What is the simplest form of the expression?
✓4502 +502 + 425
Assume all variables are positive.

Given:

A line segment AB.

A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,

[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]

Let AP and AB are 3x and 10x, then

[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]

[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]

It means, point P divided the line segment in 3:7.

Using section formula, we get

[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]

[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]

[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]

[tex]P=\left(0.8,-2.3\right)[/tex]

Therefore, the coordinates of the required point are (0.8, -2.3).

Answer:

10$ each

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

hhahaha

Answer:

solution

4%=260

100%=?

=(100x260)/4

=6500

Percentage of fans in the stadium who were teenagers = 4%

Number of teenagers in the match = 260

Let the total number of people at the stadium be x.

Which means :

[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]

[tex] =\tt \frac{4}{100} \times x = 260[/tex]

[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]

[tex] = \tt \frac{4x}{100} = 260[/tex]

[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]

[tex] =\tt x = \frac{26000}{4} [/tex]

[tex]\color{plum} =\tt x = 6500[/tex]

▪︎Therefore, number of people at the stadium = 6500

Answer:

4 option...... .......

Answer:

el 3

Step-by-step explanation:

Step-by-step explanation:

step 1. a function must only have a single y value for each x value.

step 2. for the input x, there can only be one output or result y.

step 3. #1 is a function because for each x there is only one y.

step 4. #2 and #3 are functions also.

step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)

step 6. (2, 2) and (2, -2) also makes #4 not a function.

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

Answer:

1 AM = 58 Degrees

9 AM = 76 Degrees

Difference of temperate between the times:

18 Degrees

Divide every hour that passes by the total difference of temperate, which the hours are: 2, 3, 4, 5, 6, 7, 8, 9

18 / 8 = 2.25

Which means, the rate of change in degrees per hour is 2.25 degrees.

Step-by-step explanation:

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

Answer:

y = -11/4

Step-by-step explanation:

2 ( -4y - 7) + 3 = 11

-8y - 14 + 3 = 11

-8y - 11 = 11

-8y = 22

y = -11/4

Answer:

12

Step-by-step explanation:

-4 + 12 =7

Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

     = 3.14 x 289

     = 907.46

     ≈ 907.5

Hope this helps :)

Answer:

puto el que lo lea

Step-by-step explanation:

jajajaja lol no

Answer:

5

Step-by-step explanation:

40+5=45. 45/9=5

Answer:

$10.50

Step-by-step explanation:

15% of 70 = $10.50

Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)

Answer: $10

Step-by-step explanation:

15%= 0.15

67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.

Answer:

15 tables with 4 seats and 8 tables with 2 seats.

Step-by-step explanation:

x = 4 seated tables

y = 2 seated tables

x + y = 23

4x + 2y = 76

Multiply first equation by -2 to cancel y's:

-2x - 2y = -46

4x + 2y = 76

2x = 30

x = 30 / 2

x = 15

And we said 23 tables so:

23 - 15 = 8

x = 15

y = 8

Answer:

It would be .31 cents, I believe

Step-by-step explanation:

Just divide 31 by 100 and you'll get your answer.

:)

Answer:

24 1/3

Step-by-step explanation:

long division

The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For this case, we are specified that:

40% of N = 240

Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get

[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)

Now, solving it further to get value of N:

[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]

Thus,  40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

65/56 = 1  9/56

Step-by-step explanation:

Answer:

Step-by-step explanation:

16/56 + 49/56 = 65/56= 1 9/56

Answer:

7% interest = $10000

13% interest = $20000

Step-by-step explanation:

Let the amount invested at 7% interest be x.

Let the amount invested at 13% interest be y.

Thus;

x + y = 30000 - - - (eq 1)

We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.

Thus;

0.07x + 0.13y = 0.11(30000)

Multiply through by 100 to get rid of the decimal;

7x + 13y = 0.11(30000 × 100).

7x + 13y = 330000 - - - (eq 2)

From eq 1, x = 30000 - y

Put this for x in eq 2 to get;

7(30000 - y) + 13y = 330000

210000 - 7y + 13y = 330000

6y = 330000 - 210000

6y = 120000

y = 120000/6

y = $20000

x = 30000 - 20000

x = $10000

Thus;

Amount invested at;

7% interest = $10000

13% interest = $20000

Answer:

Carbon

Step-by-step explanation:

When the power of 10 is negative, the less the exponent the bigger the number

Answer:

Step-by-step explanation:

the larger number is 1.995x10^-23

Answer:

It should be the first quadrant

Hope that helps!

Answer:

Step-by-step explanation:

This would be -27/3 = -9

Answer:  x(0,0)y(0,0) tell me more I don't really understand it

x=3.4

Step-by-step explanation:

Answer:

Some kind of evadence

Step-by-step explanation:

Answer:

Im pretty sure it would be C.

Step-by-step explanation:

Sine a signature, photograph and quotes are all pieces of evidence, you can rule them out and infer that c would be the most reliable answer.

Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

Hope this helps! Have a grrrreat day lol

50°

Step-by-step explanation:

notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°

Answer:

100

20 = 50

50 x2

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

250 books × 40%

= 100

other way to solve it is

250 × 0.40

= 100 fiction books

Answer:

36p is the correct answer