Mathematics College

L is the midpoint of KM. If KL = 14x and KM = 26x + 14, what is KL? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please type the answer step by step.

Answers

Answer 1

Answer:

Step-by-step explanation:

L is the midpoint of KM. So, length of KL = length of LM

KL = LM = 14x

KL + LM = KM

14x + 14x = 26x + 14 {add the like terms}

28x = 26x + 14 {subtract 26x form both sides}

28x - 26x = 14

2x = 14 {divide both side by 2}

2x/2 = 14/2

x = 7

KL = 14x = 14*7

KL = 98

Related Questions

11(k-1) 7(k-y) help fast ASAP IM STUCK PLESEE ALSO NEED TO SHOW WORK

Answers

Answer:

y=-[tex]\frac{4k-11}{7}[/tex]

k=-[tex]\frac{7y}{4}[/tex]+[tex]\frac{11}{4}[/tex]

7900 dollars is placed in an account with an annual interest rate of 5.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 34300
dollars?

Answers

Answer:

x=28.7

Step-by-step explanation:

I just answered the question.

8. A pizza shop charges $7.00 for a cheese pizza and $1.50 per topping. The total charge for Megan's pizza was $11.50. Write and solve on equation to determine how many toppings Megan ordered on her pizza. Variable: Equation: Solution:

Answers

Answer:

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

Step-by-step explanation:

Let the number of topping be x.

Cost of 1 topping = $1.50

Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x

Cost of cheese pizza = $7.00

Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping

Total cost for cheese pizza for x topping = 7 + 1.5x

Given that The total charge for Megan's pizza was $11.50

thus,

7 + 1.5x = 11.50

1.5x = 11.50 - 7

1.5x = 4.5

x = 4.5/1.5 = 3

Thus, there were three toppings

______________________________________

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

Laundry detergent comes in 2 sizes. Box A is $7.62 for 2.5 Litres, Box B is
$5.74 for 1.5 Litres. Which is the better deal and by how much?

Answers

Answer:

$7.25 = 2.5, so divide by 7.25 by 5 = 1.45 <- better deal & $0.46333333333 per litre.

5.74 = 1.5, so divide 5.74 by 3 = 1.91333333333

Step-by-step explanation:

Why 3 and 5 - 0.5 is 5 times 2.5 and so is 0.5 times 3= 1.5

1.91333333333 - 1.45 = $0.46333333333 per litre.

The hole for a footing needs to be 8 ft deep. If it is currently 1 ft 5 inch deep how much deeper does it need to be dug? Give the answer in inches

Answers

it’s needs to be 79 inches deeper

(5^3)(5^2)(5^4)(5^7)
Answer choices
625^16
5^168
625^168
5^16

Answers

Answer: 5^16

Multiply the terms with the same base by adding their exponents
5^3+2+4+7

Calculate the sum of the positive numbers
and you get 5^16

Hope this helps ʕ•ᴥ•ʔ

From the drawing above, Bryan discovered that his area was 2 less than
Jon's area. What is the reasonable value of x?

Answers

Answer:

Step-by-step explanation:

A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?

Answers

Answer: 0.04

Step-by-step explanation:

Number of trips (n) = 40

Red = 30 seconds, Green = 30 seconds

P(red) = p(green) = 30/ (30+30) = 0.5

P(not red) = p(not green) = 1 - 0.5 = 0.5

P(x) = nCx * p^x * (1-p)^(n-x)

n = number of trials

x = number of outcome desired

P = probability of success of desired outcome

P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)

Hence, to save computation time, we use the binomial distribution probability calculator :

P(X > 25) = 0.04

A cylinder has a volume of 320x cubic inches and a height of 5 inches.
What is the radius of the cylinder?

Answers

Answer: 8 inches

Step-by-step explanation:

320π in³= π (r²) (5 in)

64 in² = r²

r = 8 in

State the size of angle OAB, giving a reason for your answer

Answers

Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.

Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

Therefore, angle OAB = 90°

Why is (-5) to the 28th power positive but without parentheses it is negative?

Answers

Answer:= (10+5^2)*((5*-2)+9-3^3)/2

= (10+25)*((5*-2)+9-3^3)/2

= (35)*((5*-2)+9-3^3)/2

= 35*((5*-2)+9-3^3)/2

= 35*((-10)+9-3^3)/2

= 35*(-10+9-3^3)/2

= 35*(-10+9-27)/2

= 35*(-1-27)/2

= 35*(-28)/2

= 35*-28/2

= -980/2

= -490

Step-by-step explanation:

3193.55767741 round to the nearest thousand

Answers

Answer:

3000

Step-by-step explanation:

Rounding to the nearest thousand implies not writing any significant figure after the digit located in the column of the thousand. In this case, what you have in that column is the number 3 (which is followed by a 1 in the column of the hundreds) so you need to round the number to 3000.

If the number that followed the 3 was 5 or larger, you would have rounded it to 4000.

Answer:

3,000

Step-by-step explanation:

The answer is 3,000 because:

1) The number in the hundreds place is 1, which is less than 5. Therefore, the number in the thousands place stays the same.

2) Whenever you are rounding with decimals, you have to leave the numbers after the decimal point.

Hope this helps!

Reply back please! Scientific Notation

Answers

Answer:

Sorry didnt realize it didnt post

2.) 1.16 x 10^-1

4.) 9.006 x 10^-9

6.) 3.68 x 10^3

8.) 6.92810457 × 10^-3

Step-by-step explanation:

h(x) = x - 2
g(x) = 4x - 3
Find (h. g)(x)

Answers

X=1/3

Brainliest? Pls

Solve 5x + 2 = 3x -8

Answers

Step-by-step explanation:

5x-3x=-8-2

2x=-10

x=-10/2

x=-5

Answer: x=-5

Step-by-step explanation:

Given

5x + 2=3x -8

Subtract 2 on both sides

5x + 2 - 2=3x - 8 - 2

5x=3x-10

Subtract 3x on both sides

5x - 3x=3x - 10 -3x

2x=-10

Divide 2 on both sides

2x / 2=-10 / 2

x=-5

Josh works as a tutor for 11$ an hour and a waiter for 15$ an hour. This month he worked 106 hours. What expression solves this?

Answers

Answer: -4t + 1590

Step-by-step explanation:

Given : Josh works as a tutor for $11 an hour and as a waiter for $15 an hour.

This month, he worked a combined total of 106 hours at his two jobs.

Let t be the number of hours Josh worked as a tutor this month.

Then, the number of hours Josh worked as a waiter = 106 -t

Then, the total money earned this month ( in dollars)

= 11 (No. of hours worked as a tutor)+ 15 (No. of hours worked as a waiter)

=11(t) + 15(106-t)

= 11t+1590-15t

= -4t+1590

Hence, the expression for the combined total dollar amount he earned this month =

The algebraic expression to this problem is 11x + 15y = 106

What is algebraic expression?

Algebraic expressions have variables, numbers, and operations. A variable is a letter that represents an unknown amount.

Let number of hours Josh worked as a tutor be x hour.

Let number of hours Josh worked as a waiter be y hours.

The equation becomes -

11x + 15y = 106

Learn more about algebraic expression here

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which equation represents a line that passes through (2,-1/2) and has a slope of 3

plzzz help me

Answers

Answer:

Step-by-step explanation:

The slope-point formula is y-y₁=m(x-x₁). So if you plug in your information you get C.

5) Which of the following expressions has
the greatest value?
A-
2-3
B-2-(-3)
C2-(-3)

Answers

the answer would be c !
A= -5
B= 1
C= 5

An error has been made in subtracting the two polynomials shown in the work below the problem is (6x^2-4x-5)-(3x^2-7x=2)

Answers

Answer/Step-by-step explanation:

Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.

6x² - 4x - 5

- 3x² - 7x + 2

= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]

= 3x² + 3x - 7

The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.

The sign is very important, it defines the value of the term.

We can choose to solve the problem in another way shown below:

(6x² - 4x - 5) - (3x² - 7x + 2)

Distributive the negative sign in the second polynomial

6x² - 4x - 5 - 3x² + 7x - 2

Combine like terms

6x² - 3x² - 4x + 7x - 5 - 2

3x² + 3x - 7

The point (3,65) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph?

Answers

Answer:

Step-by-step explanation:

ohhh

Answer:

A B and E all fall on the line expressed.

use the Per-Pupil Expenditure column to compare how much each state spends on average for each student. Total expenditure for the state can be misleading. A state with a high number of students could have a high overall expenditure, even if it doesn't spend very much on each student. I'm more concerned about how much the state is likely to spend on each of my children, not how much they spend overall.

Step-by-step explanation:

Answer:

I'd use the Per-Pupil Expenditure column to compare how much each state spends on average for each student. Total expenditure for the state can be misleading. A state with a high number of students could have a high overall expenditure, even if it doesn't spend very much on each student. I'm more concerned about how much the state is likely to spend on each of my children, not how much they spend overall.

-PLATO

{x|x is a living U.S. president born after 1700}

Answers

Answer: I HOPE IT HELPS

was the tenth president of the United States ... President Harrison died just one month after taking office, and Tyler became the ... John Tyler was born on March 29, 1790; like his future running mate, William ... Tyler was of frail health, thin and prone to diarrhea throughout life.

Step-by-step explanation:

Which graphs display a directly proportional relationship? Check all that apply.

Answers

Answer:

A, C, and D

Could you please give me Brainliest?

Answer:

answers are a c d

Step-by-step explanation:

look at the lines that' how you find your answer

Which of the following quadrilaterals contains opposite angles that are congruent? Select all that apply.

trapezoid
isosceles trapezoid
parallelogram
rhombus
rectangle
square

Answers

The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square. The correct options are C, D, E, and F.

What are Quadrilaterals?

Quadrilaterals are polygons with four sides, four vertices, and four angles.

The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square.

The opposite sides and opposite angles are equal in a parallelogram.

All sides are equal and opposite angles are equal in a Rhombus.

Opposite sides are parallel and equal, and all angles measure 90 degrees in a Rectangle.

All sides and angles are equal in a square.

Therefore, The correct options are C, D, E, and F.

To know more about Quadrilaterals

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