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lozanna [386]
2 years ago
9

Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each

drink costs $2.25. He bought 3 times as many hotdogs as drinks. Graphically solve a system of equations in order to determine the number of hotdogs, x,x, and the number of drinks, y,y, that Kevin bought.
Mathematics
1 answer:
Musya8 [376]2 years ago
6 0

Answer:

6 hot dogs, 2 drinks

Step-by-step explanation:

let y = number of hot dogs

let x = number of drinks

system:

y = 3x

4.5y + 2.25x = 31.50   (standard form:  y = -1/2x + 7)

if you graph the system, lines intersect at (2, 6)

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What are the factors of the equation 24x^2=9-30x?
Dennis_Churaev [7]

Answer:

3(4x - 1)(2x + 3)

Step-by-step explanation:

Rearrange the equation into standard form

Subtract 9 - 30x from both sides

24x² + 30x - 9 = 0 ← in standard form

Take out 3 as a common factor

3(8x² + 10x - 3) = 0 ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term

product = 8 × - 3 = - 24, sum = 10

The factors are - 2 and + 12

Use these factors to replace the x- term, that is

8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )

2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)

(4x - 1)(2x + 3)

24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form

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Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).
Stels [109]

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if (x_1,y_1) and (x_2,y_2) are the coordinates of end points of line segment then the coordinates of mid-point are

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3 years ago
Read 2 more answers
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