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gayaneshka [121]

3 years ago

11

Olivia is going to an amusement park. The price of admission into the park is $40, and once she is inside the park, she will hav

e to pay $4 for every ride she rides on. How much money would Olivia have to pay in total if she goes on 13 rides? How much would she have to pay if she goes on r rides?
Cost for 13 rides:
Cost for r rides:

2 answers:

emmainna [20.7K]3 years ago

5 0

Answer:

e

Step-by-step explanation:

Advocard [28]3 years ago

4 0

Answer:

Can you explain more?

Step-by-step explanation:

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3x-(2x-1)=7x-(3*5x)+(-x+24)

Paraphin [41]

Answer:

$\boxed{\boxed{\sf x=\frac{23}{10}}\: \sf or \:\boxed{x=2.3}}$

_________________

$\boxed{\sf Step\: By\:Step:- }$

$\sf 3x-\left(2x-1\right)=7x-\left(3\times \:5x\right)+\left(-x+24\right)$

<u>Remove the parentheses:</u>

$\to\sf 3x-\left(2x-1\right)=7x-3\times \:5x-x+24$

<u>Combine like terms:</u>

$\sf ^*7x-x=6x$

$\to\sf 3x-\left(2x-1\right)=6x-3\times \:5x+24$

<u>Multiply 3 and 5x = 15x:-</u>

$\to\sf 3x-\left(2x-1\right)=6x-15x+24$

<u>Combine like terms:</u>

$\sf ^*6x-15x=-9x$

$\to\sf 3x-\left(2x-1\right)=-9x+24$

<u>Expand: 3x-(2x-1)= x+1</u>

$\to\sf x+1=-9x+24$

<u>Subtract 1 from both sides:</u>

$\to\sf x+1-1=-9x+24-1$

$\to\sf x=-9x+23$

<u>Add 9x to both sides:</u>

$\to\sf x+9x=-9x+23+9x$

$\to\sf 10x=23$

<u>Divide both sides by 10:</u>

$\to\sf \cfrac{10x}{10}=\cfrac{23}{10}$

$\to\sf x=\cfrac{23}{10}$

<u>________________________________</u>

3 0

3 years ago

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

grin007 [14]

(4√2, 225°), (-4√2, 45°)

7 0

3 years ago

Read 2 more answers

What are the zeros of the polynomial function f(x) = x^3-10x^2+24x

Ludmilka [50]

Replace F(x) with y
y=x^3-10x^2+24x
To find the roots replace y with 0.
0=x^3-10x^2-24x
Rewrite the equation as
x^3-10x^2+24x=0
Factor the left side
x(x-6)(x-4)=0
The solution is a result of
x=0, x-6=0, and x-4=0

The answer is:
x=0, 6, 4

3 0

3 years ago

NARA [144]

Ans(a):

Given function is $f(x)=\frac{3x-1}{x+4}$

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.

Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

$g(x)=\frac{3x-1}{x+4}+4$

We may simplify this equation but that is not compulsory.

Comparision:

Graph of g(x) will be just 4 unit upward than graph of f(x).

Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

$8=\frac{3x-1}{x+4}+4$

$8-4=\frac{3x-1}{x+4}$

$4=\frac{3x-1}{x+4}$

$4(x+4)=(3x-1)$

$4x+16=3x-1$

4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0

4 years ago

Find the sum or difference of (2m+7)-(3-4m)

pickupchik [31]

(2m + 7) - (3 - 4m)

First distribute the (-) in front of the quantity of 3 - 4m.
Think of it as this:

-1(3 - 4m)

You multiply each number inside the parenthesis by -1.

So:

3*-1 = -3
-4m * -1 = 4m

Now that you've distributed the negative you can remove the parenthesis.
Now you'll just set it all up like you would any normal problem. Because -3 is negative you'll make it subtract.... I'll show you what I mean:

2m + 7 - 3 + 4m

Combine like terms (Terms which have the same variables... in this case the same number of m's)

Rearranging them can help!

4m + 2m + 7 - 3

6m + 7 - 3

6m + 4, is our difference!

6 0

3 years ago

Read 2 more answers