Answer:
Step-by-step explanation:
Total marbles in bag= 55
Given that
The number of green marbles is 7 more than 5 times the number of blue marbles.
Let green marble be x
And blue marble be y
Therefore,
Green=seven more than 5 times blue
Green=7+5timesblue
x=7+5y. Equation 1
Also the sum of the marbles is 55
x+y=55. Equation 2
Substitute equation 1 into 2
7+5y+y=55
7+6y=55
6y=55-7
6y=48
y=48/6
y=8
From equation 2
x+y=55
Then, x=55-y
x=55-8
x=47
Then, green marbles is 47.
Also, Blue marbles is 8
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
its a semiregular polyhedron and it is an octagonal prism
Step-by-step explanation:
DOUBLE CHECK even tho im almost certain im correct pls double check bestie
The shape so formed is quadrilateral
Answer:
Step-by-step explanation:
C for sire thanks
