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Rudiy27
3 years ago
15

Last month Mrs. Hamilton bought a 4-pound bag of potatoes for $9.12. This month she purchased a 6-pound bag of potatoes for $11.

40. What is the difference in the unit cost per pound that Mrs. Hamilton paid?
Mathematics
1 answer:
kirza4 [7]3 years ago
6 0
38 cents, could be wrong tho!
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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
mark ordere wome balloons for a party that she is having.The balloons cost $4.50 each and there is a service fee of $12.The tota
ohaa [14]
A general equation to use for this situation is y = mx + b.

For this question, we can assume that y is total cost, m is cost per balloon, x is the amount of balloons, and b as the service fee; so we can set the equation up:

y = (4.50)x + 12

And we can further plug in the total cost to find the number of balloons purchased for the party:

79.50 = (4.50)x + 12

Now we can solve for x (number of balloons):

67.50 = (4.50)x

x = 15

The total number of balloons purchased for the party is 15.
5 0
2 years ago
Can someone solve this for me please?
Ksivusya [100]
The y-in is -6
The x- in is -1 and -6
The vertex is (-3.5,-6.25)
The axis is -3.5
5 0
3 years ago
I need help solving $27 ticket with 10% discount
weqwewe [10]

The answer would be $2.70

7 0
3 years ago
Read 2 more answers
What is the value of x? 1 2 x + 2 = x - 1 4 A) - 2 9 B) - 9 2 C) 1 9 D) 9 2
Volgvan
X=1.3
Hope this helps I not I’m truly sorry
6 0
3 years ago
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