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2 years ago

Tim installs 50 square feet of his floor in 45 minutes. At this rate how long does it take him to install 495 square feet.

1 answer:

7 0

50 sqft = 45 min
495 sqft = x min

495/50 is 9.9. So we know we multiplied 50 by 9.9 to change it to 495.
Do the same on the other side. 45 x 9.9 = 445.5.

It will take him 445.5 minutes, or 7.425 hours

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Step-by-step explanation:

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2 years ago

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2 years ago

Use doubles to find the sum of 7 + 8 write a number sentence

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3 years ago

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If s and t are integers greater than 1 and each is a factor of the integer n, which of the following must be a factor of n^{st}

andrey2020 [161]

Answer:

E) 1 and 2

Step-by-step explanation:

We are given that there are two integers (s and t) and they are factors of another integer (n). For example if s = 3 and t = 2, we can have n = 6.

Thus:

n^(st) = 6^(2*3) = 6^6 = (2^6)(3^6)

For the first condition: s^t = 3^2 is a factor of (2^6)(3^6)

For the second condition: (st)^2 = (3*2)^2 = 6^2 is a factor of 6^6

For the third condition: s+t = 3+2 = 5 is not a factor of 6^6 or (2^6)(3^6)

Therefore, only 1 and 2 are factors of n^(st)

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3 years ago

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4.) A bag contains 10 red marbles and 5 blue marbles. You randomly select 3 marbles from the bag. What is

sesenic [268]

Answer:

a) 1/27

b) 2/91

Step-by-step explanation:

A bag contains 10 red marbles and 5 blue marbles (15 marbles in total). You randomly select 3 marbles from the bag.

a) You replace each marble before selecting the next one.

The probability of selecting one blue marble is

$\dfrac{5}{15}=\dfrac{1}{3},$

then the probability that all 3 marbles are blue is

$\dfrac{1}{3}\times \dfrac{1}{3}\times \dfrac{1}{3}=\dfrac{1}{27}$

b) You do not replace each marble before selecting the next one. Each time the number of blue marbles decreases by 1 and the total number of marbles decreases by 1 too. So the probability that all 3 marbles are blue is

$\dfrac{5}{15}\times \dfrac{4}{14}\times \dfrac{3}{13}=\dfrac{2}{91}$

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2 years ago