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3 years ago

How do you compute fractions

1 answer:

6 0

<span>Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators), put the answer over the denominator.<span>
Step 3: Simplify the fraction (if needed)</span></span>

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Bailey company purchased a new delivery truck for $35,000. the sales tax was $2,000. the logo of the company was painted on the

iragen [17]

To find the cost of the truck, you will need to add all the expenses that incurred in addition to the actual cost of the truck.

35000 + 2000 + 1200 + 120 + 220 = 38540

The cost including expenses should be recorded as $38540.

7 0

3 years ago

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

Write an equation in slope intercept form for the line that passes through 3,4 and is parallel to y=-2x-2

kow [346]

Y = -2x - 2. Slope here is -2. A parallel line will have the same slope.

y = mx + b
slope(m) = -2
(3,4)...x = 3 and y = 4
now we sub and find b, the y int
4 = -2(3) + b
4 = - 6 + b
4 + 6 = b
10 = b

so ur parallel equation is : y = -2x + 10

4 0

3 years ago

A firm has a debt to asset ratio of 75%, $264,000 in debt, and net income of $49,280. calculate return on equity

svlad2 [7]

Asset = 264,000 / 0.75 = $352,000
Shareholders equity = $352,000 - $264,000 = 88,000

Return on equity = 49,280 / 88,000 x 100% = 56%

3 0

3 years ago

Sonia earned $2,100 at her uncle's orchard. If she worked for 70 weeks and earned the same amount of money each week, how much d

Drupady [299]

Answer:

Step-by-step explanation:

She earned 30$ a week(Brainlyest?)