What fraction lies exactly halfway between
1/2 and 2/3

Answers

Answer 1

Answer:

[tex]\dfrac{7}{12}[/tex]

Step-by-step explanation:

Method 1

convert the fractions so that their denominators are 12:

[tex]\dfrac12=\dfrac{1 \times 6}{2 \times 6}=\dfrac{6}{12}[/tex]

[tex]\dfrac23=\dfrac{2\times4}{3\times4}=\dfrac{8}{12}[/tex]

From inspection, we can determine that the fraction that lies exactly halfway between [tex]\dfrac{6}{12}[/tex] and [tex]\dfrac{8}{12}[/tex] is [tex]\dfrac{7}{12}[/tex]

Method 2

Find the difference between the fractions and divide by 2:

[tex]\dfrac{\dfrac23-\dfrac12}{2}=\dfrac{1}{12}[/tex]

Add this to the smallest fraction (1/2):

[tex]\dfrac12+\dfrac{1}{12}=\dfrac{7}{12}[/tex]


Related Questions

The circumference of a circle is 20 cm. What is the approximate radius of the circle?

1.5 cm

3.2 cm

7.0 cm

8.5 cm

Answers

Answer:

3.2 cm

Step-by-step explanation:

This is the answer becuase when doing the math you get 3.1831cm but rounded you get basically 3.2cm

what is 5/6 ÷ 10/21 (show ur work)

Answers

Answer:

105/61 is the answer for 5/6 ÷ 10/21

What is the difference between the mean absolute deviation (MAD) for data set A and B?
Data set A 10, 9, 3, 8, 10
Data set B 5, 11, 2, 7, 16

Round your final answer to the nearest tenth.

the awnser choices
2.2

0

14

10

Answers

Answer:

0

Step-by-step explanation:

for A

10+9+3+8+10

=40/5

=8

for B

5+11+2+7+16

=41/5

=8.2

difference between A and B

8.2-8

=0.2

approximately

=0

3 tomatoes cost $1.29

How much will 5 tomatoes
cost?

Answers

Answer:

$2.15

Step-by-step explanation:

Since 3 Tomatoes cost $1.29

Then let's first find how much is 1 Tomatoes.

To do that we have to divide Cost by # of Tomatoes

3/1.29 = 0.43

Thus, 1 Tomatoes Cost 0.43

Now, the question is: How much will 5 tomatoes cost?

Therefore, 0.43 * 5 =2.15

Hence, 5 Tomatoes cost $2.15

[RevyBreeze]

arrange the following in descending order. 1. 56, 0.56, 15.6 1.65

Answers

Answer:

15.6, 1.65, 1.56, .56

Step-by-step explanation:

it is just greatest to least

This is the graph of f(x). What is the value of f(2)?
A. 2
B. 16
C. 8
D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

x=2, y=4 on the graph

Therefore, f(2)=4

~

Hope this helps!

Sabendo que 1 UA = 1,496 .10^11 metros e que a distância média entre a Terra e a Lua é 384 400 000 metros, podemos afirmar que essa distância em unidades astronômicas é: *
3,8917 x 10^(-2) 2,5695 x 10^(-3) 3,8917 x 10^2 2,5695 x 10^3

Answers

Answer:

The answer would be a because I checked my work and it shows to be A

i hope this work for you

and sory if im wrang

What is the slope of the line that is perpendicular to the line that goes through the two points (-8, 3) and (4, 27)?
m= lype youiſ answer

Answers

Answer:

-1/2 or -0.5

negative half

Step-by-step explanation:

slope of regular line= (y1-y2) / (x1-x2)

(27-3) / (4 - -8)

24 / (4+8)

24 / 12 = 2

the slope of a perpendicular line is the negative reciprocal

the negative reciprocal of positive 2/1 (2 as a fraction) is:

negative half: -1/2 or -0.5

HELP DUE IN 20 minsThe construction worker works for $5.50 per hour, but he does not get paid for his lunch time. He spent 3.8 hours for one onsite task, 1.3 hours for lunch and 4.4 hours on another on-site task yesterday. How much would the construction worker be paid?

Answers

Answer:

32.45

Step-by-step explanation:

answer quick please!

Answers

Answer:

B and C

Step-by-step explanation:

AND SHE SAID SHE SAID SHES FROM HAWAI ‍♀️DO U KNOW HOW TO ‍♀️SAY CUTE IN JAPANESE "KAWAII"

I am really stuck on this question help me please

Answers

Answer: B

Step-by-step explanation:

The answer is Figure 4  See the 3 blocks pointing down.

Gabriella needs 120 meters of fence to surround a rectangular garden.
The length of the garden is three times its width, w.
How wide is the fence?

Answers

To fence a rectangular garden, we need to fence the length 2 times, and the width 2 times.

So, it will take 120 : 2 = 60 meters of fence to fence 1 length and 1 width

-> The length = 60 : (3+1)x3 = 45 (meters)
-> The width = 60 - 45 = 15 (meters)

Recheck : (45+15) x 2 = 120 and 45:15 = 3


(If it's wrong you can tell me, I don't really know what do you mean by how wide is the fence)

The width of the rectangular garden, for which Gabriella needs 120 meters of fence to surround it is 15 units long.

What is the perimeter of a rectangle?

The measure of the boundary of the sides of a rectangle is called its perimeter. The perimeter of a rectangle is twice the sum of its length and width.

[tex]P=2(l+w)[/tex]

Here, (l) is the length of the rectangle and (w) is the width of the rectangle.

Let suppose the length of the garden is l units long. The length of the garden is three times its width, w. Thus,

[tex]l=3w[/tex]

Gabriella needs 120 meters of fence to surround a rectangular garden. This fencing is equal to the perimeter of the rectangular garden. Thus,

[tex]P=2(l+ w)\\120=2(l+ w)[/tex]

Put the value of length from equation 1 to this equation,

[tex]120=2(3w+ w)\\3w+w=\dfrac{120}{2}\\4w=60\\w=\dfrac{60}{4}\\w=15\rm\; units[/tex]

Thus, the width of the rectangular garden, for which Gabriella needs 120 meters of fence to surround it is 15 units long.

Learn more about the perimeter of the rectangle here;

https://brainly.com/question/19819849

A professor compares the number of absences for each student in his class with the student's final grade. The table below lists the absences and grade for each student.

Number of Absences (x) Final Grade (y)
10 55
2 80
7 68
7 65
3 90
6 72
15 38
8 74
1 85
5 80
3 85
4 90

The professor determines that the line of best fit for this data has the equation y=−3.68x+95.25.

Part A:
Explain what the slope of this line means in terms of the context.

Part B:
Explain what the y-intercept of this line means in terms of the context.

Answers

Answer:

Slope is 3.68

Y intercept is 95.25

Step-by-step explanation:

Slope is the rate of increase and it is the number next to X.

Y interecept is when X is 0 so if we put 0 to x we get 95.25

Please mark as brainliest if this helped

help ASAP
x-(-25)=
also if ya'll need help with spanish don't worry im a fluent mexican who

Answers

The answer is x+25
Because if there is two negative it will become a addition

I need HELPPPPP pleaseeeee

Answers

Answer:

$84 per person because if multiply 84 by 4 its 168

84 per person

Step-by-step explanation:

84+84=168

168+84=252

252+84=336

Adele made bookmarks and name tags for her friends. The number of bookmarks she made is 4 times as many as the number of name tags she made. If she made 8 name tags, how many bookmarks did she make?
A.
12
B.
32
C.
40

Answers

Answer:

8 times 4 = 32

Step-by-step explanation:

B. she made 32

the mean of the scores is 90 what is the sum of the scores

Answers

Answer:

x*90= your answer.

Step-by-step explanation:

X being however many test scores there are.

If you have 4 test scores, you would multiply 4*90=360

If you had 3 test scores, you would do it again, 3*90=270.

And so on. Because the test scores number wasn't listed, I provided some answers on how to solve it.

Ben owns an ice cream shop. Last quarter's income was $9,000; his cost of goods was $575, and his total expenses were $5,000.

What is Ben's Gross Profit for the last quarter?

Click this link to open the Business Financials Part 2 Study Guide to view the formula used for this problem!

Type a comma to separate the digits and type the $ symbol when you enter your answer as shown below:

Example: $15,300

Answers

Answer: $8,425

Step-by-step explanation:

•Gross Profit = Income - Cost of Goods

- Ben's Income was $9,000 and his cost of goods were $575.

-Therefore, $9,000 - $575 = $8,425

Find the value of x

Answers

Answer:

23 degrees

Step-by-step explanation:

5: 100 = 2x + 3 + 51

100 = 2x + 54

100 - 54 = 2x

46 = 2x

x = 23 degrees

Answer:

I hope you can understand this

eleven thirds times seven thirds times five thirds

Answers

Answer:

three hundred and eight five twenty sevenths

Darius buys a shirt for $15. 25. The next month , the store increases the price of the shirt to $18. 75. What is the percent increase in the price of the shirt

Answers

Answer:

23%

Step-by-step explanation:

Step 1. Find increase of price amount

18.75 - 15.25 = 3.50

Step 2. Find the percentage increase

- Since we are finding the percent increase, we know that we need to find 3.50 is ____% of 15.25. We can simply do 3.50/15.25, which can be simplified to approximately 0.23.

- Note that percentage = 100 times decimal

100 x 0.23 = 23

The answer is 23%

Hope this helps :)

Have a nice day!

The only solution of the equation x2 bx 16 = 0 is x = 4. What is the value of b?.

Answers

The value of b for the provided quadratic equation, for which the only solution of the equation is x=4, is -8.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here, (a,b,c) are the real numbers and (x) is the variable.

The given quadratic equation in the problem is,

[tex]x^2 +bx +16 = 0[/tex]

The only solution of the equation is x = 4. Thus, put the value of x in the above equation.

[tex]\begin{aligned}\\(4)^2 +b(4) +16 &= 0\\16+4b+16&=0\\4b&=-32\\b&=-\dfrac{32}{4}\\b&=-8\\\end[/tex]

Thus, the value of b for the provided quadratic equation, for which the only solution of the equation is x=4, is -8.

Learn more about the quadratic equation here;

https://brainly.com/question/1214333

There were 30 multiple-choice problems on the test and he answered 70% of them correctly how many problems did he get right

Answers

Answer:

21 problems right

Step-by-step explanation:

To find the amount of problems he got right, you would have to multiply the amount of questions with the success rate

Amount of questions = 30

Success rate = 70% or 0.70

Amount of questions right = 30 x 0.70

                                            = 21

He got 21 questions right!

If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would gladly appreciate it! :D

Answers:
A.5
B.9
C.10
D.13
Need the answer ASAP

Answers

Answer:

x = 5

Step-by-step explanation:

See attached image.

What is the value of x in this proportion?
Choose one of the choices below



2/7=−5x+3


x=−20 1/2

x=−19

x=−16

x=−14 1/2

Answers

Answer:

  (a)  -20 1/2

Step-by-step explanation:

The proportion can be solved using "cross multiply" as the first step. This eliminates the fractions and turns it into a linear equation.

  2/7 = -5/(x +3) . . . . . given

  2(x +3) = -35 . . . . . . multiply by 7(x +3)

  2x = -41 . . . . . . . . . simplify, subtract 6

  x = -20 1/2 . . . . . . divide by 2

Store E offers a book that Karen wants for 20% off its regular price of $15.00. Store F sells the same book for $15, before a $3.00 mail-in rebate. Where should Karen purchase the book? Explain your reasoning.

Answers

Answer:

Karen should purchase her book from store E because 20% off would be $3 off making it $12 therfore store F would come to a total cost off $18 making it more expensive, meaning that Karen should buy her book from store E

Step-by-step explanation:

:) hope this helpss!

what percent is 20 out of 80?

Answers

Answer:  25%

Step-by-step explanation: brainlest will be nice

Answer:

25%

Step-by-step explanation: IN THE PICTURE

1st picture - Full 2 ways to do this with explanation

2nd picture - First way to do this with explanation

3rd picture - Second way to do this with explanation

THANKS!

simplify (2x-2y)(2y + 8)

Answers

Answer:

=4xy−4y2+16x−16y

Step-by-step explanation:

(2x−2y)(2y+8)

=(2x+−2y)(2y+8)

=(2x)(2y)+(2x)(8)+(−2y)(2y)+(−2y)(8)

=4xy+16x−4y2−16y

=4xy−4y2+16x−16y

Answer:-4y^2+4xy+16x-16y

Step-by-step explanation: Hi there.

For this answer I will show you the FOIL method.

Form: (ax-by)(cy-d)

1. Multiply ax and cy

2x*2y=4xy

2. Multiply ax and d

2x*8=16x

3. Multiply by and cy

-2y*2y=-4y^2

4. Multiply by and d

-2y*8=-16y

Add all of them together and you get:

-4y^2+4xy+16x-16y

Have a nice day! :)

HELP!! 2. in the figure, x is an exterior angle to the triangle below.

a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.

Step 1: __ Step 2: __ Step 3: __

(b) what is the measurement of < x ?

Answers

Answer:

< x = 120°

Step-by-step explanation:

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120

What is the expression for "the sum of 8 times a number and two"?


8 × 2 N

8( N + 2)

8 N + 2

Answers

Answer:

8 N + 2

Step-by-step explanation:

==> 8 N + 2

-----------_________-------------

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