if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.

Answer:

4 + x²

Step-by-step explanation:

Given problem:

    4 more then a number squared

Problem:

  Give the expression form;

Solution:

  Let the number x;

So;

   4 more than x squared:

          4 + x²

Answer:

Division property of equality

Step-by-step explanation:

Consider the equation and its solution. 8 (x minus 2) = 64.

8 x minus 16 = 64.

8 x = 80.

x = 10.

Which property is used in the last step to find that x = 10

The property used in the last step to find that x = 10 is called the DIVISION PROPERTY OF EQUALITY

The Division property of equality states that , when two sides of a quadratic equation are divide by the same integer that is greater than zero, both sides will be equal to one another

Let c be the integer greater than zero

ac = bc

Divide both sides by c

a = b

From the above question

8 x = 80

This is also written as:

8x = 8 × 10

Division property of equality

Divide both sides by 8

Hence,

x = 10

Answer:

division property of equality

Step-by-step explanation:

since the equation before our answer was a multiplication equation, you must counteract that with the division property of equality.

Answer:

x=0

Step-by-step explanation:

The equation of the y axis corresponds to the equation of every point that lies and constitute the y-axis. As the horizontal distance from every point lying on the y-axis with the main y-axis remains 0, hence, its abscica (x-coordinate) also will be zero.

Hence, x=0

Answer:

There were 69 students in advanced math and 184 students in regular math before the placement tests

Step-by-step explanation:

The correct question

At the beginning of 6th grade, the ratio of the number of advanced math students to the number of regular math  students was 3:8. However, after taking placement tests, students were moved around changing the ratio of the  number of advanced math students to the number of regular math students to 4:7. How many students started in  regular math and advanced math if there were 92 students in advanced math after the placement tests?

Let

x ----> the number of advanced math students

y ----> the number of regular math students

we know that

At the beginning of grade 6

----> equation A

After taking placement tests

----> equation B

----> equation C

Remember that

The total number of students at the beginning of grade 6 is the same that the number of students after taking placement tests

step 1

Find out the total number of students  after taking placement tests

we have

----> equation B

----> equation C

substitute the value of x in equation B and solve for y

The total number of students  after taking placement tests is

step 2

Find out how many students started in  regular math and advanced math

we have that

At the beginning of grade 6

----> equation A

-----> equation  D

Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (69,184)

see the attached figure

therefore

There were 69 students in advanced math and 184 students in regular math before the placement tests

Answer:

:o

Step-by-step explanation:

Answer:

105.37

Step-by-step explanation:

Answer:

-4599

Step-by-step explanation:

x-(x(x-y)^3) , x=9, y=1

=9-(9(9-1)^3)

=9-(9(8)^3)

=9-(9*512)

=9-4608

= -4599

Answer:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Step-by-step explanation:

Given that:

4 papers are delivered by first person in one minute.

Rate of delivering one paper

or

Time taken to deliver one paper can be calculated by the formula:

[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]

Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]

3 papers are delivered by second person in one minute.

Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]

Total number of papers = 75

Number of papers delivered by first person = [tex]n[/tex]

So, number of papers delivered by second person = ([tex]75-n[/tex])

Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper

Time taken by first person = [tex]n\times \frac{1}{4}[/tex]

Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]

So, Total time taken can be written as:

[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]

Answer:

-8.72811548...   i think

Step-by-step explanation:

a² + b² = c²

8.3² + 2.7² = c²

68.89 + 7.29 = c²

76.18 = c²

√76.18, -√76.18 = c

c = 8.72811548…, −8.72811548…

I think because it's depression, it's -8.72811548...

Answer:

The Ans Is 2:3

Step-by-step explanation:

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

y= 2x +2 -----(2)

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

Answer:

Step-by-step explanation:

ON THE FIRST DAY, SHELLY RODE 12 MILES

Answer:

The probability that Ivan will have 3 novels to read during the road trip is 0.0455

Step-by-step explanation:

Given;

number of novels = 5

number of short stories = 7

total  number of books = 12

The probability that Ivan's friend pick's a novel = 5 / 12

The probability of Ivan's first pick to be a novel = 4 / 11

The probability of Ivan's second pick to be a novel = 3 /10

The probability that Ivan will have 3 novels to read during the road trip is given by;

= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);

[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]

Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455

Answer:

C. 24 inches by 15 inches

Step-by-step explanation:

Given

[tex]Rectangle: 8\ by\ 5\ inches[/tex]

Required

Determine the scale copies

To do this, we calculate the ratio.

[tex]Ratio = \frac{Actual}{Measured}[/tex]

Analyzing A.

Sides: 1.4 by 2.5 inches

We start by calculating ratio of each sides;

Length:

[tex]Ratio =\frac{8}{1.4}[/tex]

[tex]Ratio = \frac{40}{7}[/tex]

Width:

[tex]Ratio = \frac{5}{2.5}[/tex]

[tex]Ratio = 2[/tex]

Analyzing B.

Sides: 15 inches by 10 inches

Length

[tex]Ratio = \frac{8}{15}[/tex]

Width:

[tex]Ratio = \frac{5}{10}[/tex]

[tex]Ratio = \frac{1}{2}[/tex]

Both ratios are not equal

Analyzing C.

24 inches by 15 inches

Length

[tex]Ratio = \frac{8}{24}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Width:

[tex]Ratio = \frac{5}{15}[/tex]

[tex]Ratio = \frac{1}{3}[/tex]

Both ratios are equal

Analyzing D.

Sides: 9 inches by 6 inches

Length

[tex]Ratio = \frac{8}{9}[/tex]

Width

[tex]Ratio = \frac{5}{6}[/tex]

Both ratios are not equal

Option C answers the question because both ratio are equal

Answer:

3

Step-by-step explanation:

M is the midpoint of AB. That means that 2 binomials are equal.

4n - 40 = 7* (-2n + 2)                Remove the brackets

4n - 40 = - 14n + 14                   Add 14n to both sides

4n+14n - 40 = -14n+14n + 14     Combine

18n - 40 = 14                             Add 40 to both sides

18n = 14 + 40                           Combine

18n = 54                                   Divide by 18

18n/18 = 54/18                          Combine

n = 3

Answer:

0.000055

Step-by-step explanation:

Given that:

Percentage of free ice cream Given last year = 3.8%

From a total population of 1 ; proportion of those who received free ice cream = 3.8/100 = 0.038

Hence,

Probability of selecting a customer who received free Ice cream = 0.038

Hence, if 3 people are picked randomly from last year who received free ice cream:

(0.038 * 0.038 * 0.038) = 0.000054872

= 0.000055 ( to 6 decimal places)

Answer:

880,000

Step-by-step explanation:

Move the decimal in 8.8 five places to the right.

Answer:

1. n=11 2. n=5 3. n=15 4. n=4 5. n=4 6. n=27

Step-by-step explanation:

1. Subtract 2 from 13 to get your answer of 11

2. Divide 15 by 3 to get your answer of 5

3. Multiply both sides by 3 to cancel out the division of 3 and you'll get 30, then divide both sides by 2 to get your answer of 15

4. Add 5 to both sides to cancel out the negative 5 and you'll get 4

5. Subtract 3 from both sides to cancel out the 3 and you'll end up with 2n=8, then you wanna divide both sides by 2 to get your final answer of 4

6. Add 2 to both sides to cancel out the negative 2 and you'll be left with 1/3n=9, next you wanna multiply both sides by 3 to cancel out the 1/3 and you'll get your final answer of 27

Answer:

I like yo cut gggggggggggg

Answer:

8 Is correct on EDGE 2020

Step-by-step explanation:

Just took the test and got it right

The question was incomplete. Below you will find the missing content.

The questions on the first section on a test value 3 points and the questions in the second section carries 5 points. if sydney answer 15 questions in the first section correctly what is the minimum number of questions she must have answered correctly in the second section.And the maximum points she scored is 80.

Answer:

Sydney must have answered at least 8 answers in the second section.

Concept

What is Inequality?

Inequality is a condition which compare algebraic expression using greater than(>), less than(<) symbols. It also shows values greater than equal to(≥), less than equal to(≤) and not equal to(≠) signs to solve the equation.

Therefore the inequality representing her score is 3x + 5y > 80

Solution:

Following  the inequality  3x+5y>80, 3x  represents  sydney's  score in the first section which is equal to 3ₓ15 = 45

Now she needs to solve 8 questions in the second section to score            

5 ₓ 8 = 40 for the inequality to be maintained.

i.e 3 ₓ 15 + 5 ₓ 8 > 80

45 + 40 > 80

85 > 80

If she solves 7 questions in the second section then the total score will be 45 + 45 ⊅ 80

Therefore sydney answers 8 questions correctly in the second section.

Learn more about "inequality equations" here-

brainly.com/question/24372553

#SPJ2

Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)

If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.

Substitute from -3≤x≤1 (We get 5 points)

f(-3) = 4^-3

f(-3) = 1/4^3

f(-3) = 1/64 (First point) (-3,1/64)

f(-2) = 4^-2

f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)

f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)

f(0) = 4^0 = 1 (Fourth point) (0, 1)

f(1) = 4^1 = 4 (Fifth point) (1,4)

Answer:

(3a +6b) (9a² - 18ab + 36b²)

Step-by-step explanation:

27 = 3 * 3 * 3 = 3³

216 = 6 * 6 * 6 = 6³

a³ + b³ = (a + b)(a² - ab + b²)

27a³ + 216b³ = (3a)³ + (6b)³

                      = (3a + 6b)( (3a)² - 3a*6b + (6b)² )

                      = (3a +6b) (9a² - 18ab + 36b²)

Answer:

Step-by-step explanation:

let the number of dimes=x

and number of quarters=y

x=2y

0.10 x+0.25 y=2.25

or 10x+25y=225

divide by 5

2x+5y=45

2 ×2y+5y=45

4y+5y=45

9y=45

y=45/9=5

x=2y=2×5=10

Hence dimes=10

quarters=5

Answer:

12/25 (0.48 in decimal form)

Step-by-step explanation:

3/5 divided by 1 1/4

Make 1 1/4 an improper fraction:

1 1/4 = 5/4

Now we flip 5/4 (the second fraction) when we divide and then multiply it by the first fraction.

Our equation now:

3/5 x 4/5

After multiplying across, you get 12/25 (0.48 in decimal form).

Hope this helps!

Answer:

599

Step-by-step explanation:

uh just subtraction

Answer:

599

Step-by-step explanation:

689-90=599

Thats pretty sad...

Answer:

5(x + 3) = 3x - 4

=> (5 * x ) + (5 * 3) = 3x - 4

=> 5x + 15 = 3x - 4

=> 5x = 3x - 4 - 15

=> 5x - 3x = -4 - 15

=> 2x = -19

=> x = -19/2

=> x = -9.5

If my answer helped, kindly mark me as the brainliest!

Thank You!!

Answer:

Yes, the point lies on the line.

Step-by-step explanation:

 Given coordinate of the locus = (1,2)

  Equation of the line  2x+4y = 10

Unknown:

Does the given coordinate lie on the line?

Solution:

The equation given is that of a straight line. To solve this problem, we simply plug the coordinates of the point back into the equation and check if solves it.

   x  = 1 and y = 2;

   2x+4y = 10

 So;

    2(1) + 4(2) gives 2 + 8 = 10

Yes, the point lies on the line.

Answer:

1/2

Step-by-step explanation: