Q2. James a busser works 8 hours a week shifts at restaurant Whois. What will his daily wage be if he
eams $448 a week?
Daily wage of James is $64.
How to solve word problems?Students should follow these steps to solve any word puzzle:
1. Read the problem: Students should first give the problem a quick once-over.
2. Highlight facts: After reading the issue through one more, students should underline or highlight crucial information, such as crucial numbers or words that indicate an operation.
3. Visualize the issue; you might find it useful to create a picture or a diagram.
By developing pertinent images, students can begin to visualize either simple or more complicated problems.
4. Identify the operation(s): Identify the operations that must be carried out. Is it division, multiplication, or addition?
James earns a total of $448 in a week, and he work 8 hours day.
Let his daily wage be x
As daily wage of James is X
In a week there are 7 days
Therefore, 7×X = $448
X = \(\frac{448}{7} = 64\)
So, daily wage of James is $64.
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The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160\,\dfrac{\text{degrees}}{\text{min}^2}2160 min 2 degrees 2160, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, i, n, end text, squared, end fraction. What is the ride's acceleration rate in \dfrac{\text{degrees}}{\text{s}^2} s 2 degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, squared, end fraction?
Answer:
0.6 deg/s²
Step-by-step explanation:
Acceleration is the time rate of change of velocity, it is the ratio of velocity to time. The formula for acceleration is given by:
Acceleration = Change in velocity / time taken = (Final velocity - Initial velocity) / time
Given that the acceleration is 2160 deg/min², we have to convert it to deg/s²
1 min = 60 seconds
1 min² = 60² s² = 3600 s²
\(2160\ deg/min^2=\frac{2160\ deg}{1\ min^2*3600\ \frac{s^2}{min^2} }=0.6\ deg/s^2\\ \\2160\ deg/min^2=0.6\ deg/s^2\)
Answer:
0.6
Step-by-step explanation:
Suppose you paid $150 for a ticket to see your university’s football team compete in a bowl game. Someone offered to buy your ticket for $400, but you decided to go to the game.
Required:
1. What did it really cost you to see the game?
2. What type of cost is this?
The actual cost to see the game is $150, as that is the amount you paid for the ticket. The cost in this scenario can be considered an opportunity cost. By choosing to attend the game instead of selling the ticket for $400, you forgo the opportunity to earn that additional $400.
In this scenario, the cost of attending the game refers to the actual amount of money you spent on the ticket, which is $150. This is the out-of-pocket expense that directly affects your financial resources.
On the other hand, the opportunity cost is the potential benefit or value that you give up by choosing one option over another. In this case, if you had sold the ticket for $400, you would have received a higher amount of money, which represents the opportunity cost of attending the game. By deciding to go to the game, you forego the opportunity to earn that additional $400.
Opportunity cost is a concept in economics that emphasizes the value of the next best alternative forgone when making a decision. It helps assess the trade-offs involved in different choices and helps in evaluating the true cost of a decision beyond the immediate financial expenses.
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at 0° celsius, the heat loss h (in kilocalories per square meter per hour) from a person's body can be modeled by h
The heat loss H (in kilocalories per square meter per hour) from a person's body at 0° Celsius can be modeled by the function H = 33(10√v - v + 10.45), where v is the wind speed in meters per second. The function is increasing, so as the wind speed increases, the heat loss increases.
The function H = 33(10√v - v + 10.45) is increasing because the coefficient of 10√v is positive. This means that the heat loss increases as the wind speed increases. For example, if the wind speed is 2 meters per second, then the heat loss is 418.93 kilocalories per square meter per hour. If the wind speed increases to 5 meters per second, then the heat loss increases to 574.75 kilocalories per square meter per hour.
The final answer to the question is that the heat loss H from a person's body at 0° Celsius is modeled by the function H = 33(10√v - v + 10.45), where v is the wind speed in meters per second. The function is increasing, so as the wind speed increases, the heat loss increases.
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at the end of 2024, marin co. has accounts receivable of $673,200 and an allowance for doubtful accounts of $24,010. on january 24. 2025, it is learned that the company's receivable from madonna inc. is not collectible and therefore management authorizes a write- off of $4.147.
The write-off of the receivable from Madonna Inc. is a necessary adjustment to ensure the accuracy of Marin Co.'s financial statements. Without it, the company's accounts receivable would be overstated and their financial statements would not provide an accurate portrayal of the company's financial position.
At the end of 2024, Marin Co. had accounts receivable of $673,200 and an allowance for doubtful accounts of $24,010. On January 24th, 2025, it was determined that the company's receivable from Madonna Inc. was not collectible and management authorized a write-off of $4,147. This action reduces the accounts receivable balance by $4,147, and reduces the allowance for doubtful accounts by the same amount. The net effect on the balance sheet is a reduction of $4,147 in both accounts receivable and allowance for doubtful accounts.
The impact of the write-off on the company's financial statements is a decrease in net income for the period. This is because a write-off is recognized as an expense, which reduces the amount of net income reported in the period. The amount of the write-off is recorded as an expense on the income statement. In this case, the amount of the write-off is $4,147.
The journal entry to record the write-off would be: Accounts Receivable 4,147; Allowance for Doubtful Accounts 4,147. This entry reduces the accounts receivable and allowance for doubtful accounts by $4,147. The write-off of $4,147 is recorded as an expense on the income statement, and this reduces the net income reported for the period.
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Use the properties of addition to simplify this expression. 11x+6-4x-2
Answer:
\(7x+4\)
Step-by-step explanation:
1) Collect like terms.
\((11x-4x)+(6-2)\)
2) Simplify.
\(7x+4\)
Thanks!
Answer:
7x + 4
Step-by-step explanation:
11x + 6 -4x -2 Combine like terms
7x + 4
Question 1
What is a counterexample for the conjecture?
If the perimeter of a rectangle is 40 units, the area must be at least 1 square unit.
OA) A square with a side length of 10 units has a perimeter of 40 units and an
area of 100 square units.
OB) A rectangle with length 19.99 units and width 0.01 unit has a perimeter of
40 units and an area of 0.1999 square unit.
OC) A rectangle with length 15 units and width 5 units has a perimeter of 40
units and an area of 75 square units.
OD) A rectangle with length 40 units and width 0.0125 unit has a perimeter of
80.025 units and an area of 0.5 square unit.
The counterexample for the conjecture If the perimeter of a rectangle is 40 units, the area must be at least 1 square unit is: A rectangle with length 19.99 units and width 0.01 unit has a perimeter of 40 units and an area of 0.1999 square unit.
What is counterexample?The term counterexample refers to an instance or example that makes the statement false. This is used in logic to check if a statement is true or not. Counter example tend to counter the statement being discussed with valid points.
The question wants to show the relationship that may exist between perimeter and area of a rectangle.
The counterexample provided the dimensions that gave the perimeter which is 40 but failed to give area of 1 square unit
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a wire is cut into two pieces, one of length and the other of length . the piece of length is bent to form an equilateral triangle, and the piece of length is bent to form a regular hexagon. the triangle and the hexagon have equal area. what is ?
The value of a/b is \(\sqrt{6}\) / 2
What is called mensuration?The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.
What is mensuration in real life?Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.
According to the question:-
Side of an equilateral triangle equals a/3.
Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].
Hexagonal side equals b / 6.
The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2
= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]
So
sqrt (3) / 36 a2 = sqrt (3) / 24 b2
So
A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]
a^2 / b^2 = [ 36 / 24 ]
a^2/ b^2 = 3/2
A/ B = Sqrt(3) / Sqrt(2)
=Sqrt(6) / 2
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Solve for x in this equation: |2.5x – 6.8| = 12.9
i will make you brainliest
Answer:
x= 7.88
Step-by-step explanation:
2.5x - 6.8 = 12.9 add 6.8 to the right side
2.5x = 19.7 divide by 2.5
x = 7.88
1/20 ÷ 5 could someone answer this
The value of the expression is 1/100.
We have,
To solve this expression, we can use the division property of fractions which states that dividing by a fraction is the same as multiplying by its reciprocal.
So, we have:
1/20 ÷ 5
= 1/20 x 1/5 (reciprocal of 5 is 1/5)
= 1/100 (multiply numerator with numerator and denominator with denominator)
Therefore,
The simplified result is 1/100.
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five sisters each bought matching scarves and two pairs of socks. the scarves were priced at $12.00. if the total bill for all 5 sisters was $125.00, what was the price for one pair?
Answer:
It should be $13 for one pair of socks.
Step-by-step explanation:
botany a botanist has a 20% solution and a 70% solution of an insecticide. how much of each must be used to make 4.0 liters of a 35% solution? hide answer
To make 40 liters of a 35% insecticide solution, the botanist should take 28 liters from the 20% solution and 12 liters from 70% solution.
The concentration of a solution indicates the fraction of solute in the solution. Concentration can be expressed in volume per volume or weight per volume. For example 20% v/v means in 100 ml solution there is 20 ml solute.
In the given problem:
solution A = 20%
solution B = 70%
New solution = 35%, volume 40 liters
Let p be the volume taken from the solution A, then the volume taken from the solution B = 40 - p.
Hence,
The amount of solute in the new solution:
20% p + 70% (40 - p) = 35% x 40
0.2 p + 0.7(40 - p) = 0.35 x 40
0.7 p - 0.2 p = 0.7 x 40 - 0.35 x 40
0.5 p = 0.35 x 40
p = 2 x 0.35 x 40 = 28
Hence, the volume taken from solution A = p = 28 liters and from solution B is (40 -28) = 12 liters.
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Mathematics question
try each option and plot the correct one for number 4 and choose, try the one that looks more correct.
What is the equation on the graph?
Please help!!!
Answer:
y = -1/4x + 2
Step-by-step explanation:
using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2
which shows the correct way to convert 5 oz to pounds?
Answer:
The second one.
Step-by-step explanation:
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
Together, Streetcar and Cable Car are the preferred transportation for 27% + 15% = 42% of the 400 residents, which is equal to 0.42 x 400 = 168 residents. Therefore "Together, Cable Car are with equation.
what is equation?
An equation is a mathematical statement that shows that two expressions are equal. has two sides, a left-hand side (LHS) and a right-hand side ), separated by an equal sign (=). The expressions on both sides of the equal sign can be numbers, variables, constants, or a combination of these
In the given question,
From the circle graph, we can conclude that:
Together, Streetcar and Cable Car are the preferred transportation for 27% + 15% = 42% of the 400 residents, which is equal to 0.42 x 400 = 168 residents. Therefore, the statement "Together and Cable Car are the preferred transportation of 168 residents" is true.
Together, Walk and Streetcar are the preferred transportation for 40% + 15% = 55% of the 400 residents, which is equal to 0.55 x 400 = 220 residents. Therefore, the statement "Together Streetcar are the preferred transportation of 55 residents" is false.
Bus is the preferred transportation for 10% of the 400 residents, which is equal to 0.1 x 400 = 40 residents. the statement "Bus is preferred transportation of 45 residents" is false.
Bicycle is the preferred transportation for 8% of the 400 residents, which is equal to 0.08 x 400 = 32 residents. Therefore, statement "Bicycle is preferred transportation for 50 residents" is false.
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Answer: (A)
Step-by-step explanation:
Use the parabola tool to graph the quadratic function
f(x)= -1/2x^2 + 7
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
That's the graph for the function f(x)= -1/2 x^2 + 7
The vertex is f(0) = 7
use the trapezoidal rule and simpson's rule to approximate the value of the definite integral for the given value of n. round your answer to four decimal places and compare the results with the exact value of the definite integral. 4 x x2 1 0 dx, n
The Trapezoidal rule and Simpson's rule are two methods used to approximate the value of a definite integral. The Trapezoidal rule approximates the integral by dividing the region between the lower and upper limits of the integral into n trapezoids, each with a width h. The approximate value of the integral is then calculated as the sum of the areas of the trapezoids. The Simpson's rule is similar, except the region is divided into n/2 trapezoids and then the integral is approximated using the weighted sum of the area of the trapezoids.
For the given integral 4 x x2 1 0 dx, with n = 200, the Trapezoidal rule and Simpson's rule approximate the integral to be 7.4528 and 7.4485 respectively, rounded to four decimal places. The exact value of the integral is 7.4527. The difference between the exact and approximate values is very small, thus indicating that both the Trapezoidal rule and Simpson's rule are accurate approximations.
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PLEASE HELP ME ASAP!!! Thank you
Answer:
1. False
2. 30°
Step-by-step explanation:
Because 30 + 30 is 90
What is the image of (-5,-8) after a reflection over the y-axis
Just asking. How are we supposed to answer this without some sort of picture with a graph or something? :/
Answer:
(-5,-8) reflected over the y-axis turns to (-5,8)
Calculate the size of the angle labelled y.
Answer:
32.9 or just round it off and make it 33. both are correct
Step-by-step explanation:
tany=21/32.4
y= tan^-1(21/32.4)
y= 32.9 or 33
Find the probability that in 20 tosses of a fair six-sided die, a five will be obtained at least 5 times.
The probability that in 20 tosses of a fair six-sided die, a five will be obtained at least 5 times is approximately 0.3289 or 32.89%.
The probability of getting a 5 on any single toss of a fair six-sided die is 1/6. Since the tosses are independent, the number of 5's obtained in 20 tosses follows a binomial distribution with parameters n = 20 and p = 1/6.
We want to find the probability that a five will be obtained at least 5 times in 20 tosses. This is equivalent to finding the probability of getting 5, 6, 7, ..., or 20 fives in 20 tosses. We can use the binomial probability mass function to calculate these probabilities and then add them up.
Using a computer or a binomial probability distribution table, we can find the individual probabilities of getting k fives in 20 tosses for k = 5, 6, 7, ..., 20. We can then add up these probabilities to get the total probability of getting at least 5 fives in 20 tosses:
P(at least 5 fives) = P(5 fives) + P(6 fives) + ... + P(20 fives)
Using a computer or a binomial probability distribution table, we find that:
P(5 fives) ≈ 0.2029
P(6 fives) ≈ 0.0883
P(7 fives) ≈ 0.0270
P(8 fives) ≈ 0.0069
P(9 fives) ≈ 0.0015
P(10 fives) ≈ 0.0003
P(11 fives) ≈ 0.0001
P(12 fives) ≈ 0.0000
P(13 fives) ≈ 0.0000
P(14 fives) ≈ 0.0000
P(15 fives) ≈ 0.0000
P(16 fives) ≈ 0.0000
P(17 fives) ≈ 0.0000
P(18 fives) ≈ 0.0000
P(19 fives) ≈ 0.0000
P(20 fives) ≈ 0.0000
Summing up these probabilities, we get:
P(at least 5 fives) ≈ 0.3289
Therefore, the probability that in 20 tosses of a fair six-sided die, a five will be obtained at least 5 times is approximately 0.3289 or 32.89%.
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rachel is a stunt driver, and shes escaping from a building that is about to explode!
the variable d models rachels distance from her exit (in meters) t seconds after the cameras began recording the stunt.
d = -38t + 220
Answer:
I think this would be 182
Step-by-step explanation:
what is the answer for this one 4x + 16 = ?
Answer:
4(x+4)
Step-by-step explanation:
Factor 4x+16
4x+16
=4(x+4)
Bobby is 5 less than Kylie's age. Their combined
age is 43. How old is Kylie?
Answer:
K=24
B=21
Step-by-step explanation:
x+x-5=43
2x=48
x=24
K=24
B=21
Answer:
24
Step-by-step explanation:
So the only way I think would be possible to get the answer is if you divide 43 by 2 (since Bobbie and Kylie are 2 people) then subtract 5 to get the answer?
Inverses, contrapositives and converses. Below are examples of mathematical statements you’ll encounter in this class. Assume x, y, a, b, c are integers.
If the difference x − y is even then x and y are also even.
If a divides b or a divides c then a divides bc. (Note: a divides b means that the fraction b/a is an integer. For example, 3 divides 6 but 3 does not divide 7.)
If x2 ≥ 100 and x ≥ 0, then x ≥ 10.
(i) (9 pts.) State the inverse, contrapositive and converse of each statement above. When possible, avoid using the word "not." Instead, replace "not even" with "odd", etc.
Recall that for P → Q,
contrapositive: ¬Q →¬P
converse: Q → P
inverse: ¬(P → Q) = ¬(¬P ∨ Q) = P ∧ ¬Q
(ii) (3 pts.) Then indicate their truth values. Thus, for each statement you must determine whether the statement itself, its inverse, contrapositive and converse are true or false. That’s four true/false answers for each statement.
1. Statement: True
Inverse: True
Contrapositive: True
Converse: True
2. Statement: True
Inverse: True
Contrapositive: True
Converse: True
3. Statement: True
Inverse: True
Contrapositive: True
Converse: True
(i)
Statement: If the difference x - y is even, then x and y are also even.
Inverse: If x and y are not even, then the difference x - y is not even.
Contrapositive: If x and y are not even, then the difference x - y is not even.
Converse: If x and y are even, then the difference x - y is even.
Statement: If a divides b or a divides c, then a divides bc.
Inverse: If a does not divide b and a does not divide c, then a does not divide bc.
Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.
Converse: If a divides bc, then a divides b or a divides c.
Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.
Inverse: If x^2 < 100 or x < 0, then x < 10.
Contrapositive: If x^2 < 100 or x < 0, then x < 10.
Converse: If x ≥ 10, then x^2 ≥ 100.
(ii)
For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Statement: True
Inverse: True
Contrapositive: True
Converse: True
Statement: True
Inverse: True
Contrapositive: True
Converse: True
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Ashley is shopping for a fruit basket to send to her grandmother. A fruit basket from
Mabel's Gift Shop costs $13 for the basket plus $1.50 for each piece of fruit. Jenny's Gifts
and More charges $15 for a similar basket with an additional cost of $1.25 per plece of
fruit.
Which Inequality can be used to find the amount of fruit, x, at which it would be less
expensive for her to order from Mabel's Gift Shop?
Answer:
13 + 1.5x < 15 + 1.25x
Step-by-step explanation:
Mabel: 13 + 1.5x
Jenny: 15 + 1.25x
Less expensive to shop at Mabel's. Less than sign <.
13 + 1.5x < 15 + 1.25x
can yall help me with this
Answer:
48
Step-by-step explanation:
144 divided by 3 is 48 :)
Find the distance between the points.
(-3,2) and (0,2)
The distance is
Answer:
d=3
Step-by-step explanation:
by using distance formula
d=√(x2-x1)²+(y2-y1)²
let the points be A(-3,2) B(0,2)
d=√(0--3)²+(2-2)²
d=√(+3)²+(0)²
d=√9
d=3
Gabriella is deciding between two landscaping companies for her place of business. Company A charges $45 per hour and a $275 equipment fee. Company B charges $65 per hour and a $175 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine which company would be cheaper if Gabriella needs 3 hours of landscaping.
Answer:
A company
Step-by-step explanation:
heres the photo of the work shown (dw its not a link lol)
Answer:
A=$410
B=$370
Company B is 40 cheaper than Company A for 3 hours of landscaping.
Step-by-step explanation:
(45x3) + 275= 410
(65x3) + 175 = 370
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