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2 years ago

6

Susan needs to buy apples and oranges to make fruit salad. She needs 15 fruits in all. Apples cost $3 per piece, and oranges cos

t $2 per piece. Let m represent the number of apples. Identify an expression that represents the amount Susan spent on the fruits. Then identify the amount she spent if she bought 6 apples.

2 answers:

professor190 [17]2 years ago

8 0

Answer with Step-by-step explanation:

Susan needs to buy apples and oranges to make fruit salad.

She needs 15 fruits in all.

Let m represent the number of apples.

Number of oranges= 15-m

Apples cost $3 per piece, and oranges cost $2 per piece.

Amount spent= $ (3m+2(15-m))

= $ (3m + 2×15 - 2m)

= $ (m+30)

If she bought 6 apples.

i.e. m=6

Amount spent =$ (6+30)

= $ 36

Hence,

Expression that represents the amount Susan spent on the fruits is:

m+30

The amount Susan spent if she bought 6 apples is:

$ 36

rusak2 [61]2 years ago

4 0

Answer:

Step-by-step explanation:

$3x6=18 the six represents the apples and the 3 is the cost of each apple, 18 is the cost.

$2x9=$18 the nine is the oranges and the two is the money spent on each one. The total would be $36 in total for all the fruit.

So (9x2)+(3x6)=$36

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The X-Intercept is that actual point present in the graphical interpretation where the Y-axis is taken as zero, this makes us to point out the position of X-Intercept points on its X-axis and Y-axis. Take the variable "n" as the variable of "x", it will not change any context or such, we can take any variables for calculations, it does not hinder the processing of Intercepts for the axial points on a graph.

$\boxed{\mathbf{\therefore \quad -2(3x - 1)(2x + 1) = 0}}$

By the zero factor principle, both of them can be separately calculated as a zero on their either sides of the expression.

$\mathbf{\therefore \quad 3x - 1 = 0}$

$\mathbf{3x - 1 + 1 = 0 + 1}$

$\mathbf{3x = 1}$

$\mathbf{\dfrac{3x}{3} = \dfrac{1}{3}}$

$\mathbf{\therefore \quad x = \dfrac{1}{3}}$

Similarly, for the second X-Intercept point for the value of 0 in the Y-axis or Y axial plane in a 2 dimensional Graphical representation is going to be, As per the zero factor principle:

$\mathbf{\therefore \quad 2x + 1 = 0}$

$\mathbf{2x + 1 - 1 = 0 - 1}$

$\mathbf{2x = - 1}$

$\mathbf{\dfrac{2x}{2} = \dfrac{- 1}{2}}$

$\mathbf{\therefore \quad x = -\dfrac{1}{2}}$

Then the X-Intercept here becomes with our provided points as:

$\boxed{\mathbf{\underline{X-Intercept: \quad \Bigg(\dfrac{1}{3}, \: 0 \Bigg), \: \: \: \: \Bigg(-\dfrac{1}{2}, \: 0 \Bigg)}}}$

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Just substitute the value of "0" in "x" axis as a variable on the provided expression. Therefore:

$\boxed{\mathbf{= -2(3 \times 0 - 1) (2 \times 0 + 1)}}$

$\mathbf{y = - 2 (0 - 1) (0 + 1)}$

$\mathbf{y = - 2 (- 1) (0 + 1)}$

$\mathbf{y = - 2 (- 1) \times 1}$

$\mathbf{y = 2 \times 1 \times 1}$

$\mathbf{\therefore \quad y = 2}$

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$\boxed{\mathbf{\underline{Y-Intercept: \quad \big(0, \: 2 \big)}}}$

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Hope it helps.

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3 years ago

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2 years ago

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Insert this into second equation

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3 years ago

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Answer:

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