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3 years ago

How to get 5% of 100?

Mathematics

2 answers:

Flauer [41]3 years ago

4 0

Answer:

Step-by-step explanation:

If you want to do this with multiplication,

then 5% of 100 is 0.05 x 100 = 5

or you can think of 10% of 100 is 10, and then half it, it is 5

gtnhenbr [62]3 years ago

4 0

Answer:

100/5 = 20

so 20 is 5% of 100

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You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3

Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

$h=\frac{504}{lw}$

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides $C_{s}$ = 3[2(l + w)h] = 6(l + w)h

$C_{s}$ = 3[2(l + w)h]

$C_{s}=6(l+w)(\frac{504}{lw} )$

Cost of the top and the bottom $C_{(t,p)}$ = 4(2lw) = 8lw

Total cost of the box C = $3024\frac{(l+w)}{lw}$ + 8lw

= $3024[\frac{1}{l}+\frac{1}{w}]$ + 8lw

To minimize the cost of the sides

$\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0$

$\frac{3024}{l^{2}}=8w$

$\frac{378}{l^{2}}=w$ ---------(1)

$\frac{dC}{dw}=3024(-w^{-2})+8l=0$

$\frac{3024}{w^{2}}=8l$

$\frac{378}{w^{2}}=l$

$w^{2}=\frac{378}{l}$ -------(2)

Now place the value of w from equation (1) to equation (2)

$(\frac{378}{l^{2}})^{2}=\frac{378}{l}$

$\frac{(378)^{2} }{l^{4}}=\frac{378}{l}$

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

$w^{2}=\frac{378}{7.23}$

$w^{2}=52.28$

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

$h=\frac{504}{(7.23)^{2}}$

h = 9.64 cm

6 0

3 years ago

Pleaseeee helppp meee!!!!

AleksandrR [38]

7=3(5+x). 7 represents the pay altogether. 3 represents the total number of people. 5 represents the price of a ticket +x which represents the coupon

7 0

2 years ago

Your housing and fixed expenses are $685.70/month. If they are 33% of your realized income, how much is your realized income per

galben [10]

$685.70÷33%=$2,077.88
A

4 0

3 years ago

Read 2 more answers

Some find slope please?

Andre45 [30]

Answer:

3/4

Step-by-step explanation:

Use slope formula y2-y1 over x2-x1

9-3=6

5--3 becomes 5+3 which equals 8

so 6/8

which when simplified is 3/4.

4 0

3 years ago

If a triangle has side lengths 7, 10, and 12, is it a right triangle??

Vesnalui [34]

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, $a^2 + b^2 = c^2$

where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, $7^2 + b^2 = 12^2$ or $10^2 + b^2 = 12^2$

$7^2 + b^2 = 12^2$ ==> 49 + b^2 = 144 ==> b= $\sqrt{95$ ==> 9.746

b= 9.7, not 10.

$10^2 + b^2 = 12^2$ ==> 100 + b^2 = 144 ==> b = $\sqrt{44$ ==> 6.633 

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

5 0

3 years ago