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kakasveta [241]
3 years ago
15

A truck has left Amsterdam with a speed of 52 mph. After 5 hours a car has left Amsterdam with a speed of 78 mph. At what distan

ce from Amsterdam will the car catch up with the truck? Answer should be in miles.
Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:360 miles


Step-by-step explanation:


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Solve the system with elimination.3x + y = 9x + 2y = 3
NikAS [45]

In order to solve by elimination, let's multiply the first equation by -2. This way, when we add the equations, the variable y will be canceled out:

\begin{cases}-6x-2y=-18 \\ x+2y={3}\end{cases}

Now, adding the equations, we have:

\begin{gathered} -6x-2y+x+2y=-18+3\\ \\ -5x=-15\\ \\ x=\frac{-15}{-5}\\ \\ x=3 \end{gathered}

Now, calculating the value of y, we have:

\begin{gathered} x+2y=3\\ \\ 3+2y=3\\ \\ 2y=0\\ \\ y=0 \end{gathered}

Therefore the solution is (3, 0).

5 0
1 year ago
A fish population in a lake decreases by 2% each year. What is the common ratio? (Write your answer as a decimal)
galina1969 [7]

Answer:

the common ratio is 0.98.

Step-by-step explanation:

A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.

The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%

Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,

98% = \frac{98}{100}=0.98

Therefore, the common ratio or decay factor is 0.98.

8 0
3 years ago
How do i evaluate it????
Kitty [74]

Answer:

1 for all evaluate questions

Step-by-step explanation:

just remember anything to the zero power is 1

4 0
3 years ago
30 points if you answer this!
lord [1]

Answer:

4y

Step-by-step explanation:

4y is a term in itself 3 and x separate aren't and 4x + 7 is an equation not a term.

8 0
3 years ago
Read 2 more answers
A. x-6=8-(9+x)
Svetllana [295]

Answer:

Answer A = 5/2

Answer B = 4

Answer C = -3

Answer D = 3

Answer E = 12/5

6 0
3 years ago
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