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umka21 [38]
3 years ago
6

Write a formula showing the dependence of the mass of a piece of cork on its volume, if the density of cork is 0.18g/cm3. Using

the formula, find the volume of a piece of cork with a mass of 64.8g
Mathematics
2 answers:
Lena [83]3 years ago
8 0
We have: 64.8/0.18 = 360
If 0.18g=1cm3 Then 64.8g=360cm3
Rzqust [24]3 years ago
7 0

Answer: The volume of cork will be  360cm^3

Explanation:

Density is defined as the mass contained per unit volume.

Density=\frac{mass}{Volume}

Given : Mass of cork = 64.8 grams

Density of cork = 0.18g/cm^3

Putting in the values we get:

0.18g/cm^3=\frac{64.8g}{Volume}

volume of cork = 360cm^3

Thus the volume of cork is 360cm^3

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Please help me with this
satela [25.4K]
Area of the trapezoid:
\frac{12.8 + 4.2}{2} (4.9) = 41.65 cm^2

Area of the rectangle:
4.2 x 3.1 = 13.02 cm^2

Area of each quarter circle:
\frac{ \pi  (3.1)^{2} }{4} = 7.54 cm^2

We have two quarter circles:
7.54 + 7.54 = 15.08

41.65 + 13.02 + 15.08 = 69.75 cm^2
5 0
3 years ago
If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20
butalik [34]
<h2>Answer:</h2>10.\text{ Option B is correct}

<h2>Explanation:</h2>

Given the equation expressed as:

2x+5=8x

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}

Step 3: Subtract 8x from both sides

\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}

Step 4: Divide both sides by -6

\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}

Therefore the value of 12x is 10

3 0
1 year ago
Which letter has two lines of symmetry? Y S M X<br> plzz help due tomorrow
Neporo4naja [7]

Answer:

X

Step-by-step explanation:

one is going vertical and the the other is horizontal

4 0
3 years ago
Read 2 more answers
Cool Scoops ice cream shop offers 60 different one-topping sundaes. If there are 5 flavors of ice cream, how many toppings are t
Alja [10]
How you would solve this problem is: 

60 divided by 5 = 12 

So there will be 12 toppings. 
3 0
3 years ago
Read 2 more answers
A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o
kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0
3 years ago
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