someone please help me! the question is 18.

6/8

Step-by-step explanation:

1/2 = 0.5

6/8 = 0.75

therefore, 0.75 > 0.5

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:

https://brainly.com/question/10724274

Using proportions, it is found that each of the pitchers for the Stingrays pitched for [tex]\mathbf{\frac{11}{3} = 3\frac{2}{3}}[/tex] innings.

The rule of three is:

3 pitchers - 11 innings

1 pitcher - x innings

Applying cross multiplication:

[tex]3x = 11[/tex]

[tex]x = \frac{11}{3}[/tex]

11 divided by 3 has result 3 with remainder 2, hence, also considering the answer as a mixed number:

You can learn more about proportions at https://brainly.com/question/24372153

Answer:

y = [tex]\frac{3}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line

Answer:

The value of [tex]f(2) - g(7)=-58[/tex]

Step-by-step explanation:

We have

[tex]f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58[/tex]

See attachment for answer and math work.

Answer:

Slope: 1/2

Step-by-step explanation:

Look at the file.

Answer:

The third option, 1/2..

Answer:

This is not possible with 2 equal symbols

Answer:

22 people

Step-by-step explanation:

Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.

Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.

So that would be my answer. I hope that helps. :)

Answer:

7. Consecutive Interior Angles that are Supplementary

8. Alternate Exterior Angles that are Congruent

9. Alternate Exterior Angles that are Congruent

10. Alternate Exterior Angles that are Congruent

11. Same Side Exterior Angles that are Supplementary

12. Consecutive Interior Angles that are Supplementary

Step-by-step explanation:

Not sure if I even got them in the correct order, my apologies. The picture provided was a bit hard to read.

Correct me if I am incorrect.

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:

A = 192

Step-by-step explanation:

3 x 8^2

3 x 64 = 192

Answer:

I think it's a Box Plot, hope this helps

Answer: 3/8

Step-by-step explanation:

Answer:

your answer is

its 3.5

Answer: There is no picture.

Step-by-step explanation:

Answer:

212.5

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer: R= 7

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf t = 7}[/tex]

Step-by-step explanation:

-8 (4 - t) = 24

-32 + 8t = 24

Add 32 to both sides

8t = 24 + 32

8t = 56

Divide both sides by 8

t = 7

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

Answer: yes, because they both equal x= -8

Step-by-step explanation:

m= -5 -3

calculate

= -8

m= -12+4

calculate

m= - 8

Answer:

√3/2 is the correct answer. I hope this helps ^^

Step-by-step explanation:

The measurement  of ∠ ABC in  [tex]\triangle ABC[/tex], When AB =√2,  AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].

The measures of angle ∠ ABC can be calculated as:

The Law of Cosines, states that:

[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]

Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.

The sides of ∆ ABC will be :

AB = [tex]\sqrt{2}[/tex] (given)

BC = 2 (given)

[tex]AC = 1 + \sqrt{MC}[/tex]

∆ ABC is a triangle and according to the triangle inequality theorem,  the  The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So:

BC+AB > AC

[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]

[tex]\sqrt 2 +1 > \overline{MC}[/tex]

The law of cosines for [tex]\angle ABC[/tex] can be calculated as:

[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]

The values can be obtained by the substitution.

[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]

[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

This can be simplified as:

[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

The value of [tex]\overline{MC}[/tex] can be calculated as:

[tex]\sqrt 2+1 > \overline{MC}[/tex]

Substitute the value in the equation,

[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]

[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]

[tex]0 = 10 - 2.cos (\angle ABC)[/tex]

Thus, the value of cos [tex](\angle ABC)[/tex]  is calculated as:

[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]

[tex]cos(\angle ABC) = 5[/tex]

Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].

Learn more about angles here:

https://brainly.com/question/14569348

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The solutions are where the lines cross each other.

The lines only cross each other once so there is 1 real solution.

Answer: 1

Answer:

7 fiction and 23 non- fiction

Step-by-step explanation:

The number of non-fiction read was 5 less than 4 times the number of fiction books.

Assume fiction books are x.

An equation representing this would be:

x + (4x - 5) = 30

5x - 5 = 30

5x = 30 + 5

x = 35 / 5

x = 7 fiction books

Non-fiction books:

= 4x - 5

= 4 * 7 - 5

= 23 non - fiction books

Answer:

2/45

Step-by-step explanation:

Answer:

0.5%

Step-by-step explanation: