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Gnoma [55]
4 years ago
5

your friend bought 3 bags of wild bird seed and an $18 bird feeder. each bag of birdseed costs the same amount. if your friend s

pent $45, find the cost of one bag of birdseed. a. 3 18x = 45; $2.33 c. 3 x 18 = 45; $24 b. 3x 18 = 45; $9 d. 3x - 18 = 45 ; $21
Mathematics
1 answer:
IrinaVladis [17]4 years ago
8 0
The total amount that your friend spent is the sum of the cost for 3 bags of wild bird seed and the bird feeder. By letting x be the cost of each bag of wild bird seed, the total cost for purchasing 3 bags of this is 3x. The equation that may be used to determine x is letter "B. 3x + 18 = 45". Each bag costs $9.
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5x + 2y = 6 3x + y = 4 Which of the following is part of the solution to the system of equations?
BabaBlast [244]
5x + 2y = 6
3x + y = 4....multiply by -2
-------------
5x + 2y = 6
-6x - 2y = -8 (result of multiplying by -2)
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-x = -2
x = 2

5x + 2y = 6
5(2) + 2y = 6
10 + 2y = 6
2y = 6 - 10
2y = -4
y = -4/2
y = -2 <=== here it is
6 0
4 years ago
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ΔABC and ΔXYZ are similar triangles. If BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4, find the value of x.
Nat2105 [25]

Solution:

we are given that ΔABC and ΔXYZ are similar triangles.

As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.

Here we have

BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4

So we can write

\frac{x+9}{x+5}= \frac{x+7}{x+4}\\&#10;\\&#10;(x+9)(x+4)=(x+7)(x+5)\\&#10;\\&#10;x^2+13x+36=x^2+12x+35\\&#10;\\&#10;13x-12x=35-36\\&#10;\\&#10;x=-1\\&#10;\\

Hence then value of x=-1.

3 0
4 years ago
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6 0
3 years ago
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ryzh [129]

Since, the fundraiser only have three prices for books($2, $5 and $10), the number of $5 book that was sold is 12.

<h3>How to form equation and solve ?</h3>

The fundraiser only have 3 prices for books which are $2, $5 and $10.

There were 6 more $5 books sold than $10 books sold.

Let

x = number of $10 book sold

Therefore,

number of  $5 books sold = x + 6

There are 8 more $2 book sold than $10 book sold. Therefore,

number of  $2 books sold = x + 8

A total of $250 was raised.

Therefore, the total amount sold forms the following equation:

10x + 5(x + 6) + 2(x + 8) = 250

10x + 5x + 30 + 2x + 16 = 250

17x = 250 - 30 - 16

17x  = 204

x = 204 / 17

x = 12

learn more on equation here: brainly.com/question/27361014

4 0
2 years ago
Find the derivatives of the following implicit function
ddd [48]

Answer:

\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}

Step-by-step explanation:

3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)

\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}

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3 years ago
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