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2 years ago

HELP ME EVERYONE PLZ

Mathematics

1 answer:

yawa3891 [41]2 years ago

7 0

Answer:

Option D. 23.4 pounds

Step-by-step explanation:

step 1

Find the pieces of glass for 22.5 pounds of copper in the sculpture.

using proportion

$\frac{12}{1}=\frac{x}{22.5} \\ \\x=22.5*12\\ \\x=270\ piece\ of\ glass$

step 2

Find the pounds of bronze used in the sculpture

using proportion

$\frac{6.5}{75}=\frac{x}{270} \\ \\x=270*6.5/75\\ \\x=23.4\ pounds$

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The area of a rectangle is 27ft squared, and the length of the rectangle is 3ft less than twice the width. Find the dimensions o

oksano4ka [1.4K]

Answer:

width =4.5ft

length=6ft

Step-by-step explanation:

w = x

L = 2x-3

area = L*w

27 = x(2x-3)

$27=2x^{2} -3x$

$2x^{2} -3x-27=0$

$2x^{2} +6x-9x-27=0$

2x(x+3)-9(x+3)=0

(2x-9)(x+3)=0

2x-9=0

2x=9

x=9/2

x=4.5

L=2x-3=2*4.5-3 =9-3=6

6 0

2 years ago

If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in

Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, of the box with a square base are described below:

$A_{s} = l^{2}+h\cdot l$ (1)

$V = l^{2}\cdot h$ (2)

Where:

$l$ - Side length of the base, in centimeters.

$h$ - Height of the box, in centimeters.

By (2), we clear $h$ within the formula:

$h = \frac{V}{l^{2}}$

And we apply in (1) and simplify the resulting expression:

$A_{s} = l^{2}+ \frac{V}{l}$

$A_{s}\cdot l = l^{3}+V$

$V = A_{s}\cdot l -l^{3}$ (3)

Then, we find the first and second derivatives of this expression:

$V' = A_{s}-3\cdot l^{2}$ (4)

$V'' = -6\cdot l$ (5)

If $V' = 0$ and $A_{s} = 30000\,cm^{2}$ , then we find the critical value of the side length of the base is:

$30000-3\cdot l^{2} = 0$

$3\cdot l^{2} = 30000$

$l = 100\,cm$

Then, we evaluate this result in the expression of the second derivative:

$V'' = -600$

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

$V = 30000\cdot l - l^{3}$

$V = 2000000\,cm^{3}$

The largest possible volume of the box is 2000000 cubic meters.

4 0

2 years ago

Can someone help me on d please

Delvig [45]

Answer:

Step-by-step explanation:

5 0

2 years ago

Please help I really need help.

Ipatiy [6.2K]

U need a protractor

8 0

2 years ago

Help? Please? This is algebra math

Over [174]

Answer:

You count the blocks and then put the amount of blocks before:)

(That sounds confusing but it sounds harder than it is)

The answer would be 3xy + 4x

Step-by-step explanation:

How many xy blocks are there? yea there's 3 so you do 3xy

you can't add xy and x blocks together because xy is a different unit than x (xy is x times y) so then you'd count the other x blocks seperately

(I'm sorry if I'm wrong on this lol)

7 0

2 years ago