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Arlecino [84]
3 years ago
12

Candy selling at $6.00 per pound will be mixed with candy selling at $9.00 per pound. How many pounds of the more expensive cand

y are needed to produce a 15-pound mixture that sells for $7.00 per pound?
Mathematics
2 answers:
Gennadij [26K]3 years ago
8 0
Let us call X the number of pounds of $6 candies and Y the number of pounds of $9 candies.
We know that:
X+Y=15 (we are picking a total of 15 pounds)
(6X+9Y)/15=7 (the average of each pound out of those 15 is "valued" $7)

So you can deduce that Y=15-X
Then replace Y in the other equation by 15-X which is:
(6X+9*(15-X))/15=7
(6X+135-9X)/15=7
(135-3X)/15=7
135-3X=7*15
135-3X=105
-3X=-30
X=10

So you can deduce that Y=15-10=5

As a matter of fact you can verify that 10 pounds of the first candies are valued $60 and 5 pounds of the seconds are valued $45 which is a total of 105.
105/15=7 which means that the overall 15 pounds do have an average per-pound-value of $7.
shutvik [7]3 years ago
8 0

Answer:

10

Step-by-step explanation:

look at the answer above for explanation

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boyakko [2]

Answer:

(x,y) =(-4,-3) --- Vertex

x = -4 --- Axis of symmetry

Step-by-step explanation:

Given

y = -6(x + 4)^2 - 3

Solving (a): The vertex

For an equation written in

y = a(x - h)^2 + k

The vertex is:

(x,y) = (h,k)

By comparison:

y = a(x - h)^2 + k  and y = -6(x + 4)^2 - 3

-h =4       k = -3

h =-4         k = -3  

So, the vertex is:

(x,y) =(-4,-3)

Solving (b): The axis of symmetry

For an equation written in

y = a(x - h)^2 + k

The axis of symmetry is:

x = h

In (a):

h =-4

So:

x = -4

5 0
2 years ago
Which of the following data sets is best described by a linear model
melamori03 [73]

Answer:

sry i dont know

Step-by-step explanation:

lolz

6 0
3 years ago
Which alphabet is missing V S P W T P_​
slavikrds [6]

Answer:

E

Step-by-step explanation:

6 0
3 years ago
4) Adult tickets for the evening show at XD Theater are $11 and children's tickets are $Belf the theater seats 250 people, how m
kozerog [31]

Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.

Answer: 100 adult tickets  must be sold.

Step-by-step explanation:

step 1

let  x represent Adults

AND y represent children

Since the theater seats 250 people we have that

x+y = 250..... equation 1

Also price for Adult ticket = $11

and  price children ticket =$8

With total sales at $2,300, we have that

11x + 8y= 2300----- equation 2

Step 2

Making y subject in equation 1

' x+y = 250

y= 250-x

Putting y= 250- x in equation 2

11x + 8(250-x)= 2300

11x +2000-8x= 2300

11x -8x = 2300-2000

3x= 300

x 300/3

x= 100.

To find y

 x+y = 250

100+y=250

y=250-100

y=150

Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300

5 0
3 years ago
The specific gravity of a substance is the ratio of its weight to the weight of an equal volume of water. Kerosene weighs 0.82 g
netineya [11]

Answer:

The specific gravity of kerosene is 0.82

Step-by-step explanation:

Let

x -----> the weight in grams of a cubic centimeter of Kerosene

y ----> the weight in grams of a cubic centimeter of water

z ---> the specific gravity of a substance

so

z=\frac{x}{y}

we have

x=0.82\ g\\y=1\ g

substitute the values

z=\frac{0.82}{1}=0.82

8 0
3 years ago
Read 2 more answers
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