7.
What is the slope of the line that contains the points (-1, 2) and (3, 3)?

Answer:

First Q: The smallest value for which n works is 11.

Second Q: Smallest here is 17.

Third Q: I don't know this one, sorry!

Fourth Q: n is -10.

Step-by-step explanation:

For the first two questions, find the smallest common factor between the two numbers (subtract the remainder).

Q1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

These two numbers share 11 and 13 in common. 11 is the smaller of these, so it is the smallest value n can work.

Q2:

Repeat the steps from Q1.

12650 - 2 = 12648; 5800 - 3 = 5797

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

These two share 17, 31, and 527 in common. 17 is the smallest of these, so it is the smallest value n can work.

Q4 (I don't know how to do Q3 yet):

2n + 25 = n + 15

Subtract n from both sides

n + 25 = 15

n = 15 - 25

Subtract 25 from 15 to get -10

n = -10

Again, I don't know how to do Question 3 yet. Sorry for the inconvenience! Anyhow I hope the rest of this was helpful!

The least possible natural number n is 11.

Given that, when you divide 2149 by n, the remainder is 4. When you divide 1578 by n the remainder is 5.

The greatest common divisor (GCD) refers to the greatest positive integer that is a common divisor for a given set of positive integers.

Question 1:

First, subtract the remainders from the numbers (2149 - 4 = 2145; 1578 - 5 = 1573)

Then, list the factors

2145: 1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 195, 429, 715, 2145

1573: 1, 11, 13, 121, 143, 1573

11 and 13 are common factors. 11 is the smaller of these, so the smallest n value is 11.

Question 2:

First, subtract the remainders from the numbers

That is, 12650 - 2 = 12648; 5800 - 3 = 5797

List the factors:

12648: 1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324, 12648

5797: 1, 11, 13, 17, 31, 187, 341, 527, 5797

17, 31, and 527 are common factors. 17 is the smaller of these, so the smallest n value is 17.

Therefore, the least possible natural number n is 11.

To learn more about the GCD visit:

https://brainly.com/question/27227228.

#SPJ2

Answer:

29

Step-by-step explanation:

106=2(x+x+5)

53=2x+5

48=2x

24=x

24+5=29

Answer:

2 feet

Step-by-step explanation:

Answer:

2 feet

Step-by-step explanation:

...

Answer:

51

Step-by-step explanation:

51×4=204

500-204=296

Answer:

50%

Step-by-step explanation:

Identify the population of shirts that are *NOT red.* In this case 12 are red. This means that 12 shirts are *not red.* 12/24 = .5 or 50% probability.

Answer:

(5,0)

Step-by-step explanation:

Answer:

z = 3y + x

Step-by-step explanation:

z - x / 3 = y

multiply both sizes by 3

z - x = 3y

add x

z = 3y + x

Answer:

The area is -6/5 units

Step-by-step explanation:

We start by integrating the curve equation

1/x^2 = x^-2

So the integration will be;

x^-2+1/-2 + 1 = -1/x + k

So we have the area as;

-1/5 -1 = (-1 - 5)/5 = -6/5

-

Answer: 8

Step-by-step explanation: Divide 224 by 28

The answer is 4.2

The 9 is above 5 so it raises the one

Answer:

The distance is....

5

Step-by-step explanation:

Answer:

look it up mf

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

I think I don’t evenknow !

Answer:

A.)x=6

B.)x=16

did u mean to solve it or do something else if this is not the way u mean i can do another way if u like

Answer:

x + y = 49

y = x - 15

Step-by-step explanation:

The sum of 2 numbers is 49 means that x+y = 49. (The two numbers are x and y, and the sum of them are 49.)

The second number is 15 less than the first number, means that y = x - 15 (The second number is y, and it is 15 less than x, which is the first number.)

Therefore the equations will be

x + y = 49

y = x - 15

Answer:

Step-by-step explanation:

The sum of 2 numbers is 49

x  +  y = 49

The second number is 15 less than the first number.

y = x - 15

Answer:

The original cost is $130

Step-by-step explanation:

Step one:

given data

We are told that Rey paid $91 for a watch that was on sale for 30%

let the original cost be x

so that 30% off x= $91 --------not the word  OFF not OF

Required

the original cost x

Step two

hence

x- 30/100*x= 91

x-0.3x=91

0.7x= 91

divide both sides by 0.7

x= 91/0.7

x=$130

Answer: $12.87

Step-by-step explanation:

You need to set up your equation. We are trying to find x.

Step 1:  [tex]\frac{x}{39} = \frac{33}{100}[/tex]

Step 2: Multiply across: 39 x 33 divided by 100.

39 x 33 = 1287

1287 divided by 100 = $12.87

Answer: $12.87

Answer:

x=-3/2y+2

y= y=−3x+6

Step-by-step explanation:

solve for x.

2x+3y=4

Add -3y to both sides.

2x+3y+−3y=4+−3y

2x=−3y+4

Divide both sides by 2.

2x/2= -3+4/2

x= -3/2 y+2

solve for y.

y+3x=6

Add -3x to both sides.

3x+y+−3x=6+−3x

y=−3x+6

Answer:

raise a product to a power.

you first simplify the parenthesis in the numerator by raising 2 by the power of three and multiplying the exponents.

i suck at explaining, but after the first step the expression looks like:

[tex](\frac{8r^{6}t^{3} }{4t^{2} })^{2}[/tex]

Step-by-step explanation:

Answer: [tex]\sqrt{68}[/tex] units.

Step-by-step explanation:

The distance between points (a, b) and (c, d) is given by :_

[tex]D=\sqrt{(d-b)^2+(c-a)^2}[/tex]

Given points : (-10,-7) (-8,1)

Distance between points (-10,-7) and (-8,1) = [tex]\sqrt{(1-(-7))^2+(-8-(-10))^2}[/tex]

[tex]=\sqrt{(1+7)^2+(-8+10)^2}\\\\=\sqrt{8^2+2^2}\\\\=\sqrt{64+4}\\\\=\sqrt{68}[/tex]

Hence, distance between given points = [tex]\sqrt{68}[/tex] units.

Answer:

Step-by-step explanation:

sin A = [tex]\frac{35}{37}[/tex]

cos A = [tex]\frac{12}{37}[/tex]

Answer:

28°

Step-by-step explanation:

..... ....... ..... ...

Answer:

3/-2 is = to 30 degrees so..

Step-by-step explanation:  w=34

V=21

Answer:

hello there mate

Step-by-step explanation:

Answer:

Option C is the correct answer

Step-by-step explanation:

C. Multiply both sides of the equation by 20

Answer:

Write 50% as a decimal number:  

STEP 2: Multiply  by 90.94:

Step-by-step explanation: answer is 49.47

Answer:

45.47$

Step-by-step explanation:

50% means to cut things off by half

Answer:

its A

Step-by-step explanation:

hope this helps