Point K is on line segment JL. Given JK = 5x + 7, JL = 2x+8, and KL = 4,

determine the numerical length of JL.

Answers

Answer 1

Answer:

The numerical length of JL is 6 units

Step-by-step explanation:

Here, we want to determine the numerical length of JL

Mathematically;

JL = JK + KL

2x + 8 = 5x + 7 + 4

2x + 8 = 5x + 11

5x -2x = 8-11

3x = -3

x = -1

But JL = 2x + 8

JL = 2(-1) + 8 = -2 + 8 = 6


Related Questions

Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?

Answers

Answer:

You will earn $15.75, $13.50, or $18 depending on how you are getting paid

Step-by-step explanation:

If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75

If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.

If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total

Sofia owes her brother $25. She gives her brother the $18 she earned dog-sitting. Write an addition expression to describe this situation. Then find the sum and explain its meaning.

Answers

Answer:

She owes her brother $7.

Step-by-step explanation:

Subtract $18 made from dogsitting from the total (which is $25).

addition expression : $18 + x =$25

                      check :  $25 - $18 = $7

$7 is what she needs to finish paying back.  

A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of the shoes?

Answers

Answer:

The answer would be $91.

Step-by-step explanation:

20% off of 120 is 96 and 96 - 5 is 91.

Answer:

$91

Step-by-step explanation:

To find 20% off of  $120 set it up as a fraction.

We are trying to find x.

x/120 = 20/100

Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.

2400/100x

Simplify that to find how much you need to subtract from $120 when the discount is added.  2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.

Please help !!!!!!!!!!!!!

Answers

Answer:

with what part of the question be more specific

Simplify :
............ ​

Answers

Answer:

?sjsjssnsk.aia.

iwkq.qnw w.1kp1p1la

ama zz

anmpq0qq

A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec^2. What is the mass of the object?

Answers

Answer:  50 kg

======================================================

Work Shown:

F = ma

250 = m*5

250/5 = m

50 = m

m = 50

The mass of the object is 50 kg

Multiply. (2x + 5) (3x2 + 5x + 1) A. 5x3 + 15x2 + 27x + 5 B. 6x3 + 15x2 + 27x + 6 C. 6x3 + 25x2 + 27x + 5 D. 6x3 + 25x2 + 23x + 5​

Answers

Answer: 6x3+25x2+27x+5

Step-by-step explanation: =(2x+5)(3x2+5x+1)

=(2x)(3x2)+(2x)(5x)+(2x)(1)+(5)(3x2)+(5)(5x)+(5)(1)

=6x3+10x2+2x+15x2+25x+5

A cable company charges $95 for installation plus $45 per month. If you paid $455 over a period of time, how many months did you use that cable company?

Answers

Answer: 8 months

Step-by-step explanation:

m= number of months

45m+95=455

minus 95 over

45m=360

divide by 45

m=8

What is the slope of the line that passes through (-5,4) and (-1,8)

Answers

Answer:

1

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( 8-4)/( -1 --5)

   = 4/( -1+5)

   = 4/4

   =1

You need the slope, so start with the slope formula.

slope = y₂ - y₁ / x₂ - x₁

Substitute (-5, 4) for (x₁, y₁) and (-1, 8) for (x₂, y₂).

So we have 8 - 4 / -1 - -5.

Simplify to find the answer.

So we have 4/4 which is 1.

Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)

Answers

Answer:

The answer is

[tex](4 \: , \: - 6)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,−2) and (1,−10)

The midpoint is

[tex]M = ( \frac{7 + 1}{2} , \: \frac{ - 2 - 10}{2} ) \\ = ( \frac{8}{2} , \: - \frac{12}{2} )[/tex]

We have the final answer as

[tex](4 \: , \: - 6)[/tex]

Hope this helps you

What is 39,040,000 expressed in scientific notation

Answers

The scientific notation answer is 3.904 x 10^7

Answer:

39.04 x 10 to the power of 7

Step-by-step explanation:

probably wrong but ok :)

Which statement is false?

Answers

I believe that your answer is C. Not ALL rational numbers are integers.

Hurry plzzzzzz !!!!!!!

Answers

The answer is 6 because 5(3) = 15 and 3^2 = 9 and 15-9 =6
3(5) - 3^2
15-9
6
The answer is 6

You buy one shirt for $22 and two pairs of shorts. Your total cost is $56. Assuming both pairs of shorts cost the same amount, what is the price of one pair of shorts? What is the correct equation and solution for this problem? A. 2 x - $22 = $56; x = $34 B. 2 x + $22 = $56; x = $34 C. 2 x + $22 = $56; x = $17 D. 2 x - $22 = $56; x = $17

Answers

Answer:

B. 2x + $22 = $56 ; x = $17

Step-by-step explanation:

Assuming a pair of short is accounted for by the variable x.

Your total cost is $56. This means that your expression will equal 56:

________________ = 56

Next, you buy 1 shirt (denoted by s) for $22.

s = $22

You buy 2 pairs of pants. The cost is not given, so it can vary. Give it a variable. The answers denote it as x. As you are buying two pairs of pants, multiply 2 with x:

2 * x = 2x.

Combine the terms and plug it into the equation:

2x + 22 = 56

Next, solve for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Remember,  PEMDAS is the order of operation, &

PEMDAS =

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction

First subtract 22 from both sides:

2x + 22 (-22) = 56 (-22)

2x = 56 - 22

2x = 34

Next, divide 2 from both sides:

(2x)/2 = (34)/2

x = 34/2

x = $17

B. 2x + $22 = $56 ; x = $17 is your answer.

~

Answer:

B. 2x + $22 = $56 ; x = $17

Step-by-step explanation:

Two cars, which are 210 miles apart, drive towards
each other at constant speeds. The speed of the
second car is 20 miles per hour faster than the first car.The cars pass each other in 1 1/2 hours. What is the speed of both cars?

Answers

Answer:

slower car=60 miles/hr

faster car =80 miles/hr

Step-by-step explanation:

the speed of slower car =x

the speed of faster car=x+20

they both 210 miles apart

(x+x+20)*(1 1/2 )=210

(2x+20)(3/2)=210

3x+30=210

3x=210-30

3x=180

x=180/3 ⇒ x=60

x+20 ⇒ 60+20=80

Question 5 (1 point)
The mallard duck walks 9,500 ft per year. How many inches is that per day?

Answers

Answer:

LOL, change ft to inches and then divide by 365

Answer:

312.3 Inches/Day

Step-by-step explanation:

I did it on a test and also 9,500 divided by 365 (year) times 12 (12 inches in one foot)=312.3

As you can see in the photo below I chose 312.3


19. A concert vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats
were $28. The vendor sold $6080 in tickets. How many floor seats and stadium seats did the vendor sell?
Set up a system of equations and solve. Let f = the number of floor seats sold and S= number of stadium
seats sold.

Answers

Answer:

36F + 28S= 6080

Step-by-step explanation:

36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.

A corporation reported profit of approximately $1500 million with approximately $24,300 million in revenues. Compare the profit to revenue by writing as a fraction in the lowest terms

Answers

Answer:

[tex]\frac{5}{81}[/tex]

Step-by-step explanation:

Given:

Profit = $1500 million

Revenue = $24,300 million

Profit to Revenue = [tex]\frac{1500 million}{24,300 million}[/tex]       [Since they both have same unit ($), this sign can be omitted]

Now let's reduce the ratio above to its lowest terms...

[tex]\frac{1500 million}{24,300 million}[/tex]

[First, the millions at the numerator and denominator cancel out]

[tex]\frac{1500}{24,300}[/tex]  

[Next, the two zeros at the numerator and denominator cancel out]

[tex]\frac{15}{243}[/tex]

[Next, divide both the numerator and denominator by 3]

[tex]\frac{5}{81}[/tex]

Since no further division can be done, then the profit to revenue is in its lowest terms as [tex]\frac{5}{81}[/tex]

Which sentence is correct? A. B. C. D.

Answers

Answer:

what do you mean what sentence is correct give a picture

Answer:a

Step-by-step explanation:

Determining a value of an expression

Answers

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

I think.

Which of the following is a statistical question
A. How many times did you buy school lunch last week?

B. How many days were in last montha

C. Is your favorite number between 0 and 102

D. What is the area of a l-inch x l-inch sticky note​

Answers

Answer:

its d because who askes that question

Kamal and Anand each Lent the same sum of money for 2 years at 5 percent at simple interest and compound interest respectively. Anand received RS.15 more than Kamal.Find the amount of money lent by each and interest received

Answers

Answer:

amount lent: ₹6000interest received: Kamal, ₹600; Anand, ₹615.

Step-by-step explanation:

For principal P invested at simple interest rate r, the returned value in t years is ...

  A = P(1 +rt)

If K is Kamal's returned value, the given numbers tell us ...

  K = P(1 +0.05·2) = 1.1P

__

For principal P invested at compound interest rate r, with interest compounded annually for t years, the returned value is ...

  A = P(1 +r)^t

If A is Anand's returned value, the given numbers tell us ...

  A = P(1.05)² = 1.1025P

This latter amount is RS.15 more than the former one, so we have ...

  1.1025P = 1.1P +15

  0.0025P = 15 . . . . . . . . subtract 1.1P

  P = 6000 . . . . . . . . . . . divide by 0.0025 . . . .  the amount lent

Kamal received 1.1P -P = 0.1P = 600 on the investment.

Each lent ₹6000. Kamal received ₹600 in interest; Anand received ₹615 in interest.

What’s the answer ?

Answers

Answer:

24

Step-by-step explanation:

At the start of summer Ben has $250. He takes summer job
and saves $ 150 per week. Tim has $ 1,650 at the start of
summer, he travels and spends $ 200 per week. At the end of
which week do Ben and Tim have the same amount of money ?

Answers

Answer:

week 4

Step-by-step explanation:

With Ben saving up $150 every week, he'll have $850 by week 4 because, $150 times 4 is $600, plus the $250 that he started with equals $850. Tim will also have $850 by week 4 because $200 times 4 equals $800. $800 minus the $1650 that he started off with equals $850.

Which fraction is equivalent to a repeating decimal? A)3/11 B)3/4 C) 3/8 D) 3/5

Answers

Answer:

3/11.

Step-by-step explanation:

3/11 = 0.2727272727....

Plz help me Much appreciated.

Answers

Slope is -12 and the form is y=Mx+b

GEOMERTY QUESTIONS!!!!!!!!!

Answers

Answer: The answer to the first question is C. The answer to the second question is A.

the first one is C and the second is A

Find the two missing numbers shown with an "*" in the equation.

5 3/* × * 1/2 = 19
^^both mixed fraction^^

Answers

I hope its helps
Its has to be more what I’m writing here so I’m writing

Drew scores 90 points in 6 games. How many points per game does Drew score?

Answers

Answer:

15

Step-by-step explanation:

90 points in 6 games

90/6 = points in one game

= 15 points in one game

Answer:

15 points per game

Step-by-step explanation:

You need to divide the full amount of points (90) by the amount of games played (6) to get the amount of points per game.

90÷6=15

So 15 is the answer

write in standard form y=-3x+4 through (0,-1)

Answers

Y= -3x +4
So from the equation we can tell that m is 3 .

(0,-1)
(x, y)

0 = x
-1 = y

M = 3

Y = mx+ c
Just insert it
-1 = 3(0) + c
-1 = c

So thts mean the answe is y = 3x-1
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