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jenyasd209 [6]
3 years ago
9

On a recent trip to the convenience​ store, you picked up 3 gallons of​ milk, 4 bottles of​ water, and 8 ​snack-size bags of chi

ps. your total bill​ (before tax) was $21.30. if a bottle of water costs twice as much as a bag of​ chips, and a gallon of milk costs ​$1.60 more than a bottle of​ water, how much does each item​ cost?
Mathematics
1 answer:
Andrew [12]3 years ago
5 0
To find the answer you will write and equation in terms of the cost of a bag of chips.  

3(cost of milk) + 4 (cost of water) + 8 (cost of bag of chips) = $21.30
   3 (2c +1.60)  +        4 (2c) +        8 (c) = $21.30 ; Simplify
  6c + 4.80   +  8c   + 8c = 21.30
    22c + 4.80 = 21.30
           - 4.80     -4.80
  <u>22c </u>     = <u>$16.50</u>
  22               22
c = 0.75

The chips cost $0.75 each.

The milk costs (2 x $0.75 + $1.60) $3.10 each.

The water costs (2 x $0.75) $1.50 each.

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A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets
Fynjy0 [20]
Let x be the number of new laptops and y be the number of tablets that the company should buy. The equations that best show the given conditions are as follows,
                                   x + y = 30
                                515x + 285y = 11080
Solving simultaneously for the values of x and y gives an answer of x = 11 and y = 19.

Thus, the business should buy 11 laptops and 19 tablets.
8 0
3 years ago
Read 2 more answers
I need the <br> Domain:<br> and <br> Range:
Aleksandr [31]

Answer:

I don't know what kind of form your assignment wants it in, but the domain (span over the x axis) is -4<=x<=5, and the range is -3<=x<=5. Perhaps write it is as "-4 to 5" for domain and "-3 to 5" for range.

Step-by-step explanation:

6 0
2 years ago
Find all real solutions:<br> x² - x - 12 = 0
Andrej [43]
Factor the equation. Remember the value should add to the b value and multiply to the c value.

x^2-x-12= 0
(x-4)(x+3)=0

Use the zero product property to find roots
x-4=0
x=4

x+3=0
x=-3

Final answer: x=-3, x=4
8 0
2 years ago
Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.
Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

radius(r) =  \sqrt{ {g}^{2}  +  {f}^{2} - c  } \\  =  \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } +  {2}^{2}  - 0 }  \\  =  \sqrt{ \frac{9}{4}  + 4}  \\  =   \sqrt{ \frac{25}{4} }  \\  =  \frac{5}{2}

6 0
3 years ago
Find area of the composite figure..
saveliy_v [14]

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346  + 281

Area of the figure  = 627square inches

3 0
3 years ago
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