If someone writes a script that randomly generates up to 1 million different passwords, what is the probability that none

Mimi sells super-sized cookies for $1.50 each and estimates she has expenses of $10 to make one batch of cookies. If the inequal

Jobisdone [24]

Answer:

(b) x > 26 cookies

Step-by-step explanation:

The selling price of 1 super-sized cookie, S.P.=$1.50

Let a batch have x cookies.

So, the selling price of x cookies=1.5x

The expences in making one batch of cookies=$10

So, net profit = 1.5x-10

The given inequality to model this is 1.5x - 10 > y, That means the profit for one batch is greater than y.

As she wants to make a profit of at least $30, so for this condition, the value of y is 30.

Now, the given inequality become,

$1.5x - 10 >30$

$\Rightarrow 1.5x>30+10$

$\Rightarrow x>\frac{40}{1.5}$

$\Rightarrow x>26\frac{2}{3}$

As x is the number of cookies, so, it can't have a fractional value. This can be written as

$x>26$ or $x\geq27.$

So, she has to sell more than 26 cookies to make a profit of at least $30.

Hence, option (b) is correct.

7 0

4 years ago

Swimming Pool On a certain hot summer's day, 143 people used the public swimming pool. The daily prices are $ 1.25 for children

kramer

Answer: 102 children and 41 adults swam at the pool that day.

Step-by-step explanation:

Let x represent the number of children that swam at the public pool that day.

Let y represent the number of adult that swam at the public pool that day.

On that certain hot summer's day, 143 people used the public swimming pool. It means that

x + y = 143

The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $219.75. It means that

1.25x + 2.25y = 219.75- - - - - - - - -1

Substituting x = 143 - y into equation 1, it becomes

1.25(143 - y) + 2.25y = 219.75

178.75 - 1.25y + 2.25y = 219.75

- 1.25y + 2.25y = 219.75 - 178.75

y = 41

x = 143 - y = 143 - 41

x = 102

5 0

4 years ago

Cody was 165\,\text{cm}165cm tall on the first day of school this year, which was 10\%10% taller than he was on the first day of

Doss [256]

Answer:

165 cm.

Step-by-step explanation:

Let h be the height of Cody on the first day of school last year.

We have been given that Cody was 165 cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

To find the height of Cody on the first day of school last year, we need to find h such that h plus 10% of h equals 165. We can represent this information in an equation as:

$h+10\%\text{ of }h=165$

$h+(\frac{10}{100}*h)=165$

$h+0.10*h=165$

$1.10*h=165$

Let us divide both sides of our equation by 1.10.

$\frac{1.10*h}{1.10}=\frac{165}{1.10}$

$h=150$

Therefore, Cody was 150 cm tall on the first day of school last year.

5 0

4 years ago

Write the following expression in simplest form (2x^2)^3/6x^2

GarryVolchara [31]

(2x²)³/6x²=(2³)(x²ˣ³) / 6x²=8x⁶/6x²=4x⁴/3

Answer: 4x⁴/3

8 0

3 years ago

Calculate the percent of increase for the $49 video game that is now being sold for $300.

prisoha [69]

Answer:

$\boxed{\color{blue}\textsf{The percentage increase in price is \textbf{512.22\% }}}$

Step-by-step explanation:

Here the earlier price of the video game was $ 49 and now it's being sold for $ 300 . We need to calculate the percentage increase in price .

So the increase in cost is $( 300 - 49 ) = $ 251 .

So we can calculate the % increase as ,

$\qquad\boxed{\boxed{\sf\% Increase = \dfrac{ Increase\ in \ price }{Original\ price } \times 100 }}$

Substituting the respective values :-

$\sf\implies \% Increase = \dfrac{ Increase\ in \ price }{Original\ price } \times 100 \\\\\sf\implies \% Increase =\dfrac{\$ 251}{\$ 49 }\times 100 \\\\\sf\implies \% Increase = 5.122 \times 100 \\\\\implies \boxed{\pink{\frak{ \% Increase = 512.24 \% }}}$

8 0

3 years ago