P=number of pens
h=number of highlighters
p+h=8
1.09h+0.69p=752
p+h=8
minus h from both sides
p=8-h
sub that for p
1.09h+0.69(8-h)=7.52
1.09h+5.52-0.69h=7.52
0.4h+5.52=7.52
minus 5.52 from both sides
0.4h=2
divide both sides by 0.4
h=5
sub back
h=8-p
5=8-p
minus 8 frm both sides
-3=-p
mltiply both sides by -1
3=p
3 pens you bought
Answer:
x<2 is your answer
Step-by-step explanation:
-2x+4>-4x+8
subtract each term by 8
-2x+4-8>-4x+8-8
add both side by 2x
-2x+2x-4>-4x+2x
-4>-2x
dividing both term by -2
-2x/-2<-4/-2
x<2
Answer:
cant see the image
Step-by-step explanation:
edit your question and post the image
Answer:
27 stalls
Step-by-step explanation:
111 / 4 = 27.75
So he can fill at most 27 stalls completely
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
- Volume of Cylinder = πr²h
- Volume of Sphere = 4/3πr³
Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
brainly.com/question/64165
