Modular arithmetic is used to find the remainder when dividing the first number by the second number you can divide the term then multiply the (or use the mod function of a graphing calculator with the first term first in the ordered pair and the second in the second term.
-17/2 = 8.5 2*.5 =1
a. 1
-144/7 = -20 5/7 . 4/7 *7 = 4
b. 4
-101/13 =
c. 3
199/19=
d.9
<span>If we were to put this in terms of a venn diagram, we would have 360 owning only brand X, 500 owning only brand Y, and 80 in between, owning both. Therefore, 80 out of the 580 owners of brand Y may have X as well, which we put into fraction form 80/580, and reduce to 4/29.
The answer is the fourth choice 4/29.
I hope my answer has come to your help. God bless and have a nice day ahead!
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Answer:
Step-by-step explanation:
The equation of line in the form .
y = mx + c
Where m is the slope and c is the y- intercept .
As given
The lines y=3x-1 and y=ax+2 are perpendicular .
Here 3 is slope for equation of line y=3x-1 and a is slope for equation of line
y=ax+2 .
Now by using properties of the perpendicular lines property .
When two lines are perpendicular than slope of one line is negative reciprocal of the other line .
Thus
Therefore
Answer:
Option (3) is correct.
side length of square is (3x + 13 ) units.
Step-by-step explanation:
For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side
Given square has perimeter = 12x + 52
Comparing both sides,
4 × side = 12 x + 52
⇒ Side = 
⇒ Side = 
⇒ Side = 3x + 13
Thus, side length of square is (3x + 13 ) units.
Thus, option (3) is correct.
Let us say that the procedure of completely filling up the
pool with water is called “1 job”. Therefore the rates of the equipment in
doing the job would be:
<span>Rate of handheld hose = 1 job / 8 minutes ---> 1</span>
<span>Rate of lawn sprinkler = r --->
2</span>
<span>Rate of the two combines = 1 job/ 5 minutes ---> 3</span>
So we are to find the equation to use, in this case, we
simply have to add equations 1 and 2 to get 3:
1 / 8 + r = 1 / 5
Multiplying both sides by 5:
<span>(5 / 8) + 5 r = 1 --->
ANSWER</span>
