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3 years ago

A membership to Movie Night Movie Club costs $10, plus $2 per movie. y = 2x +10. Use x-values: 0, 5, and 10.

Mathematics

2 answers:

Bumek [7]3 years ago

8 0

Answer:

$10, $20, $30

Step-by-step explanation:

So, the equation you have set up already, y = 2x + 10, models the cost of the membership and movies, with y as the total cost, and x as the number of movies. Here we can just plug in the x values to get the total costs. If x is 0, we get $10 total, if it is 5, we get $20 total, and if it is 10, we get $30 total.

siniylev [52]3 years ago

3 0

Answer:

ten, twenty , thirty

Step-by-step explanation:

So, the equation you have set up already, y = 2x + 10, models the cost of the membership and movies, with y as the total cost, and x as the number of movies. Here we can just plug in the x values to get the total costs. If x is zero, we get ten dollars total, if it is five, we get twenty dollars total, and if it is ten, we get thirty dollars total.

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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

Thus the daily expense in dollars can be given by = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

Tour duration now = $(x+4)$ days

On extension, his daily expense is cut by $3

New daily expense in dollars = $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

What is the midpoint of QR. Q(2,4) and R(-3,9)

Eduardwww [97]

Answer:

The answer is

$( - \frac{1}{2} \: , \: \frac{13}{2}) \\$

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

Q(2,4) and R(-3,9)

The midpoint is

$M = ( \frac{2 - 3}{2} \: , \: \frac{9 + 4}{2} ) \\$

We have the final answer as

$( - \frac{1}{2} \: , \: \frac{13}{2}) \\$

Hope this helps you

6 0

3 years ago

I NEED HELP PLSSS Find the value of x.

tankabanditka [31]

Answer:

1) x= 43

2) x= 54

Step-by-step explanation:

you add the two angles given, then take that answer and subtract it from 180!

i hope this helped!!

7 0

3 years ago

Read 2 more answers

Find both inequality 2c-7\>9 and 5d+7/<32

solong [7]

2c -7 >= 9

2c >= 16

c >= 8

5d + 7 <= 32

5d <= 25

d <= 5

normal arthematic except diving over -1 or flipping (taking inverse -1) flips the operator

3 0

3 years ago

The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what w

hichkok12 [17]

Answer:

3.42

Step-by-step explanation:

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3 years ago