Mathematics Middle School

What is the decimal equivalent of the fraction?

5/33



A) 0.15⎯⎯⎯⎯

B) 0.15​

C) 0.1⎯⎯5

D) 0.15⎯⎯

Answers

Answer 1
it is A because if you do 5 divided by 33 you get 0.151515 and so on 

Answer 2

The decimal equivalent of the fraction 5/33 is option A. o.15....

What are Fractions?

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

The given fraction is 5/33.

We have to find the decimal corresponding to the given fraction.

For that divide 5 by 33.

5 is not divisible by 33.

So add 0 and it become 50.

50 = (33 × 1) + 17

And the quotient is 0.1 with remainder 17.

Now 17 is not divisible by 33.

Add 0 and it becomes 170.

170 = (33 × 5) + 5

Quotient becomes 0.15 with remainder 5.

Again the remainder is 5 and add 0 and becomes 50.

It continues.

So the quotient is 0.1515....

Hence the decimal form is 0.(15) repeating.

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Related Questions

for the diagram below which equation is the correct use of the distance formula


the last one D is
D= √(11-6)^2 + (5-y2)^2

Answers

the Answer is A, verified apex 

Answer: The correct equation is,

[tex]6.71=\sqrt{ (11-5)^2+(y_2-6)^2}[/tex]

Step-by-step explanation:

If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of a line segment,

Then by the distance formula,

The length of the line segment is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here, (5,6) and (11, [tex]y_2[/tex] ) are the endpoint of the line segment which has the length 6.71,

Thus, d = 6.71, [tex]x_1=5[/tex] [tex]y_1=6[/tex], [tex]x_2=11[/tex]

[tex]\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2[/tex]

Which is the required equation.

Which it true about modeling a solution to an addition problem on a vertical number line?

A. When adding a negative number, you move down

B. When adding a positive number, you move down

C. Locating the sum is not necessary.

D. Locating the sum is the first step

Answers

Part A is correct :)

Answer:

A. When adding a negative number, you move down

Step-by-step explanation:

Actually, according to transformation of functions, there's two types of transformation, those that only involve translation, and those that change the dimension of the function.

In this case, modelling a solution to an addition problem, we know that adding a negative number, the function will move downs, because in that case we will be transformation or "changing" the y-variable, that's why it will move vertically.

Therefore, the right answer is A.

The table shows the sports interests of 75 students.


Sport

Football

Basketball

Swimming

Soccer

Cross Country

Number of Students

24

19

12

15

5


What is the probability that one student likes either swimming or soccer?

a. 0.36

c. 0.34

b. 0.27

d. 0.55

Answers

Answer:

A: 0.36

Step-by-step explanation:

Add all of the numbers up = 75

Add both swimming and soccer up = 27

divide 27 by 75 = 0.36

Which set of numbers represents the lengths of the sides of a right triangle?

a. 5,10,15
b. 13,35,37
c. 9,40,41
d. 6,9,10

Answers

Using the Pythagorean theorem ~ a² + b² = c² ~, if this is true then the triangle is a right triangle.

a) 5² + 10² = 15²
    25 + 100 = 225 *FALSE*

b) 13² + 35² = 37²
     169 + 1225 = 1369 *FALSE*

c) 9² + 40² = 41²
    81 + 1600 = 1681 *TRUE*

d) 6² + 9² = 10²
    36 + 81 = 100 *FALSE*

The answer is C) 9, 40, 41.
C is the answer

as to fulfill the condition of right angle triangle , the sum of the squares of two sides should be equal to the square of third side

9²+40²= 1681

41² = 1681

Hope it helps !! :)

At Northwest Highschool, there are 1472 students in the junior class and 1012 students in the senior class. To let the juniors work with more experienced students, the teachers want to assign the students to committees with the same same number of juniors in each committee and the same number of seniors in each committee. (For example, there might be 2 juniors and 3 seniors in every committee). What is the largest number of committees that can be formed?

Answers

the answer to your question is 23.

First, I would like to know what is means when someone asks you to find the Means-To-Mad Ratio. I do not know what a Means-To-Mad Ratio is.
Second, can someone please answer this problem?

1. {15, 16, 17, 17, 17, 17, 18, 19}
2. {12, 13, 13, 14, 14, 14, 16, 16}
Calculate the means-to-MAD ratio for the two number sentences above.
Thank you.

Answers

MAD = Mean Absolute Deviation.
 so you need to calculate the mean ( average)  and then calculate the MAD ratio

see attached picture for how to calculate the MAD:

how many solutions does this system of equations have?
y= -3x + 7
y= -3x -6

choices
a. infinitely many
b. 2
c. 1
d. 0

Answers

The first step for solving this expression is to know that since both of the expression are equal to y,, we must set them each to each other to form an equation in x. This will look like the following:
-3x + 7 = -3x - 6
Now cancel equal terms on both sides of the equation.
7 = -6
This tells us that the statement is false for any value of x and y,, so our answer is (x,y) ∈ ∅,, or no solution (option D).
Let me know if you have any further questions.
:)

Which is the graph of the function f(x) =1/2x^2-6

Answers

Well it is gonna be compressed inward and down 6 post the graph

Part a) Classify the figure

Part b) Name the vertices, edges, and bases

Answers

a) The figure is a rectangular-base pyramid (maybe square-base, but insufficient information to tell for sure).

b) Vertices: A, B, C, D, E
• Edges: AE, BE, CE, DE, AB, BC, CD, AD
• Bases: ABCD

What is the m∠ACB? 10° 50° 90° 180°

Answers

The total sum of angles in a triangle is 180, thus the value of ∠ACB will be obtained as follows:
Given that the triangle is a right triangle, the sum of angles will be:
(4x)°+(7x-20)°+90=180
simplifying and solving for x we get:
4x+7x-20+90=180
11x=180+20-90
11x=110
dividing both sides by 11 we get:
(11x)/11=110/11
this gives us
x=10°
Thus substituting the value of x in:
∠ACB=(7x-20)° 
=(7*10-20)
=70-20
=50°

Answer: 50°

Answer:

50°

Step-by-step explanation:

90 + 4x+ 7x - 20(+20) = 180 + 20

4x + 7x = 200 - 90

4x + 7x = 110

11x/11 = 110/11

X = 10

m∠ACB =  7x - 20 = 7(10) -  20 = 50

Find the distance between -3 and 4.
A) -12
B) -7
C) -1
D) 7

Answers

The distance between -3 and 4 is D. positive 7. Since you are moving forward 7 places, the answer would be positive, However, if you were moving backwards, it would be -7.

I hope this helps.

Answer:

i just did it its positive 7

Step-by-step explanation:

I’m not sure this I’m so confused in algebra

Answers

|x+4| = 3x - 5

x + 4 = 3x - 5
2x = 9
  x = 9/2

-(x+4) = 3x - 5
-x -4 = 3x - 5
   4x = 1
     x = 1/4

answer
x = 1/4
x = 9/2

A video game was $38. This weekend the game will be marked 13 percent off. How much is the game this weekend?

Answers

Discount = 13% x $38 = 0.13 x 38 = $4.94

Cost of the game after discount = $38 - $4.94 = $33.06

Answer:  $33.06
Final answer:

The video game was originally $38. This weekend it is 13% off. After applying this discount, the game will cost $33.06.

Explanation:

The subject of your question lies in the realm of Mathematics, specifically focusing on a practical application: calculating a discount. In this case, the video game was originally $38 and this weekend, there is a discount of 13%. Since the discount is a percentage off of the original price, you need to multiply $38 by 13% (or 0.13, when presented as a decimal).This operation gives us: $38 * 0.13 = $4.94.This means the discount is $4.94. To find out how much the video game costs after the discount has been applied, you need to subtract this amount from the original price of the game. Therefore, the price of the game this weekend will be: $38 - $4.94 = $33.06.

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Which answer describes the transformation of f(x)=x2−1 to g(x)=(x−1)2−1 ?




a vertical translation 1 unit up

a vertical translation 1 unit down

a horizontal translation 1 unit to the right

a horizontal translation 1 unit to the left

Answers

[tex]f(x)=a(x-h)^2+k\ \text{where (h; k) are coordinates of the vertex}[/tex]


[tex]f(x)=x^2-1\ \ \ vertex (0; -1)\\\\g(x)=(x-1)^2-1\ \ \ vertex(1;-1)[/tex]



Answer: a horizontal translation 1 unit right.

What best describes the expression y over 3?

A. 3 more than some number
B. Some number times 3
C. Some number divided by 3
D. 3 less than some number

Answers

the y represents "some number," so in this case some number divided by three is the right answer
the correct answer is, some divided by 3

a basketball court is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. What is the width and length of the basketball court?

Answers

if you do 1040-400 you get 640
then you need to divide that by 4 to get 160 leaving you with the width, to get the length you have to add 200 to the width meaning the length is 360

length = 360
width = 160
Length = width + 200

[tex]x + x + x + 200 + x + 200 = 1040 \\ 4x + 400 = 1040 \\ 4x = 640 \\ x = 160[/tex]
Length = 160 + 200 = 360 feet

Answer :
Width = 160 feet,
Length = 360 feet

Hope this helps. - M

PLEASE HELP ASAP!
A probability close to _ indicates a chance event is most likely to occur.
A. 0
B. 1
C. 5
D. 10
E. 1000

Answers

The answer is E-1000


B. 1
The probability of any event cannot be greater than 1.

How is the graph of y= 1/3x related to its parent function y=1/x

Answers

Vertical contraction: g (x) = k · f (x)
 When you multiply the y coordinate of the original function f (x) by a constant k:
 If 0 <k <1, the function contracts on the y axis
 We have then:
 y = k * (1 / x)
 Where,
 k = 1/3
 y = (1/3) * (1 / x)
 y = 1/3x
 Answer:
 the function contracts on the y axis

A quality control officer randomly checking weights of pumpkin seed bags being filled by an automatic filling machine. Each bag is advertised as weighing 400 grams. A bag must weigh within 2.1 grams in order to be accepted. What is the range of rejected bag, x, for the bags of pumpkin seeds?
A. 397.9 B. x < 397.9 and x > 402.1
C. x < 400.0 and x> 402.1
D. 400.0 > x < 402.1

Answers

from 0g to 494.7g are rejected as well as those heavier than 505.3grams.

You calculate this by subtracting and adding 5.3 to 500
Answer:

Option: B is the correct answer.

    B. x < 397.9 and x > 402.1

Step-by-step explanation:

It is given that:

Each bag is advertised as weighing 400 grams.

Also, a  bag must weigh within 2.1 grams in order to be accepted.

Hence, for the bag being accepted the weight must be no less than 2.1 gram from 400 gram and should be no more than 2.1 gram from 400 grams.

i.e. the weight of the bag must be such that:

               400-2.1≤ x ≤ 400+2.1

i.e.

              397.9 ≤ x ≤ 402.1

Hence, if the weight of the bag is less than 397.9 grams or is more than 402.1 grams then the bag will be rejected.

i.e. The range for the bag being rejected is: x<397.9 grams and x>402.1 grams.

The mean of 4 numbers is 22. What would the new mean be if the number 18 is added to the data set?
A. 17.2
B. 40
C. 21.2
D. 26.5

Answers

The new mean would be C: 21.2
How do you find the mean? You add the numbers up and divide by the amount in the set. So, we have to go backwards. Since we divided, we need to multiply 4 by 22. You get 88. Now add that new number of 18 to 88 to get 106. Now there are 5 numbers in the set so you divide 106 by 5 to get 21.2. So the answer is C. 21.2! Hope this helps!

which expression is equivalent to 2(-3x + 5)?

Answers

2(-3x + 5)
expand by using distributive property
= -6x + 10

answer
-6x + 10  is equivalent to 2(-3x + 5)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

therefore ans:

10 - 6x

Step-by-step explanation:

Use these functions to answer the questions.
f(x)=(x+3)2−1
g(x)=−2x2+8x+3
h(t)=−16t2+28t
Part A What are the x- and y-intercepts of the graph of the function f(x)? Identify the coordinates of any maxima or minima of the function. Explain your answers. Part B Write the function g(x) in the form y=a(x−h)2+k . Write the equation for the line of symmetry for the graph of g(x). Show all your work and explain your answer. Part C The function h(t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time,

Answers

Part A
We have [tex]f\left(x\right)=\left(x+3\right)^2-1[/tex]. To solve for the x-intercept, we set f(x) equal to 0.  That is
     [tex]\left(x+3\right)^2-1=0[/tex]

     [tex]\left(x+3\right)^2=1[/tex]

Take the square root of both sides, 
     [tex]x+3=1[/tex]

     [tex]x=-2[/tex]

The x-intercept is (-2,0). 

To solve for the y-intercept, we set x=0. That is 
     [tex]y=\left(0+3\right)^2-1=3^2-1=9-1=8[/tex]

The y-intercept is (0, 8) 

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have [tex]g\left(x\right)=-2x^2+8x+3[/tex].
Factor out -2
     [tex]=-2\left(x^2-4x\right)+3[/tex]

Complete the square
     [tex]=-2\left(x^2-4x+4\right)+3-2\left(4\right)[/tex]

Simplify
     [tex]g(x)=-2\left(x-2\right)^2-5[/tex]

Part C
We have [tex]h\left(t\right)=-16t^2+28t[/tex].
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo. 
     
    

A glass of water was one eighth of a liter. How many glasses would it take to fill up a 3 liter jug

Answers

Final answer:

It would take 24 glasses to fill up a 3 liter jug.

Explanation:

To fill up a 3 liter jug, we need to determine how many glasses of water, each measuring 1/8 of a liter, would be required.

First, we need to find the number of glasses in 1 liter. Since 1 liter is equivalent to 8 glasses (1/8 * 8 = 1), we can divide 3 liters by 1/8 liter to find the number of glasses for 3 liters.

3 liters is equal to 3 / (1/8) = 3 * 8/1 = 24 glasses. Therefore, it would take 24 glasses to fill up a 3 liter jug.

Kelly has 236 feet of fence to use to enclose a rectangular space for her dog. She wants the width to be 23 feet. Draw a rectangle that could be the space for Kelly's dog. Label the length and the width.

Answers

perimeter = 236 ft

length=?

p= 2l+2w

236=2l+2(23)

236=2l+46

190=2l

l= 95ft



Final answer:

To create the space for Kelly's dog, a rectangle with a length of 118 feet and a width of 23 feet should be drawn.

Explanation:

To draw a rectangle that could be the space for Kelly's dog, we need to consider the given information. Kelly has 236 feet of fence to use, and she wants the width to be 23 feet.

Since the opposite sides of a rectangle are equal in length, we can divide the total amount of fence by 2 to determine the length of each side. 236 feet / 2 = 118 feet.

So, the rectangle that could be the space for Kelly's dog would have a length of 118 feet and a width of 23 feet.

find by completing the square

Answers

[tex]y=ax^2+bx+c\\\\y=a(x-h)^2+k\ where\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(b^2-4ac)}{4a}[tex]y=-3x^2+7x-5\\\\a=-3;\ b=7;\ c=-5\\\\h=\dfrac{-7}{2\cdot(-3)}=\dfrac{7}{6}\\\\k=\dfrac{-(7^2-4\cdot(-3)\cdot(-5)}{4\cdot(-3)}=\dfrac{-49+60}{-12}=-\dfrac{11}{12}\\\\y=-3\left(x-\dfrac{7}{6}\right)^2-\dfrac{11}{12}[/tex]


Robin tosses two number cubes 100 times and get a pair of 3s 18 times. What is the probability that she will roll a pair of 3s on her next toss?

Answers

She tossed he dice 100 time and landed on 3s 18 so it would be:
-
18/100
Then you can reduce it to:
-
9/50
Or are a percent:
-
18%
-
So the probability of her rolling 3s would be 18%

Are these two triangles similar? How can you tell?

Answers

Yes, they are similar.

The minimum requirement for similarity is that 2 angles in one triangle are equal to 2 angles in another triangle. If the triangles are congruent it is a pure accident. 

Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1, and the average expenses incurred on accidents is $38,000. The insurance plan has a yearly premium of $1,000 and a deductible of $4,000.
If after 4 years of insuring 100 people, 9 motorcycle drivers had an accident, where does the company stand after money has been taken in and paid out for this group of 100 insured people?

$85,500
-$36,000
$94,000
$58,000

Answers

It's $94,000
 
1,000 X 100 X 4 = 400,000

Answer:

The correct option is $94,000

Step-by-step explanation:

Yearly premium under the insurance plan = $1,000

Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000

Number of people insured = 100

Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000

Average expenses incurred on accident = $38,000

Deductible = $4,000

Net expenses incurred per accident = $38,000 - $4,000 = $34,000

In 4 years , 9 motorcycle drivers had an accident

Total expenses incurred for accident = $34,000 * 9 = $306,000

Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000

Hope it helps.

Thank you !!

Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error and the correct experimental probability?


HERE IS THE CHART

| pages       | 6th | 7th | 8th| {Grades}

| 75 pages   | 24 | 18 | 22 |

| 100 pages | 22 | 32 | 24 |

| 150 pages | 30 | 53 | 25 |

Answers

The correct probability is 85/103.  Her errors were that she only took the number of 7th grade students that read 100 pages per week; she did not include the number of students that read more than that, and she wrote the denominator of the probability as the number of pages read instead of the total number of seventh grade students.

32 seventh grade students read 100 pages per week.  53 students read 150 pages per week.  This is out of 18+32+53=103 seventh grade students.  This gives us 32+53=85/103.

Jennie incorrectly calculated the experimental probability of a 7th grader reading at least 100 pages per week. The correct calculation is the sum of 7th graders who read 100 and 150 pages, divided by the total number of 7th graders, resulting in an experimental probability of 85/103.

Jennie's error lies in calculating the experimental probability that a 7th grade student reads at least 100 pages per week incorrectly. To find the correct experimental probability, we need to add the number of 7th graders reading 100 pages and those reading 150 pages, then divide by the total number of 7th graders. According to the chart, 32 read 100 pages and 53 read 150 pages. The total number of 7th graders is the sum of students reading 75, 100, and 150 pages, which is 18 + 32 + 53 = 103. So, the correct experimental probability is (32 + 53) / 103 = 85 / 103.

The radius of the earth's orbit is 45,000,000 meters. What is the number in scientific notation?

A) 4.5 x 10-7
B) 4.5 x 107
C) 45 x 10-6
D) 45 x 106

Answers

The answer is 4.5 × 10^7
I would say C because if u move the decimal to the right 7 places, you would get 45,000,000

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The area of the base of the regular quadrilateral pyramid is 36 cm2 and the area of a lateral face is 48 cm2. Find Lateral area of the pyramid which of the following is equal to the rational expression....... which numbers are rational numbers 2, -4.0, 8.1, 3/4, 0, -8 Which tactic did Palestinians use against Israel in 1987 See the picture to answer the question the solid line is the results obtained when no catalyst was used and the broken line is the results obtained when a catalyst was used .how much energy must the system absorb for the reaction to start if no catalyst was used? what were the causes and effects of the protestant reformation ____ is a form of vigorous physical activity. strength training yoga aerobic dancing static stretching Why should Internet sources be limited?The Internet has mostly ads and so is not useful. Your research should mostly come arguments in journals. Your research should contain variety. The Internet may provide inaccurate information.(chose all that applies) A certain arithmetic sequence has the following explicit formula for the nth term: an = 3 + (n - 1)(8) The same sequence has the following recursive formula: an = an-1 + _____ What number belongs in the blank space in the recursive formula? A.5 B.3 C.8 D.24 Shannon has been a member of her schools newspaper club for 2 years and attends writing workshops in her free time. Which career choice should she explore Use the Change of Base Formula to evaluate log3 58. Then convert log3 58 to a logarithm in base 4. Round to the nearest thousandth. Which statement represents Chief Justice Earl Warren's explanation for the Supreme Court's ruling in Brown v. Board of Education?A. States should have the right to organize their own schoolsB. All citizens have the right to public education and should have equal access to it.C. Segregation is not unlawful as long as all options are equivalent.D. Race is no longer an important factor in individuals' lives write the equations for the basic absolute value equation y=|x-h|+k under the given transformations:1. shift 1 unit to the right and up 2 units2. shift 3 units to the left and 7 units down3. vertical shrink by a factor of 1/34. vertical stretch by a factor of 3 What is the difference between a Direct Democracy and a Representative Democracy (a Republic)? Why have countries such as France and China instituted language controls? To protect their national language and heritage To discourage immigrants from coming to those countries To promote cultural diffusion within the language To erase traces of imperialism within the nation Use the given information to find the amount aa in the account earning compound interest after 6 years when the principal is $3500. r=2.16%r=2.16%, compounded quarterly the amount after 6 years is $ . create a newspaper headline to show how most northerners reacted to the events at fort sumner in charleston, south carolina The rock n' roll of elvis presley, jerry lee lewis, and the rolling stones derived primarily from A body of water, located near Fresh Kills, is highly polluted because rain washes toxic materials from Fresh Kills into the water. This process is known as _____. leaching decomposing compacting ventilating why do many psychotherapist feel that the term mental illness may be doing more harm than good