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OverLord2011 [107]
3 years ago
10

1. If the product of the integers a,b, and c is 1, then what is the difference between the largest and the smallest possible val

ues of a^2*b^3*c^4?
a. -2 b. -1 c. 1 d. 2

2. Hats are purchased at the rate of $33 per dozen. If they are sold at a closeout sale for $2.50 each, the percent loss on the cost price is:
a. 3 b. 3 1/3 c. 9 1/11 d. 10
Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Problem 1

The largest value would be 1 and the smallest would be -1.

To get a product of 1, either all are 1 or two of the variables are -1 and the other one is 1.

Largest value = (1)^2 * (1)^3 * (1)^4 =1

Smallest value = (- 1)^2 * (- 1)^3 * (1)^4 = -1

The difference is:

largest value – smallest value = 1 – (-1) = 2

<span>Therefore the answer is letter D.</span>

 

Problem 2

% loss = (final price – initial price) * 100%/ initial price

where, final price per dozen = ( $2.50 / piece) (12 piece / dozen) = $30

Therefore,

% loss = ($30 - $33) * 100 / $33

% loss = - 300/ 33 = 9 1/11

<span>Therefore the answer is <span>letter C.</span></span>

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2 years ago
jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

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3 years ago
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The solution to the equation is x = 0, 2

The graph is posted

hope that helps :)

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3 years ago
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The mean would shift to the left because, simply, the average price of the car would go DOWN.
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3 years ago
I need help with three and four
mart [117]

Answer:

3: a^{2}+2ab+b^{2}

4: 8x^{3} -12x^{2}+6x-1

Step-by-step explanation:

Question 3 can be re-written as:

(a+b)(a+b)

which equals:

a^{2}+2ab+b^{2}

Question 4 can be re-written as:

(2x-1)(2x-1)(2x-1)

Doing the first 2 brackets gives us:

(4x^{2} -4x+1)(2x-1)

Expanding these two:

8x^{3} -4x^{2} -8x^{2} +4x+2x-1

Simplifying it:

8x^{3} -12x^{2}+6x-1

4 0
2 years ago
Read 2 more answers
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