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serg [7]
3 years ago
12

Solve the system of equations.- 9x + 4y = 69x + 5y = -33​

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Let us solve this system of equations by using the elimination method. Adding the 2 equations, we get

9x + 5y - 9x + 4y = -33 + 6

9y = -27

y = -3

Substituting this value of y in the first equation, we get

-9x + 4(-3) = 6

-9x - 12 = 6

9x + 12 = -6

9x = -18

x = -2

Therefore, x = -2, and y = -3. Hope this helps! If you have any questions, feel free to ask.

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Tommy can ride his bicycle 4.5 miles in 15 minutes. How many miles can he ride in 75 minutes
adoni [48]
Here, we need to set up a proportion.

4.5 miles in 15 minutes.

In 75 minutes, how much miles can he ride?

4.5/15 = x/75

Cross multiply

4.5 * 75 = 337.5
15*x = 15x

15x = 337.5

15x/15 = 337.5/15
x= 22.5

Final answer:- Tommy can ride 22.5 miles in 75 minutes. 


5 0
3 years ago
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A region with a 5-mile radius has a population density of about 3100 people per square mile. Find the number of people who live
Gwar [14]

Answer:

243,000 people

Step-by-step explanation:

First, what we need to do is to calculate the area of the region using the 5-mile radius

Mathematically, we can calculate this as the area of a circle

Area = pi * r^2

Our r here is 5 miles

Area = pi * 5^2 = pi * 25 = 78.54 square miles

Now to get the population, we know that per square mile we have 3,100.

Hence per 78.54 square mile, we have 78.54 * 3100 = 243,273 people

To the nearest thousand, 243,000

4 0
3 years ago
What is the vertex of the graph of f(x) = x2 + 4x + 6?
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Answer:

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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2 years ago
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Answer:

is this required answer

Step-by-step explanation:

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