The number of bottles the facility requires to sell when it breaks is given by
a system of two simultaneous equations.
When the facility breaks even, it would have sold 77,579 bottles of apples juice.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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There are 30 kilograms of 10 percent apple juice how much more aplle juice does it need to get to 25 percent?
Answer:
45 kg of apple juice
Step-by-step explanation:
Divide 25% by 10%
The answer you get multiply it by 30
Take the answer you get subtract the 30 kg
Need help ASAP on #22 please!! Just #22. I couldn't take a proper picture of it because my hand was too shaky and I'm using P.C.
Giving Brainliest to a person who gets it right. I need an answer ASAP! This is my last question.
The following diagram shows the side view of a roof and attic space of a newly constructed
home. Find m
A. 20°
B. 40°
C. 60°
D. 25°
Answer:
A 20
Step-by-step explanation:
yeah-ya....... right?
Students who
ride the bus
65% of the 800 students at North High School ride the
bus. How many students ride the bus?
0 65
?
100 multiplied by
is equal to 800
H
65 multiplied by
vis equal to
0 100
800
out of
students ride the bus.
All
students
Question 16
What is the shortest distance between the line y = 2x+4 and the point at (0.0)? Round to the nearest tenth.
O A) 1.8
O B) 2.0
O C) 3.2
O D) 4.0
The shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The equation of the line is:
y = 2x + 4
Or
2x - y + 4 = 0
The point is (0, 0)
As we know, the formula for the shortest distance between the line and a point:
D = |ax + bx + c|/√(a²+b²)
Plug x = 0 and y = 0
a = 2, b = -1, and c = 4
D = |2(0) + -1(0) + 4|/√(2²+(-1)²)
D = 4/√5
D = 1,78 ≈ 1.8 units
Thus, the shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.
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Shanice won 88 pieces of gum playing the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 8 remaining. How many students are in her class?
Equation:
Answer:
Steps to solve:
Answer:
20
Step-by-step explanation:
88 divided by 4 = 22, She gave 4 gums to each student, 8 divided by 4 = 2.
22 - 2 = 20
A. Decide whether the given examples illustrate a constant or a variable.
1. Number of family members in each house
2. Amount of money in the bank every month
3. Number of seconds in a minute
4. Weekly expenses of groceries
5. Number of years in a millennium.
Asynchronous task on introduction to algebraic expressions
B. Make your own algebraic expressions based on the given conditions.
1. A variable
2. A combination of any number and any variable related by exponentiation.
3. A combination of any two variables related by subtraction.
4. A combination of any number and any three variables related by multiplication.
pls answer and help me..
Answer:
a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary
Two angles are supplementary. The measure
of one angle is 9º more than twice the measure
of the other angle. What is the measure of the
smaller angle?
Answer:
57°
Step-by-step explanation:
Let's assume the measurement of the second angle is x.
so, following the problem
(2x + 9) + x = 180
2x + x = 3x
=> 3x + 9 = 180
=> 3x = 180 - 9
3x = 171
x = 171/3
x = 57°
57° is the smallest angle
Im doing an extra credit assignment and I need someone to help me solve by substitution method
y=x+3
y=2x+5
Answer:
(-2,1)
Step-by-step explanation:
that is where the two graphs intersect
Find the zeros of quadratic equation X^2 - 3x + 9 = 5x - 10
x^2 - 3x + 9 - 5x + 10 = 0
x^2 - 8x + 19 = 0
[tex]x^{2} -3x+9=5x-10 <=> x^{2} -3x-5x+9+10=0\\<=>x^{2} -8x+19=0 <=>x^{2} -2.4+16+3=0\\<=>(x-4)^2+3=0[/tex]
ok done. Thank to me :>
find the values of x and y ????
show step plz
Answer:
x= 90 degrees
y= 47 degrees
Step-by-step explanation:
Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.
So with this information, you know that the angle at the bottom left is also 47 degrees.
x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).
A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.
90+47+y=180
y= 43
[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]
First we can say [tex]x=90[/tex]°, since x is located at the right angle part.
Now we can make an equation
[tex]90+47+y=180[/tex]
subtract 137 from sides.
[tex]y=43[/tex]
_________________________________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
[tex]x=90[/tex]° [tex]y=43[/tex]°_________________________________
solve for c. 3c+2=-10 and thank you
Answer:
c= -4
Step-by-step explanation:
Given that:.3c+2 = -10
⇛ 3c = -10 - 2
⇛3c = -12
⇛c = -12:3 = -12/3
.°. c = -4 Ans .
what is the answer to the equation -7x-3x+2= -8x - 8
Answer:
x=5
Step-by-step explanation:
-7x-3x+2= -8x - 8
Add like terms
-7x-3x=-10x
-10x+2=-8x-8
+8x +8x
-2x+2=-8
-2 -2
-2x=-10
Divide by -2 to isolate the variable
x=5
Answer:
x = 5Step-by-step explanation:
what is the answer to the equation
-7x - 3x + 2= -8x - 8
-7x - 3x + 8x = -10
2x = -10
x = 5
----------------------
check
-7 * 5 - 3 * 5 + 2 = -8 * 5 - 8
-48 = -48
the answer is good
The other option is 32
Answer:
32
Hope you could get an idea from here.
Doubt clarification - use comment section.
The thickness of a grain of pepper is 2.3 x 10-2 inches. How many inches are 100 grains of pepper? Express your answer in scientific notation.
Answer:
230.0 x 1000-200
Step-by-step explanation:
Since one grain of pepper is 2.3x10-2 100 would be 100 times that.
What is the sum of -6 and 9?
Answer:
3
Step-by-step explanation:
-6+9=3
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.
Equivalent equations are equations of equal values
The system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
The logarithmic equation is given as:
[tex]\log_4(x^3) = \log_2(2x)[/tex]
Split the above equation as follows:
[tex]y = \log_4(x^3)[/tex]
[tex]y= \log_2(2x)[/tex]
Rewrite [tex]y = \log_4(x^3)[/tex] as:
[tex]y=3\log_4(x)[/tex]
Hence, the system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
Read more about systems of equations at:
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You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem.
Answer:
P = $250
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = Prt
12 = P(.032)(1.5)
12 = .048P
12/.048 = P
P = 250
Write an equation in slope-intercept form of the line that passes through (1,-9) and (3,-7)
Answer:
Y= x-10
Step-by-step explanation:
M= Y2-Y1/X2-X1
= -7-(-9)/3-1
= 2/2
= 1
sub x=1 and y=-9 into Y=MX + C
-9=1+C
-9-1=1+C-1
C=-10
A donut shop made 50 donuts. They put frosting on 2 of the donuts. What is the ratio of the
number of donuts with frosting to the number of donuts without frosting?
50:48
2:48
50:2
2:4
Submit
Answer:
50-2
Step-by-step explanation:
there is 50 donuts and 2 that are frosted :)
Step-by-step explanation:
2 have frosting, therefore 50-2 = 48 don't.
so, the ratio is for frosting vs. non-frosting
2 : 48 (which would be also 1 : 24).
) It took 2 pumps 6 hours to pump the water out of a pond. How long would it take if 3 pumps
were used?
Answer:
it would take 2 hours with 3 pumps
Step-by-step explanation:
hope this helps! :D
= 259.84 −168.789what is the answer
Answer:
91.051
Step-by-step explanation:
259.840
- 168.789
---------------
091.051
----------------
as a Given the function f(x) = - 3x + 2 then what is - 2f * (x) as a simplified polynomial ?
Answer: 6x - 4
Step-by-step explanation: -2*f(x) = -2 * (-3x+2) = (-2*-3x) + (-2*2) = 6x + (-4) = 6x - 4
Suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, remove it from the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble? The multiplication rule says to use P(red) P(blue).
Question: Describe the process of finding the probability of finding a red marble followed by a blue marble if the first marble was permanently removed?
Answer:
that is dependent event when you are taking out first marble permanently
Brian had $40 in his savings account in January. He continued to add money to his account and by June, the value of the savings account had increased by 50%. How much money is in Brian's account in June?
Answer:
Well the answer is
Step-by-step explanation:
GET YO BUTT OFF THIS APP AND ACTUALLY READ A MATHS BOOK
What is the slope??
(The bottom one says : (1, 1)
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (â€""3 i) (18 5i)? (â€""3 i) (18 5i) 0 â€""3 (i 18) 5i (â€""3 18) (i 5i) â€""(3 â€"" i) (18 5i).
The expression that demonstrates the use of the commutative property is
(-1 + 18) + (3i + 5i)
Give two integers A and B, according to the commutative law of addition;
A + B = B+ AThe arrangement of the integers does not affect the sum.Given the expression (-1+3i) + (18+5i)
The expression that demonstrates the use of the commutative property of addition in the first step of simplifying the expression is given as:
(-1+3i) + (18+5i)
-1 + 3i + 18 + 5i
(-1 + 18) + (3i + 5i)
We can see that the rearrangement does not affect the sum. Hence the expression that demonstrates the use of the commutative property is
(-1 + 18) + (3i + 5i)
Learn more on commutative property here: https://brainly.com/question/778086
What happens in the inequality when we multiply or divide by a negative number?
Answer:
The inequality flips.
It can go from
> to <
and vice versa
Which statement is true
Can someone help me with this problem plz
Answer:
mq - 12
ql - 36
Step-by-step explanation:
I am not for sure but this is what I think it is because the m-q is smaller than the q-l