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nexus9112 [7]
2 years ago
8

Ms. Sims traveled to 42 countries in 60 days. At this rate, how many countries

Mathematics
1 answer:
DedPeter [7]2 years ago
4 0

Answer: 28

Step-by-step explanation:

The first step to solve this problem is to figure out how many countries per day ms. Sims travels. Do this by dividing 42 by 60. If the division sign is a “per” symbol she would travel 42 every 60 days.

42/60 is 0.7

So she travels 0.7 countries per day.

Multiplied by 40 days (40 times 0.7) is 28. 28 countries per 40 days

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Answer:

x=5\ and\ y=-8

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

y=-x-3

5x+2y=9

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the y values in terms of x from the equation y=-x-3 into the other equation to solve for x

Substituting y=-x-3 into 5x+2y=9.

We have:

5x+2(-x-3)=9

<em>Using distribution.</em>

5x-2x-6=9

<em>Combining like terms.</em>

3x-6=9

Adding 6 both sides.

3x-6+6=9+6

3x=15

Dividing both sides by 3.

\frac{3x}{3}=\frac{15}{3}

∴ x=5

<em>Plugging in x=5 into y=-x-3.</em>

We have,

y=-5-3

∴ y=-8

The solution of the system can be given as (5,-8).

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