Marc will need to work just over 4 hours of overtime each week at his new job, which pays $9.80 per hour and $14.70 per hour for overtime, to earn the equivalent of his previous monthly income of $1,650.
To determine the number of overtime hours Marc needs to work at his new job to earn the same monthly income he did at his previous job, we'll first calculate his weekly income at his old job, then use the overtime pay rates at the new job to find the equivalent number of hours needed.
Marc previously earned $1,650 per month. Assuming a standard 4-week month, his weekly income was:
$1,650 per month / 4 weeks per month = $412.50 per week.
At his new job, Marc earns $9.80 per hour with time and a half for all hours over 36 hours a week. This means his overtime pay is 1.5 times his hourly rate, which is:
$9.80 per hour x 1.5 = $14.70 per hour for overtime.
Marc's income for the first 36 hours at his new job would be:
36 hours x $9.80 per hour = $352.80
To earn the equivalent of his old weekly salary, we must make up the difference with overtime pay:
$412.50 (old weekly income) - $352.80 (new regular pay) = $59.70 needed from overtime.
To determine the overtime hours needed to make $59.70: $59.70 / $14.70 per hour = approximately 4.06 hours.
Therefore, Marc will need to work just over 4 hours of overtime each week to earn the same amount he did at his previous job.
If y = 44 when x = –264, what is y when x = –486
The value of 'y' when x equals -486 using the same ratio (1:6) as given in the original input is -81.
Explanation:To solve this problem, we're given a ratio of y to x (1:6) when x is -264 and y is 44. This ratio implies that y is one-sixth of x. Utilizing this information, we can determine y for a different x value (-486). By maintaining the 1:6 ratio, we divide -486 by 6, resulting in -81. Therefore, when x is -486, y equals -81. This solution stems from understanding the proportional relationship between y and x, allowing us to calculate y for any given x value based on the established ratio. In this case, the ratio of 1:6 guides the computation, ensuring the accurate determination of y as -81 when x is -486.
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At city high school,the sophomore class has 60 more students than the freshman class.the junior class has 50 fewer students than twice the students in the freshman class.the senior class is three times as large as the freshman class.if there are a total of 1,424 students at the city high school,how many students are in the freshman class?
The number of students in the freshman class are:
202
Step-by-step explanation:Let the number of students in Freshman class = x
The sophomore class has 60 more students than the freshman class.This means that the number of students in sophomore class = x+60
The junior class has 50 fewer students than twice the students in the freshman class.This means that the number of students in junior class= 2x-50
The senior class is three times as large as the freshman class.This means that the number of students in senior class are: 3x
There are a total of 1,424 students at the city high school.This means that:
[tex]x+x+60+2x-50+3x=1424\\\\x+x+2x+3x+60-50=1424\\\\7x+10=1424\\\\7x=1424-10\\\\7x=1414\\\\x=\dfrac{1414}{7}\\\\x=202[/tex]
Please can you help me
Answer:
5 : 1
Step-by-step explanation:
From your second-grade memorization of multiplication tables, you recognize that 15 = 3×5, so you know 3 is a factor of both numbers in the ratio. To reduce the ratio to simplest form, you divide out all common factors:
15 : 3 = (15/3) : (3/3) = 5 : 1
Tali started a pool cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. The expression −243+24x represents the profit Tali has earned from cleaning pools.
Which expression represents the total amount Tali earns from pool cleaning?
24x
24
−243
x
Answer:
24x
Step-by-step explanation:
The variable x is used to represent the independent variable in a situation. In this situation, the independent variable would be the number of pools cleaned; this means that x represents the number of pools cleaned.
24x would then indicate that Tali charges $24 per pool cleaned; this makes 24x her total earnings from cleaning pools.
Answer:
A. [tex]24x[/tex]
Step-by-step explanation:
We have been given an expression [tex]-243+24x[/tex], which represents he profit Tali has earned from cleaning pools. We are also told that Tali purchased cleaning supplies and charged the same amount for each pool cleaned.
Upon looking at our expression we can see that [tex]-243[/tex] is constant term and it is negative, so it will represent the amount spent by Tali on supplies.
The term [tex]24x[/tex] contains independent variable [tex]x[/tex], which represents the number of pools cleaned and 24 represents Tali's earning from each pool.
Since Tali cleaned [tex]x[/tex] pools, so total amount of Tali's earning from cleaning [tex]x[/tex] pools will be [tex]24x[/tex] and option A is the correct choice.
If the ratio between the radii of the two spheres is 3 5 what is the ratio of their volumes
Answer:
The answer is 27:125
Cho welcome
Work out the value of 3x + 2y when x=4 and y=-5
3x + 2y =
3*4 + 2*-5=
12 + -10 = 2
Which equation below represents a vertical line? y = x + 0, y = x – 0, y = 4, x = 4
1. what are some different types of numbers that you have herd of before?
2. why do you think it is important to classify (sort) different types of numbers
(−2+2i)⋅(5+5i)
Can you help me simplify
48 out of 120 equals what percent
The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Determine each of the following, showing all your work and reasoning.
Scale factor of the smaller pyramid to the larger pyramid in simplest form
Ratio of the areas of the bases of the smaller pyramid to the larger pyramid
Ratio of the volume of the smaller pyramid to the larger
Volume of the smaller pyramid
Is it true that |3-8| and |3+8|
To determine if |3-8| is equal to |3+8|, we calculate the absolute values: |3-8|=5 and |3+8|=11. Since 5 is not equal to 11, the statement is false.
To solve the given problem, we need to understand the properties of absolute values. Absolute value measures the distance of a number from zero on the number line, regardless of direction.
First, calculate the absolute value of each expression: |3-8| and |3+8|.For |3-8|:3 - 8 = -5, and the absolute value of -5 is 5. Therefore, |3-8| = 5.
For |3+8|:3 + 8 = 11, and the absolute value of 11 is 11. Therefore, |3+8| = 11.
In conclusion, it is not true that |3-8| equals |3+8|, as |3-8| = 5 and |3+8| = 11.
here is the full question-Is it true that |3-8| and |3+8| are equal?
If a line is perpendicular to a line segment, what angle do they form at their intersection
Given the literal equation for the area formula of a trapezoid: A =12h(b1 + b2) solve for b1. Must show your work to receive full credit.
[tex]\( b_1 = \frac{A}{12h} - b_2 \)[/tex] is the formula to solve for [tex]\( b_1 \)[/tex] in the trapezoid area equation.
To solve for [tex]\( b_1 \) in the equation \( A = 12h(b_1 + b_2) \), where \( A \)[/tex] is the area of the trapezoid, [tex]\( h \) is the height, \( b_1 \)[/tex]is one of the bases, and [tex]\( b_2 \)[/tex] is the other base, you can follow these steps:
1. Divide both sides of the equation by [tex]\( 12h \) to isolate \( (b_1 + b_2) \):[/tex]
[tex]\[ \frac{A}{12h} = b_1 + b_2 \][/tex]
2. Subtract [tex]\( b_2 \)[/tex] from both sides of the equation:
[tex]\[ \frac{A}{12h} - b_2 = b_1 \][/tex]
So, the equation for [tex]\( b_1 \) in terms of \( A \), \( h \), and \( b_2 \)[/tex] is:
[tex]\[ b_1 = \frac{A}{12h} - b_2 \][/tex]
The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?
A. 288
B. 24
C. 3,072
D. 64
Is it possible for a composite number to have more than one prime factorization?
Name the property the equation illustrated
8 + 3.4 = 3.4 +8
Joseph’s garden is 9 feet wide and 12 feet long. Alana’s garden is 7 feet wide and 25 feet long.
How much greater is the area of Alana’s garden than Joseph’s garden?
Please help!! Will give 15 points!
area of Josephs garden = 9*12 = 108 square feet
area for Alana's garden = 7 *25 = 175 square feet
175/108 = 1.62
Alan's garden is 1.62 times larger
Critical thinking write a recursive rule for a sequence where every term is the same.
Algebra Vocabulary Crossword help ?!
1. a relation described in word format? (17 letter)
9. a way to name a function identifying its input?
(16 letter)
The student is looking for the terms 'Verbal Description' and 'Function Notation' for their Algebra Vocabulary Crossword. These refer to a relation described in word format and a way to name a function identifying its input respectively.
Explanation:Based on the number of letters you've indicated, it looks like you're looking for two vocabulary items in the field of Algebra.
First, a relation described in a word format is typically called a Verbal Description, which has 17 letters.
Second, a way to name a function identifying its input is called Function Notation, which has 16 letters.
In Algebra, Verbal Description is when you describe a mathematical relationship using words. For example, 'the sum of a number and three is seven.' This could be translated to the equation x+3=7.
Function Notation, on the other hand, is a way to name a function that is dependent on one or more inputs. For example, f(x) = x^2 is function notation, since the output 'f(x)' is dependent on the input 'x'.
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The commission of selling each iPhone is $30 and the commission of selling each iPad is $20. If you one day sold 4 more iPhones than iPads and earned a total commission of $520, how many iPhones and iPads did you sell respectively?
By solving the system of equations which includes the total commission and difference in quantity of iPhones and iPads sold, we determine that the salesperson sold 8 iPads and 12 iPhones.
The student is tasked with solving a system of linear equations to determine how many iPhones and iPads were sold based on the commission earned. Let's define the number of iPads sold as x and the number of iPhones as x + 4.
The total commission for iPhones is $30 per iPhone and the total commission for iPads is $20 per iPad. The total commission earned from selling these products is $520.
We can set up two equations based on the given information:
Commission from iPhones: 30(x + 4)
Commission from iPads: 20x
Total Commission: 30(x + 4) + 20x = 520
By solving the equation 30(x + 4) + 20x = 520, we find:
30x + 120 + 20x = 520
50x + 120 = 520
50x = 400
x = 8
So, the number of iPads sold is 8. Since the number of iPhones sold is 4 more than iPads, we have:
Number of iPhones sold = x + 4 = 8 + 4
Number of iPhones sold = 12
Therefore, the salesperson sold 8 iPads and 12 iPhones respectively.
PLEASE ANSWER FAST!
Which statement best describes why the sale price is a function of the original price?
A:As the original price increases, the sale price also increases.
B:The sale price is always less than the original price.
C:For every original price, there is exactly one sale price.
D:The sales price is never less than zero.
Answer:
I think B,not sure
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Got it right
Help me solve this please...in detail.
What is 39ft/min to yd/s?
Please explain using dimensional analysis.
You went shopping and found a pair of shoes that were $45.00 on sale for $27.50. what was the percent of decrease of the shoes? your answer should go 1 decimal place)
If f(x) = + 8, what is f(x) when x = 10?
Answer:
13
Step-by-step explanation:
it correct
Need help ASAP real quick ????????????
Based on research by barsh and colleagues (2000), _____ genes appear to be related to body weight regulation.
i'm working at a distribution place and need help i'm supposed to be averaging 1000 units every hours if i do 4800 in a shift i'm 48 minutes behind schedule how many units per a hour am i averaging
I really need help on this problem can i get help on how to solve the problem please