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Elis [28]
4 years ago
7

A recipe takes 90 minutes to make. 25 percent of the time is spent preparing the ingredients. How many minutes are spent prepari

ng...
Mathematics
2 answers:
Rzqust [24]4 years ago
5 0
22.5 minutes, or 22 minutes and 30 seconds. In order to find the answer, you would have to multiply 90 by 25%, which can be converted to 0.25 to make multiplying easier. Hope this helps!
Cerrena [4.2K]4 years ago
3 0

Answer

Find out the how many minutes are spent preparing.

To proof

As given

A recipe takes 90 minutes to make.

25 percent of the time is spent preparing the ingredients.

25% is written in the decimal form

= \frac{25}{100}

= 0.25

Time spent in preparing = 0.25 × 90

                                        = 22.5 minutes

Therefore the 22.5 minutes are spent preparing the ingredients.

Hence proved


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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
4 years ago
In math, the word dilate means to
Fynjy0 [20]

Answer: it means to make larger or smaller.

Step-by-step explanation:

it means to make larger or smaller.

7 0
3 years ago
Read 2 more answers
Help! im stuck on part B!
luda_lava [24]

Answer:

sjlsalllaalldjjsjjjaajldljD

Step-by-step explanation:SDK

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d

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4 0
3 years ago
Max bought 4 liters of fruit punch for a party.he will serve the punch in glasses that will hold 200 milliliters.how many full g
ss7ja [257]
Hello!
.
1 liter is equal to 1000 milliliter.
So,
4 L = 4000 mL
.
Max bought 4 liter or 4000 mL of fruit punch. To know how many glasses full of fruit punch can he serve, you just need to divide the amount of fruit punch he bought by the amount of fruit punch a glass can hold.
4 L / 200 mL
The dividend and the divisor have different unit so we must make them have the same unit.
4000 mL / 200 mL
= 20
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Therefore, Max can make 20 full glasses of fruit punch for the party.
:)
6 0
3 years ago
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Answer pls pls pls pls
Andru [333]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
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