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Alex_Xolod [135]
3 years ago
10

What is the quotient for 3/18 divided 7/21

Mathematics
2 answers:
Sloan [31]3 years ago
3 0

Answer:

9/8

Step-by-step explanation:

kolbaska11 [484]3 years ago
3 0

Answer:

1/18

Step-by-step explanation:

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The speed of the current in a creek is 2mph. A person can kayak 10 mi upstream in the same time that it takes him to kayak 14 mi
ad-work [718]

Answer:

  2 hours

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

For a kayak speed of k miles per hour in still water, the speed upstream is (k-2) and the speed downstream is (k+2). Over the distances given, the times are the same, so we can write ...

  10/(k-2) = 14/(k+2)

Multiplying by (k+2)(k-2) gives ...

  10(k+2) = 14(k -2)

  10k +20 = 14k -28 . . . . . eliminate parentheses

  48 = 4k . . . . . . . . . . . . . . add 28-10k

  12 = k

Then the time for 28 miles downstream is ...

  time = 28 / (12 +2) = 2 . . . . hours

It will take the person 2 hours to kayak 28 miles downstream.

5 0
2 years ago
Solve the system of equations by substitution
scoundrel [369]

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

given the 2 equations

x + y = 4 → (1)

y = 3x → (2)

Substitute y = 3x into (1)

x + 3x = 4

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 3 × 1 = 3

solution is (1, 3 )


7 0
3 years ago
One technique of killing cancer cells involves inserting microscopic synthetic rods, called carbon nanotubules, into the cell. W
Vlad [161]

Answer:

The probability that the cell will be killed is 0.9328.

Step-by-step explanation:

We are given that five nanotubules are inserted in a single cancer cell. Independently of each other, they become exposed to near-infrared light with probabilities 0.2, 0.4, 0.3, 0.6, and 0.5.

Let the event that a cell is killed be 'A' and the event where the ith nanotubule kill the cell be '\text{B}_i'.

This means that the cell will get killed if \text{B}_1 \bigcup \text{B}_2 \bigcup \text{B}_3 \bigcup \text{B}_4 \bigcup \text{B}_5 happens. This represents that the cell is killed if nanotubule 1 kills the cell, or nanotubule 2 kills the cell, and so on.

Here, P(\text{B}_1) = 0.2, P(\text{B}_2) = 0.4, P(\text{B}_3) = 0.3, P(\text{B}_4) = 0.6, P(\text{B}_5) = 0.5.

So, the probability that the cell will be killed is given by;

P(A)= 1 - [(1 - P(\text{B}_1)) \times (1 - P(\text{B}_2)) \times (1 - P(\text{B}_3)) \times (1 - P(\text{B}_4)) \times (1 - P(\text{B}_5))]

P(A) = 1 - [(1 - 0.2) \times (1 - 0.4) \times (1 - 0.3) \times (1 - 0.6) \times (1 - 0.5)]

P(A) = 1 - (0.8 \times 0.6 \times 0.7 \times 0.4 \times 0.5)

P(A) = 1 - 0.0672 = 0.9328

Hence, the probability that the cell will be killed is 0.9328.

4 0
3 years ago
How to to do 13x155/26 step by step
Flura [38]

Answer:

Step-by-step explanation:

Just read it from left to right

13*155 = 2015

2015/26 = 77.5

You could also cancel the 13 and 26. If you do, you get

155/2 = 77.5

Either way works.

7 0
3 years ago
How many milliliters (mL) are equal to 32 ounces?
Vadim26 [7]

Answer:

946.353

Step-by-step explanation:

7 0
3 years ago
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