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Answer:
Option C.
Step-by-step explanation:
A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:
Slope of perpendicular line = -3/2.
Remember, the equation for solving for the slope is:
We must find points that when plugged into this equation, equal to -3/2.
Plugging in the points in option A:
Option B:
Option C: This is the correct answer.
Option D:
Bob cannot distribute the cups in six equal stacks and not have any left over.
Step-by-step explanation:
In order to divide the total number of cups in six equal stacks with no left over, the total number of cups will be divided by 6, if there is any remainder then the cups cannot be equally divided with no left over.
So
Dividing 64 by 6
Here
Quotient = 10
Remainder = 4
As there are 4 cups left, Bob cannot distribute the cups in six equal stacks and not have any left over.
Keywords: Division, fractions
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Answer:
Number of pens and pencils sold are 490 and 510 respectively.
Step-by-step explanation:
Let, number of pens = x and the number of pencils = y.
It is given that,
Cost of one pen = 10 cents = 0.1 dollar
Cost of one pencil = 5 cents = 0.05 dollar
As, the total number of writing utensils sold are 100. So, we have,
Also, the total sales is $74.50 gives,
Thus, the system of equations is,
x + y = 1000 .................................... (1)
0.1x + 0.05y = 74.50 .....................(2)
Multiply (1) by 0.1 and subtract both the equations, we get,
0.05y = 25.5 i.e. y= 510
So, x= 1000- 510 i.e. x= 490.
So, the number of pens and pencils sold are 490 and 510 respectively.