3m ≤ –9 solve the inequality

Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor

mel-nik [20]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

6 0

4 years ago

9) Gabe has a 40¢-off coupon for any kind of popcorn. He can choose

Vadim26 [7]

Answer:

Per ounce better buy is Happy popcorn.

Step-by-step explanation:

Given that:

Happy popcorn price for 16 ounces = $1.39

Popper popcorn price for 34 ounces = $2.79

Discount coupon present with Gabe = 40 ¢ = $0.40

To find:

Which brand is the better buy per ounce?

Solution:

First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.

Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99

Price for 1 ounce of Happy popcorn after discount = $\frac{\$0.99}{16}$ = $0.062

Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39

Price for 1 ounce of Popper popcorn after discount = $\frac{\$2.39}{34}$ = $0.070

Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.

Therefore per ounce better buy is Happy popcorn.

6 0

3 years ago

Expand 3(x+ 2.3) Expand 1/3(9x-12)

Snezhnost [94]

Answer:

3x+6.9 and 3x-4

Step-by-step explanation:

since 3 x x is 3x and the sign in the bracket is addition you place it there then place 3 x 2.3

being 6.9.

1/3 x 9is 9/3 and 3 can multiply both sides to get 3/1 or 3 then bring the minus and 1/3 x 12 is 12/3 3 can multiply both sides to get 4/1 or 4

4 0

3 years ago

James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Si

cupoosta [38]

Answer:

Part 1) see the procedure

Part 2) $4.95x+49.95 < 9.95 x$

Part 3) $x > 9.99\ months$

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

$y=4.95x+49.95$

Site B

$y=9.95x$

The inequality that represent this situation is

$4.95x+49.95 < 9.95 x$

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

$4.95x+49.95 < 9.95 x$

Subtract 4.95x both sides

$4.95x+49.95-4.95x < 9.95 x-4.95x$

$49.95 < 5x$

Divide by 5 both sides

$49.95/5 < 5x/5$

$9.99 < x$

Rewrite

$x > 9.99\ months$

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

4 0

4 years ago

If square root x = -7, then x= -49 true or false

dimaraw [331]

Answer:True

Step-by-step explanation:

5 0

3 years ago

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