KL=9x+3
JL = 55, and
JK = 7x +4,
Find KL.

KL=9x+3JL = 55, AndJK = 7x +4,Find KL.

Answers

Answer 1

Answer:

30

Step-by-step explanation:

JL comprises of JK & KL. So ,

JL = JK + KL

Here the length of :-

KL= 9x + 3

JL = 55

JK = 7x + 4

So putting all the values above gives ,

7x + 4 + 9x + 3 = 55

=> 16x + 7 = 55

=> 16x = 55 - 7

= 48

=> x = 48/16 = 3

Using the value of x in finding the length of KL ,

KL = 9 × 3 + 3 = 27 + 3 = 30


Related Questions

1- What is the fastest growing career in terms of

percent growth? In terms of raw quantity?

2- How many more people are expected to work as mathematicians by 2026?

3- What fraction of the fastest growing careers are in the health & human services industry? Why do you think that's the case?

4- If you were going to choose your future career from this list based solely on your prospects for employment, which of these jobs would you choose? Explainyour thinking

Answers

Answer:

1. Statisticians and operations research analysts.

2. 167,582.3 persons.

3. 40%.

4. Pharmacist

Step-by-step explanation:

1.  According to data from the U.S. Bureau of Labor Statistics,  Statisticians and Operations Research analysts are among the fastest-growing occupations in terms of their percent growth, having high projected growth rates of 33.8 percent and 30.2 percent.

2. People who are expected to work as Mathematicians by 2026 are projected to grow up to 27.9 percent (167,582.3 persons).

3. About 40% of the fastest-growing careers are in the health & human services industry. This is the case because as the human population continues to increase, the need for healthcare providers will increase rapidly.

4. Considering the lower projection of 22% for this career,  it gives better prospects for getting employment due to the limited supply of Pharmacists.

For the toy drive 7 students each collected the same number of toys. They collected 14 toys in all. How many toys did each student collect

Answers

Answer:

They each collected 2.

Step-by-step explanation:

14 toys divided by 7 students equals 2. To check your work, 7 x 2 = 14

5a - 15 = 20 ...……......

Answers

a = 7 is the answer add 15 to both sides than divide by 5
Yup the answer is 20

What is n?
6/5 = n/15

Answers

Answer:

n = 18

Step-by-step explanation:

[tex] \frac{6}{5} = \frac{n}{15} [/tex]

Cross multiply and simplify

[tex]6 \times 15 = 5 \times n \\ 90 = 5n[/tex]

Divide both sides of the equation by 5

[tex] \frac{90}{5} = \frac{5n}{5} [/tex]

Simplify : Cross cancel common factor: 5

[tex]18 = n \\ n = 18[/tex]

Answer:

n=18

Step-by-step explanation:

hope this helps.

plzzz brainliest


10. Paul can run 2 miles in 30 minutes. At this rate, how many miles can he run
in 150 minutes?


Answers

The answer is 5 hope this helps have a good day

Point P(3,1) lies on the directed line segment LM. the endpoints are L(-2,-4) and M(x,y). What are the coordinates of point M such that LP is 4/5 distance from L to M need help

Answers

Answer:

3/5

Step-by-step explanation:

Help help I need help help which one

Answers

The number 25w^9x^6 - 4 is not factorable.

Which graph represents the function f(x) = 4[x]?
y
y
16
16
y
16
16
12
12
12
121
8
8
81
8
40
ای
09
4
2
123
OD
8
o
0

Answers

Answer:

b

Step-by-step explanation:

The graph which represent the function f ( x ) = 4 [ x ] is graph B

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 4 [ x ]

And , function f(x) = 4[x] represents the greatest integer function, which returns the largest integer less than or equal to x

The graph of the greatest integer function consists of horizontal segments, with jumps at the integers. Since the function is multiplied by 4 in this case, the distance between the jumps will be 1/4 of the original distance.

Hence , the graph is Option B

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

Identify the vertex of each.
2) y = 2x² + 24x + 75

Answers

There would be no x intercepts (I think)

And the y intercept would be (0,7)

So the vertex would be (-6,3)

What is the measurement of

Answers

Answer:

tell the full question.

What is the reflection of an object referred to

Answers

Answer:

It's image

Step-by-step explanation:

Refraction of light and particles

Considering you put the topic as “mathematic”. I assume you meant the reflection of a graph. In a graph, there will be an x-axis and a y-axis. A reflection is just the image being reflected upon one of the axis.

Ex. If there is a square, and you were told to reflect it into the y-axis, you would flip it into the other side of the vertical line. Hope this helps!

Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest and part at 12% interest. How much does Paul need to invest in each option to make get a total 11% return on his $20,000?

Answers

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

2/3 ÷ 2^4 + (3/4 + 1/6) ÷ 1/3​

Answers

Answer:

2 19/24 is the simplified answer

Step-by-step explanation:

Hope this helped! :)

Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:

Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:

Cell notation uses the simplest form of each of the equations, and starts with the reaction at the anode. It is necessary to use an inert electrode, such as platinum, because there is no metal present to conduct the electrons from the anode to the cathode. No concentrations were specified so:

The answer is 25/72= 0.347222222

Last week Jerry ran 18 miles less than Tom. Jerry ran 35 miles. How many miles did Tom run?

Answers

Answer: Tom ran 53 miles
Tom ran 53 miles.

Jerry ran 35 (18 less than Tom)
35 + 18 = 53!

What is the distance between (3, 5.25) and (3, –8.75)?

Answers

Answer:

The answer is

14 units

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

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

From the question the points are

(3, 5.25) and (3, –8.75)

The distance between them is

[tex]d = \sqrt{ ({3 - 3})^{2} + ({5.25 + 8.75})^{2} } \\ = \sqrt{ {0}^{2} + {14}^{2} } \\ = \sqrt{196} \: \: \: \: \: \: \: \: \: \: \\ = 14 \: \: \: \: \: \: [/tex]

We have the final answer as

14 units

Hope this helps you

Find the volume of the solid under the plane 3x+2y−z=0 and above the region enclosed by the parabolas y=x^2 and x=y^2.

Answers

The region in the x-y plane is the set of points

[tex]R=\{(x,y)\mid0\le x\le 1,x^2\le y\le\sqrt x\}[/tex]

The height of the solid falls between the x-y plane (for which z = 0) and the equation of the plane, z = 3x + 2y.

So the volume is

[tex]\displaystyle\int_0^1\int_{x^2}^{\sqrt x}\int_0^{3x+2y}\mathrm dz\,\mathrm dy\,\mathrm dx[/tex]

[tex]=\displaystyle\int_0^1\int_{x^2}^{\sqrt x}(3x+2y)\mathrm dy\,\mathrm dx[/tex]

[tex]=\displaystyle\int_0^1(3x^{3/2}+x-3x^3-x^4)\,\mathrm dx[/tex]

[tex]=\displaystyle\frac65+\frac12-\frac34-\frac15=\boxed{\dfrac34}[/tex]

Find the equation of the line that passes through the point (5, -4) and is perpendicular to the line y=1/4x - 2 .

Answers

Answer:

The equation of the line is:

[tex]y = -4\,x +16[/tex]

Step-by-step explanation:

A line perpendicular to the given one is going to have a slope equal to the opposite of the reciprocal of 1/4. That is the slope of the new line will be "-4".

Now we write the point-slope form for a line using the info provided of slope -4 and point (5, -4):

[tex]y-y_0=m\,(x-x_0)\\y - (-4) = -4 \,(x-5)\\y+4 = -4\,x +20\\y = -4\,x +16[/tex]

Answer:

y = -4x + 16

Step-by-step explanation:

For questions like this, I would first find the slope of the line that we are trying to find the equation for. To do this, I would use the line y = 1/4x - 2 and find the slope of a line that would be perpendicular to it. Taking the negative reciprocal of the slope of y = 1/4x - 2 will do just that.

By looking at the equation y = 1/4x - 2, we can see that the slope of the line is 1/4. The negative reciprocal of 1/4 would be -4, which would be the slope of the line whose equation we are trying to find.

Since we have a point on the line, and we now have the slope of the line, we can now make an equation for the line in point-slope form:

y + 4 = -4(x - 5)

Now while this is an equation for the line, lets try to get it into slope-intercept form:

y + 4 = -4(x - 5)

Distribute the -4 on the right side of the equation.

y + 4 = -4x + 20

Subtract 4 from both sides.

y = -4x + 16

And now we have the equation of the line in slope-intercept form.

I hope you find my answer helpful.

Translate and solve: 783% of what number is 47,763?

Answers

Answer:

6,100

Step-by-step explanation:

7.83n= 47,763

Now, we can solve for n by dividing both sides by 7.83 and simplifying.

n=6100

Sarah has two job offers: Nike will pay her $12 per hour and chick-fil-a will pay her $8 per hour. If she works 13 hours at Nike and 16 hours at chick-fil-a at which job would she earn more money?

Answers

Nike will pay her more money

Owen's parents were planning a big birthday party for him.

They spent $150 to rent a bounce house for 8 hours. How much is the hourly rate for the rental?

Answers

Answer:

18.75/ hour

Step-by-step explanation:

Simply divide 150 by 8.

Tina's Beauty Salon charges $10 per haircut. If the salon has 52 visitors seeking haircuts per day, estimate
how much Tina would make in 5 days by rounding the number of visitors to the nearest ten.
Group of answer choices

$50

$2500

$500

$250

Answers

Answer:

2500

Step-by-step explanation:

$10 times 52 is $520 a day so multiply 520 times 5 and you get $2600 so round that and it is $2500

Convert 6 1/4 into an improper fraction

Answers

Answer:

25 over 4

Step-by-step explanation:

Improper fraction for the given mixed fraction is

[tex]\frac{25}{4}[/tex]

Given :

We are given with mixed fraction .

Convert the mixed fraction into an improper fraction

Given mixed fraction is [tex]6 \frac{1}{4}[/tex]

To convert it in to improper fraction , multiply the whole number 6 by the denominator 4  and then add the numerator .

[tex]6 \frac{1}{4} \\ \frac{6 \cdot 4 +1}{4} \\ \frac{25}{4} \\[/tex]

The improper fraction for the given mixed fraction is

[tex]\frac{25}{4}[/tex]

Learn more : brainly.com/question/17655079

Find the midpoint of the line segment with endpoints ( 5, 2 ) and ( -4, -3 )

Answers

Answer:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

Step-by-step explanation:


Drag the tiles to the table. The tiles can be used more than once, but not all tiles will be used.
On John's flight to New York City, the plane flies 740 miles with a tailwind, which increases its speed. On the flight back
home, the plane travels against the same wind, which decreases its speed. Assume the airplane cruises at a speed of
495 miles/hour without any wind. Let x represent the wind speed. Use this information to complete the table.
Distance
Rate
Time
Flight to NYC
Flight Home
740
495 + x
495 - X
740
740
х
495 + x
495 - X
495 +
740
495 - X
740

Answers

Answer: flight to NYC

distance: 740 rate: 495+x time: 740/495+x

flight home:

distance: 740 rate: 495-x time: 740/495-x

Step-by-step explanation: the plane is flying with the wind when flying to NYC so the planes speed, or rate, can be modeled as 495+x

on the flight back home plane is flying against the wind so the planes speed, or rate, can be modeled as 495-x

multiply across the table to find the time each journey will take by using the equation time=distance/rate. Hope this helped :)

I'm sure this is it I got it right on mine

Answers

Answer: what are you talking about????????

Step-by-step explanation:

A patient's temperature was recorded at 9 a.m., 11 a.m., 4 p.m. and 6 p.m. The first, second, and fourth readings were 112° F, 68° F and 85° F, respectively. If the average of the four readings was 84.75° F,
what was the third reading?

Answers

Answer:

74°F

Step-by-step explanation:

In order to find the average of a certain amount of numbers, you add those numbers together and divide by how many numbers there are. In this case, you would reverse that method to find the last number. We know that there were four readings, and we have three of them and the average. Multiply the average (84.75) by the number of readings (4), and you get the sum of all the readings (339). Then you subtract each of the readings that you already know to isolate the last reading. 339 - 112 (first reading) = 227, 227 - 68 (second reading) = 159, and 159 - 85 (fourth reading) = 74. Therefore, the third reading must be 74.

The expression 36 ÷ 6 • 2 + 1 is equal to _____.

2
4
13
18

Answers

Answer:

Step-by-step explanation:

36/6 · 2 + 1

6 ·2 + 1

12 + 1 = 13

answer is 13

Answer:13

Step-by-step explanation:

36 ÷ 6 • 2 + 1 Start with division then go to multiply, then go to add

(4z+3)+(4z+3)+(4z+3)+(4z+3) solve pls or simplify

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16z + 12}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(4z + 3) + (4z + 3) + (4z + 3) + (4z + 3)}[/tex]

Remove the unnecessary parentheses

[tex] \sf{4z + 3 + 4z + 3 + 4z + 3 + 4z + 3}[/tex]

Collect like terms

Only the coefficients of like terms can be added or subtracted

[tex] \sf{4z + 4z + 4z + 4z + 3 + 3 + 3 + 3}[/tex]

[tex] \sf{16z + 3 + 3 + 3 + 3}[/tex]

Add the numbers

[tex] \sf{16z + 12}[/tex]

Hope I helped!

Best regards! :D

6) Order the fractions and decimals from least to greatest 0.75, 1/2, 04, 1/5

Answers

Answer:

Order from least to greatest: 1/5, 0.75, 1/2, 04.

Explanation:

1/5 is the least because 0.75 is equivalent to 1/4 and 1/2 is greater than both of those. 04 is a whole number because the 0 doesn't matter if there's no decimal point, which there isn't. So take away the 0 and you get the whole number 4! Hope this helped :)

?????????????????????????????????????????????????????????????????/

Answers

i am 90% sure it is 10
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