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EastWind [94]
3 years ago
10

Earlier we analyzed the revenue earned by the junior class at East High School from their discount card fundraiser. They had

Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer: If the class sold c cards, the inequality that represents their profit goal is [20c - 0.2 > 10,000]

This year’s class sold 520 cards, so they [met] their goal because they sold more than [505] cards.

Step-by-step explanation:

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Simplify this equation <br> Thanks a lot!!!
den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

\bf\implies a^m \times b^m = (ab)^m

Using this property , we have ,

\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}

This can be written as ,

\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}

Simplifying using ( a+b)(a-b) = a² - b² ,

\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}

Subtracting the numbers inside the brackets ,

\rm\implies (-1)^{2n - 1 }

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

\rm\implies\boxed{\quad \red{ -1 }\quad }

<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>

4 0
3 years ago
Jody has 2 red marbles, 5 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles? A. 16:2 B. 2:16
vesna_86 [32]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A grocery store sells three different quantities of sugar. A 1-pound bag costs $1.10, a 2-pound bag costs $1.92, and a 3-pound b
Mashcka [7]
$1.10 per pound for the 1-pound bag.
$0.96 per pound for the 2-pound bag.
$0.92 per pound for the 3-pound bag.

As the quantity of sugar increases, the unit cost decreases.
8 0
3 years ago
The perimeter of a rectangle is 90 inches. The length is 8 times the width. What is the length of the diagonal?
german

Answer:

40

Step-by-step explanation:

The formula for the perimeter of a rectangle is  P = 2l + 2w.  Since the length is 8 times the width, l = 8w.  You can plug this into the equation.

<em>P = 2(8w) + 2w</em>

<em>P = 16w + 2w</em>

P = 18w

Now, plug in the given value for perimeter, and solve for w.

<em>90 = 18w</em>

<em>(90)/18 = (18w)/18</em>

5 = w

Since the width is equal to 5, you can now solve for l.

<em>l = 8w</em>

<em>l = 8(5)</em>

l = 40

The length of the diagonal is equal to 40.

3 0
2 years ago
Let ​ f(x)=x2+17x+72 ​ . What are the zeros of the function? ​Enter your answers in the boxes.
Bess [88]

Answer:

(x-9)(x-8)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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