2.75 as a mixed number.

Answers

Answer 1

Write the number as a fraction of 1 (one):

2,75 = 2,75/1

Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):

Since we have 2 numbers after the comma, multiply the numerator and denominator by 100. So,

2.75/1 = (2.75 x 100)/(1 x 100) = 275/100.

Note that multiplying by 10 is the same as moving the decimal point one place to the right.

Simplify (or reduce) the above fraction by dividing both the denominator and numerator by the greatest common factor between them. In this case, GCD(275,100) = 25.

(275÷25)/(100÷25) = 11/4

Since the numerator is greater than the denominator, we have an IMPROPER fraction, so we can express it as a NUMBER separation, so 275/100 is also equal to 2 3/4 when represented by a mixed number.

$\bf{2\dfrac{3}{4} \ \ \to \ \ \ Answer }$

$\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}$

Related Questions

Which numbers have a digit in the ones place that is 1/10 the value of the digit in the tens place? select all that apply
a. 6,044.7
b 6,339.99
c. 8,101.13
d. 8,066.51
e. 9,777.1

Answers

The numbers that have a digit in the ones place that is 1/10 the value of the digit in the tens place is 6,044.7 , 9,777.1 and 8,101.13

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs. The precise position of a number within a series is assigned a value by a place-value system.

Given that we have to choose the number having a digit in the one place that is 1/10 the value of the digit in the tens place.

The numbers are 6,044.7 , 9,777.1 and 8,101.13 in which a digit in one place has a value that is 1/10 that of a digit in the tens place.

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You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.

Find the total amount that the employer contributes each month.

What amount will you have after 35 years?

How much money have you deposited into the account yourself?

How much more money is in the account than what you have deposited?

Answers

Answer:

Amount per month contributed by employer $ = 200*0.70 = 140

Total amount employer contributes $ = 140*420 = 58800

Total amount employee contributes $ = 200*420 = 84000

Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67

Interest amount for 35 years accumulated $ = 228224.67

Amount deposited by employee $ = 84000

Excess amount in the account over the employee contribution

Including employer contribution $ = 287024.67

Excluding employer contribution $ = 228224.67

Step-by-step explanation:

LOOK AT THE PICTURE FOR STEPS

You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200

A boat sails directly away from a skyscraper located on the edge of a large lake. The skyscraper is 120 meters tall. A photographer on the boat is taking pictures of the skyscraper with a camera that has a 28° viewing lens.

Answers

Let's begin by identifying key information given to us:

$\begin{gathered} Height(h)=120m \\ \theta=28^{\circ} \\ d=\text{?} \end{gathered}$

We will use the Trigonometric ratio (SOHCAHTOA) to solve for d. In this case, we will use ''TOA''

$\begin{gathered} TOA\Rightarrow tan\theta=\frac{opposite}{adjacent} \\ tan\theta=\frac{opposite}{adjacent} \\ opposite\Rightarrow height=120m \\ adjacent\Rightarrow d \\ \theta=28^{\circ} \\ tan28^{\circ}=\frac{120}{d} \\ d\cdot tan28^{\circ}=120 \\ d=\frac{120}{tan28^{\circ}}=225.687\approx226 \\ d=226m \end{gathered}$

Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}

Let sets A and B be subsets of S, where:

Answers

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.

Can someone help me with this? I want to understand each step.
Thank you

Answers

The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }

Given data ,

Let the geometric sequence be represented as A

Now , the value of A is

A = 12 ( -2/5 )ⁿ

On simplifying , we get

when n = 1

A₁ = 12 ( -2/5 ) = -4.8

A₂ = 12 ( -2/5 )²

A₂ = 12 ( 4/25 ) = 1.92

A₃ = 12 ( -2/5 )³

A₃ = -12 ( 8/125 ) = -0.768

A₄ = 12 ( -2/5 )⁴

A₄ = 12 ( 16 / 625 ) = 0.3072

A₅ = 12 ( -2/5 )⁵

A₅ = -12 ( 32 / 3,125 ) = -0.12288

Hence , the geometric sequence is solved

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Find the GCF of 21m5n2 and 28m4n2.

Answers

7m^4n^2 is the answer

Someone help quickly pls :(

Assignment
Practice finding solutions to systems of equations using
substitution.
The value of x in this system of equations is 1.
3x + y = 9
y=-4x+10
1. Substitute the value of y in the first equation:
2. Combine like terms:
3. Apply the subtraction property of equality:
4. Apply the division property of equality:
What is the value of y?
y=
3x + (-4x+10) = 9
-x+10=9
-x=-1
x=1

Answers

Answer:

y = 6

Step-by-step explanation:

Solving system of linear equation using substitution method:

3x + y = 9 ---------------(I)

y = -4x + 10 -----------------(II)

Substitute y = -4x + 10 in equation (I)

3x - 4x + 10 = 9

Combine like terms,

-x + 10 = 9

Subtract 10 from both sides. (subtraction property of equality)

-x = 9 - 10

-x = -1

Divide both sides by (-1). {Division property of equality}

$\sf \dfrac{-x}{-1}=\dfrac{-1}{-1}\\\\ \boxed{x = 1}$

Now, substitute x = 1 in equation (II) and find the value of y.

y = -4*1 + 10

= -4 + 10

$\sf \boxed{\bf y = 6}$

A portion of the quadratic formula proof is shown. Fill in the missing statement

Statements Reasons
x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared Find a common denominator on the right side of the equation
x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Add the fractions together on the right side of the equation
the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared Rewrite the perfect square trinomial on the left side of the equation as a binomial squared
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 4 times a squared Take the square root of both sides of the equation
x plus b over 2 times a equals plus or minus the square root of b squared minus 4 times a times c, all over 2 times a Simplify the right side of the equation
? Subtract the quantity b over 2 times a from both sides of the equation

x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a
x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

Answers

The missing statement is the quadratic formula and the correct option therefore is the third option;

x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

What is the quadratic formula?

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; $x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}$

The statements and reasons can be presented algebraically as follows;

Statements ${}$ Reasons

$x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}$ Find a common denominator on the

right side of the equation

$x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}$ Add the fractions together on the

${}$ right side of the equation

$(x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}$ Rewrite the perfect squared equation

${}$ to the left side of the equation as a

${}$ binomial squared

$x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }$ Take the square root of both sides of the

${}$ equation

$\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}$ Simplify the right side of the equation

The correct option is therefore;

x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

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Answer:

Step-by-step explanation:

i took the test

have a great day :) .!

PLS HELP

The elevation of city A is 96 feet below sea level; the elevation of city C is 24 feet below sea level. The elevation of city D is 1 over 4 of the elevation of city C.

Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)

Part B: Solve the expression and explain why the answer is negative or positive. (5 points)

HURRY PLS

Answers

(A) The expression to represent the elevation level of city D, in feet will be : $D = \frac{1}{4} * [C]$
(B) The elevation of city D will be -6 feet. The negative here shows that city D is below sea level.

In the question, it is given that city A is 96 feet below sea level, city C is 24 feet below sea level, and the elevation of city D is 1 over 4th of the elevation of C. Since, City A & C are both below sea level their elevation will be negative. So, by these we get elevations:

For City A, A = -96

City C, C = -24

City D, $D = \frac{1}{4} *[C]$ ----> Equation (1)

By Equation (1) we get the representation of elevation for City D.

Now, Calculating the elevation of city D, we will put the value of city C in equation (1).

=> $D = \frac{1}{4} *[-24]$

=> $D = -6\\$

The negative sign here shows that the elevation is below sea level for city D.

Hence, the expression representing the elevation of city D will be $D = \frac{1}{4} * [C]$ and, the elevation of city D will be -6.

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Magician Anthony has in his magic hat 14 grey, 8 white and 6 black mice. What is
the least number of mice he has to take out of his hat blindfolded to be absolutely
certain that he has got at least one mouse of each colour?

Answers

The least number of mice that he has to take out of his hat would be 23.

How to solve for the least number of mice

We have the following details to solve this problem

x = 14

t = 8

u = 6

n1 = x + t + 1

= 14 + 8 + 1 = 23

n2 = t + u + 1

= 8 + 6 + 1 = 15

n3 = x + u + 1

= =14+6+1=21

From here the

max n (n1, n2, n3) = 23, 15, 21

Hence the least number that has to be taken out would be 23.

Answers

Answer:

42x-42

Step-by-step explanation:

(7x)(6x)+(6)(-7)=42x°-42°

Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.

Answers

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Question 7
A light bulb used to have an averaged life time of 1000 hours. Now the
factory developed a novel technique hoping to extend its life time. We
randomly pick up 10 light bulbs produced by the new technique and the
measured life time mean value is 1077 hours with the standard deviation of
51.97 hours. If we do the t-test at the significance level of 2.5%, did the new
technology work?
(6 marks)

Answers

We can conclude that the new technique has extended the life of light bulbs. Yes it has worked

What is the t-test?

Generally, To calculate the t-statistic, you would use the following formula:

t = (sample mean - hypothesized mean) / (standard deviation / √n)

Where "sample mean" is the mean life of the 10 light bulbs, "hypothesized mean" is the average life of the light bulbs before the new technique (1000 hours), "standard deviation" is the standard deviation of the sample (51.97 hours), and "n" is the number of light bulbs in the sample (10).

Plugging in the values, we get:

t = (1077 - 1000) / (51.97 / √10)

t= 77 / 5.197

t= 14.8

Now that you have calculated the t-statistic, you need to determine the critical value of t at a significance level of 2.5%.

Where

df=10-1

df=9

At a significance level of 2.5% and 9 degrees of freedom, the critical value of t is 2.262.

Since the t-statistic calculated for the sample (14.8) is greater than the critical value (2.262), you can reject the null hypothesis that the new technique did not extend the life of the light bulbs.

Answers

right angle : it can’t be equilateral because all sides would have to be the same length, and it can’t be isosceles because two sides would have to be the same length

Use Pythagoras’ Theorem to figure out if it is scalene or right-angled.

20^2 = 400
10^2 = 100
17^2 = 289

400 + 100 doesn’t equal 289
100 + 289 doesn’t equal 400
400+ 289 doesn’t equal 100

So the triangle can’t have a right angle, so therefore is a SCALENE triangle.

need a lil help please

Answers

Answer:

B(2, 4)

Step-by-step explanation:

Given points:

A(-1, -9) and M(0.5, -2.5)

Let the coordinates of B are (x, y)

Use midpoint formula to determine the point B:

0.5 = (- 1 + x)/2 ⇒ 1 = -1 + x ⇒ x = 1 + 1 = 2-2.5 = (-9 + y)/2 ⇒ -5 = -9 + y ⇒ y = -5 + 9 = 4

Solve: XC - XV. Show your answer as a Roman Numeral. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V X Х L с D M A) V B) VI C) VIL

Answers

To make this substraction, it is better to first convert into standard numbers then make the substraction.

In Romans,

if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic

Answers

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Which of these best explains the next step to simplify this expression?

Answers

Answer:

Make the -4 exponent in the denominator positive.

helpppp...........................

Answers

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

can someone please help me with this

Answers

Answer:

-21

Step-by-step explanation: a negative times a positive will always be a negative

(I WILL GIVE BRAINLIEST) How many rows of corn (y) will be plowed after 20 hours (x)?

Answers

Answer:

300 rows of corn

Step-by-step explanation:

y=15(20)

Answer:

$y = 300\ rows\ of\ corn$

Step-by-step explanation:

Step 1: Determine the amount of rows

$y = 15x$ is our equation

We know that y is the rows of corn and x is the amount of hours. Therefore if we just plug in 20 hours into x we can solve for y.

$y = 15(20)$

$y = 300\ rows\ of\ corn$

Answer: $y = 300\ rows\ of\ corn$

I’m giving points pls answer quickly (don’t send me a link pls just tell me answer)

Answers

Answer:

15,000 feet cubed

Step-by-step explanation:

15 x 15 = 225

10 x 15 = 150

150 / 2 = 75

225 = 75 = 300

300 x 50 = 15,000 feet cubed

Answer:

15000 ft^3

Step-by-step explanation:

You said you just wanted the answer so I won't explain in depth but let me know if you want an in depth explanation.

15*15=225

225*50= 11250

10*15=150

150/2=75

75*50=3750

11250+3750= 15000

Answer: 15000ft^3

This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?

Answers

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.

I hope this helps!

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3

Answers

The steps that Patel could he use to solve the quadratic equation include:

8(x² + 2x) = –3

8(x² + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

How to illustrate tye information?

It is preferred to solve quadratic equations without the use of the known quadratic formula solver. This can be completing squares and solving for x.

The equation given is:

8x² + 16x + 3 = 0

8(x² + 2x) = -3

Completing squares in the brackets and balancing the equation:

8(x² + 2x + 1) = -3 + 8

Factoring the perfect square will give 8(x + 1)² = 5.

This is illustrated in the options picked for the step.

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if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use

Answers

Answer:

786240 different license plates.

Step-by-step explanation:

The required number of plates that can be used is 2,599,974.

Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974

Thus, the required number of plates that can be used is 2,599,974.

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Calculate the geometric center of the grapg under the function

Answers

The geometric center of the graph under the function is 5/3

How to determine the geometric center of the graph under the function?

The equation of the function is given as:

f(x) = 3 - |x - 2|

The interval is given as:

x ∈ [0, 3]

The geometric center (gc) of the graph under the function is calculated using

gc = ∫x f(x) dx/∫f(x) dx

Substitute the known values in the above equation

gc = ∫x * (3 - |x - 2|) dx/∫3 - |x - 2| dx

Integrate the numerator and the denominator of the above equation

gc = [-1/6(x - 2)((2|x -2| - 9)x + 2|x - 2| - 18)]/[3x - 1/2[|x - 2|(x - 2)]]

Recall that the interval is given as x ∈ [0, 3]

Substitute the interval values in the above equation.

The equation is then simplified using a graphing calculator.

So, we have

gc = (65/6)/(13/2)

Express the quotient expression as a product

gc = (65/6) * (2/13)

Divide 65 by 13

gc = 5/6 * 2

Divide 2 by 6

gc = 5/3

Hence, the geometric center of the graph under the function is 5/3

Answers

259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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In order to understand more about the home internet access of a university with 12768 students, three staff members set out to sample a number of students. Below are their plans for sampling the students. Plan 1: One staff member thought that internet access could be different based on the size of the town/city where the student lives, so she obtained a list of all students at the university, divided them into three groups, students living in small-, medium-, and large-sized towns. 10% of students lived in small towns, 40% lived in medium-sized towns, and 50% lived in large-sized towns, so she randomly selected 20 of the students from small towns, 80 from medium-sized towns, and 100 from large-sized towns. Plan 2: The other staff member decided that it would be most efficient to contact students through the online course management system. He randomly sampled 20 courses from the course catalog, and contacted all students in each of these 20 courses through the online course management system. (You may disregard the negligible probability that some student was enrolled in more than one of these 20 courses.) Plan 3: The last staff member had access to a list of students that lived in the dorms, and used a computer program to randomly select 250 students from this list. The staff members took care not attempt to influence student responses in any way. Which of these three plans will result in representative samples of the population of students, on aver

Answers

Answer: I-

Step-by-step explanation:

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charlidamelio

how many hundred billions in the number 432,845,979,484

Answers

There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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I NEED HELP WITH THESE 4 ASAP

Answers

Answer:

I'm confused by this. What do they mean by prove?

Step-by-step explanation:

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