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Salsk061 [2.6K]
3 years ago
13

c and y candy company mixes candy that cost $6 per pound with candy that cost $4.50 per pound. How many pounds of each are neede

d to make a 2 pound box whose total cost is $15?
Mathematics
2 answers:
Alla [95]3 years ago
5 0
c-the \ 6\$ \ candies \\ y-the \ 4.5-\$ \ candis \\ \\ c+y=2 \\ \\2(6+4.50)=15 \\\\ c+y=2 \ |(-3) \\12c+9y=15 \ |:(+3) \\\\ -3c-3y=-6\\ {4c+5y=5}\\...................... \\\\ -3c-3y=-6 \\ 4c+3y=5 \\ ................. \\\\ \boxed{c=1} \\\\ y=2-1 \\\\ \boxed{y=1}
umka21 [38]3 years ago
3 0
x-weight\ of\ candy\ cost\ \$6\ per\ pound\\y-weight\ of\ candy\ cost\ \$4.50\ per\ pound\\\\  \left\{\begin{array}{ccc}x+y=2\\2(6x+4.5y)=15\end{array}\right\\\left\{\begin{array}{ccc}x+y=2&|multiply\ both\ sides\ by\ (-3)\\12x+9y=15&|divide\ both\ sides\ by\ 3\end{array}\right\\+\left\{\begin{array}{ccc}-3x-3y=-6\\4x+3y=5\end{array}\right\ \ \ \ |add\ sides\ of\ the\ equations\\---------\\.\ \ \ \ \ \ \ \ \ x=1\\\\1+y=2\to y=1


Answer:Fifty Fifty (1\ pounds\ of\ candy\ cost\ \$6\ and\ 1\ pound\ of\ candy\ cost\ \$4.50

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The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

5^{x-2}= 8

Taking Log on both sides.

Log_e 5^{x-2}=Log_e8

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x  =  2.477

Therefore the value of x will be equal to 2.477.

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2 years ago
Twice the difference of a number and 2 is equal to three times the sum of the number and 3. Find the number. The number is nothi
trasher [3.6K]

The number is -13.

In order to find this, we first need to make each part of the statement into a mathematical statement.

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Now we can set them equal to each other and solve.

2(x - 2) = 3(x + 3) ----> Distribute

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Convert both measures to same units

Since 1 feet. = 12 in

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Take the ratio

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Reduce to lowest term

30: 75 = 2 : 5

Hence the scale model of a building 3 inches tall if the building is 90 feet tall is 2:5

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