Fabian can make approximately 0.673 batches of soup with the tomatoes he harvested. Since you can't make part of a batch of soup.
What is equation ?
An equation is a mathematical statement that shows the equality between two expressions. It typically consists of variables, constants, and mathematical operators such as addition, subtraction, multiplication, and division. An equation can be used to solve for the value of an unknown variable by manipulating the expression until the variable is isolated on one side of the equation.
For example, the equation "2x + 3 = 7" shows that the expression "2x + 3" is equal to the constant "7". To solve for the value of x, we can start by subtracting 3 from both sides of the equation:
2x + 3 - 3 = 7 - 3
Simplifying:
2x = 4
Then, we can divide both sides by 2:
2x/2 = 4/2
Simplifying:
x = 2
Therefore, the solution to the equation is x = 2.
To solve the problem, we can use the equation:
10 - 2.8 + 22X = 22
Where X is the number of batches of soup Fabian can make.
First, we subtract the 2.8 pounds of tomatoes set aside for spaghetti sauce from the 10 pounds Fabian harvested:
10 - 2.8 = 7.2
Then we simplify the equation:
7.2 + 22X = 22
Subtracting 7.2 from both sides:
22X = 14.8
Dividing both sides by 22:
X ≈ 0.673
Therefore, Fabian can make approximately 0.673 batches of soup with the tomatoes he harvested. Since you can't make part of a batch of soup, the answer should be rounded down to the nearest whole number. Therefore, Fabian can make 0 batches of soup with the tomatoes he harvested.
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Fanning Modems, Inc. Makes modem cards that are used in notebook computers. The company completed the following transactions during year 1. All purchases and sales were made with cash.
Acquired $800,000 of cash from the owners.
Purchased $295,000 of manufacturing equipment. The equipment has a $35,000 salvage value and a four-year useful life. Label the purchase of the equipment as Event 2a and the recognition of depreciation as Event 2b.
The company started and completed 5,500 modems. Direct materials purchased and used amounted to $45 per unit.
Direct labor costs amounted to $30 per unit.
The cost of manufacturing supplies purchased and used amounted to $9 per unit.
The company paid $55,000 to rent the manufacturing facility.
Fanning sold all 5,500 units at a cash price of $145 per unit. Label the recognition of the sale as Event 7a and the cost of goods sold as Event 7b. (Hint: It will be necessary to determine the manufacturing costs in order to record the cost of goods sold. )
The sales staff was paid a $8. 50 per unit sales commission.
Paid $44,000 to purchase equipment for administrative offices. The equipment was expected to have a $3,500 salvage value and a three-year useful life. Label the purchase of the equipment as Event 9a and the recognition of depreciation as Event 9b.
Administrative expenses consisting of office rental and salaries amounted to $74,450.
Prepare a balance sheet. (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount. )
The balance sheet for Fanning Modems, Inc. at the end of year 1 shows total assets of $977,800, no liabilities, and total owner's equity of $967,800.
The balance sheet for Fanning Modems, Inc. can be prepared by recording the transactions and calculating the balances for each account. The balance sheet should include the assets, liabilities, and owner's equity for the company at the end of year 1.
Assets:
Cash: $800,000 (Event 1) - $295,000 (Event 2a) - $247,500 (Event 3) - $165,000 (Event 4) - $49,500 (Event 5) - $55,000 (Event 6) + $797,500 (Event 7a) - $46,750 (Event 8) - $44,000 (Event 9a) - $74,450 (Event 10) = $717,300
Manufacturing Equipment: $295,000 (Event 2a) - $65,000 (Event 2b) = $230,000
Administrative Equipment: $44,000 (Event 9a) - $13,500 (Event 9b) = $30,500
Total Assets: $717,300 + $230,000 + $30,500 = $977,800
Liabilities: None
Owner's Equity:
Contributed Capital: $800,000 (Event 1)
Retained Earnings: $797,500 (Event 7a) - $247,500 (Event 3) - $165,000 (Event 4) - $49,500 (Event 5) - $55,000 (Event 6) - $46,750 (Event 8) - $74,450 (Event 10) - $78,500 (Event 2b) - $13,500 (Event 9b) = $167,800
Total Owner's Equity: $800,000 + $167,800 = $967,800
Balance Sheet:
Assets: $977,800
Liabilities: $0
Owner's Equity: $967,800
The balance sheet for Fanning Modems, Inc. at the end of year 1 shows total assets of $977,800, no liabilities, and total owner's equity of $967,800. The company has a strong financial position with a significant amount of cash and no debt. The owner's equity includes the contributed capital from the owners and the retained earnings from the company's operations during the year.
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If a slope is on the y-axis then it is classified as
Answer:
The y-axis is a vertical.
Step-by-step explanation:
ur welcome
Answer:
It is a vertical
Step-by-step explanation:
It isn't a parallel line since parallel lines have the same slope and vertical lines don't a defined slope.
I hope this helps you!!
Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. state your answer as a list with $x$ first and $y$ second, separated by a comma.
Well, let's use the Euclidean algorithm:
164 = 4×37 + 16
37 = 2×16 + 5
16 = 3×5 + 1
Then working backwards,
1 = 16 - 3×5
1 = 16 - 3×(37 - 2×16) = 7×16 - 3×37
1 = 7×(164 - 4×37) - 3×37 = 7×164 - 31×37
so that x = 7 and y = -31.
5(x + 3) + 3(y + 1)
Please answer! I will mark brainliest to the person that makes more sense!!
5(x + 3) + 3(y + 1)
= 5x + 3y + 18
1)
Which property explains why these two expressions are equal?
-5(x - 4) = -5x + 20
A)
Associative Property
B)
Commutative Property
C)
Distributive Property
D)
Multiplicative Identity Property
Answer:
c) distributive property
Answer:
C (Distributive Property)
Step-by-step explanation:
The distributive property shows that you can use the distributive law, which allows you to rearrange an equation to be simplified
for the quadrant in which the following point is located determine which of the functions are positive (-12,5) cot, tan, cos, csc, sec, sin
The trigonometric functions sine and cosecant have a positive sign.
How to determine the sign of a trigonometric function associated with a vector
In this problem we must determine what trigonometric functions associated with a vector of the form (x, y) have a positive sign. This can be done by computing on each function:
sin θ = y / √(x² + y²)
cos θ = x / √(x² + y²)
tan θ = y / x
cot θ = x / y
sec θ = √(x² + y²) / x
csc θ = √(x² + y²) / y
If we know that x = - 12 and y = 5, then the values of the trigonometric functions are, respectively:
sin θ = 5 / √[(- 12)² + 5²]
sin θ = 5 / 13
cos θ = - 12 / √[(- 12)² + 5²]
cos θ = - 12 / 13
tan θ = - 5 / 12
sec θ = - 13 / 12
csc θ = 13 / 5
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Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Please help I need this by today with steps
Answer:
Q8. (D) 9x²
Q9. (A) \(\frac{5}{17}\)
Q10. (C) 10x²-9x+2
Step-by-step explanation:
Q8. Area of new canvas = (3x)(3x)
= 9x²
Q9. Since F is the midpoint of line XY,
6x = \(\frac{1}{3}\)(x+5)
18x = x+5
17x = 5
∴x = \(\frac{5}{17}\)
Q10. Area of rectangle = (2x-1)(5x-2)
= 10x²-5x+2-4x
= 10x²-9x+2
Specific names for each shape
Three edges and three vertices make up the three-sided polygon known as a triangle. The fact that a triangle's internal angles can be added up to equal 180 degrees is its most significant characteristic.
Explain about the triangle?Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Each side is different, and each angle is less than 90 degrees. Obtuse isosceles: two identical sides and identical angles, with one angle more than 90 degrees.
Shapes with three sides are called triangles. The various triangle varieties go under various names. The dimensions of a triangle's sides and angles determine its type (corners).
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Write the decimal expansion for 4/11
Answer:
0.3636363636
Step-by-step explanation:
Which of the following polynomial functions have the same end behavior? Select all that apply.
A. y=-3-x^4
B. y=-2x^2+9x-3
C. y=-3x+5
D. y=x^3-x^2+7x-4
Find a solution to the system. Make sure to write as a coordinate.
Answer:
x=2, y=3
Step-by-step explanation:
This is a system of equations.
To solve a system of equations, we use the substitution method.
We can plug in the first equation, \(x=2y-4\), into the value for x in the second equation. Now, the second equation looks like this:
\(2*(2y-4)+y=7\)
We simplify and solve for y:
→ \(4y-8+y=7\)
→ \(5y=15\)
→ \(y=3\)
Now, we plug in the value for y, which is 3, into either equation. I will just use the first equation:
→ \(x=2*3-4\)
→ \(x = 2\)
Let me know if my explanation is unclear.
ILL GIVE BRANLIEST HELP ASAP I HAVE 5 MINUTES
Answer:
480 inches cubed
Step-by-step explanation:
2t + 9 + 7
Idk what this isss
Answer:
2t+16
Step-by-step explanation:
this should 2t+16
because 2t contains a variable and there are no available numbers/figits that match up
and 9 +7 is 16
hope i could help
Answer:
2t +16
Step-by-step explanation:
2t + 9 + 7
Combine like terms
2t +16
If there is a bag of 3 blue cubes, 8 red cubes, and 4 yellow cubes and you drew from the bag 360 times, what is the probability of pulling a blue cube.
Answer:
After 360 attempts, there's a 100% probability of picking a blue cube.Step-by-step explanation:
There are 3 blue cubes, 8 ref cubes and 4 yellow cubes, which gives a total of 15 cubes.
Now, if you pick 360 times from the bag, the chances to get a blue cube is 100%, because there's only 15 cubes in total. For trial number 16, you wouldn't have any more cubes.
Therefore, after 360 attempts, there's a 100% probability of picking a blue cube.
what does √
58 fall between
Answer:
If we are speaking rounded to 1 DP, the square root of 58(7.6) falls right between 7.5 and 8
HELP ME PLEASE!!!!
.
.
.
.
.
.
WITH QUESTION A!
Answer:
Cohesion and Adhesion. The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.
Step-by-step explanation:
Cohesion: the water molecules attract each other and are responsible for the surface tension of water.
Adhesion: the water molecule is also able to attract other non-water molecules. This allows water to be able to ‘cling’ to the sides of a capillary tube.
The complementary action of these two forces allows water to rise in a narrow capillary tube such as the xylem tissues of plants.
please let me know if you need a deeper/ more complex explanation, i am always happy to help :)
Pls help me i need help with he answer i been on this question for hours it keeps saying my answer is wrong sooo at this point i really don't know.
Helpppp
Answer:
-100 + x = 40
Step-by-step explanation:
According to the question:
Tyler's original height = -100 feet
Tyler's final height = 40
X to represent change in elevation
As initial + change = final, the equation would be:
-100 + x = 40
Please mark it as brainliest if it helps you!
I wasn't sure about my answer, so used the gauthmath app.
Doug worked out for 256 minutes.
Doug has an enemy named Cathy
Cathy worked out a total of 4 hours and 15 minutes.
Who worked out more? What was the difference in minutes?
Answer:
Step-by-step explanation:
Cathy worked 4 hours.
4 hours = 4 * 60 = 240 minutes
She worked an additional 15 minutes which brings her total up to 255.
Doug worked 1 minute longer than Cathy.
Answer:
a.) Doug worked more. b.)The difference is one minute.
Step-by-step explanation:
CAN BE DONE DIFFERENTLY
Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.
60
x4
240
Now adding the 15 it'll be 255.
DOUG WORKED MORE.
DIFFERENCE IS 1 MINUTE.
Aerabella is planning her sweet 16 and wants to rent a DJ. She has at most $130 to spend.
* The rental of the DJ costs $50 for the day
* The DJ charges 0.75 per song
what is the greatest number of songs she can play at her sweet 16?
Make sure to use whole numbers only.
Using mathematical operations, the greatest number of songs Aerabella can play at her Sweet 16 party is 106.
How is the number determined?The number of songs Aerabella can play is determined by subtracting the fixed charge for the day from her spending budget and dividing the difference by the unit charge per song.
Subtraction and division operations are two of the four basic mathematical operations, including addition and multiplication.
The total spending budget = $130
The fixed rental charge for a DJ = $50
The charge per song (unit rate) = $0.75
The variable cost for the party = $80 ($130 - $50)
The number of songs Aerabella can play = 106.67 ($80 ÷ $0.75)
= 106
Thus, based on the mathematical operations of subtraction and division, and given the fixed cost of hiring a DJ, the highest number of songs Aerabella can play for her Sweet 16 party is 106.
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HELP MEEEE PLEASE i don't know how to do this
Answer:
5 hours
Step-by-step explanation:
35x+25 = 40x
25=5x
x= hours
2.3
Write the ratio in its simplest form:
Convert
2m : 8cm: 40mm
Answer:
2000mm:80mm:40mm
because 1 m is 1000mm and 1 cm is 10 mm so 2m will be 2000 mm and 8cm will be 80 mm
The simplified ratio will be equal to 10 : 40: 2.
What is a ratio?In mathematics, a ratio is a comparison between two quantities or numbers. It is expressed as the quotient or fraction of one number divided by another.
To simplify the ratio of 2m: 8cm: 40mm, we need to convert all the measurements to the same units. One meter is equal to 100 centimeters, so we can convert meters to centimeters by multiplying by 100. One centimeter is equal to 10 millimeters, so we can convert centimeters to millimeters by multiplying by 10.
2m: 8cm: 40mm
= 200cm : 8cm : 40mm (2m = 200cm)
= 200cm : 800mm : 40mm (8cm = 80mm)
= 10 : 40 : 2 (divide all terms by 40 to simplify)
Therefore, the simplified ratio is 10 : 40: 2.
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- Find mZT in the diagram, if mZR = 120° and mZS = 50°.
Answer:
360 - 50 -50 - 120 = 140 degrees
Use the drop-down menus to locate integers on the number line. A B C D 5 -4 3 2 - 1 + 3 4 1 2 5 6 7 B В C < D
Answer:
can you take a picture of it? the format you put it in is confusing.
Answer:
c
Step-by-step explanation:
did it on edge
Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 EndFraction equals 6 x. – x + = 6x by recognizing properties, rather than solving. Check all that apply.
Answer:
A, B, F
Step-by-step explanation:
2/3 - x + 1/6 = 6x
Collect like terms
2/3 + 1/6 = 6x + x
(4+1) / 6 = 7x
5/6 = 7x
x = 5/6 ÷ 7
= 5/6 × 1/7
x = 5/42
a) 4 - 6x + 1 = 36x
4 + 1 = 36x + 6x
5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
b) 5/6 - x = 6x
5/6 = 6x + x
5/6 = 7x
This is equivalent to the third step of the simplification
c) 4 - x + 1 = 6x
4 + 1 = 6x + x
5 = 7x
x = 5/7
Not equivalent to any of the steps in the simplification above
d) 5/6 + x = 6x
5/6 = 6x - x
5/6 = 5x
x = 5/6 ÷ 5
= 5/6 × 1/5
x = 5/30
Not equivalent to any of the steps in the simplification above
e) 5 = 30x
x = 5/30
Not equivalent to any of the steps in the simplification above
f) 5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
Kedwin can watch movies at home in two ways. He can order unlimited online movies for $10 a month. He could also go to the local movie rental store and rent 5 movies for $4.00. The system representing this scenario is graphed below.
How many movies does Kedwin need to rent each month to make the online option a better deal?
a. 10 movies per month
b. 10.40 movies per month
c. 12.5 movies per month
d. 13 movies per month
Answer:
I believe the answer is D.)13 movies per month.
Step-by-step explanation:
Answer:
D. 13 movies per month.
Step-by-step explanation:
helpp asap 59 points
Answer:
A=7
B=10
C=2
D=2
Surface area= 208
Pretty sure this is correct.
Nachelle just accepted a job at a new company where she will make an annual salary of $57000. Nachelle was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Nachelle make as a salary after 4 years working for the company? What would be her salary after tt years?
a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.
b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).
What is the slope-intercept equation?The slope-intercept equation is in the form of y = mx + b.
The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.
Initial starting salary per year = $57,000
Annual raise in salary = $4,000
Period = 4 years
Salary after 4 years = $73,000 [$57,000 + $4,000(4)]
Salary after t years = $57,000 + $4,000(t)
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Which student's table is correct?
O Emily
O Will
O Sarah
O Maria
1.) −5(2x − 21) = 2(x − 4) − 31
x =
2.)Happy Paws charges $20.00 plus $2.50 per hour to keep a dog during the day. Woof Watchers charges $10.00 plus $3.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
The equation is .
The total cost of the services will be equal at hours.
Answer:
1) x = 12
2) Happy: y = 20+2.5h
Woof: y = 10 + 3.75h
Step-by-step explanation: