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Vikentia [17]
3 years ago
11

A shopkeeper bought some eggs at ¢15 each. Six of them were broken while the rest were sold at ¢20 each. If he made a profit of

$4.80, find how many eggs he bought.
Mathematics
1 answer:
zvonat [6]3 years ago
6 0
In the given problem it is already stated that the cost of each eggs is 15 cent. Out the total eggs bought 6 were broken. The rest of the eggs were sold for 20 cents each and the profit made was $4.80.
Cost of the 6 broken eggs = (6 * 0.15)
                                           = 0.9 cents
Let us assume that the number of eggs bought = x
Then we can write the equation as
0.2x - (0.15x - 0.9) = 4.80
0.2x - 0.15x + 0.9 = 4.80
0.05x = 4.80 - 0.9
0.05x = 3.9
x = 3.9/0.05
   = 78
So the number of eggs bought by him is 78
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Any help with an explanation would be appreciated!
Lilit [14]

Problem 1

We'll use the product rule to say

h(x) = f(x)*g(x)

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

Then plug in x = 2 and use the table to fill in the rest

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

h ' (2) = f ' (2)*g(2) + f(2)*g ' (2)

h ' (2) = 2*3 + 2*4

h ' (2) = 6 + 8

h ' (2) = 14

<h3>Answer: 14</h3>

============================================================

Problem 2

Now we'll use the quotient rule

h(x) = \frac{f(x)}{g(x)}\\\\h'(x) = \frac{f'(x)*g(x)-f(x)*g'(x)}{(g(x))^2}\\\\h'(2) = \frac{f'(2)*g(2)-f(2)*g'(2)}{(g(2))^2}\\\\h'(2) = \frac{2*3-2*4}{(3)^2}\\\\h'(2) = \frac{6-8}{9}\\\\h'(2) = -\frac{2}{9}\\\\

<h3>Answer:  -2/9</h3>

============================================================

Problem 3

Use the chain rule

h(x) = f(g(x))\\\\h'(x) = f'(g(x))*g'(x)\\\\h'(2) = f'(g(2))*g'(2)\\\\h'(2) = f'(3)*g'(2)\\\\h'(2) = 3*4\\\\h'(2) = 12\\\\

<h3>Answer:  12</h3>
5 0
2 years ago
A right rectangular prism is packed with cubes of side length 1 over 2 inches. If the prism is packed with 5 cubes along the len
Dmitry [639]

Answer:

<em>Answer: C.Fraction 11 and 1 over 4 cubic inches</em>

Step-by-step explanation:

The volume of a rectangular prism of length L, width W, and height H is given by:

V=LWH

The prism is packed with cubes of a side length of a=1/2 inch. The volume of each cube is:

V_c=a^3=\left(\frac{1}{2}\right)^3=\frac{1}{8}\ in^3

The prism is packed with L=5, W=3, and H=6, thus the volume (in cubes) is:

V=5*3*6=90\ cubes

Since each cube has a volume of \frac{1}{8} in^3:

V=90\cdot\frac{1}{8}=\frac{45}{4}

Expressing as a mixed fraction:

V=\frac{45}{4}=\frac{44+1}{4}=11\frac{1}{4}

Answer: C.Fraction 11 and 1 over 4 cubic inches

5 0
3 years ago
Please help me! ASAP!!!!!
Greeley [361]

Answer:

x=36

Step-by-step explanation:

17+3 =20

now we have :

x+4

___         = 20

  2

20*2= 40

x+4=40

x=36

hopes this helps

4 0
2 years ago
Can u help me find the Answer
den301095 [7]

-20x-16

= -4(5x + 4)

I think 4 ×-5 = -20x

4×-4 = -16x

7 0
3 years ago
Solve the equation.<br> 19 = 14 + k<br> k=
Iteru [2.4K]
Solve for k by simplifying both sides of the equation, then isolating the variable .

Answer - K=5

Hope this helps!
Have a great day! :)
4 0
3 years ago
Read 2 more answers
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