Given that the points (12, –4) and (–36, 8) lie on a line, what is the equation of the line?

Answer:

that 8/3

Step-by-step explanation:

thats because it goes too 2 2/3

Answer:

4

Step-by-step explanation:

( 5x - 6 ) and ( 3x + 2 ) are alternate interior angles.

Alternate interior angles are equal,

So,

5x - 6 = 3x + 2

5x - 3x = 2 + 6

2x = 8

x = 8 / 2

x = 4

Answer:

Step-by-step explanation:

Let v be her average speed from her parents house

Let t₁ be the time traveled to parents house

Let t₂ be the time traveled from parents house

t₁ + t₂ = 19

t₁ = 19 - t₂

as the distance does not change, we can equate two velocity•time statements

vt₂ = (v + 25)t₁

vt₂ = (v + 25)(19 - t₂)

vt₂ = 19v - vt₂ + 475 - 25t₂

2vt₂ = 19v + 475 - 25t₂

vt₂ = 570 and t₂ = 570/v

2(570) = 19v + 475 - 25(570/v)

1140 = 19v + 475 - 14,250/v

665 = 19v - 14,250/v

665v = 19v² - 14250

0 = 19v² - 665v - 14250

0 = v² - 35v - 750

quadratic formula

v = (35 ±√(35² - 4(1)(-750))) / 2

v = (35 ± 65) / 2

v = - 15 mph which we ignore as she did not spend hours driving backwards

or

v = 50 mph is average speed from parents house

v + 25 = 75 mph is average speed to parents house.

the trip to took 570/75 = 7.6 hrs

the trip from took 570/50 = 11.4 hrs.     total of 19 hrs.

The maximum  number of pizzas that Mr. Braun can buy is 5.

The equation that can be used to represent the total amount spent on soda pop and pizzas is:

$75 = 5x($0.75) + x($9)

Where:

In order to determine the number of pizzas that can be bought, we have to solve for x

$75 = 3.75x + 9x

$75 = $12.75x

x = $75 / 12.75

x = 5.88

If 6 pizzas are bought, 30 drinks would be bought, the total cost would be:

6($9) + 30(0.75) = $76.50

If 5 pizzas are bought, 25 drinks would be bought, the total cost would be:

5($9) + 25(0.75) = $63.75

A similar question was answered here: https://brainly.com/question/13965560

Answer:

9

Step-by-step explanation:

It would be 9 because 7 +2 is 9 and 11 - 2 is 9.

Isn't way to hard.

Good luck on whatever you are doing.

9514 1404 393

Answer:

  9

Step-by-step explanation:

The midpoint between two values is their average. The average is half their sum.

  (7 +11)/2 = 18/2 = 9

The number 9 is halfway between 7 and 11.

_____

Check

The distance from 7 to 9 is 9-7 = 2. The distance from 9 to 11 is 11-9 = 2. The distances are the same, so 9 is halfway between 7 and 11.

Answer:

226

Step-by-step explanation:

To find the percentage of a given value, firstly convert to a decimal by dividing by 100:

82 ÷ 100 = 0.82

Now, multiply this decimal by the number of tickets:

275 x 0.82 = 225.5

Because you can't sell half a ticket, round up.

This means the total of tickets they need to sell is 226.

Hope this helps!

Step-by-step explanation:

Given Question

Complete the following tables and plot the points on the graph paper yo represents the equations given below :-

[tex]\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ [/tex]

and

[tex]\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ [/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

[tex]\rm \longmapsto\:y = x + 1[/tex]

On substituting x = 1, we get

[tex]\rm \longmapsto\:y = 1 + 1[/tex]

[tex]\rm \longmapsto\:y = 2[/tex]

On substituting x = 2, we get

[tex]\rm \longmapsto\:y = 2 + 1[/tex]

[tex]\rm \longmapsto\:y = 3[/tex]

On substituting x = 3, we get

[tex]\rm \longmapsto\:y = 3 + 1[/tex]

[tex]\rm \longmapsto\:y = 4[/tex]

Hence,

[tex]\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf 2 & \sf 3 & \sf 4\\ \\ \sf (x,y)& \sf (1,2) & \sf (2,3) & \sf (3,4)\\ \end{array}} \\ \end{gathered}[/tex]

Now, draw a graph using the points (1 , 2), (2 , 3) & (3 , 4)

---------------------------------------------

Given equation is

[tex]\rm \longmapsto\:y = - 3x[/tex]

On substituting x = 1, we get

[tex]\rm \longmapsto\:y = - 3 \times 1[/tex]

[tex]\rm \longmapsto\:y = - 3[/tex]

On substituting x = 2, we get

[tex]\rm \longmapsto\:y = - 3 \times 2[/tex]

[tex]\rm \longmapsto\:y = - 6[/tex]

On substituting x = 3, we get

[tex]\rm \longmapsto\:y = - 3 \times 3[/tex]

[tex]\rm \longmapsto\:y = - 9[/tex]

Hence,

[tex]\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf - 3 & \sf - 6 & \sf - 9\\ \\ \sf (x,y)& \sf (1, - 3) & \sf (2, - 6) & \sf (3, - 9)\\ \end{array}} \\ \end{gathered}[/tex]

Now, draw a graph using the points (1 , - 3), (2 , - 6) & (3 , - 9)

13.5 teeth in five years

Answer:

2 Hola cómo estás mi amigo

Answer:

sale price SP= cost + sales tax

SP= 60 + 7% of 60

SP= 60+4.2

SP= $64.2

Answer:

n = 5

Step-by-step explanation:

186 - 25 + n = 166

n + 186 - 25 = 166

n + 161 = 166

(n + 161) + (-161) = 166 + (-161)

n + 161 - 161 = 166 - 161

n = 5

Answer: If the quadratic equation has real, rational solutions, the quickest way to solve it is often to factorise into the form (px + q)(mx + n), where m, n, p and q are integers. This is especially true where the coefficient of x2 is 1.

Example 1 - Solve x2+7x+12=0

Step-by-step explanation:

that's the only one I remember

Answer:

factoring, using the square roots, completing the square and the quadratic formula.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

If you move like terms to one side you'll get

-7c + 7c = 3

0c =3

0 = 3

cannot be true, so there are zero solutions

Answer:

m/4

Step-by-step explanation:

Answer:

It took 16 days

Step-by-step explanation:

400/25=16

Answer:

Value of 5 is 500

From right to left ones, tens, hundreds, thousands, ten thousands, hundred thousands

5 is in the hundredth place

Answer:

(c) part two is correct ans.

Step-by-step explanation:

mark me as a brainlist plz.

Answer:

Step-by-step explanation:

x^2 + 18x + 81 = 0

x^2 + 9x + 9x + 81 = 0

x(x+9) + 9(x+9) = 0

(x + 9)(x + 9) = 0

(x + 9) = 0

x + 9 = 0

x = 0 - 9

Answer:

[tex]x=4\frac{1}{8}[/tex]

Step-by-step explanation:

Step 1: Multiply (2x+5) by [tex]-\frac{3}{4}[/tex].

[tex]-\frac{3}{4}(2x+5)=-\frac{3}{4}*2x-\frac{3}{4}*5=-\frac{3}{2}x-\frac{15}{4}[/tex]

The equation becomes [tex]2\frac{1}{2}x-\frac{3}{2}x-\frac{15}{4}=\frac{3}{8}[/tex]

Step 2: Combine all terms that have a variable.

[tex]2\frac{1}{2}x-\frac{3}{2}x=\frac{5}{2}x-\frac{3}{2}x=\frac{2}{2}x=x[/tex]

The equation becomes [tex]x-\frac{15}{4}=\frac{3}{8}[/tex]

Step 3: Add [tex]\frac{15}{4}[/tex] to both sides of the equation.

[tex]x-\frac{15}{4}+\frac{15}{4}=\frac{3}{8}+\frac{15}{4}[/tex]

[tex]x=\frac{3}{8}+\frac{15}{4}=\frac{3}{8}+\frac{30}{8}=\frac{33}{8}=4\frac{1}{8}[/tex]

[tex]x=4\frac{1}{8}[/tex]

Answer:

[tex]\frac{1}{3} *\frac{1}{2} =\frac{1}{6}[/tex]

Step-by-step explanation:

So the first two balls are black, so the way to change the path is to take two out of six black balls over two out of ten balls, which is 1/3.

If the last one is red then the probability is that if you take one of the four red balls and you take one of the eight balls, you get 1/2.

So the total probability is 1/3 times 1/2 is 1/6.

Answer:

Happy birthday to you

Nobody like you

U look like a an animal go back to the zoo

Step-by-step explanation:

HINDI PO NAKATAWA

Answer:

the magnitude of the vector is 11.40

Answer:

5 miles

Step-by-step explanation:

divide the 9 by 45 to get 6 subtract the 1 to get 4

Answer: Calculate the sphere volume, the volume of a spherical cap or of a hemisphere thanks to this sphere volume calculator.

Answer:

x > -2

Step-by-step explanation:

3x>-6

Divide each side by 3

3x/3 > -6/3

x > -2

[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]

[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]

( Decimal: [tex]2.36543...[/tex])

Steps:

1: Convert element to fraction.

[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]

[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]

2: Since denominator are equal, combine the fractions.

[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]

[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]

-----------------------

[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]

[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]

Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]

[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]

Using the normal approximation to the binomial, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and the standard deviation are given by:

[tex]\mu = np = 300(0.85) = 255[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.85)(0.15)} = 6.185[/tex]

The probability that we will have enough seats for everyone who shows up is the probability of at most 270 people showing up, which, using continuity correction, is [tex]P(X \leq 270 + 0.5) = P(X \leq 270.5)[/tex], which is the p-value of Z when X = 270.5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{270.5 - 255}{6.185}[/tex]

[tex]Z = 2.51[/tex]

[tex]Z = 2.51[/tex] has a p-value of 0.994.

0.994 = 99.4% probability that we will have enough seats for everyone who shows up.

A similar problem is given at https://brainly.com/question/24261244

9514 1404 393

Answer:

  A. 50 ft square

  B. 12√2 ft square

Step-by-step explanation:

These problems are basically the same, so have the same solution. The rectangle with maximum area for a given perimeter will have the same shape as the one with minimum perimeter for a given area.

We can find it generically. Let p represent the perimeter of a rectangular area with one side that measures x. The area will be ...

  A = x(p/2 -x) = -x^2 +(p/2)x

The area will be maximized when dA/dx = 0:

  dA/dx = -2x +p/2 = 0

  p/2 = 2x . . . . . add 2x

  x = p/4 . . . . . . divide by 2

The other dimension is ...

  p/2 -x = p/2 -p/4 = p/4

The dimensions of the maximum area for perimeter p are ...

  p/4 × p/4 . . . . . . . a square

__

$2400 worth of fence at $12 per foot is 2400/12 = 200 ft of fence. The largest possible area that can be enclosed will have dimensions of 200 ft/4 = 50 ft square:

  50 ft × 50 ft

__

The perimeter of the garden will be at its shortest when the shape of the garden is square.

  √(288 ft²) = 12√2 ft

The dimensions of the garden that will minimize the cost are ...

  12√2 ft × 12√2 ft