Mathematics College

Write the quotient as a mixed number. 33 ÷ 5 = 6 R2

Answers

Answer 1
A mixed number is a number with an integer and proper fraction.

33 / 5 = 6 R3 which is equal to 6 and 3/5

Related Questions

What is the annual rate of productivity advance implied by moore's law? (assume linear growth from the base.) instructions: enter your response rounded to the nearest whole number. %?

Answers

The annual rate of productivity is 34%. Moor's law sates that it i sequal to 34%.

simplify completely 3x^2+21x-54 over x^2+3x-54

Answers

[tex]\bf \cfrac{3x^2+21x-54}{x^2+3x-54}\implies \cfrac{3(x^2+7x-18)}{x^2+3x-54}\implies \cfrac{3\underline{(x+9)}(x-2)}{\underline{(x+9)}(x-6)} \\\\\\ \cfrac{3(x-2)}{x-6}[/tex]

Answer: 3(x-2) / x-6

Step-by-step explanation: find gcf..

3/a=9/b-10c solve for a.

Answers

For this case we have the following equation:
 3 / a = 9 / b-10c
 Rewriting we have:
 3 = a * (9 / b-10c)
 Clearing to have:
 a = 3 / (9 / b-10c)
 Answer:
 The value of a in terms of variables b and c is given by:
 a = 3 / (9 / b-10c)

HI :) I NEED HELP PLEASE BEFORE 12 AM

Answers

See, please, the solution for the task number 2.

PLEASE PLEASE HELP WITH THIS

Answers

Since triangles ABC and BCD are similar, we can establish a proportion between the lengths of corresponding sides:
[tex] \frac{AC}{BC} = \frac{BC}{CD} [/tex]

We can infer from our picture that [tex]BC=m[/tex]. Also we can find the length of AC by adding AD and CD:
[tex]AC=AD+CD[/tex]
[tex]AC=11+7[/tex]
[tex]AC=18[/tex]

Lets replace the values in our proportion:
[tex] \frac{AC}{BC} = \frac{BC}{CD} [/tex]
[tex] \frac{18}{m} = \frac{m}{7} [/tex]
Solving for [tex]m[/tex]:
[tex]m^2=(18)(7)[/tex]
[tex]m^2=126[/tex]
[tex]m= \sqrt{126} [/tex]

We can conclude that the correct answer is: D [tex] \sqrt{126} [/tex]

an original piece of art work is 3 feet by 2.5 feet. a reprint of the artwork is 6 inches by 5 inches. are the pieces similar? if so, what is the ratio of their corresponding side lengths?

Answers

For this case we observe that the dimensions of the original piece are:
 3 feet
 2.5 feet
 Let's multiply these dimensions by a scale factor k:
 3 * k
 2.5 * k
 We match the new dimensions with their respective values:
 3 * k = 6
 2.5 * k = 5
 Clearing k we have:
 k = 6/3 = 2
 k = 5 / 2.5 = 2
 Since the value of k is the same, then the pieces are similar.
 Answer:
 The pieces are similar.
 The ratio of their corresponding side lengths is: 
 k = 2

What is the length of the hypotenuse of the triangle?
sides 7cm and 3cm

A. sqrt 20cm
B. sqrt 23cm
C. sqrt 40cm
D. sqrt 58cm

Answers

So use the Pythagorean theorem formula - a² + b² = c²

7² + 3² = c²
49 + 9 = c²
49 + 9 = 58
58 = c²
Sqrt of 58 = 7.6 cm

So the answer is D) Sqrt 58 cm.

Hope this Helps!!

The length of the hypotenuse of the triangle is √58 cm (Option D).

To find the length of the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's label the sides of the triangle:

Side a = 7 cm (one of the legs)

Side b = 3 cm (the other leg)

Side c = ? (the hypotenuse)

The Pythagorean theorem is:

[tex]c^2 = a^2 + b^2[/tex]

Substitute the given values:

[tex]c^2 = 7^2 + 3^2\\\\c^2 = 49 + 9\\\\c^2 = 58[/tex]

Now, we can find the square root of both sides to solve for c:

c = √58 cm

So, the length of the hypotenuse of the triangle is √58 cm.

The correct answer is: D. √58 cm

To know more about hypotenuse, refer here:

https://brainly.com/question/26803885

#SPJ2

Factor completely the following quadratic expression 16x^2-25y^2

Answers

[tex]16x^2-25y^2 [/tex] 

[tex](4x)^2-(5y)^2[/tex] 

[tex](4x+5y)(4x-5y)[/tex]

Answer:

(4x+5y)(4x-5y)

Step-by-step explanation:

it is correct i got it right

hey can you please help me posted picture of question

Answers

We have the following function:
 P (m) = m / 6 + 9
 Clearing m we have:
 m = 6 * (p-9)
 m= 6*p - 6*9
 Rewriting:
 m (p) = 6p-54
 Answer:
 The inverse function for this case is given by:
 m (p) = 6p-54
 option A
The correct answer is option B.

The solution is shown below

[tex]P(m)= \frac{m}{6} -9 \\ \\ p=\frac{m}{6} -9 \\ \\ p+9=\frac{m}{6} \\ \\ 6(p+9)=m \\ \\ m=6p+54 \\ \\ M(p)=6p+54 \\ \\ M(p)=6m+54 \\ \\[/tex]

determine the perimeter of a sector circular AOB whose radius has a length of 4m its central angle is 0.5 rad

Answers

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=4\\ \theta =0.5 \end{cases}\implies A=\cfrac{(4)(0.5)^2}{2}\implies A=0.5[/tex]

hey can you please help me posted picture of question

Answers

The number of roots of a quadratic function can be determined from its discriminant.

If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.

The discriminant can be calculated as:

Disc = b² - 4ac

For the given equation:

Disc = 9 - 4(2)(1) =1

Since the value of discriminant is positive, the function will have two distinct roots.

So, the answer to this question is option B

The graph of a proportional relationship passes through (3, 24) and (1, y). Find y.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf (\stackrel{x}{3},\stackrel{y}{24})\textit{ we also know that } \begin{cases} x=3\\ y=24 \end{cases}\implies 24=k3\implies \cfrac{24}{3}=k \\\\\\ 8=k\qquad therefore\qquad \boxed{y=8x} \\\\\\ (\stackrel{x}{1},\stackrel{y}{y})\textit{ when x = 1, what is \underline{y}?}\qquad y=8(1)[/tex]

PLEASE HELP WILL GIVE BRAINLIEST!!!The table below represents the closing prices of stock ABC for the last five days

Answers

Answer:

A. [tex]y=-8.583x+475.215[/tex]

Step-by-step explanation:

We are given,

The table representing the closing prices of stock for the last five days is,

Day                         Value

1                                472.08

2                               454.26

3                                444.95

4                                439.49

5                                436.55

Using the linear regression calculator, we have that,

The linear equation that best fits the data is [tex]y=-8.583x+475.215[/tex]

Thus, option A is correct.

A round table top has a diameter of 2.6 meters.What is its surface area

Answers

Hello!

To find the area of a circle you use the equation

[tex] \pi r^{2} [/tex]

r is radius which is half the diameter

r = 2.6 / 2

r = 1.3

Put in the values you know

[tex] \pi 1.3^{2} [/tex]

Square the number

[tex]1.69 \pi = 5.31[/tex]

The answer is [tex]1.69 \pi [/tex] or ≈5.31

Hope this helps!
that's just area of a circle

remmber that [tex]A=\pi r^2[/tex] where r=radius and A is area and pi is pi or about 3.14159265

so if diameter is 2.6, ah, tricky, they give you dameter
rmemeber that d/2=r so 2.6/2=d/2=r=1.3

so
[tex]A=\pi r^2[/tex]
[tex]A=\pi (1.3)^2[/tex]
using your calculator
[tex]A=5.309 m^2[/tex]


the surface area is [tex]5.309 m^2[/tex]

What is one possible solution for the triangle below?

Answers

Answer:

The correct answer is C, i can promise you that

Step-by-step explanation:

the only one with Angle Z as 94.6 degrees.

One possible solution for the triangle below is:

Option D:

YZ = 95.4

∠X = 26.7°

∠Z = 85.3°

How use law of sines and cosines?

If only one of these is missing, the law of cosines can be used.

3 sides and 1 angle. So if the known properties of a triangle are SSS (side-side-side) or SAS (side-angle-side), then this law applies.

If you want the ratio of the sine of an angle and its inverse to be equal, you can use the law of sine. This can be used if the triangle's known properties are ASA (angle-side-angle) or SAS.

Using Law of sine:

40/sin 68 = 43/sin Z

sin Z = (43/40) * sin 68

sin Z = 0.9967

Z = sin⁻¹0.9967

Z = 85.3°

The only option with the correct value of angle Z is Option D with:

YZ = 95.4

∠X = 26.7°

∠Z = 85.3°

Read more about law of sines and cosines at: https://brainly.com/question/4372174

#SPJ3

One 16-ounce bottle of an energy drink has an average of 400 mg of caffeine with a standard deviation of 20 mg. What is the probability that the average caffeine in a sample of 25 bottles is no more than 395 milligrams?

Answers

That probability is about 10.6%.

What type of conic section is the following equation? 4x2 + y2 = 36

Answers

The terms are both squares, so it is not a parabola.

The signs of the terms are both positive, so it is a circle or an ellipse.

The coefficients of the terms are different, so it is not a circle, it is an ELLIPSE.

Answer:

Ellipse

Step-by-step explanation:

The signs of the terms are both positive, so it is either a circle or an ellipse.

The coefficients of the terms are different, so it can not be a circle.

Therefore it is an Ellipse.

the width of a rectangular picture is 13 in less than the length the area of the picture is 30in 2 what is the length of the picture

Answers

Let x represent the length of the picture. Then its width is represented by (x-13) and its area will be
  A = length*width
  30 = x(x -13)

This quadratic equation can be put into standard form and factored to find the solutions.
  x² -13x -30 = 0
  (x -15)(x +2) = 0
  x ∈ {15, -2}

A negative length makes no sense, so we conclude ...
  the length of the picture is 15 inches.
Answer:
2 would be your length. The exact length would be 2.3
Explanation: 
When we multiply using the formula your answer should always add up to 2.3

Caleb bought a car for $6,900. He agreed on a five-year loan at a 5.4% interest rate. Calculate what Caleb's monthly payments will be.

Answers

Final answer:

To calculate Caleb's monthly car payments, use the loan amortization formula that deals with compound interest, not simple interest. Input the loan amount of $6,900, the monthly interest rate (annual rate of 5.4% divided by 12), and the total number of payments (5 years times 12 payments per year) into the formula to find the monthly payment.

Explanation:

Caleb's car loan scenario comes under financial mathematics, specifically, it deals with loan amortization using the concept of compound interest. Since the car loan spans multiple years, compound interest is the accurate model to use, not simple interest. As opposed to simple interest which only accrues on the original amount or principal, compound interest accrues on the principal and all interest previously added.

The formula to calculate the monthly payment, P, on a loan is given by, where PV represents t

[tex]P = [r*PV] / [1 - (1 + r)^-n][/tex]

he present value or the amount of loan, which is $6,900 in this case; r is the monthly interest rate which can be calculated as annual interest rate divided by 12, translating to 0.054/12 in this case; and n is the total number of payments (i.e., 5 years of payments with 12 payments per year, hence, 5*12).

To calculate the monthly payment, plug these values into the formula which should give you the monthly payment amount that Caleb needs to pay for his car loan.

Learn more about Loan Amortization here:

https://brainly.com/question/34535413

#SPJ12

which word best describe 8(2x+4)

Answers

Hope it helped you.
~~~~~~~~~~~~~~~~~~

8*2 is 16

Then 8*4 is 32.

Answer is 16x+32

Distribution it should be used 8(2x+4).

-Charlie
The answer you are looking for is A. Coefficient.

A coefficient is a number that is in front of a variable. Examples of this are 6 in 6x, 100 in 100s, and 45 in 45h. Thus making 8 the coefficient of the problem.

There are also no like terms (like 4 and 6 or 5x and 9x), there is no inequality sign (greater than, less than, etc), and there are no constant variables (like 2 and 7 in the equation " 2x - 2 = 7).

I hope this helps!

What is the structural number of a pavement section with a1, a2 a3 = 0.44, 0.14, and 0.10 respectively if the depths are 5, 10 and 10 inches?

Answers

The pavemental section is 25 inches you just add them up.

Evaluate the expression. 10p5

Answers

So this is permutation.

The number of permutations of n objects taken r at a time is defined as [tex]_nP_r = \dfrac{n!}{(n-r)!}[/tex].

Here, you have 10 objects and 5 of them will be taken.

So that would be 10! / (10-5)! = 10! / 5! = 30240

Final answer: 30240

Hope this helps.

Answer:

The correct answer is

30,240

what is the solution to the system y= 3/4 x - 12 and y = 4x - 31

Answers

For the first one it would be no solution

A bag contains 8 yellow cubes,7 blue cubes,and 5 red cubes.If you select a cube at random,what is the probability the cube will not be blue or red

Answers

There are 20 total cubes. 

7/20 + 5/20 = 12/20 = probability that the cube WILL be blue or red. Can be reduced to 3/5

Therefore, the probability that the cube will NOT be blue or red is 8/20 or 2/5.

[tex] |\Omega|=20\\
|A|=8\\\\
P(A)=\dfrac{8}{20}=\dfrac{2}{5}=40\% [/tex]

A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square centimeters. A dart is randomly thrown at the dartboard. Assuming the dart lands in the rectangle, what is the probability that it lands inside the triangle?

To the nearest whole percent, the probability is

A) 18
B) 25
C) 35
D) 50

Answers

The answer is B) 25.
Hope this helps!!

Answer: B) 25

Step-by-step explanation:

Given: A rectangular dartboard has an area of 648 square centimeters.

The triangular part of the dartboard has an area of 162 square centimeters.

If a dart is randomly thrown at the dartboard. Assuming the dart lands in the rectangle, the probability (in percent) that it lands inside the triangle will be :

[tex]\dfrac{162}{648}\times100=25\%[/tex]

Hence, the probability that it lands inside the triangle = 25%.

In a woodworking you are planing boards to make shelves. The planer is set to remove 1/16 inch from a board on each pass the board makes through the planer. If a board starts out at 3/4 inch thick, how many times will you need to send it through the planer to get it down to 5/8 inch?

Answers

Material removed per pass = 1/16 in
Initial thickness = 3/4 in
Final thickness = 5/8 in

If x is the number of passes,
The material removed = (1/16)x in.
Therefore,
3/4 - (1/16)x = 5/8
3/4 - x/16 = 5/8
x/16 = 3/4 - 5/8 = 1/8
x = 16*1/8 = 2

Therefore, the board will be passed through the plane twice.

graph each question y =2x + 0.5

Answers

Use y=mx+b It helped me so much

in the following equation solve for t, 2t-s=p

Answers

2t-s=p Add

2t=p+s Divide

t=[tex] \frac{p+s}{2}[/tex]
2t-s=p
+s +s

2t=p+s
—- —-
2 2

T= (p+s)/2

Given that a = −4, b = −3. c = −2, d = −1, which gives the correct order from least to greatest for the rational numbers on a number line?

Answers

Final answer:

On a number line, the correct order from least to greatest for the given rational negative numbers is −1, −2, −3, and −4.

Explanation:

To correctly place the numbers a = −4, b = −3, c = −2, and d = −1 on a number line from least to greatest, we should start with the number that has the largest absolute value in the negative direction. Since negative numbers are greater when they have a smaller absolute value, the order from least to greatest is:

d < c < b < a

This means −1 is greater than −2, which is greater than −3, and −3 is greater than −4 on the number line.

The total cost of a prescription is $119.25. Mr. Jones's co-insurance plan requires him to contribute 15 percent of the cost. What's Mr. Jones's out-of-pocket cost for this prescription?

Answers

Final answer:

To find Mr. Jones's out-of-pocket cost for his prescription, calculate 15% of the total cost of $119.25, resulting in $17.89 after rounding.

Explanation:

The question asks us to calculate Mr. Jones's out-of-pocket cost for his prescription if his co-insurance plan requires him to pay 15% of the total cost. The total cost of the prescription is $119.25.

To find out Mr. Jones's out-of-pocket expense, we calculate 15% of $119.25:

Out-of-pocket cost = 15% of total cost
= 0.15 × $119.25
= $17.8875

So, Mr. Jones's out-of-pocket cost will be $17.8875, which we can round to $17.89 for practical purposes.

Other Questions
How is animal farm an allegory for the soviet revolution of the 20th century? In writing the term coherence refers to A. The use of evidence to back ones assertions B. The logical and smooth presentation of concepts C. The use of rhetorical devices to puntuate key points D. The employment of precise and carefully made word choices Which type of art or architecture from ancient Egypt has been adopted by the US government Find k if 64 k = 4 During an interrogation, an fbi agent tries to scare a suspect into making a confession by saying "you know, they have this new type of lie detector that can measure activity in different regions of the brain to determine whether a person is lying or telling the truth." what technology is the agent referring to? Benefits of a strong core include greater body control during movement more efficient exertion of power more effective metabolism and digestion greater flexibility of the lower body the hall family garden is 3/4 of an acre. if they divide their garden into 1/8 acre sections, how many sections will they have? The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Factor completely a2 - 9a + 20 Some people feared that the acquisition of new territory in the Mexican Cession wouldmake the issue of slavery worse.create problems with Mexico.likely lead to another war.make the country difficult to govern.spam post and i report l tiene una ___________ en su pierna. corte dolor cicatriz How is the ideal mechanical advantage of a wheel and axle calculated? 2.Find the annual percentage rate, using the annual percentage rate table.Amount Financed: $8,900Finance Charge: $1,030.62Number of Payments: 24 Matter's resistance to a change in motion is called _____ and is directly proportional to the mass of an object. For an object to change its state of motion, a force must be applied to it.A.VelocityB.inertiaC.distanceD.area Forgot to bring her lunch again. The above sentence is a fragment because itA.is an independent clause.B.doesnt have a subject .C.uses the wrong pronoun.D.needs a verb. PLSSSSS HELP :(Determine whether the following pair of lines are parallel, perpendicular, or neither.3x+4y=7 y=234x What factors affect the frictional force between objects ? A rhombus has diagonals 500 yd and 800 yd in length. Find the area in square miles. sally is comparing the prices of two window cleaning companies. company A charges $7 per window and ajbadditional $12 as service charges. company B charges $5 per window and an additional $15 as service charges. Part A: write an equation to represent each companys total charges for cleaning a certain number of windows, for both equations (one for company A and one for company B), define the variable used . Part b: how much would company A AND company B each charge for cleaning 8 windows ? Very quick please The supreme court issues __________ that are essentially written statements containing the legal reasoning behind the court's decisions.