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timurjin [86]
2 years ago
11

You bought 3 shirts for $12. How much would 5 shirts cost?

Mathematics
2 answers:
sdas [7]2 years ago
8 0

Answer:

20

Step-by-step explanation:

3/12=4

4x5=20

wooooow

andriy [413]2 years ago
5 0

Answer:

$20

Step-by-step explanation:

12/3 = 4

That means each shirt is 4 dollars.

5×4 = 20

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Write an equation in standard form for the line that passes through the point (2,-3) and is perpendicular to the line y + 4 = -2
sineoko [7]

For this case we have that by definition, the standard form of a linear equation is given by:

ax + by = c

By definition, if two lines are perpendicular then the product of their slopes is -1. That is to say:

m_ {1} * m_ {2} = - 1

We have the following point-slope equation of a line:

y+4 = -\frac {2} {3}(x-12)

The slope is:

m_ {1} = - \frac {2} {3}

We find the slope m_ {2}of a perpendicular line:

m_ {2} = \frac {-1}{m_ {1}}\\m_ {2} = \frac {-1} {-\frac {2} {3}}\\m_ {2} = \frac{3} {2}

Thus, the equation is of the form:

y-y_ {0} = \frac {3} {2} (x-x_ {0})

We have the point through which the line passes:

(x_ {0}, y_ {0}) :( 2, -3)

Thus, the equation is:

y - (- 3) = \frac {3} {2} (x-2)\\y + 3 = \frac {3} {2} (x-2)

We manipulate algebraically:

y + 3 = \frac{3} {2} x- \frac {3} {2} (2)\\y + 3 = \frac{3} {2} x-3

We add 3 to both sides of the equation:

y + 3 + 3 = \frac {3} {2} x\\y + 6 = \frac {3} {2} x

We multiply by 2 on both sides of the equation:

2(y + 6) = 3x\\2y + 12 = 3x

We subtract 3x on both sides:

2y-3x + 12 = 0

We subtract 12 from both sides:

2y-3x = -12

ANswer:

-3x + 2y = -12

5 0
3 years ago
Negative 2 and two-thirds, negative 5 and one-third, negative 10 and two-thirds, negative 21 and one-third, negative 42 and two-
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Answer:

(D) f(x+1)=2f(x)

Step-by-step explanation:

The sequence is:

-2\frac{2}{3}, -5\frac{1}{3}, -10\frac{2}{3}, -21\frac{1}{3}, -42\frac{2}{3}

Now,

-5\frac{1}{3} \div -2\frac{2}{3}=2\\-10\frac{2}{3} \div -5\frac{1}{3} =2

On continuous calculation, we would discover that the next term is gotten from the preceding term by multiplying it by 2.

Therefore for term f(x), the next term f(x+1) is:

f(x+1)=2f(x)

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2=k/6

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z=12/x, so when x=13

z=12/13
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