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Pavlova-9 [17]
4 years ago
11

a store is having a sale on chocolate chips and walnuts. for 3 pounds of chocolate chips and 5 pounds of walnuts the total cost

is$23. for 6 pounds of chocolate chips and 2 pounds of walnuts the total cost is $20. Find the cost for each pound of chocolate chips and each pound of walnuts
Mathematics
1 answer:
Delvig [45]4 years ago
6 0
If you set you the equations such as 3c+5w=23 and 6c+2w=20 and then solve the first equation for c, you get c= (23-5w)/3 Taking that equation and substituting it for 'c' in the second equation (so the second equation becomes: 6((23-5w)/3)+2w=20  ) you get w=3.25 If you plug that back into your first equation (so it now becomes: 3c+5(3.25)=23 ) you get c=2.25 So the answer would be walnuts cost $3.25 per lb and choc. chips cost $2.25 per lb. 
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Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

54 79 100 70 75 56 88

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55 88 80 85 69 71 60

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Class____frequency____cumulative frequency

54 - 63_____7_____________7

64 - 73_____7_____________14

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5 0
3 years ago
A positive number with an absolute value less than 5.
Goryan [66]

Answer:

3 I think.

Step-by-step explanation:

it's positive and it's also an absolute

4 0
3 years ago
PLEASE HELP ILL THANK U AND RATE
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7 0
3 years ago
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For the given quadratic equation convert into vertex form, find the vertex and find the value for x=6 Y=-2x^2+2x+2
Serga [27]

Answer:

Part 1) The vertex is the point (0.50,2.50)

part 2) y=-58

Step-by-step explanation:

we have

y=-2x^{2} +2x+2

Part 1) Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-2=-2x^{2} +2x

Factor the leading coefficient

y-2=-2(x^{2} -x)

Complete the square. Remember to balance the equation by adding the same constants to each side

y-2-0.50=-2(x^{2} -x+0.25)

y-2.50=-2(x^{2} -x+0.25)

y-2.50=-2(x-0.50)^{2}

y=-2(x-0.50)^{2}+2.50 -----> equation in vertex form

The vertex is the point (0.50,2.50)

Part 2) Find the value of y for x=6

substitute the value of x in the equation

y=-2(6)^{2} +2(6)+2

y=-72 +12+2

y=-58

4 0
4 years ago
Which points are on the graph of the function rule ƒ(x) = 10 – 4x? ( –18, 2), ( –10, 0), ( –2, –2) (18, –2), (10, 0), (2, 2) (–2
Artyom0805 [142]

(2, 2 ), (- 2, 18 ), (0, 10 )

substitute the x-coordinate of each point into f(x) and if the value is equal to the y-coordinate then it is on the graph of f(x)

(- 18, 2 ) ⇒ y = 10 + 72= 82 ≠ 2

(- 10, 0 ) ⇔ y = 10 + 40 = 50 ≠ 0

(- 2, - 2 )⇒ y = 10 + 8 = 18 ≠ 2

(18, - 2 ) ⇒ y = 10 - 72 = - 62 ≠ - 2

(2, 2 ) ⇒ y = 10 - 8 = 2 ⇒ (2, 2 ) is on graph

(- 2, 18 ) ⇒ y = 10 + 8 = 18 ⇒ (- 2, 18 ) is on graph

(0, 10 )⇒ y = 10 - 0 = 10 ⇒ (0, 10 ) is on graph

(2, - 18 ) ⇒ y = 10 - 8 ≠ - 18


3 0
3 years ago
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