If K is the midpoint of JL, JK= 8x + 11 and KL = 14x-1, find JL

Answer:

x = 10

Step-by-step explanation:

8 + x =  6

11 + x     7

Cross Multiply

6(11 + x) = 7(8 + x)

66 + 6x = 56 + 7x

10 = x

The number that needs to be added to the numerator and denominator of 8/11 to result in 6/7 is 10.

The subject of the question is Mathematics, specifically algebra and fractions. We can represent the student's problem with an equation, where x stands for the unknown number to be added to the numerator and denominator of 8/11 to get 6/7.

The initial fraction is 8/11 and the desired fraction is 6/7. Hence, we can translate this problem into the equation: (8 + x)/(11 + x) = 6/7. By cross-multiplying to eliminate the fractions, we get: 7(8 + x) = 6(11 + x). Simplified, this equation becomes 56 + 7x = 66 + 6x. Solving for x, we subtract 6x from both sides: x = 66 - 56, so x = 10.

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Answer:

44

Step-by-step explanation:

A=a+b

2h=6+5

2·8=44

Answer: distance traveled since leaving Bay Town; x ≥ 0

Step-by-step explanation: ^^ USATestPrep the answer is D

Answer:

y = 10

Step-by-step explanation:

2x + y = 24

2(7) + y = 24

14 + y = 24

-14        -14

y = 10

Answer:

The Answer is 10

Step-by-step explanation:

2x + y =24

2 * 7 + 10 + 14

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Answer:

d = 0.7*t

Step-by-step explanation:

Given data,

  Time          Distance

   10                 7

   15                10.5

   20                 14

From analysis,

1) d1/t1 = 7/10 = 0.7

2) d2/t2 = 15/20 = 0.7

3) d3/t3 = 14/20 = 0.7

It can be analysed from the figure that, at every point d/t = 0.7

Therefore, the relationship between t and d is

d = 0.7*t

or

t = d/0.7  

Answer:

d=0.7t

Step-by-step explanation:

I just did the question on khan academy.

180-59=121

121+30=151

180-151=29.

C is the answer.

Answer:

1st Option is correct that is we get circle after slicing a right circular cylinder in small pieces.

Step-by-step explanation:

Given: Jamal Sliced aright circular cylinder into congruent pieces.

To find: Shape of Two-Dimensional plane section obtained after slicing.

We get congruent pieces only when we slice the cylinder parallel to its base at equal heights.

By doing this we get small pieces of cylinders of equal height and equal radius.

Base and top remains same that is circular in shape.

Therefore, 1st Option is correct that is we get circle after slicing a right circular cylinder in small pieces.

Final answer:

When a right circular cylinder is sliced into two congruent pieces vertically through its axis, the resulting cross-section is a rectangle. If it is sliced perpendicularly to the axis, the cross-section is a circle.

Explanation:

If Jamal slices a right circular cylinder into two congruent pieces, the two-dimensional plane section that could result from the slice depends on the orientation of the cut. If he slices the cylinder vertically straight through its axis, the resulting cross-section will be a rectangle. If the slice is perpendicular to the axis of the cylinder, the cross-section will be a circle. It is not possible for a pentagon, hexagon, or triangle to result from slicing a right circular cylinder unless the cut is not straight or the surface of the cylinder is modified in some non-standard way, which is not suggested by the question.

The correct answer is B. approximately 250g

Answer:

23/40 is a rational number

Step-by-step explanation:

an irrational number cannot be written as a fraction - with a finite end. An irrational number would be a repeating decimal

In the given question, 23/40 is a rational number.

A rational number is any number that can be expressed as the quotient or fraction of two integers (whole numbers), where the denominator is not zero. Rational numbers include fractions and terminating or repeating decimals, but not irrational numbers like the square root of 2.

A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero. To determine if 23/40 is a rational or irrational number, we need to check if it can be expressed as a ratio of two integers. The numbers 23 and 40 are both integers, and the denominator is not zero, so 23/40 is a rational number.

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Answer: [tex]\bold{y\sqrt[3]{x}}[/tex]

Step-by-step explanation:

[tex]\sqrt[6]{x^2y^6} =x^{\frac{2}{6}}y^{\frac{6}{6}}=x^{\frac{1}{3}}y=\boxed{y\sqrt[3]{x} }[/tex]

It's asking you to find the distance measurement of  ADB

angle 1 or AD = 100 degrees

angle BC or 3 = 30 degrees

Hope this helps!

[tex]8 {s}^{2} - 10st + 3 {t}^{2} \\ = 8 {s}^{2} - 4st - 6st + 3 {t}^{2} \\ = 4s(2s - t) - 3t(2s - t) \\ = (2s - t)(4s - 3t)[/tex]

Answer:

14

Step-by-step explanation:

21 divided by 3 =7   7 per 1/3

7x2=14

Final answer:

Min will fill up 14 gallons of water if he runs his hose, which pumps 21 gallons per hour, for 2/3 of an hour.

Explanation:

If Min's hose can pump 21 gallons of water every hour, and he runs the hose for 2/3 of an hour, you would calculate the total gallons of water filled by multiplying the rate (21 gallons/hour) by the time (2/3 hour).

To find out how much water Min fills up:

Therefore, Min will fill up 14 gallons of water if he runs the hose for 2/3 of an hour.

Answer:

17 acres

Step-by-step explanation:

9 acres + 8 acres = 17 acres, if that wasn't what the question meant please let me know and I'll change the answer or try to help clear confusion.

Median income improves as degree of educational attainment increases. (B)

The answer is B) median income

Answer: The correct answer is 5.

Step-by-step explanation: If 25% of the 20 dogs need a rabies shot the formula to solve the problem is .25 x 20.

.25 x 20 =5

[tex] - 8x + 4 = 2x - 9 - 10x[/tex]

[tex] - 8x - 2x + 10x = - 4 - 9[/tex]

[tex]0 = - 13[/tex]

impossible, so no solutions

Answer:

[tex]f(x)=100(0.50)^{x}[/tex]  or [tex]f(x)=100(1/2)^{x}[/tex]

Step-by-step explanation:

we have

[tex]f(12)=100(0.50)^{12}[/tex]

we know that

f(12) is the value of the function for x=12

therefore

The function f(x) should be

[tex]f(x)=100(0.50)^{x}[/tex]  or [tex]f(x)=100(1/2)^{x}[/tex]

Answer:

D . f(x) = 100(1/2)^x

Step-by-step explanation:

If f(12) = 100(0 .50)¹²

∴ f(x) = 100(1/2)ˣ

Answer:

(B) and (D)

Step-by-step explanation:

A box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.

Also, we know that in a box plot, the center is measured in the form of median and the spread can be measured in the form of Interquartile range which can be calculated by calculating the value of the upper and lower quartiles.

Thus, the best measure to find the center of the data represented in box plot is median and the best measure to find the spread is Interquartile range.

Hence, options B and D  are correct.

The more appropriate measures of center and spread for this data set include the following;

B. Better measure of spread: interquartile range (IQR).

D. Better measure of center: median.

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

Generally speaking, the median is a better measure of center and for this data set, it is equal to 8. Additionally, the more appropriate measure of spread for this data set is the interquartile range (IQR);

Interquartile range (IQR) of data set = third quartile - first quartile

Interquartile range (IQR) of data set = 14 - 6

Interquartile range (IQR) of data set = 8.

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I think c if not sorry have a good day

The approximate distance from the pool to the tennis courts is:

                    C)  3.35 miles

It is given that:

On a coordinate grid, a park is located at (3,0) ande the pool is located at (-3,3).

The tennis courts are the midpoint between the park and the pool.

This means that the distance from the pool to the tennis court is half the distance between the pool and the park.

The distance between pool and park is calculated by using the distance formula as follows:

[tex]Distance\ between\ pool\ and\ park=\sqrt{(3-(-3))^2+(0-3)^2}\\\\Distance\ between\ pool\ and\ park=\sqrt{(3+3)^2+(-3)^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{6^2+3^2}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{36+9}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=\sqrt{45}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=3\sqrt{5}\\\\i.e.\\\\Distance\ between\ pool\ and\ park=6.7082\ units[/tex]

Hence,

[tex]Distance\ from\ pool\ to\ tennis\ court=\dfrac{6.7082}{2}\\\\i.e.\\\\Distance\ from\ pool\ to\ tennis\ court=3.3541\ units[/tex]

Now, it is given that:

   1 unit= 1 mile

Hence, 3.3541 unit=3.3541 miles.

Hence, the answer is: Option: C

Answer:

2.5×2=5

3.5×2=7

RATIO OF 2.5 AND 3.5 IS EQUAL TO 5:7

PLZZ MARK MY ANSWER BRAINIEST

Step-by-step explanation:

Answer:

a =20.48

b = 14.34

Sin(55) = 0.8192

Step-by-step explanation:

Points to remember

Sinθ = Opposite side/Hypotenuse

Cosθ = Adjacent side/Hypotenuse

From the given figure we can see a right angled triangle.

One angle is given 35° and one side = 25

To find the value of a and b

Sin 35 = Opposite side/Hypotenuse = b/25

b = 25 * Sin 35 = 25 * 0.5735 = 14.34

Cos 35 = Adjacent side/Hypotenuse = a/25

a = 25 * Cos 35 = 25 * 0.8192 = 20.48

To find the value of sin 55

Sin(55) = opposite side/Hypotenuse =a/25 = 20.48/25 = 0.8192

Answer:

The quadrilateral is a SQUARE.

Step-by-step explanation:

Given

Four points

A(4,1)  

B(1,5)

C(-3,2)

D(0, -2)

The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.

We will use the two-point distance formula to calculate lengths of sides of quadrilateral.

The distance formula:

d= √((x_2- x_1)^2+(y_2- y_1)^2  )

So, for side AB

AB= √((1- 4)^2+(5- 1)^2  )

= √((-3)^2+(4)^2  )

= √(9+16)

= √25

= 5 units

For BC

BC= √((-3- 1)^2+(2- 5)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

For CD

BC= √((0-(-3))^2+(-2-2)^2  )

= √((0+3)^2+(-4)^2  )

= √(9+16)

= √25

= 5 units

For AD

AD= √((0-4)^2+(-2-1)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

As all the sides are equal

AB=BC=CD=AD

= 5 units

So the quadrilateral is a square.

2 dot.

Answer:

The quadrilateral is a SQUARE.

Step-by-step explanation:

Given

Four points

A(4,1)  

B(1,5)

C(-3,2)

D(0, -2)

The quadrilateral formed will be ABCD with sides AB, BC, CD, AD. In order to prove if a quadrilateral is a square we have to prove that all sides of the quadrilateral are equal.

We will use the two-point distance formula to calculate lengths of sides of quadrilateral.

The distance formula:

d= √((x_2- x_1)^2+(y_2- y_1)^2  )

So, for side AB

AB= √((1- 4)^2+(5- 1)^2  )

= √((-3)^2+(4)^2  )

= √(9+16)

= √25

= 5 units

For BC

BC= √((-3- 1)^2+(2- 5)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

For CD

BC= √((0-(-3))^2+(-2-2)^2  )

= √((0+3)^2+(-4)^2  )

= √(9+16)

= √25

= 5 units

For AD

AD= √((0-4)^2+(-2-1)^2  )

= √((-4)^2+(-3)^2  )

= √(16+9)

= √25

= 5 units

As all the sides are equal

AB=BC=CD=AD

= 5 units

So the quadrilateral is a square.

2 dot.

Step-by-step explanation:

Answer:

1/4 of a red marble

5/4 green marbles

14/4 blue marbles.

Step-by-step explanation:

Make a system of equations.

There are 5 marbles, so r + g + b = 5.

There is 2 more of blue marbles than red + green so b - 2 = r + g

There is 1 less red marble than green marbles so g = r + 1.

Then substitute.

b - 2 = r + r + 1

b = 2r + 3

r + r + 1 + 2r + 3 = 5

4r + 4 = 5

4r = 1

r = 1/4

g = 1/4 + 1

g = 5/4

1/4 + 5/4 + b = 5

6/4 + b = 20/4

b = 14/4

Plug them back into the equation and it checks out.

*Note : I don't know how this would work in real life but it's the answer.

The answer is D because 127° is = p

180-127=p. P=53

180-116=r. R=64

53+64+q=180

117+q=180

Subtract 117 from both sides

Q= 63

The equivalent expressions  of -36x+54y-90 are -18(2x - 3y + 5), 18(-2x + 3y - 5), and -2(18x - 27y + 45). So options (2), (4) and (5) are correct.

To determine which expressions are equivalent to -36x + 54y - 90, we'll distribute the coefficients and compare the resulting expressions.

Let's start by distributing each expression:

1. -9(4x - 6y - 10) = -36x + 54y + 90

2. -18(2x - 3y + 5) = -36x + 54y - 90

3. -6(6x + 9y - 15) = -36x - 54y + 90

4. 18(-2x + 3y - 5) = -36x + 54y - 90

5. -2(18x - 27y + 45) = -36x + 54y - 90

6. 2(-18x + 54y - 90) = -36x + 108y - 180

Among these, expressions 2, 4, and 5 result in the same expression as -36x + 54y - 90.

Expression 2 is -18(2x - 3y + 5), expression 4 is 18(-2x + 3y - 5), and expression 5 is -2(18x - 27y + 45).

Therefore, the equivalent expressions are -18(2x - 3y + 5), 18(-2x + 3y - 5), and -2(18x - 27y + 45).

Answer:

6 bags

Step-by-step explanation:

How I got this answer was by thinking of gcf ( greatest common factor). So first you would divided 18 and 12 by 2 to get 9 and 6 then you divided those to by3 to get 3 and 2 and beacuse you can't go and into 3 equally you will multiply 2 and 3 to get 6

Answer:

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation

Step-by-step explanation:

if a−b=c,then a−b+b=c+b,or a=c+b

Answer:

addition property of equality

Step-by-step explanation:

The first step in evaluating the expression is to perform the division 4 ÷ 4, following the order of operations (PEMDAS).

The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Since there are no parentheses or exponents in this expression, we start with multiplication and division from left to right.

In this case, the first operation to perform is the division: 4 ÷ 4.

After completing the division, we then proceed with addition and subtraction from left to right.

Final answer:

When evaluating an expression like 8 + 6 – 4 ÷ 4 + 2, the first step is to follow the order of operations by performing division and multiplication before addition and subtraction, resulting in a final answer of 12.

Explanation:

The first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2 is to follow the order of operations. This means performing division and multiplication before addition and subtraction.

Divide: 4 ÷ 4 = 1

Multiply: 1 × 2 = 2

Addition and Subtraction: 8 + 6 - 2 = 12

Therefore, the result of the expression 8 + 6 – 4 ÷ 4 + 2 is 12.