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myrzilka [38]
3 years ago
7

Two trains leave stations 324 miles apart at the same time and travel toward each other. one train travels at 95 mph while the o

ther travels at 85 mph how long will it take for the two trains to meet
Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0
324/(95+85)=1.8 It will take 1 hour and 48 minutes
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What are the solutions to x2 + 8x + 7 =.b?
loris [4]

Answer:

x = 7 and x = -1

Step-by-step explanation:

First, we need to factor this quadratic.

To do this, start by finding all the factors of C.

7 x 1, -7 x -1

Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.

Now, we can use the numbers 7 and 1 to create two binomials.

( x + 7 ) ( x + 1 ) = 0

The last thing we need to do is to set those binomials to 0 and solve each of them individually.

x + 7 = 0

x = - 7

Solving the first binomial gives us our first solution, -7.

x + 1 = 0

x = -1

Solving the second one gives us our second solution, -1.

The solutions are -7 and -1.

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3 years ago
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29 mint plants and 29 other herb plants at the garden center. Considering this data, how many of the next 62 herb plants stocked
spin [16.1K]

Answer: 31 mint plants

Step-by-step explanation:

         We will have mint plants over total plants:

29/29+29 = 29/58 = 1/2

         Now, we will multiply 62 by 1/2 to guess how many mint plants will be stocked.

62* 1/2 = 31

  We should expect about 31 plants of the total plants to be mint plants.

7 0
2 years ago
Dr. Blumen invested $5,000 part of it was invested in bonds at a rate of 6% in the rest was invested in a money market at the ra
abruzzese [7]
So... let's say the amounts invested were "a" at 6% and "b" at 7.5%.

ok.. hmm what's 6% of a? well, (6/100) * a or 0.06a.
what's 7.5% of b? well, (7.5/100) * b or 0.075b.

now... we know, whatever "a" and "b" are, they total the investment of 5000 bucks, thus a + b = 5000

and the interest yielded was 337.50, thus 0.06a + 0.075b = 337.50

thus    \bf \begin{cases}
a+b=5000\implies \boxed{b}=5000-a\\
0.06a+0.075b=337.50\\
----------\\
0.06a+0.075\left( \boxed{5000-a} \right)=337.50
\end{cases}

solve for "a", to see how much was invested at 6%.

what about "b"?  well, b = 5000 - a.
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3 years ago
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