When a number is multiplied by itself and 2 is added to it, the result is 227. What is the number?​

Answers

Answer 1

Let number be x

[tex] \leadsto \sf {x}^{2} + 2 = 227[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{2} = 227 - 2[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{2} = 225[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = \sqrt{225} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = \sqrt{15 \times 15} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x} = 15[/tex]

Number = 15


Related Questions

Which best defines a compare and contrast text structure? Compare and contrast texts demonstrate the similarities and differences between two or more topics. Compare and contrast texts explain why things happen in terms of reasons and results. Compare and contrast texts outline a process or series of events in a time order from beginning to end. Compare and contrast texts outline different steps of a procedure in an ordered sequence.

Answers

Answer:

A) Compare and contrast texts demonstrate the similarities and differences between two or more topics

Step-by-step explanation:

Compare and Contrast is a text structure (or pattern of organization) where the similarities and differences of two or more things is discussed/explored.

Graph the data.

Find and interpret the slope of the line through the points.

Answers

Answer:

-see link below for graph

-slope- 6/270

Step-by-step explanation:

link in comments

Question 2
2.1
A car travels for 1 hour 30 minutes and covers a distance of 150 km. How
long (In hours and minutes) will it take the car to cover a distance of 260 km
at the same average speed?

Answers

Answer :

2 hours 36 minutes

Step-by-step explanation :

speed = distance / time

Distance = 150 km

time = 1 hour 30 minutes

= 1,5 hours

[tex]speed = \frac{150 \: km}{1.5 \: hours} [/tex]

[tex] speed = 100 \: km/hour[/tex]

Answer :

How long will it take the car to cover a distance of 260 km at the same average speed ?

Time = Distance/Speed

= 260 km / 100 km/hour

= 2,6 hours

____________________

to convert hours to hours and minutes we can multiply by 60.

2, 6 hours

2 hours and 0,6 hours

0,6 = 3/5

3/5 × 60

60 ÷ 5 × 3

36 minutes

2,6 hours = 2 hours 36 minutes

If eight people can fit at the dinner table, how many tables will be needed for 148 dinner guests?

Answers

148/8 = 18.5

Nineteen tables. After all, you can’t have half a table

Please answer!
Today, everything at a store is on sale. The store offers a 20% discount.

The discount price of a hat is $20. What is the regular price?

Answers

Answer:

$25

Step-by-step explanation:

$20 = 80%

100% to 80% = x 0.8 ( you have to do inverse)

$20/ 0.8 = $25

pls help me

Lena wants to rent a boat and spend at most $91. The boat costs $8 per hour, and Lena has a discount coupon for $5 off. What are the possible numbers of hours Lena could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.

Answers

Answer:

8t - 5 ≤ 91

8t ≤ 96

t ≤ 12

 

Christine can spend up to 12 hours in the boat.

The sum of two numbers is 3, and their quotient is 2. What are the two numbers?

Answers

Answer:

The answer is 2 and 1

Step-by-step explanation:

Sum means to add, so you are looking for two numbers that add up to equal 3.

2+1=3

Quotient means to divide, So secondly you would for two numbers that when divided equals 2

2 divided by 1 =2

hope this helps mark brainliest please :)

At her last practice, she made 70% of her shots from the free-throw line. If
she shot the ball 130 times

How many times did she make a free throw

Answers

Answer:

ahem...

the answer you are looking for is.....

91! :)

Use the FOIL method to find the product.
(s + 10)(s - 8)

Answers

Answer:

s²+2s-80

Step-by-step explanation:

First (first in each parentheses)

Outside (the two terms on the outside of the expression)

Inside (the two terms in the inside of the expression)

Last (last in each parentheses)

An example:

(a+b)(c+d)=ac+ad+bc+bd

Therefore...

(s+10)(s-8)=(s)(s)+(s)(-8)+(10)(s)+(10)(-8)=s²-8s+10s-80=s²+2s-80

The students in Mr. Philips science class folded paper airplanes and threw them to see whose airplane would fly the farthest. They recorded the distances in both meters and centimeters. Based on this information, what is the measurement in centimeters of a paper airplane that flew 4.5 meters?
A) 450 centimeters
B) 405 centimeters
C) 45 centimeters
D) 4,050 centimeters

Answers

Since the airplane flew 4.5m, this means that it flew 450cm.

Simplify −8.5(0.3+0.4)÷(−5)+0.31.

Answers

Answer:

1.5

Step-by-step explanation:

Find the area of each trapezoid.​

Answers

Step-by-step explanation:

(1). 1/2(5.6+14)(9)

1/2(19.6)(9)

(9.8)(9)

=88.2

(2). 1/2(14+9)(8)

1/2(23)(8)

(11.5)(8)

=92

(3). 1/2(4+6.1)5.2

1/2(10.1)5.2

(5.05)(5.2)

=26.26

1.) 88.2 cm²

2.) 92 cm²

3.) 26.26 m²

4.) 131.25 dm²

5.) 4 m²

Solve the problem.
Two cars leave a city and head in the same direction. After 5 hours, the faster car is 40 miles ahead
of the slower car. The slower car has traveled 275 miles. Find the speeds of the two cars.
(A) 55 mph and 63 mph
B) 80 mph and 88 mph
C 57 mph and 65 mph
D) 47 mph and 55 mph

Answers

Answer:

A

Step-by-step explanation:

Let x = speed of the faster car, y = speed of the slower car

after t = 5 hours, distance of slower car = 275 = 5 * y, so y = 275/5 = 55 mph

distance of faster car = 275 + 40 = 315 miles

then x = 315/5 = 63 mph

Answer: A

What is the area of this trapezoid?

Answers

Answer:

The area of the trapezoid is 40 ft

Step-by-step explanation:

11ft + 14ft + 15ft = 40 ft

*please help with my 1st question *

The area of the trapezoid is 40ft

Pierre’s unicycle wheel had a diameter of 80cm.

a) how far does the unicycle move if the wheel turns once?
Give your answer in metres, correct to 2 decimal places.

Answers

251.20 50 I think is the answer maybe not but at least try

Your class sold cupcakes and brownies at a bake sale.you sold cupcakes for $1.50and brownies got $1.25.after selling 23items, you made $31.75.how many cupcakes did you sell?how many brownies?

Answers

Answer:

12 cupcakes were sold

11 brownies were sold

Step-by-step explanation:

Let c = number of cupcakes sold

Let b = number of brownies sold

Total number of items sold = 23

⇒ b + c = 23

cupcake = $1.50 each

brownie = $1.25 each

Total money made = $31.75

⇒ 1.5c + 1.25b = 31.75

Rewrite  b + c = 23  to make b the subject, substitute into 1.5c + 1.25b = 31.75 and solve for c:

⇒ b = 23 - c

⇒ 1.5c + 1.25(23 - c) = 31.75

⇒ 1.5c + 28.75 - 1.25c = 31.75

⇒ 0.25c + 28.75 = 31.75

⇒ 0.25c = 3

⇒ c = 12

So 12 cupcakes were sold

Substitute found value for c into  b + c = 23  and solve for b:

⇒ b + 12 = 23

⇒ b = 11

So 11 brownies were sold

Water is flowing into the tank at a rate of 5 litres per minute. At the same time water flows out of the tank at a rate of k litres per minute. The volume (in litres) of water in the tank at time t (in minutes) is given by the formula V(t) = 100-4t. What is initial volume of water in the tank?


Answers

Answer:

100 heavy on the way the calculations and the way solution of equipment and the questions

V(t)=100-4t so at the beginning of the experiment t=0

so you substitute to the given formula

V(0)=100-4(0)

=100litres .

A) 1/5 + 3/10

B) 7/8 - 1/4

Work out then simplify

Answers

Answer:

please follow me and take thanks

In hockey, a player gets credited with a “point” in their statistics when they get an assist or goal. The table shows the number of assists and number of points for 15 hockey players after a season.

assists points
22 28
16 18
46 72
19 29
13 26
9 13
16 22
8 18
12 13
12 17
37 50
7 12
17 34
27 58
18 34
Make a scatter plot of this data. Make sure to scale and label the axes.

Answers

The data for the assist forms the possible x-values, while the data for the

points represent the y-values of the scatter plot.

Response:

Please find attached the required scatter plot created with MS Excel

How is the scatter plot of the data created?

The given table is presented as follows;

[tex]\begin{tabular}{|c|c|c}Assist&Points\\22&28\\16&18\\46&72\\19&29\\13&26\\9&13\\16&22\\8&18\\12&13\\12&17\\37&50\\7&12\\17&34\\27&58\\18&34\end{array}\right][/tex]

A scatter plot of the above data can be created using MS Excel, by

entering the values into cells as presented above, selecting all values,

and selecting Insert then Scatter from the Chart sub-menu.

The scatter plot of the data is attached

Learn more about scatter plots here:

https://brainly.com/question/3083461

2) ONE 200 - Gram bag of rice cost $8.12. How much does 1 kilogram of rice cost? (Note that 1000g = 1kg.)

Answers

1000 gram = 1 kilogram
If 200 gram = $8.12. 1, it means we can get 5 bags of such amount (1000/200 = 5)
Therefore, 1kg = $8.12 * 5 = $40.6

Find the area and perimeter thank you math experts have a wonderful day

Answers

Answer:

All below;

Step-by-step explanation:For the left shape;

Green question mark = 10

50 (longer opposite side) - 40 = 10

Red question mark = 20

30 (longer opposite side) - 10 = 20

Perimeter = 160

30 + 50 + 10 + 40 + 20 + 10 = 160

Area = 700

30 * 50 = 1500; (Total area if it were fully a rectangle)

40 * 20 = 800; (Chunk of rectangle that is missing)

1500 - 800 = 700 (Total area - missing space)

For the right shape;

Green question mark = 14

Opposite of the other side

Red question mark = 20

35 (longer opposite side) - 15 = 20

Perimeter = 152

35 + 22 + 20 + 14 + 10 + 14 + 15 + 22 = 152

Area = 630

35 * 22 = 770; (Total area if it were fully a rectangle)

14 * 10 = 140; (Chunk of rectangle that is missing)

770 - 140 = 630 (Total area - missing space)

I need help with question c

Answers

Answer:

take the common between dy and y

do similarly also with x .and make a equation


The area of a rectangle is
5x+40ft. Factor 5X +40 feet to find the area

Answers

[tex]5x+40 = 5(x+8)[/tex]

A triangle has a 60 degree angle, and the two adjacent sides are 12 and 12 times the square root of 3. Find the radius of a circle with the same vertex as a center, if the arc inside the triangle divides it into two regions of equal area.

Please somebody ?

Correct answer gets BRAINLIEST !

Answers

The radius of the circle is a line from the center of the circle to its circumference

The radius of the circle with the same vertex as a center is 10.16 units

How to determine the radius

From the question, we understand that:

The adjacent sides of the triangle are 12 and [tex]12\sqrt 3[/tex]The triangle has an angle of 60 degrees

Start by calculating the area of the triangle using:

[tex]Area = 0.5ab\sin C[/tex]

So, we have:

[tex]Area = 0.5 * 12 * 12\sqrt 3 *\sin (60)[/tex]

This gives

[tex]Area = 0.5 * 12 * 12\sqrt 3 * \frac{\sqrt 3}{2}[/tex]

[tex]Area = 108[/tex]

The arc divides the triangle into two equal regions.

So, the area of the arc is:

[tex]Arc = 0.5 * Area = 0.5 * 108[/tex]

[tex]Arc = 54[/tex]

Also, the area of the arc is:

[tex]Arc = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Arc = \frac{60}{360} *3.14 * r^2[/tex]

Simplify

[tex]Arc = 0.523 * r^2[/tex]

This gives

[tex]0.523 * r^2 = 54[/tex]

Divide both sides by 0.523

[tex]r^2 = 103.25[/tex]

Take the square roots of  both sides

[tex]r = 10.16[/tex]

Hence, the radius of the circle with the same vertex as a center is 10.16 units

Read more about circumcised triangles at:

https://brainly.com/question/4268382

Solve the system.
x = y +2
3x = 6 (y + 2)

Answers

Answer:

(x , y)=(0 , -2)

Step-by-step explanation:

Hello everyone, I'm just having trouble on a question for my Calculus work. Does anyone know where to start with this problem? Any help would be greatly appreciated!

Answers

Answer:

  sin(8w)/1024 -sin(4w)/128 +3w/128

Step-by-step explanation:

No doubt there are a variety of formulas and identities that can be used. Absent knowledge of those, I found it convenient to rewrite the integrand using Euler's formula. It tells you ...

  [tex]\sin(x)=\dfrac{e^{ix}-e^{-ix}}{2i},\quad\cos(x)=\dfrac{e^{ix}+e^{-ix}}{2}[/tex]

After some only slightly messy algebra, we find ...

  [tex]\cos^4(w)\sin^4(w)=\dfrac{\cos(8w)-4\cos(4w)+3}{128}[/tex]

Then the integral becomes straightforward:

  [tex]\displaystyle \int{\cos^4(w)\sin^4(w)}\,dw=\int{\dfrac{\cos(8w)}{128}}\,dw-\int{\dfrac{\cos(4w)}{32}}\,dw+\dfrac{3}{128}\int{}\,dw\\\\=\boxed{\dfrac{\sin(8w)}{1024}-\dfrac{\sin(4w)}{128}+\dfrac{3w}{128}}[/tex]

__

Additional comment

The slightly messy algebra involves the identities ...

  (a+b)(a-b) = a² -b²

  (a -b)⁴ = a⁴ -4a³b +6a²b² -4ab³ +b⁴

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

This means the given integrand is equivalent to

cos⁴(w) sin⁴(w) = (cos(w) sin(w))⁴ = (1/2 sin(2w))⁴ = 1/16 sin⁴(2w)

Also recall the half-angle identities for sine and cosine:

cos²(x) = 1/2 (1 + cos(2x))

sin²(x) = 1/2 (1 - cos(2x))

Then we can rewrite further as

1/16 sin⁴(2w) = 1/16 (sin²(2w))²

… = 1/16 (1/2 (1 - cos(4w)))²

… = 1/16 (1/4 (1 - 2 cos(4w) + cos²(4w))

… = 1/64 (1 - 2 cos(4w) + 1/2 (1 + cos(8w)))

… = 1/128 (3 - 4 cos(4w) + cos(8w))

You'll end up with the same solution as in the other answer:

[tex]\displaystyle \int \cos^4(w)\sin^4(w) \, dw = \frac1{128} \int (3 - 4\cos(4w) + \cos(8w)) \, dw \\\\ = \frac{3w-\sin(4w)+\frac18\sin(8w)}{128} + C \\\\ = \boxed{\frac{24w-8\sin(4w)+\sin(8w)}{1024} + C}[/tex]

You rent an apartment that costs $900 per month during the first year, but the rent is set to go up $170 per year. What would be the monthly rent during the 10th year of living in the apartment?

Answers

The monthly rent of the apartment in the 10th year is  $1041.67.

What is the  monthly rent during the 10th year of living in the apartment?

The first step is to determine the yearly rent in the first year of living in the apartment.

Yearly rent = $900 x 12 = $10,800

The second step is to determine the yearly rent in the 10th year

$10,800 + (170 x 10) = $12,500

The third step is to determine the monthly rent

Monthly rent = $12500 / 12 = $1041.67

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

243

Step-by-step explanation:

Brittany has $900 in a savings account that earns 10% annually. The interest is not compounded. How much interest will she earn in 1 year?

Answers

Answer:

90$

Step-by-step explanation:

You multiply the number by 0.10 for your answer.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (900)(0.10)(1)\implies I=90[/tex]

When u need 20 characters or more
The women in the house across the street from the girl in the window

Answers

Answer:

what? I don't understand what your trying to say

How many different pairs of faces are congruent in a rectangular prism that is not a cube

Answers

Answer:

2

Step-by-step explanation:

every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other

Other Questions
Really need help! ;(Could you please explain it? :) GIVING 10 POINTS How did Henry Clay and John Q Adams team up to allow John Q. Adams to defeat Andrew Jackson in the 1824 election? I need help with this please???? Seventy percent of a roof, or 1400 square feet of the roof, has been re-shingled. What is the total area of the roof? 2000 sq ft 9800 sq ft 20,000 sq ft 98,000 sq ft. Mateo wants to buy a new guitar and amp that will cost about $2,500. He works part time at a cafe and brings home around $500 per week. He tells his friends he plans to buy the guitar in about two months. What detail of this goal is missing? How woils I solve number 14 Im puzzled A star such as the Sun starts out as a protostar with a diameter a hundred times larger than its diameter during its main-sequence lifetime. Accordingly, the protostar's temperature is much less than its main-sequence temperature. Assume that while the Sun was a protostar it had a diameter 95.00 times that of the present-day Sun. How many times greater was the protostar's surface area PLEASE HELP!!!!!!!!! WILL GIVE 30 POINTS AND MARK BRAINLIEST Explain why a food web is a more realistic model of energy flow than a food chain. Question 2Screenshot 35 POINTS ALOT!Describe your strategy to calculate the area of the shaded region. (5 pts)b. Calculate the area of the shaded region. (5 pts) Mayas credit card has an APR of 11. 84% and a billing cycle of 30 days. The table below shows her transactions with that credit card in the month of September. Date Amount ($) Transaction 9/1 395. 61 Beginning balance 9/8 24. 13 Purchase 9/13 68. 57 Payment 9/26 31. 77 Purchase Find Mayas finance charge for September using the previous balance method, the adjusted balance method, and the daily balance method. Among those three possible finance charges, what is the value of the one which is neither lowest nor highest? a. $3. 79 b. $3. 90 c. $3. 68 d. $4. 45. Which macronutrients provide 4 kilocalories per gram?. Two cars leave a city and head in the same direction. After 6 hours, the faster car is 30 miles ahead of the slower car. The slower car has traveled 276 speeds of the two carsmiles. Find the speed of the two cars Help please :((((Four movers pushed different boxes across a floor for the same distance. The table shows how much force each mover used, the time it took to move the box, and the mass of thebox. Force Time. Mass of boxAkira: 155 5 15Maddie: 120 10 15Jayden: 90 3 18Hamid: 160 10 22Please help!!! I really need to pass this class! 2. Lawn tickets cost $30 each and seat tickets cost $50each. The organizers want to make at least $14,000from ticket sales.If you know that exactly 200 seat tickets were sold,what can you say about the number of lawn tickets? The Parks and Rec department has an opening for a Solver of Linear Equations. Since Leslie is great at solving systems of linear equations she zealously offers to give all candidates a quick demonstration. She finds the LU factorization of a 2000 x 2000 matrix in 78125 seconds. She then takes another 25 seconds to apply both triangular substitutions (backward and forward) to solve the system of equations Mx = y for a given vector Y. The candidates are supposed to estimate (without actually running any code) the time it takes to factorize and efficiently solve a similar system of linear equations Ax =b, where A is a square matrix with dimension 500, given 30 different right-hand side b vectors. Determine if the sequence below is arithmetic or geometric and determine thecommon difference / ratio in simplest form.12, 9, 6, ... Template for Creating a virtual museum exhibit. On what point are Gompers and Grosscup in agreement?Group of answer choicesMonopolies in industry are a threat to free competitionTechnology has changed the material structure of civilizationThe progress made since 1800 has benefitted everyone equallyWorking people have a right to free assembly and free speech How were the Alien and Sedition Acts an unconstitutional expansion of political powers