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dlinn [17]
4 years ago
5

A rectangular prism has a volume of 16cm^3 and a total surface area of 40cm^2. A similar prism has length 10 in., width 5 in. an

d height 5 in. What are the dimensions of the original prism?
Length=_________
Width=_________
Height=_________
Mathematics
1 answer:
krok68 [10]4 years ago
5 0
The volume is twice that of the cube of width, so the width of the original prism is
.. ∛(16 cm³/2) = 2 cm

Length = 4 cm
Width = 2 cm
Height = 2 cm
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Working alone it takes Ryan 13.4 weeks to build a home.Jack can build the same home in 13.1 weeks how long would it take them if
dexar [7]

Answer: 6.62 weeks


Step-by-step explanation:

Time taken by Ryan to build a home = 13.4 weeks

Time taken by Jack to build the same home = 13.1 weeks

Let t be the time to complete a house if they work together, then

\frac{1}{t}=\frac{1}{t}= \frac{1}{\text{time taken by Ryan alone}}+\frac{1}{\text{time taken by Jack alone}}

=\frac{1}{13.4}+\frac{1}{13.1}\\\\=\frac{13.1+13.4}{175.54}\\\\=\frac{26.5}{175.54}

\\\Rightarrow\ t=\frac{175.54}{26.5}\\\Rightarrow\ t=6.62\ weeks

8 0
3 years ago
A)250cm =______ mm.<br>b)5000m = ____ km. <br>c) 200km =______cm.​
Liono4ka [1.6K]

Answer:

a = 2500mm

b = 5km

c = 2e+7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
On considère les deux expressions A et B. A=4(x+5)-8 B=x au carré+15. Avec x=1,puis avec x=3, je trouve le même résultat pour A
Ainat [17]

Explication étape par étape:

Compte tenu des expressions ';

A = 4 (x + 5) -8

B = x² + 15

Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3

à quand x = 1

A = 4 (1 + 5) -8

A = 4 (6) - 8

A = 24-8

A = 16

B = x² + 15

B = 1² + 15

B = 1 + 15

B = 16

Donc à quand x = 1, A = B = 16

quand x = 3

A = 4 (x + 5) -8

A = 4 (3 + 5) -8

A = 4 (8) - 8

A = 32-8

A = 24

B = 3² + 15

B = 9 + 15

B = 24

Également lorsque x = 3, A = B = 24

Cela montre que le postulat d'Emmas est juste.

5 0
3 years ago
One quarter has a mass of 5.67 grams. Which is the mass of two rolls of quarters each containing 40 quarters? how much is it?
Orlov [11]

Answer:

453.6 grams

Step-by-step explanation:

40 x 5.67 = 226.8

226.8 x 2 = 453.6

8 0
4 years ago
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Suppose that for a company manufacturing​ calculators, the​ cost, revenue, and profit equations are given by Start 1 By 3 Matrix
Nesterboy [21]

Answer:

  • Cost is Increasing at a rate of 20,000 per week
  • Revenue is decreasing at a rate of 100,000 per week
  • Profit is decreasing at a rate of 120,000 per week

Step-by-step explanation:

The cost, revenue, and profit equations for a company manufacturing​ calculators are given below:

  • Cost, C=90000+40x
  • Revenue, R=200x-\frac{x^2}{20}
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\frac{dx}{dt} =500\\ When  Production output x=4000

<u />

<u>Change in Cost</u>

Cost, C=90000+40x

\frac{dC}{dt} =40\frac{dx}{dt}=40*500\\\frac{dC}{dt}=20,000

<u>Change in Revenue</u>

\frac{dR}{dt} =200\frac{dx}{dt}-\frac{x}{10}\frac{dx}{dt}\\=200*500-\frac{4000}{10}*500\\\frac{dR}{dt} =-100,000

<u>Change in Profit</u>

\frac{dP}{dt} =\frac{dR}{dt}-\frac{dC}{dt}\\=-100,000-20,000\\\frac{dP}{dt}=-120,000

Therefore, when production output is 4000 and increasing at a rate of 500 calculators per week,

  • Cost is Increasing at a rate of 20,000 per week
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  • Profit is decreasing at a rate of 120,000 per week
5 0
3 years ago
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