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professor190 [17]
4 years ago
5

What is the prime factorization of 1,260?

Mathematics
1 answer:
maks197457 [2]4 years ago
3 0
A. 2*2*3*3*5*7

Whilst B and C both also yield 1,260, they aren't broken down in to their prime factors. In B, 4 can be broken down in to 2*2 and 9 in to 3*3, and in C, 6 can be broken down in to 2*3

And D just doesn't total 1,260
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A car travels 14km in 25mins . Find out how far the car can travel in 5 hours if the speed remains the same ? ​
jekas [21]
<h3><u>Answer :- </u></h3>

168 km ...

<h3><u>Explanation :- </u></h3>

It is given that the car travels 14km in 25 minutes..

Now , assume that the distance the car travel in 5 hours be x..

  • Since 1 hour = 60 minutes..
  • 5 hours = 300 minutes ..

• Thus , The two given statements are :-

  • 14km -----------------> 25 minutes..
  • And, x km -------------> 300 minutes..

<h3><u>We know that , </u></h3>

  • The distance travelled by car and the time taken by the car is directly proportional to each other....

<h3>So , </h3>

\frac{14}{25}  =  \frac{x}{300}

= x = 168km

• Hence , Car can travel 168km in 5 hours ..

Hope this helps you :)

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2 years ago
What's the value of y
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Angle y is the same as 85 degrees
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3 years ago
(1 point) A fish tank initially contains 15 liters of pure water. Brine of constant, but unknown, concentration of salt is flowi
Drupady [299]

Answer:

a. \dfrac{dx}{dt} = 6\frac{2}{3} \cdot c

b. x(t) = 6\frac{2}{3} \cdot c \cdot t

c. c  = \dfrac{3}{8}  \ g/L

Step-by-step explanation:

a. The volume of water initially in the fish tank = 15 liters

The volume of brine added per minute = 5 liters per minute

The rate at which the mixture is drained = 5 liters per minute

The amount of salt in the fish tank after t minutes = x

Where the volume of water with x grams of salt = 15 liters

dx =  (5·c - 5·c/3)×dt = 20/3·c = 6\frac{2}{3} \cdot c \cdot dt

\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c

b. The amount of salt, x after t minutes is given by the relation

\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c

dx = 6\frac{2}{3} \cdot c \cdot dt

x(t) = \int\limits \, dx  = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt

x(t) = 6\frac{2}{3} \cdot c \cdot t

c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;

x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10

6\frac{2}{3} \times c  =\dfrac{25 \ grams }{10}

c  =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} }  = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200}  \ g/L = \dfrac{3}{8}  \ g/L

c  = \dfrac{3}{8}  \ g/L

4 0
3 years ago
Maria and Ming start at the same point and drive in opposite directions. Maria drives 75 mph and Ming drives 66 mph. How far apa
k0ka [10]

Answer:

D. 423 miles

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75 miles(3 hours)

66 miles(3 hours)

225+198=423 miles

5 0
3 years ago
Find the lcm of 8 and 56
nalin [4]
8=8,16,24,32,40,48,and so on
56= 56, 112, 168
6 0
3 years ago
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