What is the slope of the line through (-1,8) and (3,-4) ?

Given that, the cost of a ticket = t and

cost of a box of popcorn =  p.

Total members in the team = 13

As each team member buys 1 ticket and 2  boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]

So, the total amount that the team spent [tex]= 13C_1[/tex]

(a) So, the first expression, representing the total amount spent by the team, is

[tex]13\times (t+2p)\cdots(i)[/tex]

On simplification, the second expression, representing the total amount spent by the team, is

[tex]13\timest + 13\times (2p)[/tex]

[tex]=13t+26p\cdots(ii)[/tex]

(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn

Answer:

5^9

Step-by-step explanation:

125=5*5*5

125^3=125*125*125

125*125*125=3*(5*5*5)

the answer 5^9

The number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.

The power rule states that, when the term is raised with a power which is again raised by another power, then this can be simply written as one power by multiplying both the power.

It has to write the number 125³ as a power of 5. Let the resultant number as a power of 5 is n. Thus,

[tex]n=125^3[/tex]

Rewrite the number with multiples of 125.

[tex]n=(5\times5\times5)^3\\n=(5^3)^3[/tex]

By the power rule, the above expression can be rewritten as,

[tex]n=(5)^{3\times3}\\n=(5)^{9}\\n=5^9[/tex]

Thus, the number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.

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Answer:

x=2y+2

Step-by-step explanation:

Answer:

2y + 2 = x

Step-by-step explanation:

Treat is like a normal equation and solve with inverse operations:

2y + 4 = x + 2

    -2         -2

2y + 2 = x

Answer:

∠AEC = 139°

Step-by-step explanation:

EC bisects ∠BED. This means that the line EC cuts the angle in half, so        ∠BEC = 4x + 1

Answer:

The equation is true/ or an identity

Step-by-step explanation:

Plug in 7 for x, you get

2(7)+3=17

14+3=17

17=17

Answer:

Step-by-step explanation:

2x+3=17 and x =7

Since x is equal to 7 we are going to substitute it in the equation.

I think this is the answer since already having the value of x is an answer please let me know if I am wrong or answered incorrectly so I can change my answer or let everyone know its wrong so it can be deleted. I only want to spread truthful information and assistance so let me know how I did by rating the answer, saying thanks or reporting it so I can improve.

Everyone Can Learn and will never stop learning!

Answer:

The variable in an equation is fully equal to the solution. In an inequality, the variable is a number, but it can also be less than or greater than a number. Some solutions in an inequality even have the variable less than or equal to or greater than or equal to.

Hope you understood a little bit...have an amazing day C:

Answer: if you need more let me know

Answer:  i have a answer but it is not up there srry

Step-by-step explanation:  

Answer:

Option d: 6x +1

Step-by-step explanation:

Answer:

4.09

Step-by-step explanation:

just divide the given price by the hours

Answer:

1-4

2-5

3-6

4-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 - 8 = -3

-9 + 6 = -3

6 ÷ -2 = -3

1 × -3 = -3

You can check the calculator if you don't believe me!

Hope this helps! <3

Answer:

3v-v² = v(3-v)

Step-by-step explanation:

Use distributive property on the right side of the equality.

In a rhombus, both pairs of opposite angles are congruent

so m<4=32 degrees

so your answer is 32 DEGREES

Answer: Solve   2y-5x-30  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2y-5x-30  = 0 and calculate its properties

Step-by-step explanation:

Answer:

x = 3, y = 15

Step-by-step explanation:

Given the 2 equations

y + 5x = 30 → (1)

2y = 5x + 15 → (2)

Subtract 5x from both sides in (1)

y = 30 - 5x → (3)

Substitute y = 30 - 5x into (2)

2(30 - 5x) = 5x + 15 ← distribute left side

60 - 10x = 5x + 15 ( subtract 5x from both sides )

60 - 15x = 15 ( subtract 60 from both sides )

- 15x = - 45 ( divide both sides by - 15 )

x = 3

Substitute x = 3 into (3) for corresponding value of y

y = 30 - 5(3) = 30 - 15 = 15

Thus solution is x = 3, y = 15

Answer:

t=1/5d

Hope this helps! :)

Answer: okay so this is what I think is the answer I used a calculate so

Step-by-step explanation:

$12.05

$24.08

$36.12

$48.16

$60.20

Step-by-step explanation:

1 hour        2 hours         3 hours        4 hours          5 hours  

$12.04       $24.08          $36.12         $48.16            $60.20

Answer:

2

Step-by-step explanation:

(6x+2)/(3x+1) = 2

Answer:

x is EQUIVALENT to 2.89

Step-by-step explanation:

Answer:

[tex]-\frac{7}{25}[/tex]

Step-by-step explanation:

Value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."

Identity used

[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]

According to the question,

Given value of trigonometric ratio,

[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]

Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,

[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]

Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex]  the trigonometric identity ,

[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]

Hence ,  value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

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Answer:

$25.97

Step-by-step explanation:

You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.

to get the price after markdown multiply $35.00 by 7/10 which equals $24.5

Multiply $24.5 by .06 to get the sales tax which is $1.47

So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97

The cost of Tyler's jacket is $23.03.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Tyler bought a jacket regularly priced $35.00.

With a 30% markdown, the cost of jacket is

30% of 35

= 30/100 ×35

= 0.3×35

= 10.5

So, the cost of jacket is 35-10.5=$24.5

Now, sales tax on $24.5

That is, 6% of $24.5

= 6/100 ×24.5

= 0.06×24.5

= 1.47

Cost of jacket is 24.5-1.47

= $23.03

Therefore, the cost of Tyler's jacket is $23.03.

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Answer:

Step-by-step explanation:

If Kevin has 4 more points

than Carl, and then Tom has

2 fewer points than Carl, then Kevin

had 6 more points than all of Tom's points.

Hope this helps! <3

Answer:

5:8 is the ratio of cows to horses.

Answer:

AOS: x = -1

Vertex: (-1, -2)

Step-by-step explanation:

Indentify the turning point of the graph with is x = -1.

Answer: 6.32 units

Step-by-step explanation: You count the distance and get 6.32 units.

Answer:

Billion

Step-by-step explanation:

In 43,628,698,591 the three is in the Trillion spot.

One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.

There are 9 #’s after the 3 which means it is billions :)

Answer:

True

Step-by-step explanation:

You can find the circumference by multiplying Pi and the diameter.

Answer:

True. And if you only know the radius, multiply the radius by two to get the diameter.