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PolarNik [594]
3 years ago
14

Two fractions with a difference of 1/3 but with neither denominator equal to 3

Mathematics
2 answers:
Kryger [21]3 years ago
4 0

Answer: 9/12 - 5/12 = 4/12 = 1/3

Step-by-step explanation: Like fractions are the fractions that have same denominators.

In order to find a pair of fractions whose difference is , we can use the concept of equivalent fractions as well.

We can have many many pairs of like fraction whose difference is . An example illustrated below will give a better understanding:

Here, 9/12 and 5/12 are like fraction. Their difference is  1/3

Rudiy273 years ago
3 0

Answer:

3/9 and 6/9

Step-by-step explanation:

3/9 is simplified to 1/3

6/9 is simplified to 2/3

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Can someone plz help me?
ivann1987 [24]

Answer: The correct answer is Choice C.

Step-by-step explanation: In order to solve this problem you need to look at the equation’s parts.

The first part is multiplying 5 by the contents of the parenthesis. So, 5(2x-2) equals 10x - 10. Now, but the equation together and simplify it:

10x - 10 + 10x =

20x - 10

3 0
3 years ago
Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area: where V = volume (mm3
Alex

Answer:

V = 20.2969 mm^3 @ t = 10

r = 1.692 mm @ t = 10

Step-by-step explanation:

The solution to the first order ordinary differential equation:

\frac{dV}{dt} = -kA

Using Euler's method

\frac{dVi}{dt} = -k *4pi*r^2_{i} = -k *4pi*(\frac {3 V_{i} }{4pi})^(2/3)\\ V_{i+1} = V'_{i} *h + V_{i}    \\

Where initial droplet volume is:

V(0) = \frac{4pi}{3} * r(0)^3 =  \frac{4pi}{3} * 2.5^3 = 65.45 mm^3

Hence, the iterative solution will be as next:

  • i = 1, ti = 0, Vi = 65.45

V'_{i}  = -k *4pi*(\frac{3*65.45}{4pi})^(2/3)  = -6.283\\V_{i+1} = 65.45-6.283*0.25 = 63.88

  • i = 2, ti = 0.5, Vi = 63.88

V'_{i}  = -k *4pi*(\frac{3*63.88}{4pi})^(2/3)  = -6.182\\V_{i+1} = 63.88-6.182*0.25 = 62.33

  • i = 3, ti = 1, Vi = 62.33

V'_{i}  = -k *4pi*(\frac{3*62.33}{4pi})^(2/3)  = -6.082\\V_{i+1} = 62.33-6.082*0.25 = 60.813

We compute the next iterations in MATLAB (see attachment)

Volume @ t = 10 is = 20.2969

The droplet radius at t=10 mins

r(10) = (\frac{3*20.2969}{4pi})^(2/3) = 1.692 mm\\

The average change of droplet radius with time is:

Δr/Δt = \frac{r(10) - r(0)}{10-0} = \frac{1.692 - 2.5}{10} = -0.0808 mm/min

The value of the evaporation rate is close the value of k = 0.08 mm/min

Hence, the results are accurate and consistent!

5 0
3 years ago
4.
Schach [20]

The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.

<h3>What is the post run mean?</h3>

This can be found as:

= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10

= 98

<h3>What is the post run median?</h3>

First order the pulses from smallest to largest:

= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110

The two digits in the middle are:

96 and 100

The median will be:

= (96 + 100) / 10

= 98

In conclusion, option B is correct.

Find out more on the median at brainly.com/question/396397.

8 0
2 years ago
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
Based only on the information given in the diagram which congruence theorem or postulates would be given as reason why HEL=PME
Eduardwww [97]

I would mark answers:

HL, HA, ASA.

5 0
3 years ago
Read 2 more answers
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