Mathematics Middle School

which set of numbers is arranged in order from least to greatest?
a. 0.35, 1/5,2/3,-0.7
b. -0.7, 0.35, 1/5, 2/3
c. -0.7, 1/5, 0.35, 2/3
d. 1/5, 0.35, 2/3, -0.7

Answers

Answer 1
The answer is:  [C]:  -0.7, ⅕, 0.35, ⅔ .
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Explanation:
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Note that in this correct Answer choice "C" given, we have the following arrangement of numbers:
_____________________________________________________
   → -0.7, ⅕, 0.35, ⅔ ; 
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We are asked to find the "Answer choice" (or, perhaps, "Answer choices?") given that show a set of numbers arranged in order from "least to greatest"; that is, starting with a value that is the smallest number in the arrangement, and sequentially progressing, in order from least to greatest, with the largest (greatest) number in the arrangement appearing as the last number in the arrangement.
______________________
Note the EACH of the 4 (four) answer choices given consists of an arrangement with ONLY one negative number, "- 0.7".  Only TWO of the answer choices—Choices "B" and "C"—have an arrangement beginning with the number, "-0.7 ";  So we can "rule out" the "Answer choices: [A] and [D]".
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Let us examine: Answer choice: [B]: -0.7, 0.35, ⅕, ⅔ ; 
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Note: The fraction, "⅕" = "2/10"; or, write as: 0.2 .
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          The fraction, "⅔" = 0.6666667 (that is 0.6666... repeating; so we often               see a "final decimal point" rounded to "7" at some point.
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Through experience, one will be able to automatically look at these 2 (two) fractions and immediately know their "decimal equivalents".
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Otherwise, one can determine the "decimal form" of these values on a calculator by division:
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→ ⅕ = 1/5 = 1 ÷ 5 = 0.2
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→ ⅔ = 2/3 = 2 ÷ 3 = 0.6666666666666667
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For Answer choice: [B], we have:
______________________________
→   -0.7, 0.35, ⅕, ⅔ ; 
_________________________
→ So, we can "rewrite" the arrangement of "Answer choice [B]" as:
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    →  -0.7, 0.35, 0.2, 0.666666667 ;
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    → And we can see that "Answer choice: [B]" is INCORRECT; because
"0.2" (that is, "⅕"), is LESS THAN "0.35".  So, "0.35" should not come BEFORE "⅕" in the arrangement that applies correctly to the problem.
_______________________________________
Let us examine: Answer choice: [C]:  -0.7, ⅕, 0.35, 0.666666667 .
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→ Remember from our previous— and aforementioned—examination of "Answer Choice: [B]" ; that:
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→ ⅕ = 0.2 ;   and:
→ ⅔ = 0.666666667
_______________________
So, given:
____________
→ Answer choice: [C]: -0.7, ⅕, 0.35, ⅔ ; 
______________________
→ We can "rewrite" this given "arrangement", substituting our known "decimal values for the fractions:
______________________________
→ Answer choice: [C]: -0.7, 0.2, 0.35, 0.666666667 ;
_________________________________________
→ As mentioned above, this sequence starts with "-0.7", which is the ONLY negative number in the sequence; as such, the next positive number is correct.  Nonetheless, "0.2" (or, "(⅕") is the next number in the sequence, and is greater than "-0.7". The next number is "0.35. "0.35" is greater than "⅕" (or, "0.2"). Then next number is "(⅔)" (or, "0.666666667").
   "(⅔)"; (or, "0.666666667") is greater than 0.35.
____________________________
This set of numbers: "-0.7, ⅕, 0.35, ⅔" ; is arranged in order from least to greatest; which is "Answer choice: [C]: -0.7, ⅕, 0.35, ⅔" ; the correct answer.
________________________________________________________

Related Questions

37,917,545 please do it in 3 different ways

Answers

Expanded form : 30,000,000 + 7,000,000 + 900,000 + 10,000 + 7,000 + 500 + 40 + 5

Word form: thirty-seven million, nine hundred seventeen thousand, five hundred forty-five

Then lastly standard: 37,917,545

Mr. Gordon weighs 205 pounds . Multiply his earth weight by 0.91 to find out how much he would weigh on the planet Venus. What is the difference between mr. Gordon's earth weight and his weight on Venus

Answers

When you multiply 205 by 0.91 you get 186.55 and 205 minus 186.55 is 18.45

Answer:

18.45

Step-by-step explanation:

8,589 rounded to nearest thousand

Answers

If this were a physics lab, you could get away by rounding to 8000

However since your in middle school, following the rules of rounding, the hundreds place is 5 so we round up to..

"9000"
8 is the thousands place. Look at the digit of the right of it. It is 5.

Is it greater or equal to 5? Yes it is. Round up.

Answer: 9,000

Mark said he can decompose the fraction 5/6 into three fractions with three different numerators. Is this possible? Explain

Answers

yes because he can multiply the fraction and it will equal the same thing

Answer:

Yes possible

Step-by-step explanation:

Given is a fraction 5/6

We are to decompose it into 3 fractions with different numerators

First let us convert 5/6 into equivalent fraction as

[tex]\frac{5}{6} =\frac{1+4}{6} =\frac{1}{6} +\frac{2}{3}[/tex]

Let us break 2/3 into sum of two other fractions

[tex]\frac{2}{3} =\frac{6}{9} =\frac{2}{9}+\frac{4}{9}\\=\frac{2}{9}+\frac{8}{18}[/tex]

Thus we can write

5/6 = 1/6+2/9+8/18

as a sum of 3 fractions with different denominators.

Hence answer is possible.

evaluate n2+n+41 for n=0 1 2 and 3 to find the four prime numbers?

The n2 is an exponent.

Answers

I hope this helps you

tom ate 1/2 of the leftovers. How much pie in all did he eat?

Answers

half. 50% i mean. half of a whole

Answer:

1/4 or one quarter

Step-by-step explanation:

Say a complete pie is represented by a whole or a number 1

Assuming half of the pie was eaten

We have a leftover of 1/2

Now tom ate 1/2 of left over

Which is 1/2 of 1/2

1/2*1/2=

1/4

12.32 divided by 22 estimate the quotient

Answers

12.32/22 is 0.56
0.56 is about 0.6
Your answer is 0.6
12.32 / 22 = 0.56

does that help

A waffle recipe calls for 2 1/4 cups of flour if Chad wants to make 1 and 1/2 times the recipe how much flour does he need

Answers

3 and 3/8 cups of flour

Use the distributive property to find the product of 1/3 x 2 3/4

Answers

(1/3 x 2) + (1/3 x 3/4) = 2/3 + 1/4 (Then find a common denominator: 12) 8/12 + 3/12 = 11/12

what is 1.45×10 -3 in standard form

Answers

Since the exponent is negative and youhave to move the decimal backwards, the answer would be 0.00145
It is 11.5
1.45x10-3

Marcus nan and olive each have 1.65 in their pockets they decide to combine the money how much how much money do they have altogether

Answers

If Marcus has $1.65 and Olive has $1.65, in total they have $3.30. So, if they combine their money they would have $3.30. 
The answer has to be 4.95 because 1.65 x3 is 4.95 and it's asking you if all the three people add it all together

if a soccer field has an area of 27 sq miles and the width is 9 miles what isvthe lenght of the soccer field

Answers

To get area you need to multiply the length and width to find the sq miles of the shape. If you know the sq miles and the width you need to divide to find the length. To do this problem you are going to divide the sq miles (27) by the width (9). Then you will get your answer. 
How it will look in equation form:
27/9=3
The length is 3 miles. 
Hope this helps!

Maria respondeu às 40 questões de um teste e acertou 25 qual a razão

Answers

E a resposta é 40:25 ou 40/25, reduza e você obtém 8/5

Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remaining over time.

What is the equation that represents Emily’s situation?

A. y=−10x+150

B. y=110x+15

C. y = 10x + 150

D. y=−110x+15

Answers

 i belive that it is B. y=110x+15

If one face of a cube has an area of 6 square inches,what is the surface area of the entire cube?
A.) 24
B.) NOT CORRECT
C.) 48
D.) 64

Answers

the picture is of a cuboid, not a cube...
But going by the writing the answer would be 36 square inches as 6x6 is 36 and a cube has six faces
I think the answer is 36 square inches.This is because area of one face s 6 square inches and there are 6 faces so 6*6=36 square inches

Determine if the graphed function is linear or nonlinear.

Select from the drop down menu to correctly complete the sentence.

The graphed function is A or B

A) Linear

B) Non-linear

Answers

It is linear. So A is the answer.
it is linear so it is A

Sarah is researching the connection between the time students spend watching television and their performance in school. Her studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5. Find k, the constant of variation, for this relationship.
A) 0.23
B) 4.29
C) 8.1
D) 52.5

Answers

Answer: D) 52.5

Step-by-step explanation:

The equation for inverse variation between two quantities x and y is given by :-

[tex]k=yx[/tex], where k is the constant of variation, for this relationship. (1)

Given : Sarah studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5.

Then from (1) the constant of variation is given by :-

[tex]k=15\times3.5=52.5[/tex]

Hence, the required answer is option D) 52.5 .

Final answer:

The constant of variation, k, for the inverse relationship between TV time and GPA, where 15 hours of TV results in a GPA of 3.5, is 52.5.

Explanation:

Sarah is researching the connection between the time students spend watching television and their performance in school, finding an inverse relationship between TV time and GPA. For a student who watched 15 hours of TV per week and has a GPA of 3.5, we can determine the constant of variation, k, in this inverse relationship.

The relationship can be represented as GPA = k / TV time. To find k, we plug in the known values: 3.5 = k / 15 hours. To solve for k, multiply both sides by 15: k = 3.5 × 15, which gives us k = 52.5.

Therefore, the constant of variation k for the inverse relationship between the time spent watching TV and GPA is 52.5.

today pamela is on page 195. Fortomorrow's assignment she must read to page 237.ABOUT how many pages does she have left to read

Answers

That would be 42 pages because she has to read 5 pages to get to 200 and then add 37 + 5 which is 42
Merry Christmas to you and your family

The school wants to buy a new speaker system for the football stadium with the money they raised from the bake sale. They compared speaker system prices from two different distributors.

From Schools'R'Us, a system, t, costs $280 less than three times the price of the same speaker system, d, at The Warehouse. The difference in price between the speaker system at Schools'R'Us and The Warehouse is $288.

What system of equations can be used to determine the price of the speaker system at each distributor?

Answers

The system of equations to determine the price of the speaker system at each distributor is t = 3d - 280 and t - d = 288. Solving these equations will give the prices at Schools'R'Us (t) and The Warehouse (d).

To find the price of the speaker system at each distributor, we need to set up a system of equations based on the information provided. Let's denote the cost of the speaker system at Schools'R'Us as t, and the cost of the same speaker system at The Warehouse as d.

According to the problem statement, we have the following relationship between the two prices:
t = 3d - 280. (1)

The difference in price between the two systems is also given as $288, forming the second equation:
t - d = 288. (2)

Therefore, the system of equations that we can use to determine the price of the speaker system at each distributor is:

t = 3d - 280t - d = 288

Solving this system of equations will provide the values for t and d, representing the prices of the speaker systems at Schools'R'Us and The Warehouse, respectively.

b) the cost of another car is 8000. Find the monthly payment when the deposit is 2600

Answers

£8000 = 12 × Monthly Payment + £2600
£8000 - £2600 = 12×MP
£5400 = 12×MP
£5400 ÷ 12 = MP
£450 = MP

Answer:

The monthly payment would be £450.

Step-by-step explanation:

Given formula for the cost of buying a car,

Cost = 12 × monthly payment + deposit,

Here,

Cost of the car = £ 8000,

Deposit = £ 2600,

By substituting the values,

8000 = 12 × monthly payment + 2600

⇒ 12 × monthly payment = 8000 - 2600

⇒ 12 × monthly payment = 5400

⇒ Monthly payment = [tex]\frac{5400}{12}[/tex] = £450

There are some hats in a box. 1/6 of them are red, 1/3 of blue, and 3/7 of the remainder are green. If there are 27 green hats, how many hats are there altogether

Answers

1/6 are red and 1/3 are blue 
that means 1/6 + 2/6 = 3/6 = 1/2 are either red are blue 
3/7 of the remainder is 3/14 of the total 
3/14 x = 27 
x = 27(14/3) = 126 

there are 126 caps 
126 / 6 = 21 are red 
126 / 3 = 42 are blue 
there are 63 left, of which 3/7 are green 
3/7 (63) = 27 ==> 27 green caps 

total of 126 caps

Hope this helps :)
rhere are 30 hats all together

12 + 18x = 22x
heeeellllllpppp

Answers

12 + 18x = 22x   Subtract 18x from both sides
         12 = 4x      Divide both sides by 4
          3 = x         Switch the sides to put the variable on the right
          x = 3

how to round te number 38.14205? thanks•=•

Answers

It would be 38.1 because the # "4" is lower so we keep it the same. :)
finally we learn to reound to tenth place
to round to the tenth palce, check the place befor it

x.yz
y is tenth place
z=hundreth place
if
z≥5, round y up (y+1)
if z<5, round y  down (y)

ok so we have

38.14205
only need till hundreths place
38.14
4<5
round down
1 stays 1
38.1 is rounded

y=2x+4
2x-y= 6

sovle the system of equations using substitution?

A. 2,8
B. 2,-8
C.10,24
D. no solutuin

Answers

It will be D. no solutuin

Colby graphed a scatter plot of student exam scores (y) and the number of hours each student had slept the night before the exam. She drew the trend line and calculated its equation to be y=9/2x + 60. What is the predicted score for a student who slept 6 hours the night before the exam?

Answers

y=9/2•6+60
y=27+60
y=87

To predict the exam score for a student who slept 6 hours, substitute 6 for x in the trend line equation y=9/2x + 60, which calculates to 87.

The question asks to predict the exam score for a student who slept 6 hours before the exam using the given trend line equation y=9/2x + 60. To find the predicted score, we substitute the number of hours (x = 6) into the equation:

[tex]y = {9}/{2}~times ~6 + 60[/tex]

This simplifies to:

y = 27 + 60

So, y = 87

Therefore, the predicted exam score for a student who slept 6 hours is 87.

Compare the decimals 9,135.40 and 9,135.4. Which comparison is correct?

A. 9,135.40 < 9,135.4
B. 9,135.40 > 9,135.4
C. 9,135.40 = 9,135.4

Answers

c they are equal to each other because 9,135.4 is 9,135.40 with out the zero, or they could say it is grater. so C

C is your answer to this problem.

Tyger uses brick which are 7cm tall to build a tower.His final tower is 26 bricks high.How many cm tall is it?

Answers

If the 26 bricks are each 7 cm, seems like multiplication or repeated addition would solve the problem. Multiplication would be faster. 26 x 7 = 182
182 cm tall.
If each individual brick is 7 cm tall, then to get the answer you have to multiply
26 x 7
Because there are 26 bricks that are 7 cm long.
26 x 7 = 182
Hope this helped!

what scale factor is used to create a scale drawing

Answers

The answer depends on how big you want the drawing to be and how big the actual object is. If the object is in feet, for example 7 feet tall then you could do the scale drawing at a 1ft to 1in ration making the drawing 7 inches tall. There are a lot of factors to know in order to figure out the ratio or scale factor you should use when making a drawing.

A scale factor is a dimensionless number used to accurately represent the real-life measurements of an object on a smaller scale in a drawing or model.

The scale factor is used to create a scale drawing is a dimensionless number which represents the ratio of the drawing's dimensions to the actual dimensions of the object. For example, if the scale factor is 1:50, this means that 1 unit in the drawing is equal to 50 units in real life.

When creating a scale model, map, or drawing, you use the scale factor to accurately represent larger objects on a smaller, manageable scale. You would multiply the real measurements by the scale factor if you're scaling down, or divide the drawing measurements by the scale factor if you're scaling up.

Teresa sold t-shirts at a festival and made a profit of $75. She made $4 for each t-shirt she sold. Her total expenses were $25. How many t-shirts did she sell?

Answers

She sold 25 t-shirts cuz she made $75 and spent $25 which means she sold $100 worth of shirts which divided by $4 a piece is 25 t-shirts.

What is 4 x 8 help please

Answers

32 is your answer because 8+8+8+8=32

The answer is thirty-two.
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