How many solutions does this system have?

At school store, 6 pencils sell for $.99. At this rate, what is the cost of 16pencils

Alexandra [31]

Answer:

$2.64

Step-by-step explanation:

Divide .99 by 6 to get 0.165, then multiply 0.165 by 16 to get 2.64.

8 0

1 year ago

Can anyone please help me I know it’s right I don’t know why it’s staying it’s wrong

svlad2 [7]

Answer:well If it says its wrong then it may be wrong some times is you think its right its not always right

4 0

2 years ago

lynn, jude and anne were given the function f(x)=-2x^2+32, and they were asked to find f(3). lynns answer was 14, judes answer w

AfilCa [17]

The only thing we need to here to find who is correct is evaluate the function $f(x)=-2 x^{2} +32$ at $x=3$ . To do that we are going to replace $x$ with $3$ in the function:
$f(x)=-2 x^{2} +32$
$f(3)=-2 (3)^{2} +32$
$f(3)=-2 (9) +32$
$f(3)=-18+32$
$f(3)=14$

We can conclude that Lynn is correct. $f(3)$ is indeed 14.

6 0

3 years ago

The length of a rectangle is three times it’s width. The area of the rectangle is 48 square centimeters. Find the measures of th

denis-greek [22]

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Define length and width
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Let the width be x
Width = x
Length = 3x

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Form equation and solve for x
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x(3x) = 48
3x² = 48
x² = 48 ÷ 3
x² = 16
x = √16
x = 4

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Find length and width
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Width = x = 4
Length = 3x = 3(4) = 12

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Answer: Width = 4cm, Length = 12cm
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7 0

3 years ago

Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag

notka56 [123]

We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem.

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h + 2*w*h
SA = 2*27*14 + 2*27*22 + 2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.

$\frac{SA}{V} = \frac{2*L*W + 2*L*H + 2*W*H}{L*W*H}$

Another way to do this is to consider a cube which might give you a more useful result.

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

$\frac{SA_cube}{V_cube} = \frac{6s*s}{s*s*s}$
$\frac{SA}{V} = \frac{6}{s}$

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.

4 0

3 years ago