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olya-2409 [2.1K]
3 years ago
6

HELP PLEASE

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
5 0

Answer:

The Drama Club needs to sell more than 3 pictures to make a profit.

The inequality 10x ≥ 2.55x +25  represents the situation.

Step-by-step explanation:

Given that:

Rent for lighting equipment = $25

Price per print = $2.55

Selling price of one picture = $10

x be the number of pictures.

Selling price * No. of pictures sold ≥ Price of per print * pictures printed + rent

10x ≥ 2.55x +25

10x-2.55x≥25

7.45x≥25

Dividing both sides by 7.45

\frac{7.45x}{7.45}\geq \frac{25}{7.45}\\x\geq 3.35

Hence,

The Drama Club needs to sell more than 3 pictures to make a profit.

The inequality 10x ≥ 2.55x +25  represents the situation.

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2 years ago
What is the expression for f(x) when we rewrite <br> (5⁻⁴ˣ⁺⁷)÷(125x) as 5^f(x)
alexandr402 [8]

Answer: The answer is f(x) = -7x + 7.


Step-by-step explanation:  We are give a relation as follows :

5^{-4x+7}\div 125^x=5^{f(x)}.

From here, we need to find the expression for f(x).

Here, we will be using the following properties of exponents :

(i)~\dfrac{a^x}{a^y}=a^{x-y}.\\\\(ii)~a^x=a^y~\Rightarrow x=y.

We have

5^{-4x+7}\div 125^x=5^{f(x)}\\\\\Rightarrow5^{-4x+7}\div 5^{3x}=5^{f(x)}\\\\\\\Rightarrow \dfrac{5^{-4x+7}}{5^{3x}}=5^{f(x)}\\\\\\\Rightarrow 5^{-4x+7-3x}=5^{f(x)}}\\\\\Rightarrow 5^{-7x+7}=5^{f(x)}\\\\\Rightarrow -7x+7=f(x).

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8 0
3 years ago
What's the question? The estimated product of two numbers that are not multiples of 10 is 2800.
Neporo4naja [7]

Seems to me like the question is:  What are the two numbers ?

They have to multiply to  2,800 . 
It's fairly easy to find two numbers that do that,  BUT ...
they're not supposed to be multiples of 10 .

1 x 2,800 = 2,800 . . . . . No good.  2,800 is a multiple of 10 .

2 x 1,400 = 2,800 . . . . . No good.  1,400 is a multiple of 10 .

4 x 700 = 2,800 . . . . . No good.  700 is a multiple of 10 .

5 x 560 = 2,800 . . . . . No good.  560 is a multiple of 10 .

7 x 400 = 2,800 . . . . . No good.  400 is a multiple of 10 .

8 x 350 = 2,800 . . . . . No good.  350 is a multiple of 10 .

10 x 280 = 2,800 . . . . . No good.  280 is a multiple of 10 .

14 x 200 = 2,800 . . . . . No good.  200 is a multiple of 10 .

16 x 175 = 2,800 . . . . . Finally !  Neither one is a multiple of 10 .

6 0
3 years ago
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