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irakobra [83]
3 years ago
15

A manufacturer of shipping boxes has a box shaped like a cube. The side length is (5a + 4b). What is the volume of the box in te

rms of A and b
Mathematics
1 answer:
Flura [38]3 years ago
5 0

The volume of the cube would be S^3, where S is the length of the side.


Volume = (5a + 4b)^3

Which becomes:

(5a+4b)(5a+4b)(5a+4b)  

Multiply the first two sets of parenthesis by each other:

(25a^2+40ab+16b^2)(5a+4b)  

Now multiply that by the 3rd set of parenthesis to get:

125a^3+300a^2b + 240ab^2 + b^3

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What is a quick picture for 0.51
Zarrin [17]
Hello! Draw a hundred (I know, it's tedious!) circles. Make a giant bracket around them all and label it "One Whole". Then color in 51 of those circles.

I hope this helps!
7 0
3 years ago
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where
Setler79 [48]

Answer:

k=-16,k=-8,k=8,k=16

Step-by-step explanation:

We are given quadratic equations as

x^2+kx+15

and it can be factored as

=(x+a)(x+b)

now, we can multiply factor term

(x+a)(x+b)=x^2+(a+b)x+ab

now, we can compare

x^2+(a+b)x+ab=x^2+kx+15

so, we get

k=a+b

ab=15

we are given that

'a' and 'b' are integers

so, we can find all possible factors

15=(-1\times -15),(1\times 15)

15=(-3\times -5),(3\times 5)

so, we can find k

At (-1\times -15):

k=a+b

we can plug values

k=-1-15

k=-16

At (1\times 15):

k=a+b

we can plug values

k=1+15

k=16

At (-3\times -5):

k=a+b

we can plug values

k=-3-5

k=-8

At (3\times 5):

k=a+b

we can plug values

k=3+5

k=8

So, values of k are

k=-16,k=-8,k=8,k=16

6 0
3 years ago
Can you help me with this.
user100 [1]

I hope this helps you

7 0
3 years ago
The list price of a refrigerator is $1899. The chain discount is 20/15. What is the final net price?
shusha [124]
1st = 100% - 20% = 80%
2nd= 100%-15% = 85%

Net Price Factor = 0.8 x 0.85 = 0.68

Net Price = $1899 x 0.68

Final Net Price = $1,291.32

Total Discount= $1899 - 1,291.32 = $607.68


5 0
3 years ago
At the grocery store 1/5 of the groceries are produce. Of the produce 2/3 is vegetables. What fraction of the groceries in the g
netineya [11]
If you have 1/5 and 2/3, you need a common denominator to even do anything. So three and five both go into 15, so then you do 2 times 5, cause 3 times 5 is 15. And 1 times 3, cause 3 times 5 is 15. So you end up with 3/15 as produce, and 10/15 as vegetables. So, then you divide the fractions, 1/5 divided by 10/15, which is the same as 1/5 times 15/10. So your answer is 3/10 of the produce is vegetables.
8 0
3 years ago
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