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3 years ago

Evaluate the following 2/3 + 11/3 – 1/3

Mathematics

1 answer:

arsen [322]3 years ago

6 0

Answer:

12/3 which is =4

Step-by-step explanation:

for adding fractions you keep the denominator the same and just add or subtract the numerators

2+11-1=12

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Aspen trees tend to be smaller in the highlands of the park because they are subject to strong winds. While the number of aspen

pishuonlain [190]

Answer:

Systematic-sampling method is the right answer.

Step-by-step explanation:

A method of sampling in which the sample members are selected from a larger population according to a random starting spot but with a fixed, interval, is known as the systematic sampling method.

We can use the systematic sampling method in the given situation. Individual sample members are chosen at regular intervals from the sampling data. We use to chose the intervals to ensure enough sample size. The main advantage of using this method is that it is more convenient and it is easy to administer. The benefit of using this method will be that the number of aspen trees will be sampled from all across the national park.

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3 years ago

A client would like this logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6

vfiekz [6]

Answer:

87.5 by 70 inches

Step-by-step explanation:

No options were given. So, I will calculate the minimum width

Given

$Original\ Logo = 4.5 : 3.6$

Height = 70 in ---- of the printed logo

Required

Determine the dimension that keeps the requirement

Let x be the width of the printed logo.

So, the ratio can be represented as:

$Printed\ Logo = x : 70$

Equate both ratios

$x : 70 = 4.5 : 3.6$

As fraction

$x / 70 = 4.5 / 3.6$

Multiply through by 70

$70 * x / 70 = 4.5 / 3.6* 70$

$x = 87.5$

So, one of the dimension that meets the requirement is a width of 87.5 inches

4 0

3 years ago

An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva

Ira Lisetskai [31]

Answer:

An old bone contains 80% of its original carbon-14 in 1844.6479 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

now, we can use formula

$P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }$

we can plug back h

and we get

$P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }$

An old bone contains 80% of its original carbon-14

so,

P(t)=0.80Po

we can plug it and then we solve for t

$0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }$

$0.80=(\frac{1}{2})^{\frac{t}{5730} }$

$\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)$

$t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}$

$t=1844.6479$

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years

4 0

3 years ago

Read 2 more answers

The mayor gets elected every four years. Treasurer gets elected every six years. Both were elected this year. How many years bef

aleksandrvk [35]

<h3>There are 11 years before both the elections happen in the same year.</h3>

Step-by-step explanation:

The mayor gets selected once in every 4 years.

So, the number of years the mayor elections takes place

= 1, 4 ,8, 12, 16, 20, 24, 28,....

Now, the Treasurer gets selected once in every 6 years.

So, the number of years the Treasurer elections takes place

= 1, 6, 12, 18, 24, 30

Now,as we can see from both statements, the year in which both elections happen are the <u>common factors of 4 and 6.</u>

<u>The first common factor of 4 and 6 is 12. </u>

<u></u>

So,in twelfth year both elections happen in the same year again.

Hence, there are 11 years before the elections happen in the same year.

4 0

3 years ago

The following transformation is an example of which of the following.

Scorpion4ik [409]

Answer:

Translation.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Evaluate the following 2/3 + 11/3 – 1/3​

Evaluate the following 2/3 + 11/3 – 1/3