So to start subtract $5 from $16.25 for the monthly membership
That gives you $11.25
So then you Just divide...
$11.25 divided by $1.25
which gives you 9
So bill rented 9 movies for the month

Hope this helped! :)

6 0

2 years ago

A system of equations is given below. For what value(s) of x is f(x)=g(x) ?

NARA [144]

$\large{f(x) = g(x)} \\ \large{ {x}^{2} + 3x = x + 3}$

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

$\large{ {x}^{2} + 3x - x - 3 = 0}$

Combine like terms.

$\large{ {x}^{2} + 2x - 3 = 0}$

Solve the equation by factoring.

$\large{(x + 3)(x - 1) = 0} \\ \large{x = - 3,1}$

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

x = -3,1

Let me know if you have any doubts!

3 0

2 years ago

How many 4 digits codes can be formed with odd numbers without repetition? 0 is not allowed.

Sliva [168]

9514 1404 393

Answer:

120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

3 0

2 years ago

Luke has two summer jobs. During the week he works in the grocery store, and on the

TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

week → grocery store → $16/hour
weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

$\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176$

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

$\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}$

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0

2 years ago