Answer:
33/20
Step-by-step explanation:
1/12 - 1/15 = 5/60 - 4/60 = 1/60
d = 1/60
a_n = a_1 + d(n - 1)
a_11 = 1/15 + (1/60)(11 - 1)
a_11 = 1/15 + 1/6
a_11 = 4/60 + 10/60
a_11 = 14/60
a_11 = 7/30
a_12 = 14/60 + 1/60
a_12 = 15/60
a_12 = 1/4
s_n = n(a_1 + a_n)/2
s_11 = 11(1/15 + 7/30)/2
s_11 = 11(2/30 + 7/30)/2
s_11 = 11(9/30)/2
s_11 = 99/60
s_11 = 33/20
Unfortunately, multiplying and dividing decimals this effect does not occur. In some cases, the decimal number even complicates the operatsii.Dlya beginning, we introduce a new definition. We will meet him very often, and not only in this part of uroke.Znachaschaya - is all that is between the first and the last non-zero digit, including the ends. It's only about numbers, the decimal point is not uchityvaetsya.Tsifry included in the meaningful part of the number, are called significant figures. They may be repeated or even be zero.
Hey there!!
- The area of a circle = πr²
The area is given as 196π
Hence,
196π = πr²
... r²= 196
... r = √196
... r = 14
<em>Hence, the radius is 14 cm. </em>
<em>Hope it helps!</em>
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula 
. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula 
and substitute the x and y values of the given points into it. Then, simplify to find the slope, or 
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula 
and substitute values for , 
, and 
. From there, we can convert the equation into slope-intercept form.
Since represents the slope, substitute 1 in its place. Since and represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
Answer:
Let p be the number of pencils.
3(14-p)=30+p
42-3p=30+p
4p=12, p=3.
So Peter ends up with 33 and Tony with 11. 3*11=33, so that confirms that Tony gave Peter 3 pencils.
