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kotegsom [21]
3 years ago
10

Carlos can run 5 miles in 45 minutes, Kelly can run 10 miles in 80 minutes, and Mick can run 30 miles in 170 minutes

Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

Mick can run farther in less time if that's the question

Step-by-step explanation:

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If a linear equation is written in form y=1/2x-2, which method could be used to graph the line represented by the equation?
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To graph the line y=1/2x-2 you plot your first point at (0,-2) because that is your y-intercept and then you go up one and over two and plot your next point and you keep doing that until it forms a line and to go the other way you go down one left two.   Hope this helps :D
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3 years ago
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Find the equation of the line that passes through the point (7,5) and is perpendicular to the line 2x - 3y=6
balu736 [363]
(7,5);\ \ \ \  2x - 3y=6 \ \ / subtract \ 2x \ from \ each \ side \\ \\-3y = -2x + 6\ \ /  divide \    each \term \ by \ (-3) \\ \\ y =  \frac{2} {3}x -2\\ \\ The \ slope \ is :m _{1} =  \frac{ 2}{3} \\ \\ If \ m_{1} \ and \ m _{2} \ are \ the \ gradients \ of \ two \ perpendicular \\ \\ lines \ we \ have \\\\\ m _{1}*m _{2} = -1

\frac{2}{3}\cdot m_{2}=-1\ \ / \cdot (\frac{3}{2})\\\\m_{2}=-\frac{3}{2}\\\\Now \ your \ equation \ of \ line \ passing \ through \ (7,5) would \ be: \\ \\ y=m_{2}x+b \\ \\5=-\frac{3}{2}\cdot 7  + b \\ \\ 5= -\frac{21}{2}+b\\ \\b=5+\frac{21}{2} \\ \\b= \frac{10}{2}+\frac{21}{2}\\ \\b= \frac{31}{2}\\\\b=15.5 \\ \\ y = -\frac{3}{2}x +15.5
8 0
3 years ago
Marylou buys a package of 500 jewels for her jeans. She uses the same number of jewels for each pair of jeans. How many jewels w
Gnom [1K]
HOW MANY PAIRS OF JEANS DOES SHE HAVE? Based on the merits, here it is

ASSUMING SHE HAS 5O PAIRS OF JEANS

j \:  = jewels\\  50(j)  \leqslant  500 \\ 10  \: jewels \: on \: eavh \: pair
ASSUMING WE DON'T KNOW HOW MANY PAIRS OF JEANS SHE HAS

j \:  = jewels \\ p = pairs \: ofjeans\\  (p) \times (j)  \leqslant  500 \\ (j )\: \: jewels \: on \: eavh \: pair \: of \: her \: (p) \: total \: jeans
6 0
3 years ago
A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If two marbles are drawn out of the bag, what is the exact pro
Nikitich [7]

Answer:

the probability to select both marbles to be red is 36% round up to the nearest whole number.

Step-by-step explanation:

8 0
3 years ago
Directions: for questions 1 through 4, find the diagonal length of each solid figure.
Alex787 [66]
\text{The length of the diagonal is }11.2\text{ mm}

Here, we want to find the diagonal of the given solid

To do this, we need the appropriate triangle

Firstly, we need the diagonal of the base

To get this, we use Pythagoras' theorem for the base

The other measures are 6 mm and 8 mm

According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the diagonal as l

Mathematically;

\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}

Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above

Thus, we calculate this using the Pytthagoras' theorem as follows;

\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}

7 0
1 year ago
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