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3 years ago

How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a speed of 55 km/hr? *

Mathematics

1 answer:

VashaNatasha [74]3 years ago

7 0

Answer:

3.63 i think

Step-by-step explanation:

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The variables x=9 and y=15 vary directly. Write an equation that relates the variables

erik [133]

Answer:

x = 0.6y.

Step-by-step explanation:

x = ky is direct variation where k is some constant;

Now we find k:-

Substituting for x and y:

9 = k*15

k = 9/15 = 0.6

So the equation is

x = 0.6y.

7 0

2 years ago

Read 2 more answers

Olive and Ryan have picture frames with the same perimeter. Olive’s picture frame has a width 1.25 times the width of Ryan’s pic

Mashcka [7]

Step-by-step explanation:

x=1.25y

perimeter= 2width+2length

olivias p=ryan's p so:

Ryan's p= 2*1.25 Ryan's width+ 2Olivias length

Olivias length= (2,5Ryan's width- Ryan's p)/2

8 0

3 years ago

What number goes in the box to make the equation true? Blank = 5/16 x 8/15

Sidana [21]

Answer:

The blank box is 1/6

Step-by-step explanation:

5/ 16 x 8/15 = 40/240

40/240 simplified = 1/6

3 0

3 years ago

Read 2 more answers

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

$\rule{300}{3}$

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

$\Large\text{$-\displaystyle\frac{3}{2}$}$

Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

$\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

4 0

2 years ago

Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find

Anastasy [175]

Required area of shaded portion

= Area of square ABCD - 4 × area of one quadrant

$= 14 \times 14 - 4 \times \frac{90}{360} \times \frac{22}{7} \times (7) \times (7)$

$= 196 - 154 = 42 \: cm {}^{2}$

3 0

3 years ago