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never [62]
3 years ago
7

Two bottles and their labels are mathematically similar.

Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:

The area of the larger label is 187.5 square centimeters.

Step-by-step explanation:

If the two bottles are mathematically similar, then the label area is directly proportional to the capacity of the bottle. If we know that a 0.512 L-bottle has a label area of 96 square centimeters, then the label area of a 1-L bottle is determined by this simple rule of three:

x = 96\,cm^{2}\times \frac{1\,L}{0.512\,L}

x = 187.5\,cm^{2}

The area of the larger label is 187.5 square centimeters.

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The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 95% p
enot [183]

Answer:

14 pints of 20% juice

56 pints of 95% juice

Step-by-step explanation:

Let

x be pints of 20% pure fruit juice, thus

70 - x   will be pints of 95% pure fruit juice

The equation, thus can be written as:

20%x + 95% (70-x) = 80% (70)

Solving for x:

(0.2)x + (0.95)(70-x) = (0.8)(70)\\0.2x+66.5-0.95x=56\\0.75x=10.5\\x=14

And 70 - x would be 70 - 14 = 56

Thus,

14 pints of 20% juice is needed, and

56 pints of 95% juice is needed

5 0
4 years ago
Read 2 more answers
What is the exact volume of the cylinder?
AURORKA [14]

Answer:

1178.25cm^3

Step-by-step explanation:

Volume of a cylinder is given as V = Pi x r^2 xh

PI= 3.142

R = 5cm

H=15cm

So volume = 3.142 x 5cm x 5cm x 15cm

= 1178.25cm^3

4 0
3 years ago
Nadya filled a right rectangular prism with cubes that are 1/2 inch long each edge. She stacked 80 cubes in the prism and filled
vovangra [49]

Answer

<h2>The volume of right rectangular prism 10 cubic inch.</h2>

Step-by-step explanation:

The volume of cube=a^{3}

each edge of cube=\frac{1}{2} inch

so,

the volume of cube=\left [ \frac{1}{2} \right ]^{^{3}}

one cube of  volume =\frac{1}{8} cubic inch.

80 cube of volume=80\times\frac{1}{8}=10 cubic inch

so the volume of rectangular prisme equal to volume of 80 cube.

7 0
3 years ago
Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary. Mary buys 17 extra sheep and Sam sells 8 of his sheep. Sam
vodomira [7]

Answer:

The least value of n is, 9.

Step-by-step explanation:

Let n be the number of sheep in Integer.

Mary(M) owned the number of sheep is n i.e, M = n sheep

Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep

As per the given condition Mary buys 17 extra sheep

Now, Mary has total number of sheep, M = n +17 sheep

And Sam sells 8 of his sheep that means he has now,

S = 4n -8

But, Sam still has more sheep than Mary i.e,  4n-8 > n+17

Solve an inequality: 4n-8 > n+17

Add 8 both sides we get;

4n-8+8>n+17+8

Simplify:

4n>n+25

Now, subtract n from both the side, we get;

4n -n>n+25-n

Simplify:

3n>25 or n>\frac{25}{3}=8.33333333

Since n is the number of sheep in integer,

then the least value of n is, 9.  



6 0
4 years ago
Read 2 more answers
Solve f(x) &gt;0 <br> F(x)= (x-1)(x+3)^2
ki77a [65]

AnSolve f(x) >0

F(x)= (x-1)(x+3)^2

Solve f(x) >0

F(x)= (x-1)(x+3)^2

Solve f(x) >0

F(x)= (x-1)(x+3)^2

Step-by-step explanation:

8 0
3 years ago
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