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3 years ago

What is 2/3 + 1/6 ?

Mathematics

2 answers:

algol133 years ago

6 0

Answer:

5/6

Step-by-step explanation:

First: 2/3=4/6

Then: 4/6+1/6=5/6

makkiz [27]3 years ago

3 0

2/3 +1/6

find the common denominator for 2/3 which is 6

multiply by 2 for 2/3

2(2)/3(2)=4/6

4/6+1/6

Add the numerators together

4+1=5

Denominator stays the same

4/6+1/6

Answer: 5/6

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Computer battery A has 4/5 of its power remaining. Computer battery B has 9/20 of its power remaining. How much more power does

zhuklara [117]

Answer:

7/20

Step-by-step explanation:

GIven:

Battery A = 4/5 remaining

Battery B = 9/20 remaining

assuming both batteries are otherwise identical (except for charge level remaining), then,

Battery A - Battery B

= 4/5 - 9/20

we need to convert both fractions to same denominator to perform the subtraction easily. Note that the Least Common Multiple for 5 and 20 is 20, hence we convert both denominators to 20,

Battery A - Battery B

= 4/5 - 9/20

= (4/5) (4/4) - 9/20

= 16/20-9/20

= 7/20

7 0

3 years ago

the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

<u>Step-by-step explanation:</u>

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

8 0

4 years ago

You are dealt one card from a standard 52-card deck. find the probability of being dealt an ace or a 9

Mumz [18]

there are 4 aces and 4 9's for a total of 8 cards

there is a total of 52 cards

so 9/52 is the probability

4 0

3 years ago

What is the value of y^2-x^4y

Daniel [21]

Answer:

Step-by-step explanation:

y²-x⁴

y=9, x=2

9²-2⁴ = 81-16 = 65

4 0

3 years ago

The sum of three consecutive integers if the last integer is z.

lubasha [3.4K]

The last integer is z, then the other two are z-1 and z-2.
The sum is therefore
(z-2)+(z-1)+z=3z-3.

6 0

3 years ago