Write each rational number as a repeating decimal.
1. -7/9
2. 11/15
3. 8/3

Answers

Answer 1

Final answer:

To write a rational number as a repeating decimal, perform long division. -7/9 as a repeating decimal is -0.7777..., 11/15 is 0.7333..., and 8/3 is 2.6666...

Explanation:

To write a rational number as a repeating decimal, you need to perform a long division. Let's go through each of the given rational numbers:

1. -7/9

When you divide -7 by 9, you get -0.7777… with the 7s repeating. So, -7/9 as a repeating decimal is -0.7777…

2. 11/15

When you divide 11 by 15, you get 0.7333… with the 3s repeating. So, 11/15 as a repeating decimal is 0.7333…

3. 8/3

When you divide 8 by 3, you get 2.6666… with the 6s repeating. So, 8/3 as a repeating decimal is 2.6666…


Related Questions

A computer is normally $899 but it is discounted to $799. What percent of the original price does Shawn pay?

Answers

899 : 799 = 100 : x
x = 799 * 100 : 899
x = 88.87%

Jack and jill ran a 200 meter race. jill ran the race in in 25 seconds and won by 1010 âmeters; that is jack had run only 190190 meters when jill crossed the finish line. they decide to raceâ again, but this time jill starts 1010 meters behind the starting line. assuming that both runners run at the same pace asâ before, who will win the second race and by how manyâ seconds?

Answers

the speed of jack = 190m/25s = 7.6 m/s
the speed of jill = 200m/25s = 8 m/s 

the distance travelled by jack in 2nd race= 200m 
the distance travelled by jill in 2nd race= 210m 

the time taken by jack in 2nd race = 200m/(7.6 m/s) = 26.3158 s
the time taken by jill in 2nd race = 210m/(8 m/s) = 26.25 s

therefore jill will still win and lead by 26.3158s – 26.25s = 0.0658 seconds

How old is Kristaps Porzingis

Answers

he is 22 years old :D
Final answer:

Kristaps Porzingis was born on August 2, 1995. As of the knowledge cutoff in 2023, he is 27 years old. For the latest information, current sources should be consulted as his age changes annually.

Explanation:

The age of Kristaps Porzingis, a professional basketball player, can be determined by knowing his date of birth. Kristaps Porzingis was born on August 2, 1995. As of the knowledge cutoff in 2023, he would be 27 years old. It is always advised to check current sources for the most up-to-date information as the age of a living person changes every year.


As of my last knowledge update in January 2022, Kristaps Porzingis was born on August 2, 1995. To determine his current age, you can subtract his birth year from the current year. However, please note that I do not have real-time information, and his age might have changed since my last update. I recommend checking the latest sources, such as news articles, the official NBA website, or Porzingis' official social media accounts, for the most up-to-date information on his age.

Write an equation for a rational function with: vertical asymptotes at x = -4 and x = 4 x-intercepts at x = -6 and x = 5 horizontal asymptote at y = 8

Answers

Final answer:

A rational function with the required characteristics is f(x) = 8(x + 6)(x - 5) / (x + 4)(x - 4), considering vertical asymptotes, x-intercepts, and a horizontal asymptote.

Explanation:

To write an equation for a rational function with given characteristics, we need to incorporate the vertical asymptotes, x-intercepts, and horizontal asymptote into our function.

Firstly, vertical asymptotes at x = -4 and x = 4 suggest that the denominator of our function will be in the form (x + 4)(x - 4), as setting x to -4 or 4 will make the denominator zero, which creates the asymptotes.

Secondly, x-intercepts at x = -6 and x = 5 indicate that the numerator will have factors that become zero at these x-values. Hence, the numerator should be(x + 6)(x - 5).

Finally, for the function to have a horizontal asymptote at y = 8, the degree of the numerator and denominator must be the same, and the leading coefficients of the numerator and denominator must have a ratio that equals 8. To achieve the horizontal asymptote, we multiply the numerator by 8, thus the leading coefficients of the numerator and denominator are in the ratio 8:1.

Combining all these elements gives us our rational function: f(x) = 8(x + 6)(x - 5) / (x + 4)(x - 4)

A statement and portions of the flowchart proof of the statement are shown.

Which reason should appear in the box labeled 1?

Linear Pair Postulate

Substitution Property of Equality

Angle Congruence Postulate

Ruler Postulate Angle

Answers

Answer:

Substitution Property of Equality

Step-by-step explanation:

I just took this test, that was the answer

A proof is a mathematical statement that shows that a postulate is true. The statement that should appear in the box is:

Substitution Property of Equality

Given that:

[tex]\angle PQR = 17^o[/tex]

[tex]\angle RQS = 13^o[/tex]

Then, we have:

[tex]\angle PQS = \angle PQR + \angle RQS[/tex]

Substitute the values of PQR and RQS

[tex]\angle PQS = 17^o + 13^o[/tex]

Because the values of PQR and RQS are substituted to get: [tex]\angle PQS = 17^o + 13^o[/tex]

This means that the reason that should appear in the box is: Substitution Property of Equality

Read more about proofs at:

https://brainly.com/question/1949419

What is 25 hundreds 4 tens 12 ones in standard form

Answers

the answer is 25,052
2552 is your answer

hope this helps

In a sale there is 10% of all prices.a chair costs £63 in the sale.hoow mutch was it before the sale?

Answers

100% - 10% = 90%

63 = 0.90 x ?
63/0.90 = 70
Original price = £70

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. a certain car uses 11 gallons of gasoline to travel 198 miles. how many miles can the car travel if it has 10 gallons of gasoline?

Answers

The easiest way to solve this problem is to first find how many miles you can travel with 1 gallon. To do this you divide 198 miles by 11 gallons. With this you can determine that 1 gallon gets you 18 miles. Multiply 18 by 10 and you get 180. 10 gallons lets you travel 180 miles.

When (x^2+3x+4)(x^2+2+1) is simplified what is the coefficient of the x^3 term

Answers

(I wrote this up assuming the "2" term in the second trinomial was meant to be a "2x") You can find the answer by expanding the expression in the usual way, by repeated application of the distributive property:

[tex](x^2+3x+4)(x^2+2x+1)=\\(x^2+3x+4)x^2+(x^2+3x+4)2x+(x^2+3x+4)1=\\ x^2(x^2)+3x(x^2)+4(x^2)+x^2(2x)+3x(2x)+4(2x)+x^2+3x+4=\\ x^4+3x^3+4x^2+2x^3+6x^2+8x+x^2+3x+4\\ x^4+(3x^3+2x^3)+(4x^2+6x^2+x^2)+(8x+3x)+4=\\\\ x^4+5x^3+11x^2+11x+4[/tex]

So the coefficient of your x³ term would be in this case.

((Use the graph below to answer))

When x = -3, then y = a0.

Answers

Take a look at the vertical grid line passing through the point (-3,0) on the x-axis, and notice where it intersects with the line shown in the image. To find the corresponding y-coordinate of that point on the line, follow the *horizontal* grid line that meets at that same intersection until you reach the y-axis. The number you see on the y axis at this point is the y coordinate you’re looking for.

If you pop 3 bags of popcorn in 15 minutes how many bags did you pop per minute

Answers

1 for every 5 minutes
well since you can only do 3 every 15 minutes per minute isnt going to be a whole number. You would have to do 3/15 which is 0.2 bags per minute

what is 875/1000 simplified

Answers

It is 7/8 because when you divide both deniminator and the numerator into 125, you get 7/8
The answer is 7/8, divide 875/1000 3 times and you should get 7/8.

A guy is standing 112 m from a building. the angle of elevation from where hes standing on the ground to the top of the building is 62 degrees
how tall is the building

Answers

check the picture below.

make sure your calculator is in Degree mode.

Write a two proof column
Given: 4y=2x-10 ; y=6
Prove: x=17

Answers

Given: 4y =2x-10, and y=6 Substituting for y in the equation gives 4(6) = 2x-10 or 24 = 2x-10 Adding 10 to both sides of the equation 24+10 = 2x - 10+10 34 = 2x Dividing both sides by 2 34/2 = 2x/2 Answer 17 = x

a plane is 48 miles west at 49 miles north of an airport. the pilot wants to fly directly to the airport. what bearing should the pilot take

Answers

Final answer:

The pilot must compute the bearing as an angle from the north clockwise using the arctangent of the absolute value of the westward distance divided by the northward distance, then subtract this angle from 360 degrees. Wind from the north would require additional eastward adjustment to this bearing, varying with wind speed and the plane's speed.

Explanation:

The student is inquiring about navigation in the context of a trigonometry problem. The pilot must determine the bearing to fly directly to the airport from a point 48 miles west and 49 miles north of it. To solve this, we view the problem as a right-angle triangle where the plane is at the point (x, y) = (-48, 49) relative to the airport at an origin (0, 0). The bearing needed is calculated by finding the angle from the north in a clockwise direction, which constitutes the direction in which the pilot must fly.

The bearing θ can be found using the arctangent function: θ = arctan(|-48| / 49). Once this is computed, the bearing is 360 - θ degrees (because bearings are measured clockwise from the north). This is because the plane is to the west of the airport, so we calculate the angle relative to the western axis and subtract it from 360 to get the eastern bearing required.

If there were a wind blowing from the north, the pilot would have to adjust this bearing further east to compensate for the westward push of the wind. This would also depend on the speed of the plane relative to the air mass and the speed of the wind itself. A stronger wind or a slower plane would require a greater adjustment.

Answer:

135.6°

Step-by-step explanation:

tan Θ = opp/adj

tan Θ = 48/49

Θ = tan^-1 48/49

Θ = 44.4°

180° - 44.4° = 135.6°

How many inches are there in 355 millimeters?

Answers

There are 13.976 inches in 355 millimeters

Given △ABC≅△JKL , m∠B=55° , and m∠L=25° , what is the measure of ∠J ? Enter your answer in the box.

Answers

<J = 100 is your answer!

Answer:

m∠J = 100° is the answer.

Step-by-step explanation:

Given : ΔABC ≅ ΔJKL,

            m∠B = 55°

            m∠L = 25°

To find : ∠J

Since in both the triangles ABC and JKL

m∠A ≅ m∠J

m∠B ≅ m∠K = 55°

m∠C ≅ m∠L = 25°

Since measure of ∠K and ∠L are known then we can calculate the third angle j

m∠J + m∠K + m∠L = 180°

55° + 25° + m∠J = 180°

80° + m∠J = 180°

m∠J = 180 - 80

        = 100°

Therefore, m∠J = 100° is the answer.

Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She wants to make at least $65 dollars. She is only allowed to work 13 hours per week. Write and graph a system of inequalities to represent this situation.

Answers

Convert the task into an equation so that you can graph the situation:
According to the given information :

x+y≤13
7x+4y≥65
Here is the graph based on the equation 
As you can see, to achieve set goal Mary can work 6 or 7 hours.

Answer:

inequalities are x + y ≤ 13 and 4x + 7y ≥ 65

Step-by-step explanation:

Given: Mary babysits for $4 per hour. She also works as a tutor for $7 per hour. She wants to make at least $65 dollars. She is only allowed to work 13 hours per week.

We have to write and graph the system of inequalities to represent this situation.

Let she babysits for x hours per week

and she works as a tutor for y hours per week

Then given she is allowed to work for 13 hours per week.

this inequality is stated as x + y ≤ 13

Mary babysits for $4 per hour if she babysits for x hours then she get 4x

She also works as a tutor for $7 per hour if she teach for y hours then she get 7y

also, she wants to make at least $65 dollars.

Then, this inequality is represented as 4x + 7y ≥ 65

Plotting of this two inequality is represented as graph shown below.

What is the slope of the line passing through the points (2, −5) and (4, 1)?



a.​−45 ​

​b.54 ​

c.3

d.2

Answers

Slope of a line is represented by the formula:

M = y2 - y1 / x2 - x1

Substitute the coordinates in.


M = 1 - (-5) / 4 - 2

M = 1 + 5 / 4 - 2

M = 6 / 2

M = 3

The slope of a line passing through the points (2, -5) and (4, 1) is 3.

Solution: C) 3
So you do the slope equation to solve this.
Insert your numbers and get, 1- -5/4-2.
Then you simplify, get 6/2.
Divide and get 3, so the slope of the line is 3.
Hope this helps

If the police have 9 suspects how many different ways can they select 5 for a lineup

Answers

Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time.  The combinations can be shown as C(9,5), 9C5.

C(9, 5) =
9/5(9-5) = 
9*8*7*6*5 / 5*4 

The 5 terms cancel. 

9*8*7*6 / 4*3*2 = 
9*7*2 = 
126

The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126. 

The number of ways 5 suspects can be selected from 9 by the police is 126.

The number of ways the police can select 5 suspects from 9 is calculated using combinations. In this case, it is a combination problem because the order in which the suspects are selected does not matter. The formula for combinations is:
C(n, k) = n! / (k! * (n - k)!)
where n is the total number of suspects and k is the number of suspects to be selected.

Therefore, substituting n = 9 and k = 5 into the formula:
C(9, 5) = 9! / (5! * (9 - 5)!)
C(9, 5) = 126 ways


Rewrite the rational exponential expressions as an equivalent radical expressions.

Answers

1) 8^3/4 = 4th root (8^3) (top row, third one)
2) 7^2/3 = ∛7^2 (second row, third one)
3) 3^4/3 = ∛3^4 (second row, first one)
4) 25^3/4 = 4th root (25^3) (first row, first one)
5) 44^3/2 = √44^3 (third row, first one)

Two airplanes leave chicago's midway airport at the same time, traveling in opposite directions. one travels at 25 miles per hour faster than the other. after 2 hours they are 490 miles apart. find the speed of each airplane.

Answers

Final answer:

The first airplane travels at 110 miles per hour, and the second airplane travels at 135 miles per hour.

Explanation:

The question deals with two airplanes leaving Chicago's Midway Airport at the same time and heading in opposite directions.

One travels at a speed that is 25 miles per hour faster than the other.

After 2 hours, they are 490 miles apart, and we need to find the speed of each airplane.

Let's define the speed of the slower airplane as x miles per hour.

Then, the faster airplane's speed would be x + 25 miles per hour.

Since they are traveling in opposite directions for 2 hours, we can set up the equation:

2x + 2(x + 25) = 490

Solving for x will give us the speed of the slower airplane, and x + 25 will give us the speed of the faster airplane.

2x + 2x + 50 = 490
4x + 50 = 490
4x = 440
x = 110

Thus, the speed of the slower airplane is 110 mph, and the faster airplane is 135 mph (110 mph + 25 mph).

Which ordered pairs are solutions to the inequality 2x + y > 8 ? Choose all answers that are correct.

Question 10 options:

(3,2)


(-1,9)


(5,-1)


(4,3)

Answers

Hi again!

2x + y > 8

The correct answer is option D
-------------------------------------------

Honestly I don't think we can solve the equation to find the answer. What we can do is to find the boundary line. (I think you know what that is) After that, shading the appropriate area.

y > -2x + 8

Again, credit to my beautiful graphing calculator. Here is how it looks like.

Help please geometry

Answers

Remember that [tex]\sin^2(x)+\cos^2(x)=1[/tex]. Using this information, we have:
[tex]0.34^2+\cos^2{x}=1[/tex]
[tex]\cos^2(x)=1-0.34^2=0.8844[/tex]
[tex]\cos(x)=0.9404[/tex]

The volumes of soda in quart soda bottles are normally distributed with a mean of 32 ounces and a standard deviation of 1.2 ounces. what percentage of soda bottles will have a volume less than 31.46 ounces

Answers

The answer for this question is 70%

Answer:

32.64%

Step-by-step explanation:

Let's define the random variable X in the following way:

X: the volume of a soda in a quart soda bottle. We know that X is normally distributed with a mean of 32 ounces and a standard deviation of 1.2 ounces, i.e.,

[tex]\mu[/tex] = 32 ounces

[tex]\sigma[/tex] = 1.2 ounces

The normal density function for a random variable with a mean of 32 and a standard deviation of 1.2 is given by

[tex]f(x)=\frac{1}{\sqrt{2\pi }1.2} \exp[-\frac{(x-32)^{2} }{2(1.2)^2} ][/tex]

and we need to calculate the following probability

[tex]P(X\leq 31.46)[/tex], this probability is given by

[tex]P(X\leq 31.46) =\int\limits^{31.46}_{-\infty} {\frac{1}{\sqrt{2\pi }1.2} \exp[-\frac{(x-32)^{2} }{2(1.2)^2} ]} \, dx[/tex] = 0.3263552

you can use a computer to calculate this probability or a table from a book. You can use the following instruction in the R statistical programming language for example

pnorm(31.46, mean = 32, sd = 1.2)  with give us 0.3263552, then,

the percentage we are looking for is (0.3263552)(100)=32.64.

carlotta is constructing an equilateral triangle. she has already constructed the line segment and arc shown.

Answers

Answer:

Place the point of the compass on point Q and draw an arc that intersects the first arc, using the same width for the opening of the compass as the first arc.

Step-by-step explanation:

She is constructing an equilateral triangle.  This means that all 3 sides must be congruent.  She has drawn an arc by placing her compass on point P and setting it to the width of segment PQ.  This arc passes through point Q.

In order to ensure that the sides are congruent, she must keep her compass the same width.  She will now go to the opposite end of the segment, point Q, and construct an arc that runs through point P.  The goal is to intersect her first arc at a point that will serve as the third vertex of the triangle.

The next step in constructing an equilateral triangle after drawing the line segment and the first arc is;

Option B; Place the point of the compass on point Q and draw an arc that intersects the first arc using the same width for the opening of the compass as the first arc.

To answer this question, we will enumerate all the steps required to construct an equilateral triangle.

Step 1; Construct a line segment PQ to serve as the length of the side of the equilateral triangle and label the 2 endpoints P and Q.

Step 2; Place one leg of the compass at point P and with the other leg at point Q, swing an arc above line PQ

Step 3; Without Changing the width of the compass, place the first leg at point Q and with the second leg now at point P, swing another arc to intersect the first arc.

Step 4; Label the point of intersection R and draw a straight line from P to R and from Q to R to complete the equilateral triangle.

Looking at the given options, the one that tallies with step 3 which is the next step for the question is Option B.

Read more at; https://brainly.com/question/13159957

A car is traveling at a constant velocity. After two hours the car has traveled 90 miles. After five hours the car has traveled 225 miles. Assuming a linear equation fits this situation, what are the ordered pairs that you would use to find the linear equation

Answers

y=45x 
Hope this helps!!
(2, 90) and (5, 225)

Stan and hilda can mow the lawn in 45 min if they work together. if hilda works twice as fast as stan, how long would it take stan to mow the lawn alone?

Answers

It would take Stan 30 minutes and Hilda 15 minutes

A palm reader gets paid $80 for each palm she reads, and her goal is to earn $2240 reading palms this month. If she has already read 4 palms this month, how many more palms must she read in order to reach her goal?

A.24
B.28
C.20
D.32

Answers

your answer would be (A)24
because 80*4=320
so 2240-320=1920
80*24=1920
 hope this helped:)

A. 24 because the palm reader must read 28 palms to reach $2240 as she charges $80 for each palm. Since she already read 4 palms it should be subtracted from 28 to obtain 24.

Can someone please help me?


John Made a rectangle pen for his dog using 28 feet of fencing. If the width of the pen is 2 feet more than one-half the length, what is the length and width of the pen?


The length of the pen is


A) 6 feet

B) 7 feet

C) 8 feet

Answers

I think the length has to be 6 feet
the answer to that is 
A. 6 feet
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