Simplify the ratio 45 to 75

Answers

Answer 1

The GCF of 45 and 75 is 15.

So, divide both numbers by 15.

45/15 = 3

7515 = 5

Therefore, the simplified version of the ratio is 3 to 5

Best of Luck!


Related Questions

Which is the graph of y<2x-1

Answers

Answer:

the last one is the only one with a y intercept of -1

Step-by-step explanation:

Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation

represents all numbers of points, p, a player may have after his or her first turn of the game?

O p = 4

O p = -4

O pl = 4

Op = -4

Answers

Answer:

Equation to represent all number of points = |4|

Step-by-step explanation:

We are told that a player either wins or loses 4 points during each turn. This means a player could either gain 4 points or loose 4 points. When writing this in Mathematical terms its means either -4 or +4.

Now, since possible number of turns is -4 or 4, then we can represent this with the absolute value symbol.

Thus, it's |4|

Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students.a) 91.69 < μ < 98.31b) 92.95 < μ < 97.05c) 91.68 < μ < 98.32d) 92.03 < μ < 97.97

Answers

Answer: c) 91.68 < μ < 98.32

Step-by-step explanation:

Let μ  be the mean score of all students.

Let [tex]\overline{x}[/tex] represents the sample mean score.

As per given , we have

Sample size : n= 30

Sample mean : [tex]\overline{x}=95[/tex]

Sample standard deviation: [tex]s=6.6[/tex]

Significance level [tex]\alpha=0.01[/tex]

Now, Confidence interval of mean when population standard deviation is unknown is given by :-

[tex]\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}[/tex]

Degree of freedom = n-1 = 29

Critical two-tailed t-value : [tex]t_{0.01/2,29}=t_{0.005,29}=2.756[/tex] [By students' t distribution table]

Confidence interval of mean will be:

[tex]95\pm (2.756)\dfrac{6.6}{\sqrt{30}}\\\\=95\pm (2.756)\dfrac{6.6}{5.47722557}\\\\=95\pm (2.756)(1.205)\\\\=95\pm 3.32\\\\= (95-3.32, 95+3.32)\\\\=(91.68,\ 98.32)[/tex]

i.e. a 99% confidence interval for the mean score of all students : 91.68 < μ < 98.32

So correct option is c) .

Unit rate for 150 students in 3 classes.

Answers

Answer:

Step-by-step explanation:

150 students/3 classes= 50 students per class

50 students per class 150/3 = 50

According to the U.S. Census Bureau, as of April 1, 2000, the total population of the United States was about 3 x 10^8 . The population of Vermont was 6 × 10^5 . The population of the U.S. was how many times the population of Vermont in April of 2000?

2 times
500 times
1,000 times
50,000 times

Answers

Divide US population by Vermont :

3x 10^8 / 6x10^5

3/6 = 1/2 = 0.5

10^8 / 10^5 = 10^3

0.5 x 10^3 = 500

The answer is 500 times

All we need to do is divide.

3*10^8/6*10^5

0.5^8-5

0.5^3

500

Therefore, the answer is 500 times.

Best of Luck!

Dhshshsjehsjsjjsjssjsjsjsjsjsjshshdhdhdhdjdjdjdjhdbd djdhdhdjjdjdjdjdjdjd

Answers

Answer:

Dhshshshhshsjehsjsjjsjssjsjsjsjsjsjjshhdhddhhdjdjddjdjjhdhdkdhjsdfggdhjjjjd

Step-by-step explanation:

Three and a half more than a number

Answers

Answer:

x + 3.5

Step-by-step explanation:

You are adding

hopefully this helps you:)

Simplify: 2 + 7(1 - 3x)


2 + 14x
16x
9-27x
9 - 21x

Answers

Answer:

9 - 21x  

Step-by-step explanation:

Simplify the following:

7 (1 - 3 x) + 2

Hint: | Distribute 7 over 1 - 3 x.

7 (1 - 3 x) = 7 - 21 x:

7 - 21 x + 2

Hint: | Add the numbers in -21 x + 2 + 7 together.

Add like terms. 2 + 7 = 9:

9 - 21 x

Hint: | Factor out the greatest common divisor of the coefficients of 9 - 21 x.

Factor 3 out of 9 - 21 x:

Answer: 3 (3 - 7 x)

(of the given solutions it's the only correct one, but can be further simplifued to 3 (3 - 7 x)

Which of the following fractions is greater than 2/5 and less than 3/5 ?

Answers

Answer:the answer would be 2.5/5

Give the Domain and Range of H={(-2,-3),(5,9),(5,-2)}
Write your answer using set notations

Answers

Domain = {-2, 5}Range = {-3, -2, 9}

The domain is the set of possible x values or inputs. We list each unique x value once (ignoring any repeats)

The range is the set of possible y outputs. Convention is to sort the values from smallest to largest.

This relation is not a function because the x value x = 5 corresponds to multiple y values.

Factor completely 4x^4− 20x^3 + 12x^2

Answers

Answer:

Step-by-step explanation:

4x^2(x^2 - 5x + 6)

4x^2(x - 3)(x - 2)

Paul says that in the number 6,367, one 6 is 10 times as great as the other 6. Is he correct?

Answers

Answer:

Yes

Step-by-step explanation:

6,000 is 10 times greater than 60

Yes because the 6 that’s in the thousands place way larger then the other 6

Add 6 and 8 the add p

Answers

Answer:

Step-by-step explanation:

6 + 8 + p = 14 + p

Answer: 14+p

Step-by-step explanation:  We have to add these numbers-

6 + 8 + p

14+p

(Since we don't know the value of p this is how far we can simplify )

Evaluate a + b for a = -46 and b = 34.

Answers

Answer:

-12

Step-by-step explanation:

a + b

a = -46

b = 34

-46 + 34 = -12

To which graph does the point (8;-2) belong?

Answers

quadrant 4

.................

Answer:

Quadrant 4

Step-by-step explanation:

In Quadrant 4 the x-axis is positive (+) and the y-axis is negative (-). Here is the point plotted on a coordinate grid to help you understand better.

Hope this helps :)

Find the value of x in each case:

Answers

Answer:

[tex] x = 18 [/tex]

Step-by-step explanation:

Given:

Angle ABC = 2x

Angle CDE = 8x

Required:

Value of x

SOLUTION:

Line AB is parallel to line CD, therefore, angle ABC and angle BCD are alternate interior angles. Alternate interior angles are equal. Thus:

Angle ABC = Angle BCD = 2x

Since, line BC is parallel to line DE, angle BCD and angle CDE are consecutive interior angles.

Consecutive interior angles are supplementary, therefore:

Angle BCD + Angle CDE = 180°

[tex] 2x + 8x = 180 [/tex]

Use this equation to solve for x

[tex] 10x = 180 [/tex]

Divide both sides by 10

[tex] \frac{10x}{10} = \frac{180}{10} [/tex]

[tex] x = 18 [/tex]

How is completing the square beneficial ? Edge 2020 key words

Answers

Allows you to factor a function that was previously not able to be factored
Allows you to factor

Write the quadratic equation whose roots are -4 and 4 and whose leading coeffiecient is 3. Use the letter X to represent the variavble.

Answers

Answer:

3x^2 - 48 = 0

Step-by-step explanation:

The roots of a quadratic equation whose roots are -4 and 4, means that valid solutions for the quadratic equation are -4 and 4.

The two forms we know for the quadratic equation are the factored binomials:

(ax + cy)(bx + dz) = 0

and the full equation

ax^2 + bx + c = 0

We will start with the factored form:

(x + 4) ( x - 4) = 0

Note that if we solve this, we get the roots:  x + 4 = 0  ==> -4 && x - 4 = 0 ==> 4

Now we apply foil to get the unfactored form:

(x + 4) (x - 4) = 0

x * x + x * -4 + 4 * x + 4 * -4 = 0

x^2 + -4x + 4x + -16 = 0

x^2 - 16 = 0

And now we want the leading coefficient to be 3.

3x^2 - 16  = 0

This looks like what we want; however, now with the leading 3, our solutions are no long +4 and -4.  So, we need to re-evaluate.

Going back to the binomials with the idea of a leading 3, let's rewrite them to still give us the solutions 4 and -4, but with the 3 included:

(3x + 12) (x - 4) = 0

Note, we simply multipled one binomial by 3 to maintain the roots of the original, but also incorporate the leading 3.

3x + 12 = 0              x - 4 = 0

3x = -12                        x = 4

x = -4

So now, we simply apply foil to this new equation of binomials to get our final quadratic equation:

(3x + 12) (x - 4) = 0

3x * x + 3x * -4 + 12 * x + 12 * -4 = 0

3x^2 + -12x + 12x + -48 = 0

3x^2 - 48 = 0

This is our quadratic equation we wish to use.

Note, we could have gotten this same equation by simply multiplying the original (x^2 - 16) = 0 by 3.

Cheers.

David noticed that locker 49 was changed exactly 3 times it was opened by Student one closed by student seven and open my Student 49 what other lockers were changed exactly 3 times what is the relationship between these numbers

Answers

Answer:

The other lockers that were changed exactly 3 times are:

Locker 1 and Locker 7

Step-by-step explanation:

Question: What other lockers were changed exactly 3 times?

Answer: Lockers 1 and 7

How?

Locker 1 was opened by a student other than student 1; it was closed by a student other than student one; and it was opened by student 1.

Same happened with Locker 7.

The relationship between these numbers is an associative relationship.

a turtle crawled at a speed of 1.2 meters per minute for nine minutes how far did the turtle crawl

Answers

Answer:

10.8 meters

Step-by-step explanation:

1.2 times 9 minutes= 10.8

Answer:

10.8 meters

Step-by-step explanation:

9 * 1.2 = 10.8

John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?

Answers

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

HELP ME PLS i truly need help on this​

Answers

Step-by-step explanation:

75+54

129°

the answer is 129°

x2+9-8x in standard form

Answers

Answer:

x^2 - 8x + 9

Step-by-step explanation:

Please write x2+9-8x as x^2 + 9 - 8x.  The " ^ " indicates exponentiation.

Next, please write x^2 + 9 - 8x in descending powers of x:

x^2 - 8x + 9

Which number is equivalent to
A 2
B 9
с
81
729

Answers

The answer to the question is A i believe

The answer would be

B. 9

FIRST TO ANSWER GETS BRAINLYEST!!!!!!

Answers

Answer:

m ≈ 3

Step-by-step explanation:

3.53631284916 x 10^3 ≈ 3 x 10^3

Someone help me please i attached a picture...

Answers

Answer:

the perimeter is 13yd + 13yd + 5yd +5yd = 36yd

the area is 5yd + 5yd = 10yd, 10yd × 12yd ÷ 2 = 60yd

A pink crayon is made with 12 ml

Answers

Answer:

ok

Step-by-step explanation:

What is (-9)+9 simplified

Answers

Answer:

the answer is zero

Step-by-step explanation:

-9+9=0

*BRAINLIEST* The lines below are parallel. If the slope of the green line is 8/5, what is the slope of the red line?​

Answers

If the two lines are parallel, then they have the same slope of 8/5
Answer:  8/5

Any two parallel lines always have the same slope (but different y intercepts)

The equation of the green line is y = (8/5)x+6

The equation of the red line is y = (8/5)x-3

Slope intercept form is y = mx+b with m as the slope and b as the y intercept.

The slopes must be the same so that each time the line goes up some amount, we move to the right the same amount. Think of a set of stairs to possibly visualize what I mean. If the slopes are different (even slightly), then the lines will intersect at some point and we wouldn't have parallel lines.

I am a real number I am a rational number I am not a natural number I am less than -13 what number am I

Answers

Answer:

Any number less than -13.

Step-by-step explanation:

If the number is real and rational and non-natural, this means that it can be any number in the negative number space.

Additionally, since the number has to be less than -13, then the number could be any number less than -13.

With all these things considered, the number is any number less than -13 that is real and rational.

Cheers.

it’s -13 because it either can be less or more
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