Find the largest positive integer that will divide 398, 436 and 542 leaving remainder 7, 11 and 15 respectively.

Mathematics

2 answers:

marin [14]3 years ago

8 0

Required number is 17.

<h3>Justification:</h3>

<u>We need to find the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively</u>.

Hence, we need to find the HCF of 3 numbers (398-7), (436-11) and (542-15).

Hence,

398 - 7 = 391
436 - 11 = 425
542 - 15 = 527

Now, you can find the HCF(391, 425, 527) = 17

<u>Hence, the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively is 17</u>.

s344n2d4d5 [400]3 years ago

4 0

Answer:

Step-by-step explanation:

398-7 =391

436-11 =425

542 -15=527

Find their G.C.D which is 17

Answer =17

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Luda [366]

Solution:

The description about the graph is:

Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.

Part A: The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.

If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.

Equation of line passing through two points, $(x_{1},y_{1}),(x_{2},y_{2})is, \frac{y-y_{1} }{x-x_{1} } = \frac({y_{2} - y_{1}})({x_{2}-x{1} })$

Equation of line passing through (12.5,6) and (15,4) is given by

$\frac{y-6}{x-12.5} = \frac{6-4}{12.5-15}$

$2x-25=-2.5+15$

$2x+2.5y=40$

$20x+25y= 400$

$4x+5y=80$

Part B: Description of line of best fit

A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.

5 y= - 4 x +80

$y=\frac{-4x}{5}+16$