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3 years ago

MATHS PROBLEM SOLVING

1 answer:

3 0

Very nice Question! Please be careful during each step:

1) First fill 5 liter bucket, and transfer it's water to 3 liter. Fill 3-liter bucket completely from it, so now you have 2 liter water in 5 liter bucket.

2) Now, empty 3 liter bucket, & transfer that 2 liter water from 5 liter bucket to it.
Now, you have an empty 5 liter bucket + 2 liter water in 3 liter bucket.

3) Now, fill 5 liter bucket completely, and fill 3-liter bucket completely, which had 1 liter space empty, so, Now, you have 5 - 1 = 4 liter in 5 liter bucket.

You Got that!! Congrats!! If You 're thirsty by that hard work, then you can drink that water, if it is clean!! :)

Hope this helps!

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A line passes through (0, –7) and has a slope of -2/3. What is the equation of the line in slope-intercept form

babunello [35]

Answer:

the required equation is y = ( -2/3 )x -7

Step-by-step explanation:

Given :- 

the line passes through the point ( 0 , -7 )

)and slope of the line is ( -2/3 )

• To form an equation when one point and it's slope is given ,

• To form an equation when one point and it's slope is given , we use ;

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variables

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variablesand x1 and y1 are the points where the line meet !

• To form an equation when one point and it's slope is given , we use ;( y - y1 ) = m ( x - x1 )Where , x and y are variablesand x1 and y1 are the points where the line meet ! and m is slope of the tangent !!

y1 = -7

x1 = 0

So, putting all the values in the equation we get ,

$(y - ( - 7)) = \frac{( -2 )}{3} (x - 0) \\ \\ y + 7 = \frac{ - 2}{3} x \\ \\ 3y + 21 = - 2x \\ \\ 3y = - 2x - 21$

$3y = - 21 - 2x \\ \\ y = \frac{ - 2}{3} x - \frac{21}{3 } \\ \\ y = \frac{ - 2}{3} x - 7$

• Slope intercept form of the equation

• Slope intercept form of the equation y = mx + c

• Slope intercept form of the equation y = mx + c Where , m is slope of the line

• Slope intercept form of the equation y = mx + c Where , m is slope of the line and c is y intercept !!

[ also , we can directly put the value of c = -7 and m = ( -2/3 ) from given ]

Hence , here m = (-2/3 ) and c = -7

So, the required equation is y = ( -2/3 )x -7

5 0

3 years ago

What is 49,892 divided by 0.89

Savatey [412]

Answer: 56,058.42696629213‬

6 0

3 years ago

A university surveyed recent graduates of the English department for their starting salaries. Four hundred graduates returned th

NeX [460]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean salary of all graduates from the English department.

Number of sample, n = 400

Mean, u = $25,000

Standard deviation, s = $2,500

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z × standard deviation/√n

It becomes

25000 ± 1.96 × 2500/√400

= 25000 ± 1.96 × 125

= 25000 ± 245

The lower end of the confidence interval is 25000 - 245 =24755

The upper end of the confidence interval is 25000 + 245 = 25245

Therefore, with 95% confidence interval, the mean salary of all graduates from the English department is between $24755 and $25245

3 0

4 years ago

Help please, will give lots of points!

Troyanec [42]

Step-by-step explanation:

roots as exponents are fractions

if there is no root number next to the radical sign its assumed that its 1/2

3√2 is 2^(1/3)

√3 is 3^(1/2)

4√3 is 3^(1/4)

5√2 is 2^(1/5)

8 0

2 years ago

What id 2756 divided by 53

Marina CMI [18]

52 (if id means is and not imaginary number)

5 0

3 years ago

Read 2 more answers