about the periodic table link is given below.

https://brainly.com/question/11155928

#SPJ2

this is rlly easy but im lazy and dont wana answer it, i mark brainliesttttt tyyy ❤️

Answers

Answer:

C and D is correct

Step-by-step explanation:

C: Debit is negative, and if you add 27 to -14, you get 13 which is Maria's account.

D: Its the same thing but opposite. 13 minus 27 is -14.

Hope it helps

Answer:

both c and d

Step-by-step explanatioin

nobody is answering my question so im saving up like 100 points so someone will actually do it so ye


a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
b. Plot 0.193 on a number line on which the long
tick marks are tenths.
c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.

Answers

Answer:

Se attached for plots and here is position of the numbers:

a. Plot 13.58 on a number line on which the long

tick marks are whole numbers.

13 < 13.58 < 14

b. Plot 0.193 on a number line on which the long

tick marks are tenths.

0.1 < 0.193 < 0.2

c. Plot 26.9999 on a number line on which the

long tick marks are thousandths.

26.999 < 26.9999 < 27.000

A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. The actual dimensions of the building are 30 feet long by 55 feet wide. true or false

Answers

1 inch = 10 feet.

3 inches x 10 = 30 feet

5.5 inches x 10 = 55 feet

The actual room is 30 feet x 55 feet.

The answer is true.

Answer:

Round up to the Nernst number

Step-by-step explanation:

45 inches

What is the distance between the points (3,-2) and (-4, 1)?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{58} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( 3 , -2 ) be ( x₁ , y₁ ) and B ( -4 , 1 ) be ( x₂ , y₂ )

Finding the distance between these points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 - ( - 2))}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 + 2)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {(3)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{49 + 9}}} [/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{58} }}[/tex] units

Hope I helped!

Best regards! :D

PLEASE HELP ME I WILL MARK AS BRAINLIEST ANSWER

A map has a scale of
6 in=12 mi. If you measured the distance between two cities to
be 22 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.

Answers

Answer:

The answer is 264

Step-by-step explanation:

We start with a ratio of inches to miles-        6:12

we see that it can be simplified to                  1:2

if we see that on the map it is 22in,             22:?

we got 1 to 22 by multiplying 1*22=22

do the same to the 12: 12*22=264

what's 198.040 divided by 98.100 and plus 100.000 times 4.300.

Answers

Answer:

868.065

Step-by-step explanation:

198.040 ÷ 98.1 + 100 x 4.3

= 2.0188 + 100 x 4.3

= 201.8756 x 4.3

= 868.065

Steps to solve:

198.040 ÷ 98.1

~Divide

2.0187563... or 2.02

Steps to solve:

100 * 4.3

~Multiply

430

Best of Luck!

4+y when y = 18 would the answer be 22

Answers

Yes you are correct.

You replace y with 18 to get 4+y = 4+18 = 22.

Divide: 21 and 4,291,678

Answers

Answer: assuming you mean divide 4mil by 21, the answer is 204365.619

Step-by-step explanation:

Answer:

4.9x10⁻⁶

Step-by-step explanation:

21 / 4291678 = 4.9x10⁻⁶

What is the solution to this equation?
6x = 36
O A. x = 30
O B. x = 216
C. x = 6
O D. x= 4

Answers

C X=6


36\6= 6 that is why.

Answer:

C

Step-by-step explanation:

6x=36

6x/6 cross out

36/6=6

×=6

so the answer is C

On a number line, point A is at coordinate 1. Point B is at coordinate-5. Find the
coordinate that is the midpoint from A to B.

Answers

Answer:

-2

Step-by-step explanation:

Midpoint is the half of the sum of endpoints

Point A = 1

Point B = - 5

Midpoint :

(1 + (-5))/2 = -4/2 = -2

ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!

Evaluate the expression given the replacement values

Answers

Answer:

8

Step-by-step explanation:

[tex]\frac{2}{5} (1+24) + \frac{1}{2} (2-6)[/tex]=

[tex]\frac{2}{5} (25)+ \frac{1}{2} (-4)[/tex]=

[tex]10-2=8[/tex]

Sam is 4 times as old as Allie. Write an equation to model this situation. a) s=4A b) A=4S c) S= 4+A d) A= 4+S

Answers

Answer:

a) s=4A

Step-by-step explanation:

If you read the equation out loud it may help!

Sam=4 times Allie

Sams age Equals 4 times the age of Allie

Please help me, thank you.

Answers

Answer: 5/9 is ur answer

Step-by-step explanation:

Answer: 5/9

Step-by-step explanation:

5÷9 is 0.555 repeating (which is why there is a line at the top of the 5).

what is the 3rd square root of 1000

Answers

Answer:

10

Step-by-step explanation:

The third square root is the cube root. This means we are looking for the number that multiplies by itself 3 times to get to 1000, which is 10. (10x10x10=1000)

Hope this helped!

Which sets of numbers does -3/4 belong to

Answers

Answer:

It belongs to the... RATIONAL number set

James went on a fishing trip.

Answers

We need more information to solve this.

Find the slope of a line parallel to the line:

5 x plus y equals 15

Answers

Answer:

the answer is y=-5

(10 pts) Light bulbs of a certain type are advertised as having an average lifetime of 800 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised.

Answers

Answer:

We conclude that the true average lifetime is smaller than what is advertised.

Step-by-step explanation:

The complete question is: Light bulbs of a certain type are advertised as having an average lifetime of 800 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 21 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using SPSS, resulting in the accompanying output.  

                         Sample Mean                         Sample Standard Deviation  

Lifetime               738.44                                                   38.30  

Test the appropriate hypothesis for this study (i.e., state the hypotheses, compute the test statistics, compute the p-value, and make a conclusion). What conclusion  would be appropriate for a significance level of 0.05?

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 800 hours.

A potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised.

Let [tex]\mu[/tex] = true average lifetime of the light bulbs.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 800 hours    {means that the true average lifetime is greater than or equal to what is advertised}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 800 hours    {means that the true average lifetime is smaller than what is advertised}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

                               T.S.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~   [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean lifetime = 738.44 hours

             s = sample standard deviation = 38.30 hours

            n = sample of bulbs = 21

So, the test statistics =  [tex]\frac{738.44-800}{\frac{38.30}{\sqrt{21} } }[/tex]  ~  [tex]t_2_0[/tex]

                                     =  -7.36    

The value of t-test statistics is -7.36.

Also, the P-value of test-statistics is given by;

                 P-value = P([tex]t_2_0[/tex] < -7.36) = Less than 0.05% {from t-table}

Since the P-value of our test statistics is less than the level of significance of 0.05, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the true average lifetime is smaller than what is advertised.

driving 85 miles in 5/6 of a hour how many miles per hour

Answers

Hey there! I'm happy to help!

To get 5/6 to 1, you multiply by 6/5. This means that to see your mph, you multiply 85 by 6/5!

85(6/5)=102

The speed is 102 mph.

Have a wonderful day! :D

ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!

Evaluate the expression given the replacement values

Answers

Answer:

207

Step-by-step explanation:

[tex]w^{2}[/tex]=9, but since there is a negative sign, it will be negative 9.

-11(uv) is -11(-8), and that equals 88.

2[tex]v^{2}[/tex] is 2(64), which equals 128.

-9+88+128 is 207.

Hope that helps!

Which type of cell contains Cell Membrane?

Answers

Answer:

Eukaryotic cells contain cell membrane!

Help i dont understand Pls help :( Given g(x)=-4x-2g(x)=−4x−2, find g(-2)g(−2).

Answers

Answer:

[tex]g(-2)=6[/tex]

Step-by-step explanation:

Hi again!

So we have the equation:

[tex]g(x)=-4x-2[/tex]

To find g(-2), substitute -2 for x. Thus:

[tex]g(-2)=-4(-2)-2[/tex]

Multiply. -4 times -2 is positive 8:

[tex]g(-2)=8-2[/tex]

Subtract:

[tex]g(-2)=6[/tex]

And we're done!

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