Rewrite as a simplified fraction.
2.31 with the 1 repeating

Answers

Answer 1

Answer: [tex]\frac{104}{45}[/tex]

Step-by-step explanation:

[tex]2.31^-[/tex]

Let x be equal to that.

[tex]x=2.31^-[/tex]

Multiply by 1 followed by as many zeros as repeating numbers. In this case it's just one repeating decimal, therefore, 1 followed by 1 zero or 10.

[tex]10x=2.31^-*10[/tex]

This basically moves the decimal point one number to the right.

[tex]10x=23.11^-[/tex]

Subtract the first equation from this new equation.

[tex]10x=23.11^-\\-x=2.31^-[/tex]

--------------------------

The repeating decimal is eliminated and we are left with:

23.1

- 2.3

---------

20.8

We also have 10 - 1 = 9. We are left with:

[tex]9x=20.8[/tex]

Divide by 9.

[tex]x=\frac{20.8}{9}[/tex]

To get rid of the decimal, multiply by 1 followed by as many zeros as decimals. In this case 1.

[tex]x=\frac{20.8}{9} (\frac{10}{10} )[/tex]

[tex]x=\frac{208}{90}[/tex]

Let's simplify.

208/2=104

90/2=45

[tex]x=\frac{104}{45}[/tex]


Related Questions

Correct answers only!

To the nearest cent, how much will she have in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

0.62

Step-by-step explanation:

Solve this equation.What is the length of x?

Answers

Answer:

6. 12.5 cm

7. 0.7241

Step-by-step explanation:

6.

You have 2 right triangles. You can use the Pythagorean theorem for each one.

a^2 + b^2 = c^2

Let y = length of vertical side between triangles.

Left triangle:

5^2 + y^2 = 13^2

25 + y^2 = 169

y^2 = 144

y = 12

Right triangle:

3.5^2 + 12^2 = x^2

12.25 + 144 = x^2

x^2 = 156.25

x = 12.5

Answer: x  12.5 cm

7.

For <X, 2.0 ft is adj leg. 2.9 ft is hyp.

cos X = 2.0/2.9 = 0.6897

X = cos^1 0.6897 = 46.397 deg

sin X = sin 46.397 deg = 0.7241

Which is the correct way to model the equation-+8 = 7x+(-8) using algebra tiles?
1 positive x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 positive unit tiles on the right side
8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side
8 positive x-tiles and 1 negative unit tile on the left side; 8 negative X-tiles and 7 positive unit tiles on the right side
VX

Answers

Answer:

Step-by-step explanation:

1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side

Answer:

the answer is c

Step-by-step explanation:

There is a tall tree in ivas backyard. She thinks it might hit her house if it fell over. She measures that the base of the tree is 50 feet from her house. When Iva stands at the edge of her house, the angle of elevation from her feet to the top of the tree is 50°. Ivas house is safe if the tree’s height is less than the distance from the house.
The height of the tree is ____ 50 feet, so ivas house is ________

Answers

Answer:

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Step-by-step explanation:

Find the height of the tree

Let

h ----> the height of the tree

we know that

The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)

so

tan(50°)=h/50

h=(50)tan(50°)=59.6 ft

therefore

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Given the following​ functions, find the indicated values.

Answers

Answer:  Please provide an image of what you are talking about so that we can help you more.

Which data display shows the number of observations? Check all that apply.
A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 4 students have 0 siblings; 9 have 1; 5 have 2; 3 have 3; 2 have 4; 0 have 5; 1 has 6; 1 has 7.

A pie chart titled Sibling Survey. 1 sibling is the largest piece, then 2 siblings, then 0 siblings, followed by 3, 4, 6, and 7.

A bar graph titled Sibling Survey has number of siblings on the y-axis and number of students on the y-axis. 13 students have 0 to 1 sibling; 8 have 2 to 3; 2 have 4 to 5; 2 have 6 to 7.

A box-and-whisker plot. The number line goes from 0 to 8. The whiskers range from 0 to 7, and the box ranges from 1 to 3.

A dot plot goes from 0 to 7. 0 has 4 dots, 1 has 9 dots, 2 has 5 dots, 3 has 3 dots, 4 has 2 dots, 5 has 0 dots, 6 has 1 dot, and 7 has 1 dot.

Answers

Answer: A,C,E

Step-by-step explanation:

I took the test and got it right

Answer:

the is a, c, and e

Step-by-step explanation:

hope this helps

The perimeter of a regular hexagon is 84 cm. What is the length of one side?


(WRITE AN EQUATION FOR THAT^^)

Answers

Answer:

14cm

Step-by-step explanation:

As we know , hexagon has six sides .

so ,

We will divide the number of sides by the total perimeter to obtain the length of one side :

_____________________

Hexagon = 6 sides .

Length of one side of hexagon would be = 84/6

=> 14 cm

Answer:

14 cm

Step-by-step explanation:

The perimeter of a regular hexagon is 84 cm. (Given)

Here,

Hexagon = 6 sides

Now,

= 84 ÷ 6

= 14 cm

Thus, the length of one side is 14 cm

The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
2 and one-half in.
3 in.
3 and one-half in.
250 in.

Answers

Answer:

2 1/2

Step-by-step explanation:

take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2

Answer:
2 [tex]\frac{1}{2}[tex] in.
Step-by-step explanation:

I need help finding the slope and y-Intercept

Answers

Answer:

You Do y= mx+b

Step-by-step explanation:

Answer:

y-intercept is 2 because line passes through (0,2) and the slope is 3.

The equation of this line is y=3x+2.

WILL MARK BRAINLEST IF RIGHT.

Answers

Answer: 49.39

Step-by-step explanation:

Answer:

49.32

Step-by-step explanation:

what would be 2 + 7x + 3 − 5x − 1 = ______ plz help

Answers

B :)))))))))))))))))))))))))))))))))))))))))))))((

Answer:

4 +2x

2(2+x)

Step-by-step explanation:

2 + 7x + 3 − 5x − 1

Combine like terms

2+3-1   +7x-5x

4 +2x

We could also factor out a 2

2(2+x)

someone help me with this question ​

Answers

Answer:

Step-by-step explanation:

a) Complete the table

                          Monday             Tuesday            Wednesday             Total

Female       21-14=7                 38-13-7= 18                 13                          38

Male              14                       33-18= 15                 26-13 =13            80-38=42

Total        80-33-26= 21                 33                          26                      80

b) P(the student is a female) = 38/80= 0.475

c) P(the student visited the library on Tuesday) = 33/80= 0.4125

Answer:

a) Monday Total: 21.

Monday Female: 7.

Tuesday Female: 18.

Tuesday Male: 15

Wednesday Male: 13

Male Total: 42.

b) 47.5% probability that the student is a female.

Step-by-step explanation:

a) How to find Monday Total: We have the totals for Tuesday and Wednesday, and we know the total of all three days is 80. So, we need to find the difference between Tuesday + Wednesday & all 3 days, to find the total of Monday. What we do is add 33 + 26 which equals to 59. Then, we remove 59 from 80 (80-59). The answer we get is 21, which is the difference between the two. That's Monday's total.

How to find Male Wednesday: We already have Wednesday Female, and the total for Wednesday. But now we're finding the Wednesday Male. Find the difference between Wednesday Total and Female (26-13). The answer is 13! The Wednesday Male is therefore 13.

How to find Male Total: We have to find the difference between the complete total (80) and the Female total (38). Subtract: (80-38). The answer you get is 42!

How to find Tuesday Male: Now that we have the Wednesday Male, and the Male Total, we can easily find the Tuesday Male! The Male Total is 42, and we know the Male Monday is 14, along with the Male Wednesday being  13. Add Male Monday and Male Wednesday together. (13+14=27). Now take that and remove it from 42. (42-27). The answer we get is 15. 15 is our Tuesday Male.

How to find Monday Female: We already know what the Monday Total is from previous calculations(21), so all we have to do now is find the difference from the Monday Total and the Male Monday to find the Female Monday. Subtract: (21-14) The answer we will get is 7. The Monday female is 7.

How to find Tuesday Female: We already have Tuesday Male, and the Tuesday Total, so we subtract the Tuesday Male from the Tuesday Total. (33-15). The answer we get is 18.

b) The answer would be 47.5% because 38 is 47.5% of 80. How? Divide 38 by 80. The answer would be 0.475. Now, multiply that answer by 100. You get 47.5! That's the percentage.

This is my first question that I've answered, I'm sorry if there are any mistakes!

SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP

Answers

Answer:

It's B.

Step-by-step explanation:

Z=-3, z=6

What is the area of rectangle with side lengths of 5/12 foot and 2/3 foot?

Answers

Answer:

The answer is 5/18

Step-by-step explanation:

The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet and this can be determined by using the formula of the area of a rectangle.

Given :

Lengths of 5/12 foot and 2/3 foot.

The area of the rectangle is given by the formula:

A = W [tex]\times[/tex] L

where A represents the area of the rectangle, W represents the width of the rectangle, and L is the length of the rectangle.

So, the area of a rectangle with side lengths of 5/12 foot and 2/3 foot is given by:

[tex]\rm A = \dfrac{5}{12}\times \dfrac{2}{3}[/tex]

Further, simplify the above expression

[tex]\rm Area = \dfrac{10}{36}[/tex]

[tex]\rm Area = \dfrac{5}{18}[/tex]

The area of a rectangle with side lengths of 5/12 foot and 2/3 foot is 5/18 square feet.

For more information, refer to the link given below:

https://brainly.com/question/11952845

Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x

Answers

Answer:

2.8-5.4

Step-by-step explanation:

4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right

Express
as a unit rate.

Betty drives her car 150 km in 2 h. Explain

Answers

Answer:

75 km per hour

Step-by-step explanation:

[tex]\frac{150km}{2hr}[/tex] divided by two is [tex]\frac{75km}{1hr}[/tex].

you want to start a necklace making business. You spend $0.68 on string for each necklace and $0.25 on beads for each necklace. You sell your necklaces
for $2.00 each. If you sell 30 necklaces, how much profit will you make?

Answers

Answer:

Your profit would be 32.10$

Step-by-step explanation:

You spent 20.40$ on string, then you spent 7.50$ on beads too. That adds up to 27.90$ in total, so once you make your 30 necklaces you sell them for 2.00$ let's say you sell them all in one day your coming come with 32.10$ profit. Because you put 27.90$ into making the necklaces.

Solve the following equation using any method of your choosing: 6x² +24x = 0

Answers

Answer:

x = 0   or  x = -4

Step-by-step explanation:

Solve: 6x² +24x = 0

First you can factor this binomial.

6x² +24x = 6x (x + 4) = 0

so  x = 0  or  x + 4 = 0

x = 0   or  x = -4

what function below will translate f(x)=x^2 left 5 units a down 1 unit?
A. f(x)= (x-1)^2-5
B.f(x)=(x-5)^2-1
C.f(x)=(x-5)^2+1
D.f(x)=(x+5)^2-1
HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

In the parenthesis with x it up or down on the y axis, and then after the function is what where after or before the origin the line starts on the x-axis.

Help me asap!!!!!!!!!!!

Answers

Answer:

(x-2)^2-11

Step-by-step explanation:

= (x - 2)^2 - 11 is the answer

The price of a car was decreased by 16% to £2400. What was the price before the decrease?
Give your answer to the nearest penny.

Answers

Answer:

  £2857.14

Step-by-step explanation:

The price after the decrease is 84% of the original price, so we have ...

  £2400 = 0.84 · (original price)

  £2400/0.84 = original price ≈ £2857.14

Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie. Adrian earned a total of $1010 in royalties on 14 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Adrian's songs were played.

Answers

Answer:

Step-by-step explanation:

Let number of songs are played in a commercial be a

     number of songs are played in a movie be b

Adrian earned a total of $1010 -> a*40 + b*130 = 1010  (1)

14 commercials and movies -> a+b = 14                          (2)

(1) - (2)*40 =  a*40 + b*130 - a*40 -b*40 = 1010 -14*40

-> b*90 = 450

-> b = 5

-> a = 14-5 = 9

The system of equation should be used is 40a + 130b = 1010

And, a + b = 14

And, the number of commercials and the number of movies on which Adrian's songs were played is 9 and 5

The following information should be considered:

Let us assume the number of songs are played in a commercial be a and   number of songs are played in a movie be b

So, the equations are

40a + 130b = 1010

a + b = 14

b = 14 - a

Now

40a + 130(14 - a) = 1010

40a + 1,820 - 130a = 1010

-90a = -810

a = 9

And, y = 14 -9

= 5

learn more: https://brainly.com/question/10309631?referrer=searchResults

Classify the number as natural, whole, integer, rational, and/or irrational.

Select all terms that are correct.
-25

Natural Whole Integer Rational Irrational


Answers

It's not natural because it is not positive.
It is a whole integer because there is no decimal part.
It's rational because it can be written as a ratio.
It is not irrational because it is rational.

Answer:

integer and rational hth

Step-by-step explanation:

how to find the mean median and mode for (6, 5 ,6) ( 7 ,6 ) (6 ,7 ) (4 ,6 ) ( 7 ,7 ) ( 6 ,7 ) (7 ,7) ( 4 ,7)​

Answers

Answer:

the answer is 7

Answer:

7

Step-by-step explanation:

Which is the best estimate for the liquid volume of a small carton of milk?

Answers

Answer:

Step-by-step explanation:

Tennessee has a population of about 6,495,978. Its territory can be modeled as a trapezoid, as shown in the figure. Each unit on the coordinate grid represents one mile. Find the approximate population density of tennessee. Round to nearest whole number if necessary.

Answers

Answer:

The population density is 150 persons per square mile

Step-by-step explanation:

Firstly, we need to calculate the area of the trapezoid.

Mathematically, the area of a trapezoid is

(a+b)/2 * h

from the grid, we can obtain the lengths

on the x-axis , each line is 40(200/5 thin lines)

on the y-axis, each thin line also is 40(200/5 thin lines)

thus a = (8 * 40) = 320

b = (10* 40) = 400

h = (3 * 40) = 120

Inserting this into the area equation, we have the area of the trapezoid as (320 + 400)/2 * 120 = 43,200 units

since each unit = 1 mile, the area of Tennessee = 43,200 units

The population density is thus ; 6,495,978/43,200= which is approximately 150 persons per square mile

The population density is a number that gives the number of people located within the state.

[tex]\mathrm{The \ population \ density \ is \ approximately}\ \underline{150}\ \frac{persons}{mi.^2}[/tex]

Reasons:

The population of Tennessee = 6,495,978

The dimensions of the trapezoid model of the territory are;

Base length, a = 320

Base length, b = 400

Height of the trapezoid, h = 120

[tex]Area \ of \ the \ trapezoid = \mathbf{\dfrac{a + b}{2} \cdot h}[/tex]

Which gives;

[tex]Area \ of \ the \ trapezoidal \ territory = \mathbf{\dfrac{320 + 400}{2} \times 120 }= 43,200[/tex]

Area of the trapezoidal territory of the state = 43,200 mi²

[tex]The \ ratio \ of \ the \ population \ to \ the \ territory = \dfrac{6,495,978}{43,200} = 150.36986\overline 1[/tex]

Therefore;

[tex]The \ population \ density \approx \underline{150}\ \frac{persons}{mi.^2}[/tex]

Learn more here:

https://brainly.com/question/16098011

please help will mark brainly

Answers

Answer:

1 hour and 5 minutes

Step-by-step explanation:

Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes

Graph the inequality of y less than or equal to2x + 2?

Answers

First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.

A spinner has 6sectors half are red and half of which is black if the radius of the spinner is 3 inches what is the area of the red sectors

Answers

Answer:

HIIII!!!

Step-by-step explanation:

Julio is doing an experiment in science class where he tests how high a ball bounces when it is dropped from 1 meter.
He tests several balls made of different materials and records the results. The results are shown below.

85 cm, 83 cm, 57 cm, 89 cm, 62 cm, 68 cm, 91 cm, 22 cm, 28 cm, 58 cm, 37 cm, 41 cm, 36 cm, 59 cm, 88 cm, 54 cm, 76 cm, 90 cm

Use the drop-down menus to explain how to choose the intervals for a frequency table to represent the data.
The data values have a spread of centimeters. Intervals with a range of centimeters are reasonable.












Gets THE BRANLIeST QUICKLY ANSWER AND I WILL GIVE YOU ALL MY POINTS!!!!!!!!!!!!!!!!ASAP

Answers

Answer: The data values have a range of 70 centimeters. Intervals with a range of 10-20 centimeters should be reasonable.

Answer:

it might be

69

10-20

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