Answer:
Step-by-step explanation:
First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)
I took away the one third I divided from it (46.50-15.50=31)
I got 31 dollars as my final answer.
Now Karim needs to buy the shirt for $31.
128 ÷3=42.66
it doesn't say if they have to pay the money back but if they do it's
128-35= 43
43÷3= 14.33
Answer:
339.12 cubic millimeters
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The volume of the figure is equal to the volume of the two hemispheres (one sphere) plus the volume of the cylinder
so
step 1
Find the volume of the cylinder
The volume is given by

where
B is the area of the base of cylinder
h is the height of cylinder
we have

we have

----> the radius is half the diameter


substitute

step 2
Find the volume of the sphere
The volume is given by

we have
----> the radius is half the diameter
substitute

step 3
Adds the volumes

Answer:
<em>P=760</em>
Step-by-step explanation:
Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.
Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).
This shape has sides that are parallel to both axes.
To calculate the perimeter we find the length of two sides.
The distance from A to B is the difference between their y-axis:
w=112-(-3)=115
The distance from A to C is the difference between their x-axis:
l=2-(-212)=215
It's evident this is not a square but a rectangle. The perimeter is
P=2w+2l=330+430
P=760
Since x=-3y+5, substitute x for -3y+5.
2(-3y+5)+8y=4
Distribute.
-6y+10+8y= 4
2y+10= 4
Subtract 10 on both sides.
2y=-6
Divide by 2.
y=-3
Plug in y=-3.
x=-3(-3)+5
x= 9+5
x=14
(14,-3)
We can check this.
2(14)+8(-3)=4
28-24=4
4=4 <== this works
I hope this helps!
~kaikers