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s344n2d4d5 [400]

3 years ago

5

Item 5 Write 77.5% as a fraction or mixed number in simplest form.

1 answer:

jeyben [28]3 years ago

5 0

<span>77.5% can also be written as 77.5/100, but if you're the mathematical notation police, people don't like decimals on a fraction, sooo, an equivalent form is: </span>

<span>
= (77.5)/(100) * (2/2)
= 155/200
= 31/40
= 0 31/40 </span>

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A carpenter wants to build a rectangular box with square sides in which to put round things. the material for the bottom costs $

alexira [117]

Answer: $1.627\times 1.627\times 1.88\ ft^3$

Step-by-step explanation:

Given

Suppose side face have a dimension of l\times l

and width of h

volume $V=l^2\cdot h$

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

volume $V=5 ft^3$

Area of side wall is $A_s=l^2$

Area of top Wall $A_t=l\times h$

Area of bottom $A_b=l\times h$

Cost of bottom wall $c_b=20\times l\times h=20lh$

Cost of top wall $c_t=50\times l\times h=50lh$

Cost of side walls $c_s=4\times l^2\times 10=40l^2$

total cost $C=c_s+c_t+c_b=20lh+50lh+40l^2$

$C=70lh+40l^2$

$C=70\times l\times \frac{5}{l^2}+40l^2$

differentiate C w.r.t l to get minima or maxima

$\frac{\mathrm{d} C}{\mathrm{d} l}=0$

$-\frac{350}{l}+80l^2=0$

$l^3=\frac{350}{80}$

$l=1.627 ft$

$h=\frac{5}{2.648}$

$h=1.88 ft$

Dimension of Box is $1.627\times 1.627\times 1.88\ ft^3$

5 0

3 years ago

-8x+114=11x+10-11x what's the answer

gtnhenbr [62]

The answer is x=13

I hope this helps!
Ask me for the work!

4 0

3 years ago

NEED HELP ASAP!!!

lys-0071 [83]

Answer:

3 and 4: B

Step-by-step explanation:

As per the property of traversal lines, when two parallel lines are cut by traversal then the corresponding angles formed are equal.

In given case ∠6 is corresponding angle of ∠8 and ∠8 is corresponding to ∠18.

Hence option B is correct for 3 and statements!

If lines are ||, corresponding angles are equal.

8 0

3 years ago

What point is a solution?

vladimir1956 [14]

(3,2) is the solution

7 0

3 years ago

Read 2 more answers

Find the nth term of each of the sequences.<br> (a) 16, 19, 22, 25, 28, ...<br> (b) 1,3,9,27,81,...

juin [17]

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

<h3>Explanation:</h3>

a) Add 3 on every number.

b) Multiply every number by 3.

6 0

3 years ago