Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches

Answers

Answer 1

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3


Related Questions

Use the distributive property to remove the parentheses.
9(6-v)

Answers

Answer:

[tex]54-9v[/tex]

Step-by-step explanation:

To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.

[tex]9(6-v) = 9(6) +9(-v)[/tex]

[tex]=54-9v[/tex]

Hope this helps :)

What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)

Answers

The required value of  θ  for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.

What are trigonometric functions?

The  basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.

The given equation is,

cos(θ)=sin(θ/3-10)          (1)

To find the value of θ,

Change the whole equation into one trigonometric function,

Since, cos(θ)=sin(90-θ)

Substitute this value in equation (1)

sin(90-θ)=sin(θ/3-10)

⇒90-θ=θ/3-10

⇒4θ/3=80

⇒θ=60

The value of θ is 60°.

To know more about Trigonometric Function on:

https://brainly.com/question/15768633

#SPJ2

There are 60 students in a classroom, 50% of the students are
boys. 30% of the boys and 60% of the girls want to buy the
new textbook. How many students want to buy the new
textbooks?
___ students

Answers

Answer:

28

Step-by-step explanation:

If 50% of students are boys that means there are 30 boys and 30 girls. Then if   30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.

Rip king Von pop smoke quando rondo timmie and yea


Points and brainlest help me out on my question !!

Answers

Answer:

RIP to all those kings!!

Step-by-step explanation:

The length of a rectangle is (2x+3) and the width is x-5. If the perimeter is 44cm what is the length of the rectangle?

Answers

Perimeter = 2x length + 2x width.

2(2x+3) + 2(x-5) = 44

Simplify:

4x + 6 +2x -10 = 44

Combine like terms:

6x -4 = 44

Add 4 to both sides:

6x = 48

Divide both sides by 6:

X = 8

Now replace x with 8 in the equation for length:

2x + 3 = 2(8) +3 = 16 + 3 = 19 cm

Length = 19 cm

if i have 1000 dollars and lose 1000 dollars how much do i have left 100 points

Answers

The mathematical answer would happen to be... 0

Answer:

0

Step-by-step explanation:

10. Anna divided integer A by -3 and got 8. Then she divided 8 by integer B and got -4. Find the quotient of integer A and B. I talling 2020​

Answers

Answer:

cant help uu :(

Step-by-step explanation:

Teresa plans to attend college in 3 years. She will need $13,600 for the first-year cost. Her uncle gave her a special gift of $10,000 to use toward the cost. How much must Teresa save each month to have enough for the first-year cost?

Answers

Answer:

100$ per month

Step-by-step explanation:

find the area of a circle that has a radius of 7/10 cm. use 22/7 for pi

Answers

Answer:

77/50 ≈ 1.54

Step-by-step explanation:

A=πr²

A = (22/7)(7/10)²

A = 77/50

A ≈ 1.54

PLEASE MARK IT AS BRAINLIEST

lol suisitctftf ysyajwnw yakahad gwhnqga

Answers

im not sure what this is, or how to answer it

After 10 years, the principal on this mortgage is $136,683. How much of the next payment will go towards interest ​

Answers

Answer: 13,668 i think.

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

Answers

Answer:

The correct option is a. Amy’s balance would be greater than Hank’s in the end.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

a. Amy’s balance would be greater than Hank’s in the end.

b. Amy’s balance is $5,142 and Hank’s balance is $3,207.

c. Hank’s balance would be greater than Amy’s in the end.

d. The investment and balance would be the same.

e. None of these are true

The explanation to the answer is now given as follows:

The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where;

For Amy:

FV = Future value or balance in the end = ?

M = Monthly investment = $500

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 40 years * 12 months = 480

Substituting the values into equation (1), we have:

FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)

FV = $500 * 1,991.49

FV = $995,745.37

Therefore, Amy’s balance would be $995,745.37 in the end.

For Hank:

FV = Future value or balance in the end = ?

M = Monthly investment = $1,000

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 20 years * 12 months = 240

Substituting the values into equation (1), we have:

FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)

FV = $1,000 * 462.04

FV = $462,040.90

Therefore, Hank’s balance would be $462,040.90 in the end.

Conclusion

Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.

Solve for X.
8=5
X 9

Answers

Answer: x = 14.4

Step-by-step explanation:

Answer:

x = 14.4

Step-by-step explanation:

8/x = 5/9     just cross multiply

5x = 8(9)

x = 72/5     divide 5 both sides

x = 14.4

Sales of video games and consoles fell from $1.15 million to $1.03 million in 1 year. Find the percent decrease.

Answers

Answer:100 times 7

Step-by-step explanation: because

What is the domain of the relation?
✔ -4<=x<=6

What is the range of the relation?
✔ -4<=y<=4

Is the relation a function?
✔ yes


here are all the answers

Answers

Answer:

thx for ur help

It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?

Answers

Probability of students having their own vehicle

= 2/10

= 1/5

anybody understand this ? please help me .

Answers

Answer:its a or b

Step-by-step explanatio

Answer:

The answer is (2)

Step-by-step explanation:

We know that to the distance between two numbers on a number line, we subtract the smaller number from the larger number. For instance, the difference between [tex]5[/tex] and [tex]3[/tex] is simply [tex]5-3[/tex], which is [tex]2[/tex]. With that being said, variables such as [tex]p[/tex] or [tex]q[/tex] differ from a question to another. Sometimes, the [tex]p[/tex] is larger, but sometimes the [tex]q[/tex] is. If we don’t know which one is which, we can subtract them in any order and take the absolute value of that result. If the result of subtraction is positive, great! The absolute value of that is still positive ([tex]5-3=2\\|5-3|=2[/tex]) If it’s not, now it is! (e.g., [tex]|3-5|=2[/tex]! Therefore, the answer is (2) [tex]|p-q|[/tex].

For every left-handed person, there are about 4-right handed people. If there are 30 students in a class, predict the number of students who are right-handed.

Answers

Answer:

There are 24 right handed students

Step-by-step explanation:

This is a ratio question so it would be represented as 1:4.

First you would do 1 + 4 which is 5.

Then do 30 ÷ 5 which is 6.

Finally multiply 6 by 4 and 1.

So 6 × 4 × 1 is 24.

So there are 24 students who are right handed.

Hope this makes sense!

Can you help with the 2 that are not correct?

Answers

Answer:

MPO=MNO

NPO=MNP

Step-by-step explanation:

MPO=MNO because MPO opposite angles of a parallelogram are congruent.

MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.

NPO=MNP because they are alternate interior angles.  (If you don't understand what that means I can come back and explain it)

Find the area of the shape shown below

Answers

Answer:

18 MARK AS BRAINLIEST OR ELSE!!!!

Step-by-step explanation:

area = 1/2h(sum of bases)

area = 1/2x3(3+9)

area = 1/2 of 36

area = 18

Convert 86 to base 5.

Answers

Answer:

321

Step-by-step explanation:

Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.

How to convert any number into base 10?

To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.

After it, we need to add it. It will give us a number of the 10 bases.

Conversion of any 10 base number into base 5

To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.

Converting 86 to base 10

⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]

86₁₀

Converting 86₁₀ into 86₅

When the number 86 is converted in a base of 5 will be (321)

Since we need to go down to up to 321₅ will be the correct answer.

For more information about decimal to base 5

https://brainly.com/question/17247748

#SPJ5

Find the Surface Area:
Of the picture below


6cm
3 cm
3 cm
2 cm

Answers

Answer:

72 cm^2 OR 72 sq cm.

Step-by-step explanation:

6 x 5 = 30

10 x 3 = 30

2 x 6 = 12

30 + 30 + 12 = 72

Sorry, i don't exactly know how to explain it without drawing it. But i assure you it is correct.

If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old?

Answers

Answer: 12 years old

Step-by-step explanation:

10,11,12,12,13,13,14

The middle in these numbers is 12

what is 32 divided by 97

Answers

Answer:

0.32989690721

Step-by-step explanation:

Answer:

rounded to the nearest hundred: 0.33

Step-by-step explanation:

hope this helps :3

Michelle works in the mall and her hours increase during busy shopping times of the year. Michelle has a plan to
save $45 each week for 7 weeks, and then increase that amount by $30 for the next 8 weeks during the busy time,
then go back to $45 per week. If Michelle's plan is to save $1185, how many weeks total will she need to save?
Show your work
12
II

Answers

Answer:

The total number of weeks Michelle needs to save is 29.

Step-by-step explanation:

Michelle plans to save $1185 in a number of weeks to determine later.

In the first 7 weeks, she will save $45 each week for a total of

$45 * 7 = $315

In the next 8 weeks, she will save $30 each week for a total of:

$30 * 8 = $240

During these 15 weeks, she has saved

$315 + $240 = $555

She still has a remaining $1185 - $555 = $630 to save.

Those $630 will be saved in a number of weeks at $45 per week, thus the number of weeks is:

$630 / $45 = 14 weeks

Total weeks = 15 + 14 = 29

The total number of weeks Michelle needs to save is 29.

Carlos is blowing air into a spherical soap bubble at the rate of 5 cm3/sec.
How fast is the radius of the bubble changing when the radius is 10 cm? (Round your answer to four decimal places.)

How fast is the surface area of the bubble changing at that time? (Round your answer to one decimal places.)

Answers

Answer:

The answer is below

Step-by-step explanation:

a) dV/dt = 5 cm³/s

The volume (V) of the bubble is:

[tex]V=\frac{4}{3} \pi r^3\\\\Differentiating\ with\ respect\ to \ time(t)\\\\\frac{d}{dt}(V)=4\pi r^2 \frac{dr}{dt} \\\\Substituting\ \frac{d}{dt}(V)=5\ cm^3/s \ and\ r = 10\ cm\\\\5 = 4\pi *10^2*\frac{dr}{dt}\\\\5=400\pi *\frac{dr}{dt}\\\\\frac{dr}{dt}=0.004\ cm/s[/tex]

b) The surface area of the sphere (A) is:

[tex]A=4\pi r^2\\\\Differentiating\ w.r.t.\ t:\\\\\frac{dA}{dt}= 8\pi r\frac{dr}{dt} \\\\r=10, dr/dt=0.004\\\\\frac{dA}{dt}= 8\pi *10*0.004\\\\\frac{dA}{dt}=1\ cm^2/s[/tex]

The rate at which the radius of the bubble is changing at that time is [tex]0.0125 \pi cm^2/s[/tex]

The rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

The formula for calculating the volume of a sphere is expressed as;

[tex]V =\frac{4}{3} \pi r^3[/tex]

r is the radius of the sphere

Differentiating the volume with respect to time;

[tex]\frac{dV}{dt} = \frac{dV}{dr} \times \frac{dr}{dt} \\\frac{dV}{dt} = 4 \pi r^2\frac{dr}{dt}[/tex]

Given the following parameters

dV/dt = 5 cm^3/sec.

r = 10 cm

Substitute into the formula to get dr/dt

[tex]\frac{dV}{dt} = 4 \pi (10)^2 \times \frac{dr}{dt}\\5 = 400 \pi \times \frac{dr}{dt}\\ \frac{dr}{dt}=0.0125 \pi cm/s\\[/tex]

The surface area of the bubble is expressed as:

[tex]S = 4 \pi r^2\\\frac{dS}{dt} = \frac{dS}{dr}\times \frac{dr}{dt}\\ \frac{dS}{dt} =8 \pi r \times 0.0125 \pi\\ \frac{dS}{dt} =\pi ^2 cm^2/s[/tex]

Hence the rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

Learn more here: https://brainly.com/question/12663882

Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?

Answers

Answer:

2/11

Step-by-step explanation:

thats the probability

Answer:

2/11

Step-by-step explanation:

Death Valley, located in California, is the lowest place in North America. It is 282 feet below sea level, or -282 feet. The Dead Sea, in Asia, is the lowest place on Earth. It's elevation is approximately 4.82 times the elevation of Death Valley. What is the approximate elevation of the Dead Sea?

Answers

Answer:

1359.24

plz mark brainly

Step-by-step explanation:

What is the measure of CAD

Answers

Answer:

CAD = 128

Step-by-step explanation:

Mr. Abdullah’s new car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons

Answers

Answer:

280

Step-by-step explanation:

Other Questions
(Help)Many of the business trusts created in the late 1800s were eventually declared illegal because theyA) hurt consumers B) hurt the government What is the domain of the function in this table WILL MARK AS BRAINLIEST!!!!! During ______ oxygen defuses into a cell trough the cell membranes.?? Which of the following equations is equivalent to 3(a + 4) 5(a 2) = 22?-2a + 2 = 228a + 2 = 228a + 22 = 22-2a + 22 = 22 I will give brainliest to answer this question right.Which substance plays a major role in the eutrophication process?A. ozone B. saltC. ironD.phosphorus How did Hindu leader and Muslims react on rowlet act equivalent ratio to 2:5 Photosynthetic pigments can be separated using a techniquecalled paper chromatography. Which of the followingstatements is false regarding this technique?O A solvent is needed to move the molecules up thechromatography paper.Water was used as the solvent to separate the various pigments.The smaller molecules moved faster and further up thechromatography paper after a certain amount of timeThe paper chromatography can be used to separate allphotosynthetic pigments not just chlorophyll. Fitness LogWhat are the advantages of strength exercises? How do you feel if your juniors disobey you? Write an essay due Friday nov/13/20In each of the texts listed below, the speaker describes a complex relationship with another character. Choose ONE poem or prose piece to focus on. Then, read and annotate the text carefully. Write an essay in which you make a defensible claim regarding how the speaker uses specific literary techniques such as, narrator, tone and diction to convey the complex relationships between the speaker and another character. In your essay, you should incorporate relevant and specific quotes that support your claim. In your response you should do the following: Respond to the prompt with a claim that presents an interpretation. Select and use evidence to develop and support your interpretation. Explain the relationship between the evidence and your interpretation. Use appropriate grammar and punctuation in communicating your argument. Make sure your essay includes an introduction, 3-4 well-developed body paragraphs and a conclusion. Texts Choose from: "Tell Tale Heart by Edgar Allen Poe How do supporters of lifetime sentences counterStevenson's argument?AThey argue that their age has been considered bysentencing them to juvenile prisons.BThey argue that their age has been considered by notenforcing the death penalty.CThey argue that their age has been considered bygranting them the possibility of parole.DThey argue that their age has been considered byallowing them to continue their education in prison. 6 is the ______ root of 36 PLEASE HELP ME I ONLY HAVE 10 MINS TO FINISH ALL MY ASSIMENTS, WILL GIVE BRAINLIEST AND 15 POINTSquestion:The baseball infield has an area of 90^2 square feet. What is the area of the infield? Mr. Johnson listed each classs average on a quiz in fraction form. Based on the chart, Which shows the classes ordered from the highest average to the lowest average?A. C,D,A,BB. C,A,D,BC. B,D,A,CD. B.A,D,C How did the Battle of Saratoga affect the American Revolution? The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle? Match the word or expression with its correct image.1. Amigo. A. Image one2. Amiga. B. Image two3. Hola. C. Image three4. Seorita. D. Image four why did the author get his family into the dangerous voyage also describe the family and wave walker