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3 years ago

4 1/5 of 8 2/10 is what number? (A) 1/2 (B) 21/41 (C) 861/25 (D) 21/82

Mathematics

2 answers:

Naya [18.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

Change the mixed numbers to improper fractions

4 $\frac{1}{5}$ = $\frac{21}{5}$

8 $\frac{2}{10}$ = 8 $\frac{1}{5}$ = $\frac{41}{5}$

Replace ' of ' by multiplication

= $\frac{21}{5}$ × $\frac{41}{5}$

= $\frac{21(41)}{5(5)}$ = $\frac{861}{25}$ → C

In-s [12.5K]3 years ago

4 0

Answer: i think it would be POSSIBLY C. or D.

Correction it is C

Step-by-step explanation:

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PLEASE HELP ASAP!!! (No links)

marta [7]

Answer:

No it is not a solution

Step-by-step explanation:

To solve this, you should replace your (x,y) with (8,3)- 8 being your x value and 3 being your y value.

So this inequality, your y value is supposed to be bigger than the value of whatever 3x-4 equals.

So, your inequality should be 3>3(8)-4

3*8=24-4=20

So is 3>(greater than)20? No. Which then means that (8,3) is not a solution because it would make the inequality not true.

Hope this helps!

6 0

2 years ago

A bin is constructed from sheet metal with a square base and 4 equal rectangular sides. if the bin is constructed from 48 square

kondaur [170]

This is a problem of maxima and minima using derivative.

In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:

V = length x width x height

That is:

$V = xxy = x^{2}y$

We also know that the bin is constructed from 48 square feet of sheet metal, so:

Surface area of the square base = $x^{2}$

Surface area of the rectangular sides = $4xy$

Therefore, the total area of the cube is:

$A = 48 ft^{2} = x^{2} + 4xy$

Isolating the variable y in terms of x:

$y = \frac{48- x^{2} }{4x}$

Substituting this value in V:

$V = x^{2}( \frac{48- x^{2} }{x}) = 48x- x^{3}$

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

$\frac{dv}{dx} = 48-3x^{2} =0$

Solving for x:

$x = \sqrt{\frac{48}{3}} = \sqrt{16} = 4$

Solving for y:

$y = \frac{48- 4^{2} }{(4)(4)} = 2$

Then, the dimensions of the largest volume of such a bin is:

Length = 4 ft
Width = 4 ft
Height = 2 ft

And its volume is:

$V = (4^{2} )(2) = 32 ft^{3}$

8 0

3 years ago

Given ∆ABC≅∆PQR, mb=8v-9 , find m 31° b. 52° c. 49° d. 32°

Ipatiy [6.2K]

Here, 5v+6 = 8v-9
8v - 5v = 6 + 9
3v = 15
v = 15/3
v = 5

So, m<b = 5(5) + 6 = 25 + 6 = 31
As they are congruent, m<q would be same [ 31 degree ]

In short, Your Answer would be Option A

Hope this helps!

3 0

3 years ago

How many gallons equal 26 liters

Serjik [45]

Answer:

6.8 gallions i believe. im not quite sure

8 0

3 years ago

What equation represents this sentence? 5 less than a number is 12. n−5=12 5=12−n 5=n−12 5−n=12

Lana71 [14]

Answer:

n-5=12

This is the answer

8 0

2 years ago