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Effectus [21]
3 years ago
11

18. The equations 6x + 5y 300 and 3x + 7y = 285

Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer:  The  cost for each chocolate gift basket is b)$25.

Step-by-step explanation:

Hi, the correct equations are:

6x + 5y =300

3x + 7y = 285

So, if we multiply the second equation by 2, and subtract the first equation to the second equation:

6x +14 y= 570

-

6x +5y =300

_________

9y = 270

Solving for y:

y = 270/9

y = 30

Substituting y=30 on any equation:

6x + 5y =300

6x + 5(30) =300

Solving for x (cost for each chocolate gift basket)

6x+150 =300

6x =300-150

6x = 150

x =150/6

x = $25

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Which numbers are equivalent to 3/10
Sedbober [7]

Answer:

Multiply numerator and denominator with same number to gwt the answers . There are infinitely many numbers

3/10 × 2/2 = 6/20

3/10 × 5/5 = 15/50

3/10 × 10/10 = 30/100

And so on

8 0
4 years ago
The function f(x) is a quadratic function and a limited table of values is provided below. Write the equation of the quadratic p
OverLord2011 [107]

Answer:

  f(x) = 3x^2 -21x +36

Step-by-step explanation:

The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...

  f(x) = 3(x -3)(x -4)

Multiplying this out, we get ...

  f(x) = 3(x^2 -7x +12)

  f(x) = 3x^2 -21x +36

4 0
3 years ago
What is the slope of the line that contains the point (13,-2) and (3,-2)
ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

<em><u>Solution:</u></em>

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

<em><u>The slope of line is given as:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)

<em><u>Substituting the values in formula, we get,</u></em>

m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0

Thus the slope of line is 0

3 0
3 years ago
Describe all the possible locations for the graph of (x,y) if x=2
anzhelika [568]
If x=2, the line is just a straight, vertical line intersecting the x-axis at 2. 
7 0
3 years ago
Read 2 more answers
How do you solve 3x^6- 39x^4+ 108x^2= 0
ArbitrLikvidat [17]
You can first take out an x^2 from each number , 3x^6 - 39x^4 + 108x^2 = x^2 ( 3x^4 - 39x^2 + 108) Then just factor and solve for the zero's of the equation
6 0
3 years ago
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