Answer:
5.7%
Step-by-step explanation:
421-367=24
24/421x100=5.7%
what is -7/9 x -2/3 in simplest form
Answer:
heres my fake account and name
Step-by-step explanation:
Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle of apple juice. Due to the nature of the process and contractual agreements, Calvin’s facility must make and sell three jars of applesauce for every two bottles of apple juice. A jar of applesauce sells for $2. 20, and a bottle of apple juice sells for $3. 15. If the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? Round to the nearest whole bottle, if necessary. A. 38,789 b. 77,579 c. 116,368 d. 167,500.
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
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a local factory has to add a liquid ingredient to make there product at a rate of 13 quarts every 5 minutes. how many gallons per hour of the ingredient do they need to add
Per hour, they would need to add 147 quarts of the liquid ingredient. When converting to gallons, every 4 quarts is one gallon, so we need to divide 147 by 4.
36.75 Gallons Per Hour
They need to add 39 gallons of ingredients to make the production they desire.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 4 quarts are one gallon.
∴ They would be making (13/4) = 3.35 gallons every 5 minutes Or (3.25/5) = 0.65 gallons per minute.
∴ In an hour or 60 minutes, they would be making (0.65×6) = 39 gallons per hour.
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need assistance with algebra 2
Answer:
A. Quadratic, degree 2
Step-by-step explanation:
The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.
2 2/5 - 1 1/3 + 3 1/2
Answer: 4 17/30
Step-by-step explanation:
2 2/5 - 1 1/3 + 3 1/2
(2 12/30 - 1 10/30) + 3 15/30
1 2/30 + 3 15/30 = 4 17/30
Have a nice day, and if you could be so nice as to give me a brainliest
A bag with 12 marbles has 4 red marbles , 3 yellow Marbles ,5 blue marbles. A Marble is chosen from the bag at random . What is the probability that is not red
Answer:
2/3
Step-by-step explanation:
The answer is simple; the number of non-red marbles over the number of total marbles.
14.06 as a mixed number
14 3/50
Good luck with the rest... I highly reccomend using Math way (spell it together)
1 A recipe uses 1 - cups of milk to make 10 servings. If the same amount of milk is used each serving, how many servings can be made using 1 gallon of milk? Show your work
Answer:
160 servings
Step-by-step explanation:
Step One:
1 gallon=16 cups
1 cup=10 servings
Step Two:
Multiply 16 by 10
which gives you your answer 160
If EC $2.50 is equivalent to US $1.00, then EC $20.00 in Us dollars is
Answer:
22.54$
Step-by-step explanation:
There is a calculator for this
Answer:
EC$20.00 is equivalent to $7.40 US dollars
Step-by-step explanation:
how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x
this equation is error because of -7and 4y two this is not have + or - that's why
i NEED help pleaseee
can someone explain to me what this means
Answer:
2*2*2*3*5
Step-by-step explanation:
It is saying that 120 is the same as 24*5, and that 24* 5 is the same as 5 *2*12, which is that same as 5*2*3*4, which is then the same as 5*2*3*2*2.
Answer:
2 x 2 x 2 x 3 x 5
Step-by-step explanation:
Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent $262 to
buy 28 student tickets and 4 adult tickets for her class. Mr. White spent $191 for 22 student
tickets and 2 adult tickets for his class.
The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.
Based on the information given, the equations to solve the question will be:
28s + 4a = 262 ....... i
22s + 2a = 191 ....... ii
Multiply equation i by 2
Multiply equation ii by 4
56s + 8a = 524
88s + 8a = 764
Subtract the equations above
32s = 240
s = 240/32 = 7.5
Student's tickets = $7.5
Adult's ticket will be:
22s + 2a = 191 .
22(7.5) + 2a = 191
165 + 2a = 191
2a = 191 - 165
2a = 26
a = 26/2 = 13
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Dress:$35.99 tax:6.75%
Answer:
38.14 but if rounded up it becomes 38.15
What is the length of side a?
Thank u
ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Answer:
20.
Step-by-step explanation:
We need to setup a proportion. We want the result to be 40% out of 50, meaning that we are solving for x:
4/10=x/50.
Cross-multiplying, we have 200 = 10x, and x = 20.
Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y = - x + 5; y = - x - 3; y = x + 2 None of these choices are correct
Answer:
there y= -x - 3 is correct
Step-by-step explanation:
(-4,1) ; (-3,0)
y= -x - 3
with (-4,1)
1 = -(-4) - 3 = 4 - 3 = 1. left = right
with (-3,0)
0 = -(-3) - 3 = 3 - 3 = 0. left = right
so the line y = -x - 3 is passes through points (-4,1) and (-3,0)
309 g to 299 g increase or decrease
Im pretty sure It would be a decrease
HELLPPP
I need help asappp
Answer:
(8,5)
Step-by-step explanation:
x=8
5*8-2y=30
40-2y=30 . subtract 40 from both sides
-2y=-10 . divide both sides by-2
y=5
Lindsay borrowed ₱120,000 in a bank for a year. If she paid ₱139,290.54 on the maturity date, at what rate of interest, compounded monthly, did she pay?
She paid the loan at a 15% rate of interest.
Given that Lindsay borrowed $ 120,000 in a bank for a year, if she paid $ 139,290.54 on the maturity date, to determine at what rate of interest, compounded monthly, did she pay, the following calculation must be performed:
120,000 x (1 + X / 12) ^ 12 = 139,290.54 (1 + X / 12) ^ 12 = 139,290.54 / 120,000 1 + X / 12 = 12√1.1607545 X / 12 = 1,012 - 1 X = 15
Therefore, she paid the loan at a 15% rate of interest.
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Which of these four sets of side lengths will form a right triangle?
Find the value of x and then identify the measure of each of the angles.
Answer:
x = 21
Upper angle has a measure of 69°
Lower angle has a measure of 21°
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
A right angle has a measure of 90 degrees.
This means that (x + 48) + x must equal 90
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
x + 48 + x = 90
combine like terms
2x + 48 = 90
subtract 48 from both sides
2x = 42
divide both sides by 2
x = 21
We then plug in x to find the measures of the angles
x + 48
x = 21
21 + 48
= 69
The other angle simply equals 21°
Answer:
x = 21°
(x + 48°) = 69=
Step-by-step explanation:
x + 48° + x = 90°
2x +48° = 90° Subtract 48° in both sides
2x = 42° Divide both sides by 2:
x = 21°
Help ! Aanswer ! Read the direction and answer with proof ! I'll give brainliest to whose right.
Answer:
x > 14 ; x < 12
Step-by-step explanation:
Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14
Area < 138, so that means 3*(4x-2) < 138, so x < 12
x - 3y = 17
x = 2y + 13
What are the steps for solving these?
Answer:
(x, y) = (5, -4)
Step-by-step explanation:
The second equation gives you an expression for x that can be substituted into the first equation.
(2y +13) -3y = 17 . . substitute for x in the first equation
-y = 4 . . . . . . . . . . . subtract 13 and simplify
y = -4
x = 2(-4) +13 = 5 . . . use the second equation to find the value of x
The solution is (x, y) = (5, -4).
_____
Additional comment
When faced with a system of linear equations, the first step is to look at them and observe where the variable terms are, and any relationships between coefficients. Several options are generally open to you for solving the equations. Methods generally taught first are ...
substitutioneliminationSubstitution is handy when one of the variables or variable terms can be written (easily) in terms of the other variable. Elimination is handy when some simple multiple of one of the equations can be added to the other equation to cancel one of the variable terms (eliminate it).
Other available methods include matrix methods, Cramer's rule, and graphing. Working knowledge of all of these methods will help you identify the one that will be easiest to use in any given situation.
The availability of calculators able to use these methods greatly simplifies the task of finding a solution. It is simply a matter of entering the equations in the appropriate form.
One of my favorites is the graphing calculator, which only requires you type in the given equations and click on the solution point to find its coordinates.
Ahem please some help please
[tex]4 \div 0.5[/tex]
what value is equivalent to -30-2^3*3
- 30 - 2³ × 3
= - 30 - 8 × 3
= - 30 - 24
= - 54
Follow the order of PEMDAS.
P =》Parenthesis
E =》Exponents
M =》Multiplication
D =》Division
A =》Addition
S =》Subtraction
____
Hope it helps ⚜
How do you rewrite 7x3+7x5
If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]
How would you find the slope and the y-intercept for the equation y=2.50x+2.50?
Answer:
Slope = m = 2.50
Y-intercept = b = 2.50
Step-by-step explanation:
Given equation is:
[tex]y=2.50x+2.50[/tex]
Comparing it with slope-intercept form of equation [tex]y = mx+b[/tex], where m is slope and b is y-intercept, we get:
Slope = m = 2.50
Y-intercept = b = 2.50
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807PLEASE ANSWER!!!!!!!!!! I'LL GIVE BRAIN !!!!!!!!!!!!!!!!!!!!!! A _______ is a ratio that compares two things with different units of measurement.
rate
coordinate
cross
unit
Answer:
RATE
Step-by-step explanation:
Answer:
A. Rate
Step-by-step explanation:
A rate is an example of comparing two different units of measure. For example, miles per hour is a rate because it compares miles, which is a unit of distance, to hours, which is a unit of time.
Hope this helps.
Find the slope of the line that passes through (-39, -32) and (-40, 41). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: The answer is that the slope is 9.