Please help for hw with proportions

What is the quotient of 5/6+2/7 A. 35/12 B. 52/42 C. 7/13 D. 5/21

BlackZzzverrR [31]

Answer is A. 35/12

Step by step.
Quotient is division.
5/6 divided by 2/7 = x
To divide fractions, flip one and multiply.
5/6 x 7/2 = 35/12
So your answer is A. 35/12.

4 0

2 years ago

Read 2 more answers

Martin has 5/6 of a pizza Liam has four times as much pizza is Martin how much pizza does Liam have? (Put it in a fraction)

djverab [1.8K]

Answer:

The pizza of martin is $\dfrac{4}{5}$

Step-by-step explanation:

Given that,

Martin has $\dfrac{5}{6}$ of pizza.

Liam has four time much pizza.

Let us consider pizza is x.

We need to calculate the how much pizza of martin

Using given data

Pizza of Martin = $x\times\dfrac{5}{6}$

Pizza of Liam = $4\times(\dfrac{5}{6}x)$

The pizza of martin will be

$Pizza\ of\ martin=\dfrac{\dfrac{20}{6}x}{\dfrac{20}{6}x+\dfrac{5}{6}x}$

$Pizza\ of\ martin =\dfrac{4}{5}$

Hence, The pizza of martin is $\dfrac{4}{5}$

6 0

3 years ago

A 90% confidence interval for the mean height of students

Westkost [7]

Answer:

$ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635$

And the best answer on this case would be:

b) m = 4.635

Step-by-step explanation:

Let X the random variable of interest and we know that the confidence interval for the population mean $\mu$ is given by this formula:

$\bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}$

The confidence level on this case is 0.9 and the significance $\alpha=1-0.9=0.1$

The confidence interval calculated on this case is $60.128 \leq \mu \leq 69.397$

The margin of error for this confidence interval is given by:

$ME =t_{\alpha/2} \frac{s}{\sqrt{n}}$

Since the confidence interval is symmetrical we can estimate the margin of error with the following formula:

$ME = \frac{Upper -Lower}{2}$

Where Upper and Lower represent the bounds for the confidence interval calculated and replacing we got:

$ME= \frac{69.397-60.128}{2}= 4.6345 \approx 4.635$

And the best answer on this case would be:

b) m = 4.635

4 0

3 years ago

How do i find the slope

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

m= $\frac{2-4 }{x_{2} -x_{1} }$

Now we insert our second x point:

m= $\frac{2-4 }{-3 -x_{1} }$

And finally our first x point:

m= $\frac{2-4 }{-3 -3 }$

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

m= $\frac{1}{3}$

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y= $\frac{1}{3}$ x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$