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k0ka [10]
3 years ago
5

Tina bought some nail polish and lip gloss at the store. The nail polish cost $4.50 per bottle and lipgloss cost $7 per tube. Ti

na bought 9 items and spent
$50.50 how many of each item did she buy?
Mathematics
1 answer:
miskamm [114]3 years ago
5 0
Assume all items are Lipgloss
Total Cost -> $7 x 9 = $63
difference-> $63-$50.50= $12.50
Assume that all were Lipgloss except for one item
Total Cost-> ($7x8)+$4.50= $60.50
diff-> $63-$60.50=$2.50
Number of Nail Polishes-> $12.50 diveded by $2.50 = 5
Number of Lipglosses-> 9-5=4
ANSWER:
Lipglosses:4
Nail Polishes :5
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3 years ago
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Answer:

\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

L^2 = y^2 + x^2

\implies L = \sqrt{y^2 + x^2},

Differentiating with respect to time (t),

\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})

=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)

=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})

=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})

Here,

\frac{dy}{dt}=-6\text{ ft per sec}

Also, \frac{dL}{dt} = 0           ( Ladder length = constant ),

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-6x + y\frac{dy}{dt}=0

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3 years ago
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Step-by-step explanation:

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