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d1i1m1o1n [39]
3 years ago
12

The ratio of taxes to profits is 7:3. Find the amount of taxes if the taxes and profits total $1000.

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

Answer:

$700

Step-by-step explanation:

Given:

The ratio of taxes to profits is 7:3.

The taxes and profits total $1000.

Question asked:

Amount of taxes = ?

Solution:

Let ratios = x

And amount of taxes = 7x

Then amount of profit = 3x

Sum of amount of taxes and profits = $1000.(given)

                                                           = 7x + 3x = 1000\\= 10x = 1000\\

by dividing both side by 10

                                                         x = 100

Thus, amount of taxes = 7x = 7\times100 = 700

Thus, amount of profits = 3x = 3\times100 = 300

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egoroff_w [7]

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

(152)_b = 0x6A               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

(6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106

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Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

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Then, the octal form we get, (152)_8

Substitute this in [1] we have;

(152)_b = (152)_8

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

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3 years ago
What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?
rusak2 [61]

Answer:

The equation for the given line is y − 1 = 4(x + 3). Let us convert this equation in slope intercept form y= mx +b, where m is slope and b is the y-intercept. Thus, the slope of this line is 4.Now, we know that the slope of parallel lines are equal. Hence, the slope of the required line is same as the slope of the given line. Hence, the slope of the required line is m = 4It passes through the point (4,32).The point slope form of a line is given by Therefore the equation of the line is y = 4x+16,D is the correct option.

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abruzzese [7]
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Answer:

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l = 5 ft

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