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Vladimir79 [104]
3 years ago
9

Find the Remainder of x^2 - 5x - 22 divided by x + 3

Mathematics
1 answer:
Len [333]3 years ago
5 0
               x -8
       ___________
x+3 I x² -5x -22
         x² +3x
        ---------
             -8x -22
             -8x -24
            -----------
                       2
the remainder is 2. 
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The diameter of a wheel of a lorry is 150cm. If the lorry travels 376.8m, how many times does the wheel rotate?
tresset_1 [31]
<h3>Answer:  79 full rotations</h3>

====================================================

Explanation:

150 cm = 150/100 = 1.5 m

The wheel has a diameter of 1.5 meters

The circumference of the wheel is

C = pi*d

C = pi*1.5

C = 1.5pi

C = 4.71238898038469

I'm using my calculator's stored version of pi to get the most accuracy.

Then we divide the 376.8 over the circumference found

(376.8)/(4.71238898038469) = 79.9594434093682

Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.

Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.

4 0
2 years ago
Answer correctly for brainleist and 5 mark
notsponge [240]

Answer:

It is the last answer.

Step-by-step explanation:

If you graph this, there will be no point more negative than (-4/3, -5).

This means the x and y values must be greater than or equal to these values, as the fourth answer will show.

8 0
3 years ago
At Grocery Mart, tomatoes are $2.75 per pound, or you can buy a 5
larisa [96]

Answer:

a) $2.75

b) $2.2

c) Second tomato option is better value option.

Step-by-step explanation:

First option to buy tomatoes = $2.75 per pound

Second option to buy tomatoes:

To buy a box which is a 5 pound box and the price is $11.

To find:

a) Unit price for the first tomato option.

b) Unit price for the second tomato option.

c) Better value option on the basis of price.

Solution:

Let the consider the unit here to be a pound.

So, we will find the price of tomato per pound to find the unit price of tomato.

a) Unit price of the first tomato option is : $2.75 per pound

b) Unit price of the second tomato option:

Price for 5 pounds = $11

Dividing both sides with 5 to find the price of 1 pound or unit price.

Price for \frac{5}{5} = 1 pound = \frac{\$11}5  = \$2.2

c) To find the better value option, we can compare the unit prices of the two tomato options.

Here, we have the two tomato options with unit prices as:

$2.75 and $2.2

Second tomato option has a lower unit price, therefore, <em>second option</em> is better value option on the basis of price.

5 0
2 years ago
The density d of a substance is given by the formula d=mV, where m is its mass and V is its volume. Solve the formula for m.
NikAS [45]

Answer:m=d/V

Step-by-step explanation:

To solve for m, you must divide V from each side. Leaving you with m=d/V. Hope this helped:)

5 0
3 years ago
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The value of a car is $ 16,000 and depreciating at a rate of 11% per year. Write an
Mandarinka [93]
Answer- 16,000(0.88)t.
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3 years ago
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