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3 years ago

What is y=mx+b, 6th grade advance questions

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:m is the gradient or slope

B is the intercept

Step-by-step explanation:

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Malachy rolls a fair dice 168 times.

baherus [9]

Answer:

28 times

Step-by-step explanation:

On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.

8 0

2 years ago

At Elisa's printing company, there are two kinds of printing presses: Model A, which can print 70 books/ day, and model B, which

Dmitrij [34]

Answer:

9 Model As.

Step-by-step explanation:

Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

$A+B=14$

They can print 905 books per day, in other words, since A prints 70 per day and B prints 55 per day:

$70A+55B=905$

This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:

$A=14-B$

Substitute this into the second equation: "

$70(14-B)+55B=905$

First, we can divide everything by 5 to simplify things:

$14(14-B)+11B=181$

Distribute the left:

$196-14B+11B=181$

Combine like terms:

$-3B+196=181$

Subtract 196 from both sides:

$-3B=-15$

Divide both sides by -3

$B=5$

So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

And we're done!

3 0

3 years ago

Find the area of the figure.

Gnoma [55]

15.5 x 12.4 = 192.2 so the answer is 192.2 square feet.

8 0

3 years ago

Read 2 more answers

The temperature of a liquid in an experiment starts at 0 degrees. The temperature of the liquid changes at a rate of -0.2 per mi

Ilia_Sergeevich [38]

Initial temperature of the liquid = 0 degrees.

Rate of changes of liquid temperature = -0.2 per minute.

Rate of change also represents slope of a linear function.

We know, slope-intercept form of a linear equation

y=mx+b, where m is the slope (rate of change) and b is y-intercept(initial temprature).

With respect to given problem, y represents temperature of a liquid after x number of minutes.

According to given problem, slope(rate of change) = -0.2 per minute and y-intercept(initial temprature)=0.

Plugging values of m and b in the above slope-intercept form of a linear equation.We get,

y=-0.2x+0

or y=-0.2x.

Final temprature is given -14.6 degrees and we need to find time when temprature reach -14.6 degrees.

As y represents temperature of a liquid , we need to plug y=-14.6 in above equation.

We get,

-14.6=-0.2x.

Dividing both sides by -0.2.

-14.6/-0.2=-0.2x/-0.2

x=73.

We got 73 minutes.

73 minutes can be convert in hours.

We have 60 minutes in an hour.

Therefore, 73 = 60+13.

So, 1 hour and 13 minutes will it for the liquid to reach -14.6 degrees.

In minutes answer is 73 minutes.

3 0

3 years ago

Answering these questions

Rudiy27

$1.\\ a)\ y=2x-3\ \ \ |subtract\ y\ from\ both\ sides\\\\\boxed{2x-y-3=0}\\\\b)\ y=\dfrac{1}{3}x-\dfrac{2}{5}\ \ \ |multiply\ both\ sides\ by\ 15\\\\15y=5x-3\cdot2\ \ \ |subtract\ 15y\ from\ both\ sides\\\\\boxed{5x-15y-6=0}$

$2.\\a)\ 5x-y+3=0\ \ \ |add\ y\ to\ both\ sides\\\\\boxed{y=5x+3}\\\\d)\ 7x+2y-3=0\ \ \ |subtract\ 7x\ from\ both\ sides\\\\2y-3=-7x\ \ \ |add\ 3\ to\ both\ sides\\\\2y=-7x+3\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{y=-3.5x+1.5}$

$3.\\y=25x+100\ \ \ \ |subtract\ y\ from\ both\ sides\\\\\boxed{25x-y+100=0}$

6 0

4 years ago

What is y=mx+b, 6th grade advance questions​

What is y=mx+b, 6th grade advance questions