Simplify to lowest terms.
24/42

Answers

Answer 1

Answer:

4/7

Step-by-step explanation:

first simplify it to 12/21 when you divide both sides by 2

then simplify to 4/7 when you divide both sides of 12/21 by 3

Answer 2

Answer:

4/7

Step-by-step explanation:

Both numbers in the fraction are divisible by 6, so to simplify it, divide each number by 6:

24/6 = 4

42/6 = 7

Then, put these 2 numbers in fraction form:

4/7

So, 4/7 is the simplified fraction.


Related Questions

In a card game, the probability that you will have a hand with five cards in the same suit is about 14%. The dealer wants to know the probability for a player to be dealt this type of hand in one of the first three hands. Should a geometric probability density function or a cumulative distribution function be used? Explain.

(A) A geometric cumulative distribution function should be used because the question states that the probability for having this type of hand is about 14%.
(B) A geometric probability density function should be used because the question states that the probability for having this type of hand is about 14%.
(C) A geometric cumulative distribution function should be used because the question asks for the probability of having a hand with five cards in the same suit in one of the first three hands.
(D) A geometric probability density function should be used because the question asks for the probability of having a hand with five cards in the same suit in one of the first three hands.
(E)There is not enough information to be to able to determine whether a geometric probability density function or a cumulative distribution function should be used.

Answers

Answer:

C) A geometric cumulative distribution function should be used because the question states that the probability for having a hand with three of a kind is about 6%.

Step-by-step explanation:

A geometric cumulative distribution function should be used because the question states that the probability for having a hand with three of a kind is about 6%.

A geometric cumulative distribution function should be used because the question asks for the probability of having a hand with five cards in the same suit in one of the first three hands

Option C is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The geometric cumulative distribution is a discrete likelihood conveyance where the random variable describes the quantity of the expected Bernoulli trial.

A Bernoulli trial is an experiment that can have just two results.

Success and failure.

Now,

We are interested in the first success in the three chances, which is a distribution function of a geometric distribution.

Now,

The probability of having a hand with five cards in the same suit in one of the first three hands.

This is a geometric distribution.

Thus,

A geometric cumulative distribution function should be used.

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what is the coefficients of x² in (2-3x) (x²-5)​

Answers

Answer:

+2

Step-by-step explanation:

=> \((2-3x)(x^2-5)\)

=> \((2x^2-10-3x^3+15x)\)

Arranging it in descending order

=> \(-3x^2+2x^2+15x-10\)

So, the coefficient of x² in this expression is +2

This depends if you are supposed to simplify the binomials first:

If you leave it in the form provided then the coefficient would be 1

However, you can multiply the binomials together in order to simplify the expression:

\((2 - 3x)( {x}^{2} - 5)\)

\((2 \times {x}^{2} ) + (2 \times - 5) + ( - 3x \times {x}^{2} ) + ( - 3x \times - 5)\)

\( { - 3x}^{3} + {2x}^{2} + 15x - 10\)

Which then shows the coefficient would be 2

So it all depends on the directions provided, I would assume the correct answer is 2 if the directions are the exact same as provided on Brainly.

5. How many halves can we get fro. 60 oranges?
A) 120 halves
3. 90 halves
30 halves
20 halves​

Answers

A you just double 60

Answer:

Answer

Step-by-step explanation:

step by step Explantation

find the estimate and the exat case of the the following 23 books at $263. 64 each

Answers

Answer:

Estimate: $5,000.00

Actual: $6,063.72

Step-by-step explanation:

I would estimate by finding 20 x 250

I know that 10 x 250 would be 2500 and if I double that, I would get 5,000.

Helping in the name of Jesus.

If the average of 7 positive integers is 100, find the highest possible value of the largest number.


PLS ANSWER QUICKLY FOR THE SAKE OF THE GOD!!!1

Answers

Answer:

Step-by-step explanation:

Kenny reads 5/8 pages of his book in 2/3 minutes. How many pages will Kenny read in one minute answer as fraction

Answers

Answer:

15/16

Step-by-step explanation:

The unit rate is pages per minute, so divide the pages by the minutes:

(5/8)/(2/3) = (5/8)·(3/2) = 15/16 pages per minute

select THREE expressions that are equivalent to 6 x + 1 − ( 3 x − 1 )

Answers

Answer:

3x+2 is your answer

Step-by-step explanation:

6 x + 1 − ( 3 x − 1 )

6x+1-3x+1

3x+2

Answer:

3x + 2

Step-by-step explanation:

Distribute

6 + 1 − 3 + 1

Add the numbers

6 + 2 − 3

Combine like terms

3x + 2

Marcus was interested in whether the frequency that students check emails impacts their grades in the class. He categorized students into three groups. Those who checked email daily, those who checked email at least 2x a week (but not every day), and those who checked email less than 2x a week. Below are the GPAs for the students he studied. Conduct the steps of hypothesis testing on these data.

Table of data: GPAs for students separated by how often they check their email
Daily 2x a week Less than 2x a week
3.6 3.5 2.9
3.5 3.4 3.0
3.7 3.2 3.2
4.0 3.2 2.7

Answers

The steps to conduct the steps of hypothesis testing on these data are:

State the null hypothesis (H0) as well as the alternative hypothesis (H1):Select the significance level (alpha): Select the right test statistic:Formulate the decision rule:Compute the test statistic as well as the p-value:Decide on a decision.What is the hypothesis?

The hypothesis will be:

H0: Email frequency does not affect grades.H1: Email frequency affects grades.

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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Find the value of y.

Find the value of y.

Answers

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

PLEASE HELP
Which element should you not include in a summary for a book review?


a brief description of setting


the story's ending


explanation of theme


how the main conflict is resolved

Answers

the story’s ending :) please do not follow any links

How much is Pete's 12%
commission
on $50,000 in sales
I NEED THIS IM FAILING MATH PLSSSS

Answers

i think 12,000 is the answer, 50,000 • 0.12 (12% converted to a decimal)

State whether you believe the two variables are correlated. If you believe they are correlated, state whether the correlation is positive or negative. The repair bills of a car and its fuel consumption.

Answers

Answer:

I believe they are correlated: positive correlation.

Step-by-step explanation:

The higher the repair bills of a car, it means maybe having bad fuel injectors, will cause bad mileage allowing the car to consume more fuel. It is like say the inexorable decline of a car in areas including minor wears and incorrect adjustment etc impairs fuel economy. Thus, the higher the repair bills, the higher the fuel consumption. This is an example of a positive correlation. This means the value of y increases as there is an increase in the value of x.

i need help with this question i dont know how to do it thanks <3

i need help with this question i dont know how to do it thanks &lt;3

Answers

Answer:

( c+a, b)

Step-by-step explanation:

The length of the horizontal line is c by taking points D and C

( c-0) =c

So the length of line AB must also be c if it is a parallelogram

Let the coordinate of B be (x,y)

(x-a) =c

x = c+a

The height of the parallelogram is b by taking the difference of the y coordinates from A and D

A -D = b-0 = b

This must be the same form B and C

y -0 = b

y = b

The coordinates of B is ( c+a, b)

In the diagram below, AD || EG, m/BFC = 75° and m/FBC = 43°. Find
m/GFC.
Step
1
2
try m
Angle
m/BFC = 75°
m/FBC = 43°
D
O
75°
F
Select a Reason
Reason
Given
Given
43°
B
E


Use photo for more clear explanation PLEASE HELP

In the diagram below, AD || EG, m/BFC = 75 and m/FBC = 43. Findm/GFC.Step12try mAnglem/BFC = 75m/FBC

Answers

Applying the alternate interior angles theorem, the measure of angle FBC is determined as: 67°.

What is the Alternate Interior Angles Theorem?

If two angles are alternate interior angles formed along a transversal on two parallel lines, then their measures are congruent or the same.

What are Angles on a Straight Line?

Angles on a straight line are angles that lie along a straight line, and the sum of the angles equals 180 degrees.

Given the following:

m∠BFC = 75°

m∠GFC = 38°

∠EFB, ∠BFC,  and ∠GFC are angles on a straight line, therefore:

m∠EFB = 180 - m∠BFC - m∠GFC

Plug in the values

m∠EFB = 180 - 75 - 38

m∠EFB = 67°

Find the measure of angle FBC:

Angles FBC and EFB are alternate interior angles, therefore:

m∠FBC = m∠EFB = 67° [alternate interior angles theorem]

m∠FBC = 67°

In summary, using the alternate interior angles theorem, the measure of angle FBC is determined as: 67°.

99 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

99 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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write the english phrase as an algebraic expression. Let x represent the number

Answers

The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7

Writing the english phrase as an algebraic expression

From the question, we have the following parameters that can be used in our computation:

seven less than four times a number

Represent the number with x

So:

four times a number means 4x

So, we have

seven less than 4x

seven less than means - 7

So, we have

4x - 7

Hence, the english phrase as an algebraic expression is 4x - 7

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Complete question

write the english phrase as an algebraic expression. Let x represent the number

Seven less than four times a number

Estimate the mass of food and water that a team of six astronauts would need for a standard two-year mission to Mars. (Note: the two years includes the round trip.)

Answers

Answer:

Astronauts on the International Space Station, or ISS, often spend six to 12 months in space, orbiting Earth. It can be a little cramped staying inside the space station all that time. Astronauts still need to do their everyday living, such as working, eating, relaxing, and exercising, but with fewer resources than they have on Earth.

Kecia made a password that consists of 4 digits, 0-9. None of the digits are the same. How many possible passwords did Kecia choose from? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)


A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4

Answers

Answer:

There are 9 possible numbers for the first number. There are 8 possible numbers for the second number since one number has been picked. For the third number there are 7 possible numbers.

9*8*7=5040

Step-by-step explanation:

Are all intersecting lines perpendicular? Draw a picture to help explain your answer

Answers

Not all intersecting lines are perpendicular.

What are perpendicular lines?

Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.

Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.

As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.

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Are all intersecting lines perpendicular? Draw a picture to help explain your answer

CAN SOMEONE PLEASE HELP ME WITH #12 and #13 and if they are correct I will give you brainliest

CAN SOMEONE PLEASE HELP ME WITH #12 and #13 and if they are correct I will give you brainliest

Answers

Answer:

12. parallel, 13. perpendicular

Step-by-step explanation:

Find the slope of both lines

AB:(6-3)/(2--2)=3/4

CD:(3-0)/(3--1)=3/4, the slope is the same so the lines are paralell

2. DO the same thing

AB:(4-2)/(5-0)=2/5

CD:(3-8)/(3-1)=-5/2, the slopes are opposite inverses so they are perpendicular

Answer:

1. parallel

2. perpendicular

Jill has $7.85 in dimes and quarters. She has 12 more
quarters than dimes. Write a system of equations that
could represents the situation if D represents the
number of dimes and Q the number of quarters?

Answers

she has $7.85 in quarters and dimes

quarters = 25c

dimes = 10c

she has 12 more

so, we know she has AT LEAST 12 quarters

25 x 12 = 300 = $3.00

but we also know its not possible for her to have more dimes quarters

( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )

Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41​

Answers

(a) We can use the formula for compound interest to find the rate of interest per annum: A = P * (1 + r/n)^(n*t), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years.

Using the table, we can see that the loan increases by a factor of 1.058 after 1 year and by a factor of 1.058/1.045 = 1.0124 after 2 years. Thus, we have:

1.058 = (1 + r/n)^(n*1)
1.0124 = (1 + r/n)^(n*2)

Dividing the second equation by the first, we get:

1.0124/1.058 = (1 + r/n)^(n*1)

Taking the nth root of both sides, we get:

(1 + r/n) = (1.0124/1.058)^(1/n)

Solving for r, we get:

r = n * [(1.0124/1.058)^(1/n) - 1]

We don't know the value of n, but we can make an educated guess that it's either 1 or 2, since the loan is increasing by roughly 5.8% per year. If we try n = 1, we get:

r = 1 * [(1.0124/1.058)^(1/1) - 1] = -0.0427

This is clearly not the correct answer, since the interest rate cannot be negative. If we try n = 2, we get:

r = 2 * [(1.0124/1.058)^(1/2) - 1] = 0.0574

This is a reasonable answer, since it's close to the observed increase in the loan value of 5.8% per year. Therefore, the rate of interest per annum is 5.7% to 1 d.p.

(b) Using the formula for compound interest, we can find the value of the loan 10 years after it starts:

A = P * (1 + r/n)^(n*t) = 2500 * (1 + 0.0574/1)^(1*10) = £4,745.60 (to the nearest 1p

Answer:

25000

Step-by-step explanation:


9. There are 40 minutes to solve a test of 60 questions. A student completes 20 questions in 20 minutes
He continues with the same speed and leaves the hall 10 minutes earlier. The number of questions solved by him?

Answers

He solved 30 questions.
He solved one question in one minute.
This if he continued at the speed and there are 40 minutes to solve the test and he leaves 10 minutes earlier. He is left with 30 minutes and one minutes per question . Therefore, he solved 30 question.

The student had attempted 30 questions.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

There are 40 minutes to solve a test of 60 questions

And, A student completed 20 question in 20 minutes.

He left the hall 10 minutes earlier.

Since, A student can solve 20 questions in just 20 minutes

That means, He can solve 1 question in 1 minute

Here, The exam was of 40 minutes

He came out from the hall 10 minutes before the end of test

That means He completed his exam in

⇒ (40 - 10) minutes

⇒ 30 minutes

Now, In 1 minute he can solve 1 question ,

So, in 30 minutes h can solve :-

⇒ (30 × 1)

⇒ 30 questions

Hence, The student had attempted 30 questions.

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Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not?
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Zoe is not correct because equilateral triangles have three acute angles. Acute triangles have three acute angles, so acute triangles are always equilateral triangles.
Zoe is correct because equilateral triangles have three sides of equal length, and acute triangles have three sides of different lengths.
Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle PLEASE HELP ME

Answers

Answer:

Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.

Step-by-step explanation:

Write an expression for the area of the gym.

Write an expression for the area of the cafeteria ​

Answers

Answer:

eating area?

Step-by-step explanation:

Sketch a triangle with the following points.
A: (-5, 1)
B: (-5, -5)
C: (1, 2)
Rotate the triangle 90 degrees counterclockwise and sketch triangle A', B', C'.​

Answers

Using the rule for a rotation 90º counterclockwise, the triangles are sketch on the graph given at the end of the answer.

What are transformations on the graph of a function?

Transformations on the graph of a function are classified as follows:

Translation: Can be translation left/right or down/up.Reflections: Can be over one of the axes or over a line.Rotations: Over a degree measure, and the rule depends on the measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.

All these transformations are defined by rules, and the rule for a rotation 90º counterclockwise is given by:

(x,y) -> (-y, x).

Hence, applying the rule, the vertices of triangle A'B'C' are given as follows:

A': (-1, -5).B': (5, -5).C': (-2, 1).

Both triangles are sketched in the graph given at the end of the answer, with the original triangle in black and the rotated triangle in blue.

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Sketch a triangle with the following points.A: (-5, 1)B: (-5, -5)C: (1, 2)Rotate the triangle 90 degrees

Darius biked for 2 hours and traveled 21 miles. Kala biked 42 miles in 5 hours. Determine how many miles each person biked in one hour. Who biked more quickly?​

Answers

Step-by-step explanation:

that's so easy just learn it times

What is the reference angle for the angle with the measure 2x/3

Answers

The reference angle for the angle with the measure 2x/3 is 54⁰

How to determine the reference angle?

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Please look at the photo. Thank you!

Please look at the photo. Thank you!

Answers

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

How to calculate the composite functions

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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What is the Recursive relation of 1,1,5,17,71,247…

Answers

The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).

How to find the recursive relation ?

A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.

Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:

1 x 1 - 0 = 1

1 x 2 - 1 = 1

1 x 3 - 2 = 5

5 x 4 - 3 = 17

17 x  5 - 4 = 71

71 x 6 - 5 = 247

We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).

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Other Questions
21. If 2 < a < 5, and 3 < b < 6, what are the possible values of a + b?(A) a + b must equal 8.(B) a + b must be between 2 and 6.(C) a + b must be between 3 and 5.(D) a + b must be between 5 and 8.(E) a + b must be between 5 and 11. Someone please tell me the domain and range. Thank you. Need Help ASAP. Thank you :) After an office party, 4 1/3 pizzas are left. A day later, there are 1 5/6 pizzas left. How munch pizza was eaten during the day after the party a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 402 402 gram setting. is there sufficient evidence at the 0.05 0.05 level that the bags are underfilled or overfilled? assume the population is normally distributed. state the null and alternative hypotheses for the above scenario. If the Fed increases the money supply, then 1/P A. rises, so the value of money rises. B. rises, so the value of money falls. C. falls, so the value of money rises. D. falls, so the value of money falls. Which are characteristics of an entrepreneur?select all that apply.a. indifferenceb. inflexibilityc. visiond. risk-takinge. competitiveness what are the difference between observation and test Ahh math peeps! ! I've been gifted some smart people lol, legit god sends Which sentence from the worlds on turtles back best illustrates why the story is considered a creation myth What has been the impact of the growth in coverage of televised political events? ~~Erikson's 8 Stages of Psychosocial Development Qs~~What stage is characterized by the psychological challenge of -initiate activities in meaningful way? these spectacular rice terraces cascade down to the banks of which river?A Yellow RiverB Black RiverC Red River Which equation is equivalent to 3 (5x 4) = 2 (7x)? A. 5x - 4 = 142 B.5x - 12 = 14r C. 15x - 4 = 147 D. 15x - 12 = 14 A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed, and 26 are satisfied. What conclusion can be drawn for the 800 daily customers? Write the equation of the line fully simplified slope-intercept form how can a nation benefit from its hardworking citizens 4. Find the equation of the line that goes through the point (1,-1) and has a slope of 5.y = 5x-1y = x + 54y = 5x + 1y = 5x-6 Maps that focus on ideas are known as what?A. PoliticalB. PhysicalC. HumanD. Special purpose Please help will give brainliest