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iren [92.7K]
3 years ago
14

A solid aluminum cube has sides each of length L . A second cube of the same material has sides four times the length of the fir

st cube; i.e., 4 L . Compared to the first cube, the total surface area of the second cube is
Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

Compared to the first cube, the total surface are of the second cube is 16 times larger.

Step-by-step explanation:

The first cube has L*L*6=6L²

The second cube has 4L*4L*6=14L²*6=84L²

Compared to the first cube, the total surface are of the second cube is 16 times larger.  (6*16=84)

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Which definition represents positive numbers and negative numbers in terms of positive numbers?
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Answer:

D: Positive numbers are greater than or equal to zero. For every positive number, there is a negative number that is its opposite.

Step-by-step explanation:

4 0
3 years ago
Dan buys a package of 12 cans of lemonade for $3.72. What is the unit price per can?
stiv31 [10]

Answer:

$0.31

Step-by-step explanation:

Unit price is measured by dividing the price by the amount of an item, so 3.72/12 = 0.31

8 0
3 years ago
Read 2 more answers
One-fourth of the cars that an automobile manufacturer produces are sports cars, and the rest are sedans. If one-fifth of the ca
Mashcka [7]

Answer:

Step-by-step explanation:

Let's base this on 100%, or 100 cars, which is 100% of the cars.  If 1/4 of the 100 cars are sports cars, then we have

25 sports cars and

75 sedans

If 1/5 of the total cars are red, 20 of the 100 cars are red (since 1/5 is 20).  

If 1/3 of the sports cars, of which we have 25, are red, then 25/3 of the sports cars are red.  

Since we have 20 total red cars and 25/3 of them are sports cars, then the rest of them must be red sedans:

Total red cars - red sports cars = red sedans

20-(\frac{1}{3}*25) which simplifies to

20-\frac{25}{3}=\frac{60}{3}-\frac{25}{3}=\frac{35}{3}

7 0
3 years ago
5(x+4)+10-2x+3(2x+9)
qwelly [4]

Answer:

x = (-19)/3

Step-by-step explanation:

Solve for x:

10 - 2 x + 5 (x + 4) + 3 (2 x + 9) = 0

5 (x + 4) = 5 x + 20:

10 - 2 x + 5 x + 20 + 3 (2 x + 9) = 0

3 (2 x + 9) = 6 x + 27:

6 x + 27 + 5 x - 2 x + 10 + 20 = 0

Grouping like terms, 6 x + 5 x - 2 x + 10 + 20 + 27 = (-2 x + 5 x + 6 x) + (10 + 20 + 27):

(-2 x + 5 x + 6 x) + (10 + 20 + 27) = 0

-2 x + 5 x + 6 x = 9 x:

9 x + (10 + 20 + 27) = 0

10 + 20 + 27 = 57:

9 x + 57 = 0

Subtract 57 from both sides:

9 x + (57 - 57) = -57

57 - 57 = 0:

9 x = -57

Divide both sides of 9 x = -57 by 9:

(9 x)/9 = (-57)/9

9/9 = 1:

x = (-57)/9

The gcd of 57 and 9 is 3, so (-57)/9 = (-(3×19))/(3×3) = 3/3×(-19)/3 = (-19)/3:

Answer: x = (-19)/3

4 0
4 years ago
PLEASE HELP ILL GIVE BRAINLIEST!!
dlinn [17]

Answer:

Step-by-step explanation:

Radius r = 12.5/2 = 6.25 cm

Height h = 7 cm

volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm

7 0
3 years ago
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