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blondinia [14]
3 years ago
10

Jonah has a large collection of marbles he notices that if he borrows five marbles from a from a friend he can arrange the marbl

es in rows of 13 inch what is the remainder when he divides original number of marbles by 13
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
5 0

Answer:

The remainder is 8

Step-by-step explanation:

Let Jonah's Marble=x

If he arranges x marbles into y rows of 13 each, and there are remainders(R)

Then:

x/13=y+(R/13).....(I)

If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1

New Total Marbles=x+5

(x+5)/13=y+1.....(ii)

x+5=13(y+1)

x=13y+13-5

x=13y+8

From (I)

x=13y+R

Comparing the values of x derived from (I) and (ii)

13y+R=13y+8

Therefore the Remainder, R= 8

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Answer:

<u>110.000</u>

<u></u>

Step-by-step explanation:

Selling at a loss of 5% means it was sold for 95% of its purchase value.

If 120.175 equals to 95% then 100%(the purchase value) is 126.500.

120.175/95*100 = 126.500 (plenty of other ways to calculate this, but this is one of the easiest)

So now we change to the dealer's perspective, he sold the car for 126.500 and for him that meant a 15% profit. If the purchase value is 100%, then the sale value is 115% (purchase value+15% profit)

Calculate the purchase value:

126.500/115*100 = 110.000

The dealer bought the car for 110.000, sold it for 126.500, so he made a profit of 16.500 (126.500-110.000) which is a 15% profit (15% of 110.000 is 16.500).

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2 years ago
Write the slope-intercept form of the equation of each line
navik [9.2K]

Answer: y= 3x-1

Step-by-step explanation:

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m =

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x2-x1

m =

2--1

1-0

m =

3

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m = 3

Now putting value of m in equation (i)

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Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-1) for calculating y-intercept:

y = mx + b

-1 = 3(0) + b

-1 = 0 + b

-1 = b

b = -1

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