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2 years ago

2. Without solving the systems, explain why the following systems must have the same solution.

Mathematics

2 answers:

tino4ka555 [31]2 years ago

5 0

Because when you simplify system b, it becomes the same as system A

Musya8 [376]2 years ago

4 0

System multiplied by 2= system b

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2 years ago

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Fill in the blank with the correct term or number to complete the sentence.

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2 years ago

Two skiers are 30 kilometers apart and head towards each other. They meet in 2 hours. If the second skier is 5 kilometers per ho

DENIUS [597]

Answer:

Speed of first skier = 5 km/h

Speed of second skier = 10 km/h

Step-by-step explanation:

Given:

Distance between skiers = 30 km

Time after which they meet = 2 hours

Second skier is 5 km/h faster than the first skier.

To find speed of each skier.

Solution:

Let the speed of first skier be in km/h = $x$

<em>Distance covered in km 2 hours will be = $Speed\times time=x\times 2=2x\ km$ </em>

Speed of second skier in km/h can be given as = $x+5$

<em>Distance traveled by second skier after 2 hours will be = $Speed\times time=(x+5)\times 2=(2x+10)\ km$ [Using distribution]</em>

Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km

Thus, we have:

$2x+2x+10=30$

Solving for $x$

$4x+10=30$

Subtracting both sides by 10.

$4x+10-10=30-10$

$4x=20$

Dividing both sides by 4.

$\frac{4x}{4}=\frac{20}{4}$

$x=5$

Speed of first skier = 5 km/h

Speed of second skier = $5+5$ = 10 km/h

8 0

3 years ago

Discuss the possible reasons for the differences in price in Leomande. Discuss ways to find unit prices using proportions. The l

Maru [420]

There are many reasons why there are differences in price in Lemonade.
The first is the volume or amount of the Lemonade. Obviously, the greater the amount of the Lemonade, the higher is its price.
The price of the lemonade is given, the unit price then is
$4.99/95 ounces = $0.053/ounce
Another reason is the difference in the ingredients. Some Lemonade might have additional ingredients that could make the price higher.
The difference in materials costs in different areas may also be the reason.

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2 years ago

jamal completed his math homework in 2/3 of an hour and his reading homework in 3/5 of an hour. How much time did it take him to

Assoli18 [71]

Answer:

Step-by-step explanation: We have to add how much time it took him to do all of his homework. To do this, we have to add 2/3 and 3/5.

First, we have to find a LCM between 3 and 5.

The LCM between those numbers are 15.

Next we find out what number to multiply 3 by to get 15, we multiply it by 5.

2 * 5 = 10

3 * 5 = 15

Next we find out what number to multiply 5 by to get 15, we multiply it by 3.

3 * 3 = 9

5 * 3 = 15

10/15+9/15=19/15

We are left off with 1 4/15

So it took him 1 hour and 4/15 minutes to do his homework.

3 0

3 years ago