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Anit [1.1K]
3 years ago
5

The value of y varies jointly with the values of x and z. When x=4 and z=10 , the value of y is 360 . What is the value of y whe

n x=5 and z=12 ?
A. 153
B. 540
C. 9
D. 450
Mathematics
1 answer:
zzz [600]3 years ago
3 0
360=K(4) (10)
360= 40 k
k=360/40
k=9

y=9 x z

When x=5 z=12

y= 10 (5) (12)
y= 600
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Let the cost of 1 notebook be x and the cost of 1 binder be y.

4 notebooks and 3 binders would cost 23.5

Therefore, 4x + 3y = 23.5     (1)

7 notebooks and 6 binders would cost 44.5

Therefore, 7x + 6y = 44.5     (2)

Multiply the first equation by 2.

8x + 6y = 47     (3)

(3) - (2) gives

x = 2.5

Substitute the value of x in (1), we get,

4(2.5) + 3y = 23.5

10 + 3y = 23.5

3y = 23.5 - 10

3y = 13.5

y = 13.5/3

y = 4.5

Hence, cost of 5 notebooks and 3 binders is:

5x + 3y = 5(2.5) + 3(4.5)

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3 years ago
If y varies directly with x, find the missing value below.<br><br> (2, -34) and (x, 85)
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Answer:

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evablogger [386]

Answer:

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Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

<u>Given expression:</u>

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<u>Expand parenthesis by distributive property:</u>

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

<u>Put like terms together:</u>

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= \boxed{5}

<h2>PART II: Classify polynomial</h2>

<u>Concept:</u>

Polynomial is classified by the number of terms a polynomial has.

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  • Binomial: a polynomial with two terms
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<u>Classify the given expression:</u>

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a <u>monomial</u>.

Hope this helps!! :)

Please let me know if you have any questions

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