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3 years ago

Write in simplest form

Mathematics

1 answer:

Gnoma [55]3 years ago

4 0

Find the commomon denominator of 6 and 5.

It's 6 · 5 = 30.

$\dfrac{5}{6}=\dfrac{5\cdot5}{6\cdot5}=\dfrac{25}{30}\\\\\dfrac{1}{5}=\dfrac{1\cdot6}{5\cdot6}=\dfrac{6}{30}$

$\left(\dfrac{5}{6}-\dfrac{1}{5}\right)\div\dfrac{4}{5}=\left(\dfrac{25}{30}-\dfrac{6}{30}\right)\div\dfrac{4}{5}=\dfrac{25-6}{30}\div\dfrac{4}{5}=\dfrac{19}{30}\div\dfrac{4}{5}$

Divide by fraction is the same like multiply by reciprocal of this fraction:

$=\dfrac{19}{30}\cdot\dfrac{5}{4}=\dfrac{19}{6}\cdot\dfrac{1}{4}=\dfrac{19}{24}$

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2. Use the relationship you established in part 1 to find the m your work. (1 point)

S_A_V [24]

When faced with an unknown variable in a maths problem, it is advised to find the subject formula and then use it to solve the equation to find the answer.

<h3>What is an Unknown Variable?</h3>

This refers to the type of variable in a given equation that has to be solved for because its properties or value is not known.

Hence, we can see that when faced with an unknown variable in a given math problem, it is better to find the subject formula, then input the value of this into an equation, to find the value of the variable.

Read more about unknown variables here:

brainly.com/question/2133551

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8 0

1 year ago

What is the set fee, or initial value, of this function

Ber [7]

Answer:
The set fee would be $15

Explanation:
The set fee is the starting value. This means that it is the value of the y at x = 0 (y-intercept).

To get the set fee, we would first need to get the equation of the line.

Equation of the linear line has the following general formula:
y = mx + c
where m is the slope and c is the y-intercept

1- getting the slope:
we are given two points which are:
(20,25) and (50,40)
the slope = $\frac{y2-y1}{x2-x1}= \frac{40-25}{50-20} = 0.5$

The equation now is:
y = 0.5x + c

2- getting the value of the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will choose the point (20,25)
y = 0.5x + c
25 = 0.5(20) + c
25 = 10 + c
c = 15

The equation of the line representing the scenario is:
y = 0.5x + 15

Now, we know that the value of the c is the y-intercept which is the initial value of the function at x=0.
In our situation, this represents the set fee.

Hope this helps :)

6 0

3 years ago

What's the highest common multiple of 16 and 24

Alex Ar [27]

The highest common multiple of 16 and 24 is 48.
3 x 16 = 48
2 x 24 = 48

4 0

2 years ago

Read 2 more answers

Which term describes a function in which the y-values form a geometric sequence

romanna [79]

The geometric sequence is a sequence in which the proceeding number is equal to the preceeding number multiplied by a ratio. The expression that represents this sequence is an = a1*r^(n-1) where r is the ratio and n is an integer. This type of formula is exponential

8 0

2 years ago

A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur

Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.8}{2} = 0.1$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.1 = 0.9$ , so Z = 1.28.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.28\frac{1.5}{\sqrt{305}} = 0.1$

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0

3 years ago