let
x----------> number of square jam sandwiches of Ken in the
side x of rectangle
y---------> number of square jam sandwiches of Ken in
the side y of rectangle
A1-------------> total number of square jam sandwiches of
Ken
A2-------------> total number of square jam sandwiches of Sara
we know that
A1=xy
A2=[(x+2)(y+2)-xy]
A1=A2
xy=[(x+2)(y+2)]-xy------------
> xy=xy+2x+2y+4-xy
xy-2y=2x+4-------- > y=[2x+4]/[x-2]
testing different values of x to get a pair of whole numbers-->
see the table attached I find 2 solutions
<span>1) x=3 and y=10
</span>A1=3*10=30
A2=30<span>
total number of sandwiches of Ken------ > 30
</span>total number of sandwiches of Sara------ > 30
<span>
2) <span>x=4 and y=6
</span></span>A1=4*6=24
A2=24<span>
total number of sandwiches of Ken------ > 24
</span><span>total number of sandwiches of Sara------ >24</span>
Answer:
= 8
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio
Here a = 8 and r = - 24 ÷ 8 = - 3, thus
= 8
-7x+14y=-14
-3x+7y=-3
when using elimination you need to multiply or divide one equation to be able to “eliminate” a variable.
-7x+14y=-14
-2(-3x+7y=-13)
multiply the second equation by -2
-7x+14y=-14
6x-14y=6
simplify
-1x=-8
divide by -1 on both sides to isolate the x
x=8
now you can plug in 8 for x in one of the equations.
-3(8)+7y=-3
simplify
-24+7y=-3
add -24 to both sides the isolate the constant and variable
7y=21
now divide by 7 on both sides to isolate y
y=3
this system of equation had one solution at (8, 3)
i hope this helps :)
Answer:
When I calculated this I got: 4.2857142857143 but I don't know if that's the correct answer.
Step-by-step explanation:
Answer:
[1 , +∞)
Step-by-step explanation:
Solving the inequality 6x ≥ 6
6x ≥ 6
⇔ x ≥ 1 (Divide both sides by 6)
⇔ x ∈ [1 , +∞)