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1 year ago

What is 8/15 plus 2/5 equal to

Mathematics

1 answer:

anastassius [24]1 year ago

5 0

We have to add 8/15 to 2/5.

To add two fractions we have to make them have the same denominator, so we have to convert 2/5 to have a denominator of 15. To do this, we have to multiply 2/5 by 3 and then we can add the fractions:

$\begin{gathered} \frac{8}{15}+\frac{2}{5} \\ \frac{8}{15}+\frac{2}{5}\cdot\frac{3}{3} \\ \frac{8}{15}+\frac{6}{15} \\ \frac{14}{15} \end{gathered}$

Answer: 14/15

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What is the simplified version of this?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B3%2B%5Csqrt%7B5%7D%20%

ExtremeBDS [4]

Answer:

(3√2 - √10)/4

Step-by-step explanation:

Simplify, rationalize the denominator

√2/(3 + √5) =
√2(3 - √5)/(3 + √5) (3 - √5) =
(3√2 - √10)/(3² - 5) =
(3√2 - √10)/4

3 0

3 years ago

Ellen has a bag with 3 red marbles and 2 blue marbles in it. she is going to randomly draw a marble from the bag 300 times, putt

muminat

The blue marble is predicted to be picked 120 times, in the experiment of picking a marble from a bag containing 3 red and 2 blue marbles and performing this experiment 300 times, using the theoretical probability.

The theoretical probability of any event is the ratio of the number of favorable outcomes to the event, to the total number of possible outcomes in the experiment.

If we have an event A, the number of favorable outcomes to event A as n, and the total number of possible outcomes in the experiment as S, then the theoretical probability of event A is given as:

P(A) = n/S.

In the question, we are given that Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw.

We are asked the predict the number of times that the marble picked will be blue using the theoretical probability.

Let the event of picking a blue marble be A.

The number of favorable outcomes to event A (n) = 2 {The total number of blue marbles in the bag}.

The total number of possible outcomes in the experiment of picking a ball (S) = 5 {The total number of marbles in the bag}.

Thus, the theoretical probability of event A is,

P(A) = n/S = 2/5 = 0.4.

To predict the number of times marble picked was blue, we multiply the time's the experiment was performed by the theoretical probability of picking a blue ball.

Thus, the predicted number of times = 300 * 0.4 = 120.

Thus, the blue marble is predicted to be picked 120 times, in the experiment of picking a marble from a bag containing 3 red and 2 blue marbles and performing this experiment 300 times, using the theoretical probability.

Learn more about theoretical probability at

brainly.com/question/3396097

#SPJ4

4 0

2 years ago

6. Write the following proportion using colons. 7 is to 21 as 3 is to 9. A. 7:21 = 3:9 B. 7:3 = 21:9 C. 21:7 = 3:9 D. 7:21 = 9:3

Vika [28.1K]

Answer:

A. 7:21 = 3:9

Step-by-step explanation:

7 is to 21 as 3 is to 9.

Replace the word to with colons and the word as with the equals sign

7:21 = 3:9

5 0

3 years ago

A circular oil slick is expanding at a rate of 3m/min. How fast is the area of the oil slick changing when the diameter is 48 me

olga55 [171]

Answer:

$48\pi \:m/min$

Step-by-step explanation:

Diameter = 48 m

Therefore radius r = 48/2 = 24 m

$Area \: of \: circular \: oil \: slick \\ A = \pi {r}^{2} \\ differentiating \: w \: r \: to \: t \: on \: \\ both \: sides \\ \\ \frac{dA}{dt} = \frac{d}{dt} (\pi {r}^{2} )\\ \\ \frac{dA}{dt} =\pi \frac{d}{dt} {r}^{2} \\ \\ \frac{dA}{dt} =\pi \times 2{r}\\ \\ \frac{dA}{dt} =2\pi {r} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times {24} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi \: m \: per \: min$

6 0

3 years ago

How does the graph move if the h is positive (for instance, h is 4): f(x) =(x-h)2

Dvinal [7]

Answer:

it moves graph left

Step-by-step explanation:

h=left and right

k=up and down

7 0

3 years ago