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worty [1.4K]
3 years ago
15

Each dimension of a cube has been increased to twice its original size. If a new cube has a volume of 64000 cubic centimetres wh

at is the area one face of the original cube
Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0

Answer:

400 cm²

Step-by-step explanation:

The new volume = 64,000 cm³

New length = (new volume)⅓ = (64,000)⅓ = 40cm

Old length = 40 cm ÷ 2 = 20 cm

Area = length² = 20² = 400 cm²

marin [14]3 years ago
4 0

Answer:

400 cm²

Step-by-step explanation:

(side2/side1)³ = Volume2/Volume

2³ = 64000/X

X = 64000/8

X = 8000

Volume = side³

8000 = side³

Each side = 20

Area of a face = side²

= 20² = 400 cm²

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Ad libitum [116K]

Answer:

Brand A = $0.19 per pencil

Brand B = $0.18 per pencil

Better Buy = Brand B (costs less)

Step-by-step explanation:

To find unit price for each, we divide the total with the number of pencils.

So, <u>Brand A:</u>

5.29/28 = $0.19 per pencil

And, <u>Brand B:</u>

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6 0
3 years ago
PLEASE I REALLY NEED HELP ON THIS​
saul85 [17]
Answer:
a) a= (3/4)t
4a = 3t
b = (5/2)t
2b = 5t
b)See explanation below
c) It will take 30.075 hours for the whole business to make at least $500 profit
Step-by-step explanation:
a) First we would represent the information given in terms of amount of bracelet produced and time spent in production with variables in order to convert to linear equations
Let number of bracelet Darrelle makes = a
Number of bracelet Danica makes = b
Let the time spent in producing them in hours = t
Darrelle takes 4 hours to make 3 bracelets:
Rate of producing bracelet = (number of bracelet produced)/time
Rate = a/t = 3/4
4a = 3t
Linear equation form: y = mx + c
a= (3/4)t
The above equation is in the slope-intercept form indicating the intercept = 0 and slope = 3/4
4a - 3t = 0 (equation in standard form )
Danica makes 5 bracelets every 2 hours:
Rate of producing bracelet = (number of bracelet produced)/time
Rate = b/t = 5/2
2b = 5t
Linear equation form: y = mx + c
b = (5/2)t
The above equation is in the slope-intercept form indicating the intercept = 0 and slope = 5/2
2b - 5t = 0 (equation in standard form)
b) The equations are linear equations, hence they can be graphed.
But as regards graphing using special functions, this answer can only be answered by you as I'm not aware of the special functions discussed in the course.
c) Darrelle makes $10.50 in profit per bracelet.
Danica makes $3.50 in profit per bracelet
Since Darrelle and Danica work the same amount of time, we have to find the relationship between their profit, the number of bracelets produced and the time.
Profit for Darrelle for 'a' number of bracelet product = $10.50 × a = $10.50a
Profit for Danica per 'b' number of bracelet product = $3.50 × b = $3.50b
Let P = total profit made by both
P = $10.50a + $3.50b
Relationship of profit in terms of time spent in production when they work same amount of time:
P = $10.50(3/4 ×t)+ $3.50(5/2 × t)
P = 16.625t
When P = $500, t = ?
500 = 10.50(3/4 ×t)+ 3.50(5/2 × t)
500 = 7.875t + 8.75t
500 = 16.625t
t = 30.075 hours
It will take 30.075 hours for the whole business to make at least $500 profit
7 0
3 years ago
Find the volume of a cylinder that has the following dimensions. Do not round your answer. (Use 3.14 for π.)
denpristay [2]
Ok this is easy so since the formula for a cylinder is pie(r to the 2nd power) times h it’s like this——-

3.14(5 to the 2nd power) 0.25
3.14(25)0.25
78.5(0.25)
=19.625
4 0
3 years ago
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