On a number line, which fraction is between 1/4 and 1/5?

Answers

Answer 1

Answer:

7/32

Step-by-step explanation:

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To find a fraction between 1/4 and 1/5:

1. Make common denominators with both fractions. The larger the common denominator, the more you will find.

2. Choose any fraction between 1/4 and 1/5. That fraction will be in between 1/4 and 1/5.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

[tex]\dfrac{1}{4}\ \text{and }\dfrac{1}{5} \ \rightarrow \ \dfrac{1 \times 40}{4 \times 40} \ \text{and} \ \dfrac{1 \times 32}{5 \times 32} \ \rightarrow \ \dfrac{40}{160} \ \text{and} \ \dfrac{32}{160}[/tex]

Now, you may choose any fraction between 40/160 and 32/160.

My chosen fraction is 35/160, which when simplified, gives 7/32.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer 2

Answer:

[tex]\dfrac{9}{40}[/tex]

Step-by-step explanation:

Subtract 1/5 from 1/4, divide by 2, then add to 1/5:

[tex]\implies \dfrac{\frac14-\frac15}{2}+\dfrac15[/tex]

[tex]\implies \dfrac{\frac{5}{20}-\frac{4}{20}}{2}+\dfrac15[/tex]

[tex]\implies \dfrac{\frac{1}{20}}{2}+\dfrac15[/tex]

[tex]\implies \dfrac{1}{20} \times \dfrac12+\dfrac15[/tex]

[tex]\implies \dfrac{1}{40}+\dfrac15[/tex]

[tex]\implies \dfrac{1}{40}+\dfrac{8}{40}[/tex]

[tex]\implies \dfrac{9}{40}[/tex]

On A Number Line, Which Fraction Is Between 1/4 And 1/5?

Related Questions

According to the line plot, how many tadpoles were measured?
10 tadpoles
3 tadpoles
4 tadpoles
9 tadpoles

Answers

Answer:

10 Tadpoles were mesured in the line plot

Answer:

10 tadpoles

Step-by-step explanation:

look at the diagram

count the x's

you get your answer

Solve for m

[tex]n=\frac{4}{5} (m+7)[/tex]

Answers

[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]

The answer is M=5n/4 -7

The coffee variety Arabica yields about 750 kg of coffee beans per hectare, while
Robusta yields about 1200 kg per hectare. Suppose that a plantation has a
hectares of Arabica and r hectares of Robusta.

a. Write an equation relating a and r if the plantation yields 1,000,000 kg of coffee.

b. On August 14, 2003, the world market price of coffee was $1.42 per kg of Arabica
and $0.73 per kg of Robusta. Write an equation relating a and r if the plantation
produces coffee worth $1,000,000.

Answers

Answer:

See below

Step-by-step explanation:

a)

Arabica coffee = 750aRobusta coffee = 1200r

The total amount coffee beans

750a + 1200r = 1000000 kg

b)

The total amount of market price

1.42*750a + 0.73*1200r = 1000000 ⇒1065a + 876r = 1000000 dollars

Answer:

a)   750a + 1200r = 1000000

b)   1065a + 876r = 1000000

Step-by-step explanation:

Define the variables:

Let a = number of hectares of Arabica beansLet r = number of hectares of Robusta beans

Part (a)

Given:

Arabica coffee = 750 kg beans per hectareRobusta coffee = 1200 kg beans per hectare

If the plantation yields 1,000,000 kg of coffee:

⇒ 750a + 1200r = 1000000

Part (b)

Given:

Arabica beans = $1.42 per kgRobusta beans = $0.73 per kg

If the price of Arabica beans is $1.42 per kg, and Arabica yields about 750 kg per hectare, then the price per hectare of Arabica coffee beans is:

⇒ $1.42 × 750 = $1065 per hectare

If the price of Robusta beans is $0.73 per kg, and Robusta yields about 1200 kg per hectare, then the price per hectare of Robusta coffee beans is:

⇒ $0.73 × 1200 = $876 per hectare

Therefore, if the plantation produces coffee worth $1,000,000:

⇒ 1065a + 876r = 1000000

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22. if the manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties, how much will the replacement costs be? a. $4,258,856 b. $3,681,384 c. $1,191,036 d. $6,749,204

Answers

The cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

What is percentage ?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

A vacuum cleaner costs $68, and the full-replacement extended warranty costs $22.

The manufacturer sells 360,920 vacuum cleaners under warranty and must replace 15% of them to honor the warranties. Thus, the number of vecuum cleaner replaced by manufacturer is,

[tex]n=\dfrac{15}{100}\times360,920\\n=54138[/tex]

The cost of one vacuum cleaner is $68. Thus the cost of 54138 vcacuum cleaner is,

[tex]C=54138\times68\\C=3681384[/tex]

Hence, the cost of the 15 percent of replaced vacuum cleaner which are sold under warranty is $3,681,384. Option b is correct.

Learn more about the percentage here;

https://brainly.com/question/24304697

Hello everyone i need help with the following question?

If x=3 and y=67

what is 6x × 8y + 27x - 6y + 3= ​

Answers

Answer:

9330

Step-by-step explanation:

6x × 8y + 27x - 6y + 3 = 18 × 536 + 81 - 402 + 3 =

9330

Answer:

The answer is 9330

Hope it helps

✧GHOSTOFSPARTA✧

I’m don’t have much points please help

Answers

~Denki Kaminari here~

Answer:

JGH

Step-by-step explanation:

it can be proven because there is the measurement of "P".

hope this helps :D

James is participating in a 8-mile walk to raise money for a charity. He has received $600 in fixed pledges
and raises $11 extra for every mile he walks. Use a point-slope equation to find the amount he will raise if
he completes the walk.
If he finishes the race, James will raise

Answers

Answer:688

Step-by-step explanation:600+(11x8)=x

x=total

600+88=x

x=688

Lindiwe is twice as old as Preeya and six years older than Sue . Their combined ages total 39 years . How old is Lindiwe

Answers

Answer:

Lindiwe is 18

Step-by-step explanation:

Lindiwe  = L

Preeya = L/2

Sue = L-6

Their combined ages total 39 years

L+(L/2) + L-6 = 39

2.5L = 45

L=18

       Lindiwe=18

       Preeya= 9 (half of Lindiwe)

        Sue = 12 (6 lessthan Lindiwe)

18+9+12 = 39

   

What is the volume, in cubic in, of a cylinder with a height of 8 in and a base radius of
2 in, to the nearest tenths place?

Answers

Answer:

V=100.5

Step-by-step explanation:

hopes this helps

How do you evaluate a geometric series?

Answers

To find the sum of a finite geometric series, use the formula, Sn=a1(1−rn)1−r,r≠1 , where n is the number of terms, a1 is the first term and r is the common ratio .

hope it helps...!!!

x^2-8x+16=3 solve using square roots

Answers

Answer:

x = 4 ± [tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x + 16 = 3 ← the left side is a perfect square

(x - 4)² = 3 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{3}[/tex]

Please help me on this it’s due now

Answers

Answer:

I don't understand the question

The first steps in writing f(x) = 3x2 – 24x 10 in vertex form are shown. f(x) = 3(x2 – 8x) 10 (startfraction negative 8 over 2 endfraction) squared = 16 what is the function written in vertex form? f(x) = 3(x 4)2 – 6 f(x) = 3(x 4)2 – 38 f(x) = 3(x – 4)2 – 6 f(x) = 3(x – 4)2 – 38

Answers

The given quadratic equation 3x^2 – 24x + 10 can be written in vertex form that is f(x) = 3(x – 4)2 – 38.

What are quadratic equations?

A quadratic equation is an equation of degree 2 and the standard form of a quadratic equation [tex]ax^{2} +bx+c[/tex] where x is the variable and a,b, c are real numbers.

Following the steps already shown to transform the given function into the vertex form,

[tex]f(x) = 3(x^{2} - 8x + 16) + 10 - 3(16)\\f(x) = 3(x - 4)(x - 4) + 10 - 48\\f(x) = 3(x - 4)2 - 38[/tex]

Therefore, the function written in vertex form is f(x) = 3(x – 4)2 – 38.

Learn more about quadratic equations;

https://brainly.com/question/2263981

Answer:

The answer is D!

Step-by-step explanation:

Please help with this problem.​

Answers

Answer:

whats the problem it doesnt say anything

-
What is the vertex of f(x) = 5x^2 + 20x – 16?

Answers

Vertex is found by -b/2a. A is 5. B is 20. C is -16.
Take -20/(2 times 5)
Which is -20/10
That is -2
-2 is the answer for x coordinate.
Plug -2 into function to get 20+(-40)+(-16)
Which is -36.
So we get (-2, -36)
Mark as the best!

Answer:

(-2, -36)

Step-by-step explanation:

This is written in Standard Form

[tex]f(x)=5x^{2} +20x-16[/tex]

[tex]ax^{2} +bx+c[/tex]

Convert to vertex form.

[tex]f(x)=a(x-h)^{2}+k[/tex]

[tex]f(x)=5(x+2)^{2}-36[/tex]

Find the area of the irregular figure.

Answers

Answer: 432 sq ft.

Step-by-step explanation: I decomposed the figure above into halves where the dotted line is drawn. I multiplied 25 x 10 to find the area of the rectangle on the right, pretending for now that it is a complete rectangle, which equals 250. Then, I subtracted 15 from 25, which equals 10, to find the length of the right triangle that’s missing to make the right half of the decomposed figure a rectangle. Then I multiplied 10 x 10, or 10 to the second power divided by 2 because 10 x 10 would be the formula to find a rectangle, and a right triangle is half of a rectangle so you would divide by 2. 10 x 10 divided by 2 because equals 50. 250 - 50 = 200. Next, you do the same thing for the other half of the irregular figure. I subtracted 4 from 25 to get 21. Then, I multiplied 21 x 16 divided by 2 which equals 168. Now, you multiply 25 x 16 which equals 400. 400 - 168 = 232. 200, the answer for the area of the other half of the decomposed figure, must be added to 232 to find your answer for the total area.

A line passes through the point (-1,-5) and has a slope of -5.
Write an equation in slope-intercept form for this line.

Answers

hello!

We're given a point that the line intersects and its slope.

Let's use Point-slope:-

[tex]\boxed{y-y1=m(x-x1)}[/tex]

y1 = -5

m=-5

x1=-1

[tex]\boxed{y-(-5)=-5(x-(-1)}[/tex]

[tex]\boxed{y+5=-5(x+1)}[/tex]

Convert to slope-intercept:-

[tex]\boxed{y+5=-5x-5}[/tex]

[tex]\boxed{y=-5x-5-5}[/tex]

Finally,

[tex]\bigstar{\boxed{\pmb{y=-5x-10}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Michael bought 4 pairs of socks.
He paid $7.16 after using a $2-off
coupon. Write an equation that can
be used to find the regular price, p,
of a pair of socks.

Answers

Answer:

4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.

Step-by-step explanation:

The information that we know is...

- Michael purchased four pairs of socks.

-  After utilizing a $2 off coupon, he spent $7.16.

We're expected to figure out what formula we should apply to get the standard price of a pair of socks so...

We start by writing 4p.

4 represents a pair of socks, and p represents the normal price of socks.

4p - 2

Then subtract 2 since he utilized a $2 off coupon.

4p - 2 = 7.16

Lastly, add = 7.16 because he paid in total $7.16.

So, 4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.

Hope this helps! :D

Please Help !!! The figure below is made of 2 rectangular prisms.

Answers

Answer:

124

Step-by-step explanation:

4*5*3

+

2*4*8

=124

Formula for volume of a rectangular prism is base x height.

Picture blow………………….

Answers

ANSWER:

e. 4 and 2

f. 1 and 3

g. 5 and 6

h. 7 and 8

Ok done. Thank to me >:3

Multiply
−3/10xy (60xy^6)

[tex]-\frac{3}{10}xy (60xy^{6} )[/tex]

Answers

Answer:

[tex] - 18 {x}^{2} {y}^{7} [/tex]

Step-by-step explanation:

[tex] - \frac{3}{10} xy(60x {y}^{6} ) = - \frac{3}{10} (60) \times x \times x \times y \times {y}^{6} \\ = - 18 {x}^{2} {y}^{7} [/tex]

The yearly profits of a company is $52,000. The profits have been decreasing by 2.75% per year. What
will be the profits in 4 years?

Answers

$46511.65 is the profit after 4 years.

Jori bought $150 worth of a technology ETF that they sold for
$162.60 after one year. What was their return on investment?

Answers

The return on investment is 8.40%

HELPP A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
7
6
Red
Blue
Green
Yellow
Purple
12
19
19
Based on these results, express the probability that the next spin will land on blue as
a fraction in simplest form.

Answers

19/200 I THINK! i am so sorry if i'm wrong...

Answer: 2/21

Step-by-step explanation:

6/63= 2/21

heeeeeeeeeeelllllllllppppppppppppp

Answers

Answer:

88

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height here is 11 and the base is 16

1/2*16*11 = 88 units square

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

A

Step-by-step explanation:

[tex]\frac{4}{5} + \frac{2}{5} = \frac{6}{5} \\Simple make it improper, resulting in answer A[/tex]

Hope this helps!

Express the first 10 terms of a sequence 2,5,8,11 in sigma notation

Answers

Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term

Use the graph to answer the question.

On a coordinate plane, a circle has center (4, negative 1) and radius of 5.

Which equation describes the circle?

(x – 4)2 + (y + 1)2 = 25
(x – 4)2 + (y + 1)2 = 5
(x + 4)2 + (y – 1)2 = 25
(x + 4)2 + (y – 1)2 = 5

Answer: A

Answers

The equation (X-4)2 + (y+1)2 = 25 best describes the circle.

A classic car is completely repainted, taking 120 hours total to finish the job. Using an
8-hour workday, how many days did it take to do the job?

Answers

Answer:

15 days

Step-by-step explanation:

120÷8=15

Are you sure it's high school math?

You are standing at point C, 45 feet from the Point State Park fountain in Pittsburgh, PA. The distance from you to a point of tangency on the fountain is
105 feet. Find the length of AC, the distance between you and your friend at point A.

Answers

The tangent line DC is perpendicular to the radius of the park

The length of AC is 245 feet

How to determine the distance AC?

To calculate the distance AC, we start by calculating the length of AB using:

DC^2 = (BC + AB) * BC

So, we have:

105^2 = (45 + AB) * 45

Evaluate the exponent

11025 = (45 + AB) * 45

Divide both sides by 45

245 = 45 + AB

Rewrite as:

AB + 45 = 245

From the figure, we have:

AC = AB + 45

Substitute AB + 45 = 245

AC = 245

Hence, the length of AC is 245 feet

Read more about line of tangents at:

https://brainly.com/question/6617153

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