(40 POINTS) Which linear function represents this table of values?

A. y=16x+13
B. y=23x+7
C. y=32x−3
D. y=6x−9

x: y:
3 9
9 13
12 15

Answer:

12, 63 and 21 sum to 96

.....

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

[tex]\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}[/tex]

[tex]\displaystyle S= \frac{3}{2} \cdot J[/tex]

Therefore;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}[/tex]

Which gives;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500[/tex]

[tex]\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579[/tex]

The number of bottles of apple juice sold, J ≈ 77,579 bottles

Learn more about simultaneous equations here:

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Answer:

Step-by-step explanation:

Nonlinear, because the slope is not constant - it keeps changing.

Slope between (1,1) and (1,2) is (1/1) or 1

Slope between (2,4) and (16,3) is:

            Rise = (3-4) = -1

            Run = (16-2) = 14

            Slope = 14/-1 or -14

Definitely not linear.  The slope changes dramatically very quickly.  A straight line would disapprove.

From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.

= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)

We've to expand the functions and this will be:

= -2a + 10 - 3a - 15b + 6 + 6b - ab

Collect like terms

= - 2a - 3a - 15b + 6b + 10 + 6 - ab

= -5a - 9b + 16 - ab

Therefore, the expression is equivalent to 5a - 9b + 16 - ab.

Learn more about equations on:

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Answer:

50 is the answer

Step-by-step explanation:

you need to add 45+5 the you will get 50

Answer:

x=-3

Step-by-step explanation:

[tex]\huge\bold\green{ANSWER}[/tex]

The inverse trig ratios, you can find the angle measure, given two sides.

Inverse Tangent: If you know the opposite side and adjacent side of an angle in a right triangle, you can use inverse tangent to find the measure of the angle.

[tex] \: \: \: \: \: [/tex]

first add

(3a²-5a+5)+(a³-5a²+8)

=3a²-5a+5+a³-5a²+8

=a³-2a3a²-5a²+5+8

=a³-2a²+13

and now,

substract a³-2a²+13 from a²-4a²-9

=7a²-4a²-9-(a³+13)

=7a²-4a²-9-a³+2a²-13

= a³+7a²-4a²+2a²-9-13

=-a³+5a²-22

Answer:

5

Step-by-step explanation:

5 x 11 = 55

55 / 11 = 5

Answer:

the anwser is b

Step-by-step explanation:

it is another word for looping

Answer:

Please give Brainliest!

Step-by-step explanation:

The three dimensions are 36ft, 72ft, and 59ft.

Answer:

$14(h) + $50 = t

t = total

h = hours he works

Answer:

54m^2

Step-by-step explanation:

Area for a triangle = 1/2(12*9)

12 x 9 = 108

108/2 = 54

Answer:

115

Step-by-step explanation:

They are opposite angles. You can tell because they are on the same line, and one is smaller than the other. So together they equal 180.

180 - 65 = 115

I hope this helps!!

Answer:

74/17 = 4.35

Step-by-step explanation:

The first triangle is 74 and the second triangle is 17, so you divide 17 by 74 to get 4.35294 which rounds to 4.35

Answer:

I believe the answer is 25 years

Step-by-step explanation:

3% of 4000 is 120

3000 divided by 120 is 25

Answer:

25 years

Step-by-step explanation:

So you have $4000, with a rate of 3% interest.

You want to see how long it takes to save up to $7000.

Do,

3% of $4000 is $120.

It takes a year to get a interest.

And you need $3000 dollars.

Now do 3000 ÷ 120.

You get 25.

Answer:

Question not clear. I cant see the value for slope.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

PEMDAS

4+372-320

376-320

56

Answer:

The answer is 240

Step-by-step explanation:

So since your trying to find the area of 12ft, 4ft, and 5ft you have to multiply them all. So 12x4= 48x5= 240.

Hope this helps :)

Answer: surface area = 240 ft^3

Step-by-step explanation:

Assuming you are talking about the surface area of a rectangular prism, the surface area equation for rectangular prisms is SA = l x w x h (surface area = length x width x height). You multiply 12 by 4 by 5 to get your answer.

Answer:

5.5

Step-by-step explanation:

The line perpendicular to y =-3 /2 x + 6 is y = 2/3 x + 6. When you find the y-int  from the graph you drew, the y-int is about 5.5

Hope that helps

answer in the photo thank me later mate

Answer:

0.737>0.708

Step-by-step explanation:

it must me d because 0.737 is greater than 0.708 and it's the only true Statement

Answer:

82%

Step-by-step explanation:

They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%

Answer:

y=7

Step-by-step explanation:

42/6=7

Answer:

y =7 iits divided

Step-by-step explanation:

y =6/42

y= 7

Answer:

-16-7y/3

Step-by-step explanation:

-3x+7y=-16

Subtract 7y from both sides

-3x=-16-7y

Divide both sides by -3

x=-16-7y/3