Mathematics College

3 consecutive odd numbers whose sum is -63

Answers

Answer 1

Answer:

-23, -21, -19

Step-by-step explanation:

The middle one is the average of the three: -63/3 = -21. The others are 2 units either side of this one.

Related Questions

which number is irrational? A.0.7 repeating B. √3 C. 4/3 D. 3.14

Answers

By definition, we have:
In mathematics, an irrational number is a number that can not be expressed as a fraction m / n, where m and n are integers and n is different from zero.
It is any real number that is not rational, and its decimal expression is neither exact nor periodic.
Therefore, the following number is irrational:
√3
Its result is:
√3 = 1.732050808
Answer:
The following number is an irrational number:
B. √3

Penélope bakes pretzels. She salts 3/8 of the pretzels. Write a fraction that is equivalent to 3/8.

Answers

An equivalent is 6/16

3/8= (2*3)/(2*8)=6/16 generally we could says that (n*3)/(n*8) for n positive integer will be a equivalent fraction of 3/8

Find the derivative of y with respect to x. y= ((lnx)/(2+lnx))

Answers

Using the known theorem [tex]\left(\frac{f}{g}\right)'=\frac{f'g-g'f}{g^2}[/tex] you get
[tex]y'=\left(\frac{\ln x}{2+\ln x}\right) '=\frac{(\ln x)'(2+\ln x)-(2+\ln x)'\ln x}{(2+\ln x)^2}=\frac{\frac{1}{x}(2+\ln x)-\frac{1}{x}\ln x}{(2+\ln x)^2}[/tex].

Therefore, [tex]y'=\frac{\frac{2+\ln x}{x}-\frac{\ln x}{x}}{(2+\ln x)^2}=\frac{\frac{2}{x}}{(2+\ln x)^2}=\frac{2}{x(2+\ln x)^2}[/tex].

Shondra found large candles on sale at her favorite store. She has a large family and many friends, so she bought as many of the candles she could fit in her trunk to give as gifts. Her trunk is 2 feet deep, 4 feet wide, and 3 feet long. If each candle comes in a cube box with 1 foot edges, how many candles will fit in her trunk?

Answers

The trunk of the car is shaped like a rectangular prism whose volume is length * width * height.

The volume of the trunk is LWH = 3 ft * 4 ft * 2 ft = 24 ft^3

The volume of a cube is the cube of the side (edge)
.
Each cubic box has volume V = s^3 = (1 ft)^3 = 1 ft^3

Now we divide the volume of the trunk by the volume of each cube box.

[tex] \dfrac{24 ft^3}{1 ft^3} = 24 [/tex]

Answer: She can fit 24 boxes in her trunk.

32 15' 66" is the same as _____. Round to the nearest hundredth of a degree. Answer:

Answers

First, convert 15'66'' to degrees. Every degree is 60' and every minute (') is 60''. Thus, 15' x (1° / 60') = 0.25°and 66'' x (1' / 60'') x (1° / 60') = 0.01833°Add all the measurements in degrees including the 32° from the given. That is, 32° + 0.25° + 0.01833° = 32.268°Rounding the answer to the nearest hundredth gives us 32.27°.

Answer:

32.27

Step-by-step explanation:

find the values of x that satisfy

Answers

Setup 2 problems
2x - 7 < 15   and    2x - 7 > -15
2x < 22                  2x > -8
x < 11                    x > -4

Or you can write it -4 < x < 11

The point (5, -2) is rotated 90° about the origin. Its image is
a.(-2, 5)
b.(2, 5)
c.(-5, 2)

Answers

rotated 90° about the origin
(x,y) = (-y, x)

so (5, -2) is rotated 90° about the origin = (2, 5)

answer
b.(2, 5)

Shryia read a 480 page long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read. Let P(t) denote the number of pages to read P as a function of time t (measured in hours). Write the function's formula.

Answers

The correct answer is P(t)=-52t+480. Hope this helped.

Final answer:

The function representing the number of pages Shryia has left to read at a given time is P(t) = 480 - 52t, considering she reads at a constant rate of 52 pages per hour.

Explanation:

Shryia read a 480-page book in one session at a constant rate. Since P(t) represents the number of pages she has left to read at time t, after 1.5 hours, she had 402 pages left. To find the rate at which she reads, we can see that in 1.5 hours, she read 480 - 402 = 78 pages. Thus, her reading rate is 78 pages per 1.5 hours, or 52 pages per hour.

At time t=0, the book is completely unread, meaning P(0) = 480 pages. Her reading rate is constant, so the function is linear: for every hour that passes, 52 more pages are read. Therefore, the number of pages left, P(t), decreases by 52 for each hour. The function P(t) can then be defined as:

P(t) = 480 - 52t

How many square feet of outdoor carpet will we need for this hole?

Answers

The overall rectangle is 5' by 12', so 60 ft².

The rectangular cutout is 2' by 3', so 6 ft².
The triangular cutout has a 3' base and a 4' height, so is 6 ft².

The green area is 60 ft² - 6 ft² - 6 ft² = 48 ft².

You need 48 square feet of outdoor carpet for this green in your putt-putt golf course.

Q.8 What is the tail length?

Answers

If I'm correct you should make a fraction first
5.4 3.6
----- to -----
4.8 ?

Now find the missing number
5.4 to 3.6 would be a difference of ÷ 1.5 so you must do the same for 4.8

÷1.5
5.4 3.6
----- to -----
4.8 3.2
÷1.5

The tail length should be 3.2 feet

The tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.

The problem states that the alligator's tail length, [tex]$T$[/tex], varies directly with its body length, [tex]$B$[/tex]. When two quantities vary directly, we can express this relationship using a proportionality constant, often denoted as [tex]$k$[/tex]. In this case, we have:

[tex]$\frac{T_1}{B_1} = \frac{T_2}{B_2}$,[/tex]

where [tex]$T_1$ and $B_1$[/tex] are the initial tail length and body length, and [tex]$T_2$ and $B_2$[/tex] are the final tail length and body length.

Given that an alligator with a body length of 5.4 feet has a tail length of 4.8 feet, we can use this information to find [tex]$k$:[/tex]

[tex]$\frac{4.8}{5.4} = \frac{T_2}{3.6}$.[/tex]

Now, solve for [tex]$T_2$:[/tex]

[tex]$T_2 = \frac{4.8}{5.4} \times 3.6$.[/tex]

[tex]$T_2 \approx 3.2$ feet.[/tex]

So, the tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.

The tail length is 3.2 feet. This result confirms the direct variation between tail length and body length, where [tex]$T$[/tex] is proportional to [tex]$B$[/tex] with a proportionality constant of approximately 0.8889 (4.8/5.4).

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Please Help!!
In 1802. Albert Mathieu Favier imagined building a tunnel for horse drawn carriages underneath the English Channel. If the tunnel was 32 miles long and the carriage traveled 12 miles per hour, how long would it take to travel the length of the tunnel?

A. 2 hours and 40 minutes
B. 2 hours and 10 minutes
C. 3 hours and 10 minutes
D. 3 hours and 7 minutes

Answers

12 per hour

24 2 hours

36 3 hours

Closest answer would be (A) Im 100% Sure!!!

i think it would b B.
If you divide 32 and 12 then you get 2.66
Convert that to hours and minutes and you get 2 hr 10 mins

solve on the interval (0,pi)
1+cosθ=((sqrt3)+2)/2

Answers

[tex]\bf 1+cos(\theta )=\cfrac{\sqrt{3}+2}{2}\implies cos(\theta )=\cfrac{\sqrt{3}+2}{2}-1 \\\\\\ cos(\theta )=\cfrac{\sqrt{3}+2}{2}-\cfrac{2}{2}\implies cos(\theta )=\cfrac{\sqrt{3}\underline{+2-2}}{2}\implies cos(\theta )=\pm\cfrac{\sqrt{3}}{2} \\\\\\ cos^{-1}[cos(\theta )]=cos^{-1}\left( \pm\cfrac{\sqrt{3}}{2} \right)\implies \measuredangle \theta = \begin{cases} \frac{\pi }{6}\\\\ \frac{5\pi }{6}\\\\ \frac{7\pi }{6}\\\\ \frac{11\pi }{6} \end{cases}[/tex]

Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?

Answers

Divide 60 by 12 and multiply that answer by 7. Take that answer and subtract it from 60, the number you have left over should be the number of red balloons you have.

Answer: 25, mark brainlist

Step-by-step explanation:

At a movie, 1/4 of the people in the theater were men, 5/8 were woman l, and the rest were children. If there were 100 more woman than children, what was the total number of people in the theater.

Answers

Let
x---------------> number of men in the theater
y---------------> number of women in the theater
z---------------> number of children in the theater
T--------------> total number of persons in the theater

we know that
T=x+y+z
x=(1/4)*T
y=(5/8)*T----------> equation 1
z=T-[(1/4)*T+(5/8)*T]-----> z=T-(7/8)*T------> z=(8*T-7*T)/8------> z=(1/8)*T
z=(1/8)*T----------> equation 2

y=100+z--------> equation 3
I substitute (1) and (2) in (3)
(5/8)*T=100+(1/8)*T------> (5/8)*T-(1/8)*T=100--------> T=200 persons

the total number of people in the theater was 200 persons
number of men in the theater------> 200*(1/4)=50 men
number of women in the theater----> 200*(5/8)=125 women
number of children in the theater----> 200*(1/8)=25 children

(a) A convex, 11-sided polygon can have at most how many obtuse interior angles? (b) A convex, 11-sided polygon can have at most how many acute interior angles?
Please provide an explanation!

Answers

A) All 11 interior angles may be obtuse.
B) At most 3 interior angles may be acute.

Explanation:
A) To find the sum of the angles of a polygon, we use (n-2)(180), where n is the number of sides. We would then have (11-2)(180)=9(180)=1620. If the polygon is regular, we divide this by the number of sides; 1620/11 = 147.23. Thus all 11 angles would be obtuse in a regular 11-sided figure.

B) All interior angles of a polygon have an exterior angle that is supplementary to it. If the interior angles are acute, that means the exterior angles are obtuse. Likewise, if the interior angles are obtuse, the exterior angles would have to be acute.

The sum of the exterior angles of any polygon is 360. This means there can be no more than 3 obtuse exterior angles; since obtuse means greater than 90, if there were 4 obtuse angles, 4 angles greater than 90, the sum would be more than 360. If there can be no more than 3 obtuse exterior angles, then there can be no more than 3 acute interior angles.

a step on a stairway is at least 8 inches high. Write and solve an inequality to represent the minimum number of steps between floors that are 10 feet apart

Answers

The hight of the step is

h ≥ 8 inches

If we take that in one feet we have twelve inches

The hight between floors are H=10ft = 120 inches

If we named number of steps with n, the appropriate inequality is

n ≤ 120/8 => n ≤ 15

Good luck!!!!

Answer:

If a step is "at least" 8 inches high, the minimum number of steps is theoretically 1, because that 1 step could be a 10-foot high step.

Step-by-step explanation:

if the triangle PQR sin(P)=0.2,sin(R=)0.4 and r=22 what is length of p

Answers

we know that
the law of sines
a/sinA=b/sinB=c/sinC

then
p/sinP=r/sinR--------> p=r*sinP/sinR-------> (22*0.2)/0.4------> p=11

the answer is p=11 units

Answer:

Thank you

Step-by-step explanation:

I don’t really get it please help me out!

Answers

The greatest amount of sap collected was 1 gallon. The lowest was 1/4 of a gallon. 1 gallon is 4 times as great as 1/4. So the answer is 4.

A computer screen consists of small rectangular dots called pixels. Find the number of pixels on a screen that has 600 rows with 700 pixels in each row. PLEASE HELP.

Answers

It's just like finding the area of a figure. The length is 700 and the width is 600
A = LW
A = 700 * 600
A = 420,000 square units
There are 420,000 pixels on the screen.

Hope this helps =)

Answer:
Number of pixels = 420000 pixels

Explanation:
The pixels are covering the whole area of the computer screen. This means that to the number of pixels, we will simply need to get the area of the computer.
Number of pixels = area of computer screen = length * width
Number of pixels = 600*700 = 420000 pixels

Hope this helps :)

Suppose a shipment of 140 electronic components contains 3 defective components. to determine whether the shipment should be accepted, a quality-control engineer randomly selects 3 of the components and tests them. if 1 or more of the components is defective, the shipment is rejected. what is the probability that the shipment is rejected?

Answers

Final answer:

To find the probability that a shipment of 140 electronic components, with 3 defects, is rejected upon testing 3 components, calculate the complement (all non-defective) and subtract from 1.

Explanation:

The question involves determining the probability that a shipment containing 140 electronic components, with 3 being defective, is rejected based on a quality-control test of 3 components. To solve, consider the complementary probability - the chance all selected components are non-defective. First, calculate the probability of picking 3 non-defective components: (137/140) * (136/139) * (135/138). Then, subtract this probability from 1 to find the probability of the shipment being rejected.

1 - [(137/140) * (136/139) * (135/138)] equals the probability the shipment is rejected. After performing the calculations, you find that the shipment's rejection probability is determined by the presence of at least one defective component in the tested sample.

the sum of two numbera is 122. the second number is 18 less than three times the first number. find the numbers. help please!

Answers

so you can write two equations
x + y = 122
y = 3*x - 18
by substitution:
x + (3x - 18) = 122
now you simplify:
4x - 18 = 122
4x = 140
x = 35
to find y, you can use the first equation
35 + y = 122
y = 87

Determing wheter two ratios form a proportion

Answers

(2 3/8)/(1 1/2) = (19/8)/(3/2) = (19/8)*(2/3) = 19/12

(9 1/2)/6 = (17/2)/6 = 17/12

17/12 ≠ 19/12

The two pairs of numbers are NOT proportional.

2x+1=3(x+1)-x-2 solve for x

Answers

2x+1=3(x+1)-x-2
2x+1=3x+3-x-2
2x+1=2x+1
2x=2x
x=x

infinite answers

A basketball player gets 2 free-throw shots when she is fouled by a player on the opposing team. She misses the first shot 40% of the time. When she misses the first shot, she misses the second shot 5% of the time. What is the probability of missing both free-throw shots?

Answers

The probability that the player misses the first shot = 40% = 0.4

When first shot is missed, the probability that she misses the second shot = 5% = 0.05

The probability of missing both shots will be the product of the probabilities of missing individual shots which will be:

Probability of missing both shots = 40% x 5% = 0.4 x 0.05 = 0.02 = 2%

Thus there is a 2% probability that the basketball player misses both free-throw shots.

what is the common ratio of the geometric sequence below? -96,48, -24, 12, -6,..

Answers

Hey there :)

-96, 48, -24, 12, -6

Each term is divided by - 2 or multiplied by [tex] -\frac{1}{2} [/tex]

[tex] \frac{48}{-96} [/tex] = [tex] -\frac{1}{2} [/tex]
[tex] \frac{-24}{48} [/tex] = [tex]- \frac{1}{2} [/tex]
[tex] \frac{12}{-24} [/tex] = [tex]- \frac{1}{2} [/tex]
[tex] \frac-{6}{12} [/tex] = [tex]- \frac{1}{2} [/tex]

The common ratio is -[tex] \frac{1}{2} [/tex]

The common ratio of the given geometric sequence is [tex]-\frac{1}{2}[/tex], as each term is half the value and opposite in sign of the previous term.

The common ratio of a geometric sequence can be found by dividing any term by the previous term. In the given sequence, -96, 48, -24, 12, -6,..., let's divide the second term by the first term:

Common ratio (r) = [tex]\frac{48 }{-96} = -\frac{1}{2}[/tex]

This ratio will be consistent throughout the sequence. For example, dividing the third term by the second term also gives [tex]-\frac{24 }{ 48} = -\frac{1}{2}[/tex], confirming that the common ratio is indeed [tex]-\frac{1}{2}[/tex].

5 quarts =how many fluid ounces

Answers

160 fluid ounces :) hope this helped

1 us liquid quart= 32 us fluid ounces

multiply the number of quarts by 32 ounces per quart

= 5 quarts * 32 oz/qt
= 160 fluid ounces

ANSWER: There are 160 fluid ounces in 5 quarts.

Hope this helps! :)

Melissa had 56 pens and 37 pencils thanks. How many pencils did Melissa have?

Answers

Just by adding both of these, pens and also pencils, these actually both signify the same word, "pencils".

We do . . . .

[tex]\boxed{56+37=3}[/tex]

(93) should be your correct answer!

Experts/ace/geniuses helpp

Answers

because the .21 is repeating the fraction is:

1 and 21/99

0.2121... = 21 / 99

So your answer is 1 21/99 = 120 / 99 answer

Rebekah wants to read a certain number of pages each day during summer vacation. Today she reads 204 pages, which is 136% of her goal. How many pages does Rebekah want to read each day?

Answers

Rule of three
Pages %
204 → 136%
x → 100% (her goal)

x=204*100%/136%
x=150 pages

Answer: Rebeca wants to read 150 pages each day

Given that Rebekah wants to read a certain number of pages each day and today she has read a total of 204 pages which is 136% of her goal, to find the number of pages that she wants to read per day we proceed as follows:
The percentage of pages she wants to read is 100%
thus the number of pages represented by this is:
100/136×204
=150 pages

Yolanda closed on a 20 year home loan for $83,000. she chooses to buy only 1 point at closing. by buying a point at her closing, yolanda reduced her monthly payment by $7.63. based on the fact that yolanda chose to buy a point at closing, what would you infer is the minimum amount of time that she will own the home? A) 6 Years B) 11 Years C) 16 Years D) 20 Years

Answers

The correct answer is B) 11 years

Minimum amount of time that Yolanda will own the home is for at least 11 years

What is Division?

A division is a process of splitting a specific amount into equal parts.

To calculate the minimum amount of time that Yolanda will own the home

We need to determine how long it will take for the monthly savings to equal the cost of the point.

One point is equal to 1% of the loan amount, so Yolanda paid $830 (1% of $83,000) at closing for the point.

To find out how many months it will take for the monthly savings to equal the cost of the point, we divide the cost of the point by the monthly savings:

$830 ÷ $7.63 = 108.77 months

Since there are 12 months in a year, 108.77 months is 11 years.

Therefore, we can infer that Yolanda will own the home for at least 11 years

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