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elena55 [62]
3 years ago
6

A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many

ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = \frac{33.48}{24.35}

At cost $27.87/ounce, pure silver is mixed = \frac{33.48}{24.35}\times 27.87 = \frac{933.08}{24.35}  = 38.31

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.

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Answer:

16p

Direction: positive/upward direction

Step-by-step explanation:

First, the function is f(x,y) = 4ypx

At the point where x=4 and y=1, the maximum rate of change of the function f(x,y) is

4(1)p(4) = 16p

The direction in which it occurs is the positive(upward) direction

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3 years ago
Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) mi
makvit [3.9K]

The extraneous solution of the logarithmic problem \rm log_3(18x^3)-log_3(2x) = log_3 144 is -4.

<h3>What is Logarithm?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

\rm{log_ab=c

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

brainly.com/question/7302008

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Lubov Fominskaja [6]

The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²

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The equation of a circle is:

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Where (h, k) is the center and r is the radius.

The circle with center (0,6) containing the point (74,2). Hence:

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The equation is:

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