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Mazyrski [523]
3 years ago
15

Jaron walked 15 blocks north and then 3 blocks west to school. Marisol walked 3 blocks east and then 15 blocks south to school.

Write an expression to show that each traveled the same distance.
Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

sqrt(15² + 3²) = sqrt(15² + 3²)

Step-by-step explanation:

Using Pythagoras:

15 blocks North = 15 blocks south (direction opposite to each other)

3 blocks west = 3 blocks east (directions opposite to each other)

Hence distance traveled (d) :

JARON

D = sqrt(15² + 3²)

MARISOL:

D = sqrt(15² + 3²)

Hence ;

sqrt(15² + 3²) = sqrt(15² + 3²)

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The number line shows the graph of an inequality:
Minchanka [31]
5 halves left from 0 is -2.5
-3.5 is further left than -2.5 so B
6 0
3 years ago
Kaitlyn drove 360 miles in 9 hours. If she continues driving at the same speed, how far will she have driven in 11 hours?
stellarik [79]

Answer:

440 miles

Step-by-step explanation:

First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.

Hope this helps! :)

4 0
2 years ago
jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

5 0
3 years ago
Select the correct answer.
galina1969 [7]

Answer:

<h2>C. 8 + 3i</h2>

Step-by-step explanation:

(9 + 6i) - (1 + 3i) = 9 + 6i - 1 - 3i = (9 - 1) + (6i - 3i) = 8 + 3i

8 0
3 years ago
Please someone help me I'm stuck on my homework for at least a hour
miss Akunina [59]

Pi is 3.14

1st # is 3.13

2nd # is 3.15

These numbers are irrational because pi=infinity

( I am not exactly sure if this is right so don't blame me if you get this wrong, I just tried to help.....) :T

6 0
3 years ago
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