Solve the simultaneous equations x + 3 y = 14
− x + 2 y = 6

(13/3) / (-2/1) = (13/3) / (-2) = - 13 / (3 • 2) = -13/6

21.6666666667 can be expressed as the fraction 21 2/3 or 65/3.

13/3 divided by -2/1 is equal to -13/6.

Given that we need to convert 21.6666666667 can be expressed as the fraction and 13/3 divided by -2/1 as a fraction.

To convert the decimal number 2.16666666667 to a fraction, we can multiply both the numerator and denominator by a power of 10 to eliminate the decimal point.

Since there is only one digit after the decimal point, we can multiply by 10.

2.16666666667 x 10 = 21.666666667

Now we have the number 21.666666667 as a whole number. Since there are three repeating digits (6), we can represent them as a fraction over 9 (since 9 is the largest power of 10 that is one less than the number of repeating digits).

21.666666667 = 21 + 0.666666667

= 21 + 6/9

Simplifying the fraction 6/9, we can divide both the numerator and denominator by their greatest common divisor, which is 3.

6/9 = (6 ÷ 3) / (9 ÷ 3)

= 2/3

Therefore, 2.16666666667 can be expressed as the fraction 21 2/3 or 65/3.

For the division problem (13/3) ÷ (-2/1), we can convert it into a multiplication problem by multiplying the first fraction by the reciprocal of the second fraction.

(13/3) ÷ (-2/1) = (13/3) x (1/-2)

Multiplying the numerators and denominators, we get:

(13 x 1) / (3 x -2) = 13 / -6

Therefore, 13/3 divided by -2/1 is equal to -13/6.

Learn more about Division and Multiplication click;

https://brainly.com/question/29488963

#SPJ6

Answer: 21√10

Step-by-step explanation:

Answer:

Answer: 21√10

Or Decimal: 66.41

Answer:

when two triangles are said to be similar by SSS theorem, these 2 triangles not only have 3similar sides, but also the same 3 angles. on the other hand if they're said to be similar SAS theorem, it's highly unlikely they will have all three same Angles.

hope this helped

Using the combination formula, it is found that there are 99768240 ways in which they can travel.

The passenger seat positions are not important, which means that the order is not important, which is why the combination formula is used.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

The, the number of ways is given by:

[tex]N = C_{20,7}C_{13,5}C_{8,8}[/tex]

[tex]N = \frac{20!}{7!13!} \times \frac{13!}{5!8!} \times \frac{8!}{0!8!} = 99768240[/tex]

There are 99768240 ways in which they can travel.

A similar problem is given at https://brainly.com/question/24437717

Answer:

A = L + B = a2 + a√(a2 + 4h2))

Step-by-step explanation:

Answer:

$6.99

Step-by-step explanation:

add the number of pounds to gwet the total number of pounds

4.3+1.7=6

divide

41.94/6

$6.99 per pound

Hope this helps!

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

y = 4/3x + 1.

Answer:

$ 198

Step-by-step explanation:

450 + 0.06x = 3750

0.06x = 3750 - 450

x = (3300 * 0.06) = 198

x = 198

Answer:

84

Step-by-step explanation:

7/10 of them likes math and there are 240 student in total

240 / 10 = 24 and 24*7 = 168 student likes math if half of them are girls

then there are 84 girls that likes  math.

Answer: Answer: x> -2/11

Step-by-step explanation: Multiply both sides of the inequality by the least common denominator: 2 (-5/2(3x-2))<2x6-2x2x

Reduce the expression to the lowest term: -5(3x-2)<2 x 6-2 x 2x

Apply Multiplicative Distribution Law: -15x + 10< 2 x 6 -2 x 2x

Multiply the monomials:-15x + 10< 2 x 6 - 4x

Calculate the product or quotient: -15x + 10<12-4x

Rearrange unknown terms to the left side of the equation: -15x + 4x< 12 - 10

Combine like terms: -11x < 12 - 10

Calculate the sum or difference: -11x<2

Divide both sides of the inequality by the coefficient of variable: x > 2 ÷(-11)

Rewrite as fraction: x> 2/-11

Rewrite the fraction: x> -2/11

Answer: x> -2/11

The solution to the inequality is x>-2/11.

The given inequality is -5/2 (3x-2)<6-2x

We need to simplify the given inequality step by step.

To solve an inequality, isolate the variable on one side with all other constants on the other side. To accomplish this, perform opposite operations to manipulate the inequality. First, isolate the x by multiplying each side by two. Whatever you do to one side you must also do to the other side.

Now, multiply both sides of the inequality by 2.

That is,  -5(3x-2)<2(6-2x)

=-15x+10<12-4x

Add both sides of the inequality by 4x.

That is, -15x+10+4x<12-4x+4x

=-11x+10<12

Subtract 10 on both sides of the inequality.

That is, -11x+10-10<12-10

-11x<2

Divide both sides of the inequality by -11.

x>-2/11

Therefore, the solution to the inequality is x>-2/11.

To learn more about inequality visit:

https://brainly.com/question/17675534.

#SPJ2

Answer:

y= -1/5x + 1

Step-by-step explanation:

When looking for a line between two points, you want to use the following formula: (y2-y1)/(x2-x1) which finds your distance between points for the y and x coordinate to solve for your slope. y1 is the y coordinate from the first given point and x1 is the x coordinate from the first given point as well. this would go the same for x2 and y2 for the second given equation.

Next, we plug in our values so that we get (-1-2)/(10-(-5)). This will then lead us with -3/15 which simplifies to -1/5. This is our slope. Now that we have our slope we can rule out every option except the first for the answer. However, if we want to look for the entire answer we need to plug in one of our given values in the formula we have: y=-1/5x.

So to find the y-intercept, we can plug in any of the given coordinates so we can fo (10,-1) so that -1=-1/5(10)+b (b what added because we are putting the equation in slope-intercept, therefore we need to find the value b.) So we are left with -1=-2+b now we want to isolate b by adding 2 on both sides to cancel -2 and get 1=b. This would leave us with the equation y=-1/5x+1.

Answer:

75.625

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

Answer:

Rate of change = 2

Step-by-step explanation:

The rate of change is equivalent to the slope of the line !

A line is written:

y=mx+b

"m" is the slope, and "b" is the y-intercept !

The line you gave was "y=2x+100"

The slope, or "m," in your equation, would be 2 !

Answer:

-9

Step-by-step explanation:

domain is the x numbers so -9 is the only one that is under x

Answer:

a) 8x-6y=9 b)4y-9y=9 c)3x+6y=15 d)10x-y=23

a) 12x-9y=6 b) 6x-5y=8 c)-9x-18y=-45 d)5x-2y=-46

Step-by-step explanation

Answer:

2x^2-10x+3

4x-10x+3

-6x+3

Step-by-step explanation:

Answer:

[tex] \frac{8x \times 6.5}{2} = 780[/tex]

[tex]8x \times 6.5 = 780 \times 2 \\ 8x \times 6.5 = 1560 \\ 52x = 1560 \\ x = 15[/tex]

Hint :- The point slope form of the line is [tex] m(x-x_1) = y - y_1[/tex] , where [tex](x_1,x_2)[/tex] is the point and [tex] m [/tex] is the slope of the line .

Solution :- The given point is [tex](2,-1)[/tex] and the slope is 3 . On using the point slope form of the line, we have ;

[tex]\implies m(x-x_1)=y-y_1[/tex]

Substitute ,

[tex]\implies 3(x -2) = y -(-1) [/tex]

Simplify ,

[tex]\implies 3x -6=y+1 [/tex]

Add -1 and -y to the both sides ,

[tex]\implies \boxed{3x -y -7=0 }[/tex]

Answer:

un prisma rectangular es una forma 3D con 6 caras rectangulares listo

Answer:

23 cuz it's like a parten

Answer:

C

Step-by-step explanation:

1. a

2. a

3. c

4. a

5. d

For slope-intercept form, solve the equation for y.

For standard form, solve the equation for the constant and keep x and y on the same side.

Ex) 3x - 2y = -3

-2y = -3x - 3

y = -3x/-2 - 3/-2

y=3x/2 + 3/2

Hey! The measure of the angle is 127

The angle is a total of 180 degrees.

We have to find the total of what's in between the two blue lines.

To make it easier, we can take the total of what's not in the blue lines, 53, and subtract it from 180. This gives us 127. So in between both the blue lines, measures 127. Or, you can just count up from  53 to 180 individually.

Answer:

A and D 1/2 divided by 6 and 6/12 divided by 6

Step-by-step explanation:

I just took the assignment

Answer:

true

Step-by-step explanation:

i think

3/5

Step-by-step explanation:

8 (3x-7)=-6 (x+7)+4

24x-56=-6x+(-42)+4

24x+6x=-42+4+56

30x=-38+56

30x=18

30x/30=18/30

x=3/5

Answer:

(-2, 0)

Step-by-step explanation:

Answer:

16=c

17=d

Step-by-step explanation: