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KatRina [158]
3 years ago
6

PLEASE HELP!!

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer:

Part a) The inequality that represent the situation is

x+(3x)+(6x) \leq 350\ in  

Part b) The possible lengths of the shortest piece of wire are all positive real numbers less than or equal to 35\ inches

Step-by-step explanation:

Let

x------> the length of the first wire

3x---> the length of the second wire

2(3x)=6x -----> the length of the third wire

Part a) WRITE AN *INEQUALITY* THAT MODELS THE SITUATION

we know that

The inequality that represent the situation is

x+(3x)+(6x) \leq 350

Part b) WHAT ARE THE POSSIBLE LENGTHS OF THE SHORTEST PIECE OF WIRE?

we know that

The shortest piece of wire is the first wire

so

Solve the inequality

x+(3x)+(6x) \leq 350

10x \leq 350

Divide by 10 both sides

x \leq 35\ in

The possible lengths of the shortest piece of wire are all positive real numbers less than or equal to 35\ inches

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Suppose you work as a clerk at a local retail store earning $6 per hour. The amount of your weekly paycheck (before taxes are ta
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Answer:

x is the independent variable and it represents the number of hours worked per week by the clerk.

Step-by-step explanation:

An independent variable refers to a variable in model that is varied or changed in order to examine its effect on another variable. The other variable is called a dependent variable.

A dependent variable is a variable in a model that changes as a result of a change in the independent variable.

From the question, x is the independent variable and its represent the number of hours worked by the clerk.

F(x) represents the amount of your weekly paycheck and it is the dependent variable that changes as the number of hours worked, x, changes.

For example, since we are given:

F(x) = 6x ............................... (1)

Where;

F(x) = = depemdent variable = Amount of weekly paycheck (before taxes are taken out)

6 = coefficient of x = Earning per hour

x = Independent variable = Number of hours worked

Assuming x = 1, we can substitute this into equation (1) and have:

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But when x = 2, we have:

F(x) = 6 * 2 = $12

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Answer:

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Step-by-step explanation:

We have been provided a graph of a triangle and we are asked to find the length of segment DE.

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By angle bisector theorem we can set proportions of the given sides as:

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Upon substituting our given values in above proportion we will get,

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Upon multiplying both sides of our equation by 2 we will get,

\frac{DE}{2}\times 2=2\times \frac{10}{5}

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Therefore, the length of segment DE is 4 units.

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