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blsea [12.9K]
3 years ago
10

Solve the equation ax-k=3(x+h) for x in terms of a, k, and h.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

ax-k=3(x+h)\ \ \ \ |\text{use distributive property}\\\\ax-k=(3)(x)+(3)(h)\\\\ax-k=3x+3h\ \ \ \ |+k\\\\ax=3x+3h+k\ \ \ \ \ |-3x\\\\ax-3x=3h+k\\\\(a-3)x=3h+k\ \ \ \ |:(a-3)\neq0\\\\\boxed{x=\dfrac{3h+k}{a-3}}

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Answer:

From our calculations the large jar is the best value for money because a penny buys more honey

Step-by-step explanation:

<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />

We will determine which has the best value for money using the quantity a pound can purchase.  

firstly for the large jar.

if £4.10 will purchase 540g of honey then,

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cross multiplying to find x will have

x=  \frac{1.00*540g}{4.10}

x= 131.7grams

Hence for the large jar a penny would buy 131.7g of honey

secondly for the small jar

if £2.81 will purchase 360g of honey then,

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cross multiplying to find x will have

x=\frac{1.00*360g}{2.81}\\x= 128.1gram

Hence for the small jar a penny would buy 128.1g of honey

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Answer:

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