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2 years ago

Caroline can sketch 5 cartoon strips in two hours. How long will it take her to sketch 20 strips

Mathematics

1 answer:

liraira [26]2 years ago

6 0

Answer:

8 hours

Step-by-step explanation:

20÷5 = 4

4×2 = 8

Hope this Helps!

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PLEASE HELP

poizon [28]

Part A
The given line passes through (-2,2) and it is parallel to the line

$4x - 3y - 7 = 0$

We need to determine the slope of this line by writing it in slope -intercept form.

$3y = 4x - 7$

$y = \frac{4}{3} x - \frac{7}{3}$
The slope of this line is
$\frac{4}{3}$

The line parallel to this line also has slope

$m = \frac{4}{3}$

The equation is

$y = \frac{4}{3} x + c$

We substitute (-2,2)

$2 = \frac{4}{3}( - 2) + c$

$c = 2 + \frac{8}{3} = \frac{14}{3}$

The required equation is

$y = \frac{4}{3} x + \frac{14}{3}$

PART B

The given line is

$4x - 3y - 7 = 0$

The slope of this line is
$\frac{4}{3}$

The slope of the line perpendicular to it is

$m = - \frac{3}{4}$

The equation of the line is

$y = - \frac{ 3}{4} x + c$

We substitute the point, (-2,2)

$2= - \frac{ 3}{4} ( - 2) + c$

$2= \frac{ 3}{2} + c$

$c = 2 - \frac{3}{2} = \frac{1}{2}$

The equation of the perpendicular line is

$y= - \frac{ 3}{4} x + \frac{1}{2}$

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HELP ASAP CHOOSE 2 ANSWERS !! :))

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Answer: Most likely (A) and (D)

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If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4? a. 3.75 b. 1.67 c. 0.1 d. 7.5 Please select the best

REY [17]

Because y varies inversely as x, therefore
$y= \frac{k}{x}$
where k = constant.

When x = 6, y = 2.5. Ther efore
$\frac{k}{6} = 2.5$
Cross multiply.
k = 6 x 2.5 = 15

The equation is
$y = \frac{15}{x}$

When x = 4, obtain
$y = \frac{15}{4}= 3.75$

Answer: a. 3.75

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Step-by-step explanation:

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