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3 years ago

Find the missing value in the equivalent ratio 18:27=

Mathematics

1 answer:

goblinko [34]3 years ago

6 0

Answer:

18:27 can be reduced to 6:9 can be reduced again to 2:3.

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From a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper. T

levacccp [35]

Answer:

Max vol = 2 cubic metres

Step-by-step explanation:

Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.

Side of the square = 3m

If squares are to be cut from the corners of the cardboard we have the dimensions of the box as

3-2x, 3-2x and x.

Hence x can never be greater than or equal to 1.5

V(x) = Volume = $V(x) = x(3-2x)^2\\= 9x+4x^3-12x^2$

We use derivative test to find the maxima

$V'(x) = 9+12x^2-24x\\V"(x) = 24x-24\\$

Equate I derivative to 0

$9+12x^2-24x=0\\x=1/2,3/2$

If x= 3/2 box will have 0 volume

So this is ignored

V"(1/2) <0

So maximum when x =1/2

Maximum volume

= $9(1/2)+4(1/2)^3-12(1/2)^2\\=2$ cubic metres

6 0

3 years ago

A bakery sold 208 pounds of bread last week. This is about 5 times as many pounds as were sold this week. About how many pounds

FrozenT [24]

Answer:

41.6 pounds

Step-by-step explanation:

x to represent the pounds of bread sold this week

208 = 5x

x = 208/5

x = 41.6

41.6 Pounds of bread were sold this week.

4 0

3 years ago

Read 2 more answers

What is x if <br><img src="https://tex.z-dn.net/?f=xxx%20%2B%203358%20%3D%20461267" id="TexFormula1" title="xxx + 3358 = 461267"

lara [203]

Answer:

457,909

Step-by-step explanation:

-3358 from 461,267 and it gaves you 457,909

so 457,909 + 3358 = 461,267

7 0

2 years ago

Read 2 more answers

Can anyone answer this pls!!!!!!!!!!

gizmo_the_mogwai [7]

u₁₂ represents the amount of loan remaining after 12 years

<h3>How to interpret u₁₂?</h3>

The function is given as:

u₀ = 8000

$u_n = u_{n-1}(1 + 0.054) - 500$

Given that the subscript n in $u_n$ represents number of years and $u_n$ represents the amount left to be paid after n years.

We can conclude that:

u₁₂ represents the amount of loan remaining after 12 years

Read more about loan at
brainly.com/question/26011426

#SPJ1

6 0

2 years ago

Find the geometric proof

GrogVix [38]

Answer:

See Explanation

Step-by-step explanation:

Line l is bisector of MO... (given)

$\therefore MN = NO.... (1)$

$\because MN + NO = MO..(M-N-O)$

$\therefore NO + NO = MO..[From \:(1)]$

$\therefore 2NO = MO$

$\therefore NO = \frac{1}{2} MO$

$\therefore NO = \frac{1}{2}\times 24..(\because MO=24)$

$\therefore NO =12$

Thus Proved

6 0

3 years ago

Read 2 more answers