Answers
Answer: x=-3
Step-by-step explanation: Linear function of -3. This is because you subtract by 3 from f to g each time.
Related Questions
14. The maximum capacity for seating in a theater is 500 people. The theater sells two types of tickets, adult tickets for $7.25 each and child tickets for $4 each. If they sold out on a certain showtime and made a total of $3,157 in ticket sales, how many of each types of tickets was sold out that showtime?
Answers
Step-by-step explanation:
set x as the number of the adults in the show
500-x - number of children
(500-x)×4+7.25x=3157
2000-4x+7.25x=3157
3.25x=1157
3×1/4x=1157
13/4x=1157/×4
13x=4628/÷13
x=356
356 adult tickets was sold out.
500-356=144
144 child tickets was sold out.
Answer:
Adult tickets sold = 356
Child tickets sold = 144
Step-by-step explanation:
Given information:
Maximum number of seats = 500Cost of adult ticket = $7.25Cost of child ticket = $4Total revenue of sold-out show = $3,157Define the variables:
Let x = the number of adult tickets sold.Let y = the number of child tickets sold.Create two equations from the given information:
[tex]\textsf{Equation 1}: \quad x + y = 500[/tex]
[tex]\textsf{Equation 2}: \quad 7.25x+4y=3157[/tex]
Rewrite Equation 1 to make y the subject:
[tex]\implies y=500-x[/tex]
Substitute this into Equation 2 and solve for x:
[tex]\implies 7.25x+4(500-x)=3157[/tex]
[tex]\implies 7.25x+2000-4x=3157[/tex]
[tex]\implies 3.25x+2000=3157[/tex]
[tex]\implies 3.25x=1157[/tex]
[tex]\implies x=356[/tex]
Substitute the found value of x into the rewritten form of Equation 1 and solve for y:
[tex]\implies y=500-356[/tex]
[tex]\implies y=144[/tex]
Solution
Adult tickets sold = 356Child tickets sold = 144Learn more about systems of equations here:
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Classify each of the following statements as true or false. If false, tell why. a. 5 is a divisor of 20. b. 10 is a multiple of 20.
Answers
Answer:
Yes; no
Step-by-step explanation:
a. If we divide 20 by 5, we get 4. Meaning, both 4 and 5 are divisors of 20.
b. 10 is not a multiple of 20; The multiples of 20 are 20, 40, 60, 80, 100, 120, 140, etc. Multiples only go upwards not down. Nothing plus 20 is equal to 10 therefore 10 is not a multiple of 20. 20 is a multiple of 10 though.
how to increase the accuracy of simpson rule and maclaurin series expansion respectively?
Answers
Because it matches a parabola to the curve rather than a straight line, Simpson's rule is more precise.
The other approaches are only accurate for functions whose graphs are linear, whereas Simpson's rule yields the exact area beneath the graphs of functions of degree two or less (parabolas and straight lines).Why is trapezoidal less accurate than Simpson's rule?
When the underlying function is smooth, Simpson's Rule is more accurate than the trapezoidal rule because it employs quadratic approximations rather than linear ones. In cases where there are an odd number of evenly spaced points, the formula is typically provided.What are Simpson's rule's restrictions?
It is obviously incorrect because the actual integral will always differ from it (except in some cases, such as the area under straight lines). Integrals, unlike Simpson's technique, allow you to obtain precise results in terms of basic constants.Learn more about Simpson's Rule
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How is it similar and how is it different?
Answers
Using the intersection operation between two data-sets, it is found that the graph of x > a and x < b is similar to the graph of x > a for a < x < b and different for x > b.
What is the result of the intersection operation between two data-set?The result of the intersection operation between two data-set is the set that contains elements that belong to both sets.
For this problem, we have that a is to the left of b, as a < b, hence:
a is plotted before b on the number line.The intersection between the operations x > a and x < b is the following interval: a < x < b.Hence:
The graph of x > a and x < b is similar to the graph of x > a for a < x < b and different for x > b.
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What is the answer to Simplify 2x³ x 5x²
Answers
Answer:
Your answer is [tex]2x^{10}[/tex].
Step-by-step explanation:
Find the sum: 1.23 + 4.99.
Answers
Answer: 4.113
Step-by-step explanation: so like 1 goes into 4 4 times and then 2 dont go inna 9 so you got 11 because if you cant go down u goin up and then da three go into nine evenly so like i hope you fail
Answer:
6.22
Step-by-step explanation:
1.23 + 4.99 is equal to 6.22.
(If adding decimals is a harder concept for you, just ignore the decimal point and add normally.)
Hope this helped!
(ratings and voting brainliest always help)
Write 53/16 as a decimal.
Answers
Answer:
3.3125
Step-by-step explanation:
53/16 is the same as 53 ÷ 16 =3.3125
Han ran 1/4 the length of his road,which is 7 miles long how far did han run?
Answers
Han ran 1.75 miles
because 25% of 7 is 1.75
Use the table to write an expression that shows how many total baskets the Cavaliers made during the season. Simplify the expression.
Answers
The expression that shows how many total basket the Cavaliers made during the season is 1978+f
The total number of free throws = 1484
The number of two point field goals = f
The number of 3 point field goals = 494
Total number of basket Cavaliers made during the season = Number of free throws + Number of two point goals + Number of three point field goals
Substitute the values in the equation
Total number of basket Cavaliers made during the season= 1484 + f +494
Add them together
1484+ f +494= 1978+f
Hence, the expression that shows how many total basket the Cavaliers made during the season is 1978+f
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how to do universal math by hands
Answers
Answer:
find the profound of life by your ethernal soul
-x = 7x -56
pls i need anwer
Answers
-8x = -56
x=7
Which of the following are solutions to the quadratic equation below? Check all that apply. X^2+16=2
Answers
Step-by-step explanation:
x²+16=2
x²+16-2=0
x²+14=0
x²=-14
x=√-14=7i
Write 0.0000629 in scientific notation
Answers
Answer:
6.29 × 10^-5
Step-by-step explanation:
0.0000629
The number part of the answer is 6.29
To go from 0.0000629 to 6.29, the decimal point needs to move 5 places to the right, so the exponent on the 10 must be -5.
0.0000629 = 6.29 × 10^-5
Answer: 6.29*10^(-5)
Step-by-step explanation:
0.0000629=
0.629*10^(-4)= ==> there are 4 zeros before the decimal point.
6.29*10^(-(4+1))=6.29*10^(-5)
What is the standard unit of temperature? What can be used to measure temperature?
Answers
Answer:
Kelvin, thermometer
Step-by-step explanation:
Unit: kelvin
Measure temperature: thermometer
greatest common factor of 2a and 4ab
Answers
Answer: GCF: 2a
Step-by-step explanation:
In order to find the factors, we need to list the prime factorization of 2a and 4ab, assuming a and b are prime numbers.
2a: 2*a
4ab: 2*2*a*b
Notice any common factors?
GCF: 2*a=2a
GCF: 2a
Please, I will mark brainliest.
Answers
Answer: RS=2.4
Step-by-step explanation:
QR=RS ==> R is the midpoint of QS, so the distance from point R and point Q is equal to the distance from point R and point S.
7x-6=2x
7x=2x+6
5x=6
x=6/5
x=1.2
RS=2x
RS=2(1.2)
RS=2.4
20 10 12 13 4 1 5 0 19
Place for min , med, mode etc
Answers
What is the decimal equivalent of each rational number? a. ___9/11 b. __4/5 c. ___-17/5 d. __5/9
Answers
what is the range of d
Answers
Answer:
A
Step-by-step explanation:
Range is on the y-axis, therefore, it would be from -1 to 5.
There are 15 triangles and 6 circles. What is the simplest ratio of circles to triangles?
Answers
Answer:
2:5, 2/5, 2 to 5
Step-by-step explanation:
The ratio is 6 to 15, but you can simplify that to 2 to 5.
25 pts - 37.5 if brainliest
Find the equation of the trend line (line of best fit)
Answers
Based on the given points on the graph, the equation for the line of best fit or the trend line is y = 1.874x + 3.656
What is the trend line?Due to the fact that the points on the graph are not on a straight line, the least squares method can be used to find the line of best fit equation.
Using a linear regression calculator, you can find the equation of the trend line by inputting the values of y and x in the graph.
When run through a linear regression calculator, the result will be:
y = 1.874x + 3.656
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Question 9 of 20
The police department of a city with a population of 150,000 wants to know
how many residents wear their seatbelts regularly. Which sample size would
make the study most reliable?
OA 150
OB. 1500
OC.5
D. 15
Answers
The sample size that would make the study on the residents that wear seatbelts regularly most reliable is B. 1,500.
Which sample size is more reliable?When creating samples, there is a general rule that the higher the sample size, the more reliable the study is.
This is because a larger sample size is more likely to capture the characteristics of the population it is based on.
The most reliable sample size here is therefore 1,500 people.
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K
The amount of oil imported to Country A from Country B in millions of barrels per day can be approximated by the equation y=0.051x+1.38, where x is the number of years since 1970. Solve this equation for x. Use the new equation to determine in which year the approximate number of oil barrels imported from Country B per day will be 1.89 million.
First, solve the equation for x.
Answers
algebraic equation solving x, we concluded that In the year 1980 the approximate number of oil barrels imported from Country B per day will be 1.89 million.
What exactly is a mathematical linear equation?An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Given the equation is :y=0.051x+1.38
Let us put y = 1.89
1.89 = 0.051x + 1.38
⇒ x = 0.51/0.051
⇒ x = 10
After ten years, 1.89 million oil barrels per day will be roughly imported from Country B.
Around 1.89 million oil barrels per day would be imported from Country B in the year 1980.
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On January 1, Year 1, Jana started a small flower merchandising business that she named Jana’s Flowers. The company experienced the following events during the first year of operation: Started the business by issuing common stock for $43,000 cash. Paid $28,000 cash to purchase inventory. Sold merchandise that cost $20,000 for $42,000 on account. Collected $37,000 cash from accounts receivable. Paid $9,800 for operating expenses. Required a. Organize ledger accounts under an accounting equation and record the events in the accounts. In the last column of the table, provide appropriate account titles for the Retained Earnings amounts. b-1. Prepare an income statement. b-2. Prepare a balance sheet. b-3. Prepare a statement of cash flows. c. Since Jana sold inventory for $42,000, she will be able to recover more than half of the $43,000 she invested in the stock. Do you agree with this statement?
Answers
a) The organization of ledger accounts under an accounting equation and journal entries are as follows:
Accounting Equation:Assets = Liabilities + Equity
Cash + Inventory + A/Receivable C.Stock R/Earnings
1. $43,000 $43,000
2. -28,000 $28,000
3. $42,000 42,000 S/Revenue
4. -20,000 -20,000 COGS
5. 37,000 -37,000
6. -9,800 -9,800 Op Exp.
Bal. $42,200 $8,000 $5,000 $43,000 $12,200
Journal Entries:Debit Cash $43,000
Credit Common Stock $43,000
Debit Inventory $28,000
Credit Cash $28,000
Debit Accounts Receivable $42,000
Credit Sales Revenue $42,000
Debit Cost of goods sold $20,000
Credit Inventory $20,000
Debit Cash $37,000
Credit Accounts Receivable $37,000
Debit Operating expenses $9,800
Credit Cash $9,800
b1)
Jana's Flowers
Income StatementFor the year ended December 31, Year 1
Sales Revenue $42,000
Cost of goods sold $20,000
Gross profit $22,000
Operating expenses $9,800
Net income $12,200
b2) Jana's Flowers
Balance SheetDecember 31, Year 1
Cash $42,200
Accounts Receivable $5,000
Inventory $8,000
Total assets $55,200
Common Stock $43,000
Retained Earnings 12,200
Total equity $55,200
b3) Jana's Flowers
Statement of Cash FlowsFor the year ended December 31, Year 1
Net income $12,200
Changes in working capital:
Accounts Receivable (5,000)
Inventory (8,000)
Operating cash flow ($800)
Financing activities:
Common Stock $43,000
Cash flows $42,200
c) I do not agree with this statement. It does not necessarily flow that Jana selling $42,000 in goods will be able to recover more than half of the $43,000 she invested in her business. So far, she has made $12,200 from her investment.
Data Analysis:Cash $43,000 Common Stock $43,000
Inventory $28,000 cash $28,000
Accounts Receivable $42,000 Sales Revenue $42,000
Cost of goods sold $20,000 Inventory $20,000
Cash $37,000 Accounts Receivable $37,000
Operating expenses $9,800 Cash $9,800
Thus, it will take time for Jana to recover her investment in the business.
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Me deben el 20% de 18700 y me pagan el 15% de 900 cuánto me deben aún?
Answers
Answer:
3
Step-by-step explanation:
3(−5.8 + w) = 22.62 what dose the W =
w = −1.3
w = 1.3
w = 5.6
w = 13.34
Answers
Answer:
d. w=13.34
Step-by-step explanation:
The value of w is 13.34 for the given equation. The correct answer is option D.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
The equation is given as follows:
3(−5.8 + w) = 22.62
First, we distribute the 3 on the left side of the equation:
-17.4 + 3w = 22.62
Next, we isolate the variable by adding 17.4 to both sides of the equation:
-17.4 + 3w + 17.4 = 22.62 + 17.4
3w = 40.02
Finally, we solve for w by dividing both sides of the equation by 3:
w = 13.34
Therefore, the value of w is 13.34, so the answer is option D.
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A 61 in. wood plank is cut into 3 pieces. The longest piece is 5 times the length of the smallest piece. The medium piece
less than 2 times the length of the smallest.
1. If z represents the length of the smallest piece, write the expression that represents the medium size piece.
2. Write an equation to show that length of all the pieces together equal to the total length of 61 inches.
3. What is the length of each piece of wood? Explain how you know you are correct.
Answers
The length of the smallest, medium and the longest piece of wood are 7.625, 15.25 and 38.125 inches.
How to represent expressions?The wood is 61 inches and it is divide into 3 pieces.
The longest piece is 5 times the length of the smallest piece.
The medium piece less than 2 times the length of the smallest.
let
z = length of the smallest piece of wood
longest piece = 5z
medium piece = 2z
The equation to represent the total piece together is equal to 61 inches.
z + 5z + 2z = 61
Therefore, the length of each wood piece can be calculated as follows:
z + 5z + 2z = 61
8z = 61
z = 61 / 8
z = 7.625 inches
longest piece = 5(7.625) = 38.125 inches
medium piece = 2(7.625) = 15.25 inches
Therefore, the length of the smallest, medium and the longest piece of wood are 7.625, 15.25 and 38.125 inches.
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find the area of the circle
Answers
Answer:
113.04 square feet
Step-by-step explanation:
A = π[tex]r^{2}[/tex]
A = π [tex](6[/tex][tex])^{2}[/tex]
A = 3.14 (36)
A = 113.04
square root of 72/98
Answers
Answer:√78= 8.9 √98= 9.9
Step-by-step explanation:
Answer:
6/7
Step-by-step explanation:
So first, we can simplify 72/98. If we divide both the numerator and denominator by 2, to get a simplified fraction. So we need to solve 72/2 and 98/2. 72/2 = 36 and 98/2 = 49 So now we have a simplified fraction. So now, we are left with the square root of 36/49, and we apply the radical rule. So now we have simplified radicals that make things easier. The square root of 36 is 6, while the square root of 49 is 7. This is because 36 can be broken down into factors of 6 and 6, so like 6^2 = 36. So square root of 36 is 6. While 49 can be broken down as 7 and 7, so like 7^2 = 49, so square root of 49 is 7. Therefore our answer is 6/7.
I hope this helps, have a blessed day!
certain grocery store charges a fee of 3% of the total bill to have groceries delivered. What is the total price the store charges to deliver $140 worth of groceries?
Answers
The total price the store charges to deliver $140 worth of groceries will be $4.20.
How to calculate the percentage?It should be noted that the certain grocery store charges a fee of 3% of the total bill to have groceries delivered.
Therefore, the total price the store charges to deliver $140 worth of groceries will be:
= Percentage charged × Cost
= 3% × $140
= 0.03 × $140
= $4.20
The amount charged is $4.20.
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