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Gala2k [10]
2 years ago
9

Which equation represents the proportional relationship between the cost, t, in dollars, of p pounds of wood bought? T=0.29pt =

0.29 p t=0.31pt = 0.31 p t=3.45pt = 3.45 p t=3.48p
Mathematics
1 answer:
docker41 [41]2 years ago
3 0

Answer:

T = 0.29p

Step-by-step explanation:

From the table Given :

We can obtain the uint cost per pound of wood :

Cost of 12 pounds of wood = $3.48

Cost per pound = Cost / weight

Cost per pound = $3.48 / 12 = $0.29

Hence, the proportional relationship cost, T in dollars and p pounds of wood is ;

Cost = unit cost per pound * number of pounds

T = 0.29 * p

T = 0.29p

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-4x-7+10x=-7+6x−4x−7+10x=−7+6xminus, 4, x, minus, 7, plus, 10, x, equals, minus, 7, plus, 6, x Choose 1 answer: Choose 1 answer:
EleoNora [17]

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(Choice C) C Infinitely many solutions.

Step-by-step explanation:

First of all, let us learn about solutions of linear equations in one variable.

The linear equations in one variable usually have one solution.

For example:

2x =x+3

When we solve this:

2x-x=3\\\Rightarrow x=3

One solution is x = 3

<em>But there can be situations when there are</em>

<u>1.</u><u> </u><u>No solutions:</u>

For example:

x =x+9

It means that value x is equal to value of x+9 which can never be true.

Truth is the term on Right Hand Side is always 9 greater than the value of Left Hand Side.

Such situations are called Contradictions.

Here, no solution exists.

<u>2. Infinitely many solutions:</u>

For example:

x+2x+8=3x+8

The Right hand Side is just the simplification of the LHS.

And LHS is always equal to RHS no matter what is the value of variable x.

It means there are infinitely many solutions for this equation.

-----------------------------------------------------

Now, let us have a look at the given equation in the question:

-4x-7+10x=-7+6x

Taking LHS: -4x-7+10x

Taking the terms with x on one side:

-7+10x-4x\\\Rightarrow -7+6x

which is equal to Right Hand Side.

Hence, as we discussed in case 2 above.

For every value of x the equation holds true.

\therefore There exists infinitely many solutions to the given equation.

Correct answer is:

<em>(Choice C) C Infinitely many solutions</em>

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