Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below. 3x + 2y = 36.50 2x + 5y = 50.00 At which job does Percy earn the greater hourly wage? How much does Percy earn each hour at this job? Percy earns a greater hourly wage of $7.00 at the library. Percy earns a greater hourly wage of $7.00 at the coffee cart. Percy earns a greater hourly wage of $7.50 at the library. Percy earns a greater hourly wage of $7.50 at the coffee cart.

Answers

Answer 1
Percy earns a greater hourly wage of $7.50 at the library. 
Answer 2

Answer:

Percy earns a greater hourly wage of $7.50 at the library.

Step-by-step explanation:


Related Questions

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)

Answers

1. a relation described in word format (17 letter) is  "is direct variation"

9.  a way to name a function identifying its input (16 letter) is "f of x equals x square"
Final answer:

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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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.

Answers

Answer:

I think B,not sure

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right

Which equation below represents a vertical line? y = x + 0, y = x – 0, y = 4, x = 4

Answers

a vertical line is represented by x = a number
so ur vertical line is : x = 4 <==

** and just so u know, a horizontal line is represented by y = a number.
[tex]x=4[/tex] is the answer
hope this has helped you

If f(x) = + 8, what is f(x) when x = 10?

Answers

f(x) = (x/2) + 8
f(10) = (10/2) + 8 ... replace every x with 10; now use PEMDAS
f(10) = 5 + 8
f(10) = 13

We plugged in x = 10 as the input to get the output of f(x) = 13

Answer: 13

Answer:

13

Step-by-step explanation:

it correct


What is 39ft/min to yd/s?
Please explain using dimensional analysis.

Answers

Dimensional analysis simply means to arrange the units in the problem in a such a way that they cancel each other out and you're left with the units you need in the answer. We do this by using conversion ratios arranged like fractions, then multiplying across left to right.

In your problem, we're given ft/min and need to convert to yd/s. Start with feet and convert to yards for the numerator, then convert minutes to seconds for the denominator: (pretend the parentheses encompass the entire fractions - limitations of the answer box)
39 feet    x ( 1 yard )  x   (1 min)
1 min           3 feet           60 sec

Notice that feet cancel, and minutes cancel. We're left with yards in the numerator and seconds in the denominator.
Multiplying the numbers, we get 39/180, which simplifies to 0.217.
The final answer is ~0.22 yd/sec.

Michael has 4 lots of land to sell. He sells two of them at a loss of $1,200 each and sells the other two at a profit of $1,400 each. How much money does he make on his investment?

Answers

He makes $400 as an investment because 1400*2= 2800

1200*2= 2400

Subtract the two number 2800-2400= 400
Final answer:

Michael makes a total of $400 from his land investment after calculating the total losses and gains from the lands sold.

Explanation:

In order to find out the total money that Michael has made from his land investment, you need to calculate the losses and the gains individually. Michael sells two of his lands at a loss of $1,200 each, hence his total loss is 2 * $1,200 = $2,400. On the other hand, he sells the other two lands at a profit of $1,400 each, hence his total profit is 2 * $1,400 = $2,800.

To get the total money that he made on his investment, you subtract the total loss from the total profit. That is $2,800 (total profit) - $2,400 (total loss) = $400. Hence, Michael makes $400 on his investment.

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How many terms are in the expression a3 + 3a2b - 4ab - 11b + 7?

7
4
5
6

Answers

There are 4 terms
Hope this helps

the answer is 5

1: a^3

2: 3a^2b

3: 4ab

4: 11b

5: 7

anything seporated by a + or - is a term

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?

Answers

lets assume number of iphones sold = a number of ipads sold = b i sold 4 iphones more than ipad that becomes a = b+4 then the equation of total commission becomes 30a+20b = 520 substituting a =b+4 in the above equation 30(b+4)+20b = 520 30b+120+20b = 520 50b =520-120 50b = 400 b = 400/50 b=8 number of iphones i sold = a = b+4 = 8+4 = 12 number of ipads i sold = 8 so i sold 12 iphones and 8 ipads to earn the commission of $520

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.

Neil and Jean each choose a number at random from the set 1,2,3,4,5,6,7,9,10 their numbers are allowed to be the same. What is the probability that the product of those two numbers is even?

Answers

Final answer:

The probability that the product of the numbers selected by Neil and Jean is even is approximately 0.8889.

Explanation:

To answer your question, let's first classify the numbers from the given set 1,2,3,4,5,6,7,9,10 into two categories: even numbers (2, 4, 6, 10) and odd numbers (1, 3, 5, 7, 9). Each of the people, Neil and Jean, can pick any number independently. Hence we have two scenarios which result in the product being even - either both pick even numbers or at least one of them picks even.

The probability of both picking an even number is (4/9)*(4/9) = 16/81. Also, there is no constraint on the second scenario, so, total probabilities = 1. Hence, the probability of at least one picking an even is 1 - probability(both picking odd) = 1 - (5/9)*(5/9) = 1 - 25/81 = 56/81.

Therefore, the total probability that the product of the numbers selected by Neil and Jean is even is the sum of the above two probabilities i.e., 16/81 + 56/81 = 72/81 = 0.8889 (approx).

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Two ants walk on a line in a random fashion. they begin 10cm apart. at each time step, each ant has a probability of 1/2 to move 1cm to the left, and probability 1/2 to move 1cm to the right. what is the probability that after 7 time steps, the ants have met one another (i.e., passed through the same point)?

Answers

121/16384 exactly, or approximately 0.739% Each time step, there are 4 possibilities that will happen. They are a1 a2 -1 -1 = Ants move to left, distance remains the same. -1 1 = Ants move away from each other, distance = distance + 2 1 -1 = Ants move to each other, distance = distance - 2 1 1 = Ants move to right, distance remains the same. For the rest of the discussion, I'll call the possible moves advance, retreat, and idle (and there's 2 ways idle can happen). If you consider the possible moves, the ants can reach each other only at time steps 5, 6, or 7. Let's consider each of those values separately. 5 time steps. This can only happen if all 5 moves are advances. And after they reach each other we don't care what happens for the remaining 2 steps so there is 1 * 4 * 4 = 16 possible sequences where the ant reach each other on the 5th step. 6 time steps. The only way this can happen is with 5 advances and 1 idle, with the idle happening during one of the 1st 5 steps. So there's 5 ways for that to happen. And since there's 2 different actions that are an idle, we multiply that 5 by 2 to get 10. And finally, we don't care what happens with the 7th step, so we multiply once again by 4, getting 40. 7 time steps. This can happen 2 ways. If the 1st 6 steps are 4 advances and 2 idles with the idles happening during any step, then we have 6!/(2!4!) = 15 different arrangements. Since we have 2 different types of idles, we need to multiply by 2 for each idle, so we have 15 * 2 * 2 = 60 possible ways to do this. It can also happen if during the 1st 6 steps we have 5 advances and 1 retreat with the retreat happening during one of the 1st 5 moves. So there's 5 ways to get the ants to meet if the sequence has a retreat. So with a sequence of 7 time steps, there are 16 + 40 + 60 + 5 = 121 possible sequences that have the ants at the same point at the same time. Now since there are 4 possibilities for each step, there are 4^7 = 16384 possible sequences that can be done. So the probability of the 2 ants meeting each other is 121/16384 = 0.007385254 = 0.7385254%

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?

Answers

S=f+60
J=Fx2-50
Senior=fx3

(f)+(f+60)+(fx2-50)+(fx3)=1424 (Parenthesis first)
f+f+60+2f-50+3f=1424 (rewrite)
2f+60+2f-50+3f=1424 (combine like variables)
7f+10=1424 (rewrite)
7f=1414 (isolate variable (take away 10 from each side))
1414/7
202=freshman
Answer:

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]

Is it possible for a composite number to have more than one prime factorization?

Answers

no The prime factorization of a composite number is the process of finding all the prime numbers that when multiplied together result in the composite number. Just rearranging the order of the prime numbers doesn't change the factorization. The Commutative Property of multiplication allows us to multiply the prime factors together in any order at all.

Please can you help me

Answers

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

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

Answers

Expected throughput is
1000 units/h

Therefore the expected time for 4800 units is
(4800 units)/(1000 units/h) = 4.8 hours = 288 minutes

Because the worker is 48 minutes behind schedule, the actual time is
288 + 48 = 336 minutes = 5.6 hours

The actual average throughput is
(4800 units)/(5. h) = 857 units per hour.

Answer:  857 units per hour.

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.

Answers

[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]

If y = 44 when x = –264, what is y when x = –486

Answers

Final answer:

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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Cups are sold 5 to a package and plates are sold 10 to a package. If you want to have the same number of each item for the party, what is the least number of packages of each you need to buy?

Answers

i think the answer would be 
20, the LCM 
(least common multiple) :)

1 package of plates = 10 plates  and 2 package of cups = 10 cups

 so 3 packages is least amount


If a line is perpendicular to a line segment, what angle do they form at their intersection

Answers

If a line is perpendicular to a line segment, then they will form a right angle.
90 degree will be the answer cause its a right angle.

(−2+2i)⋅(5+5i)
Can you help me simplify

Answers

(−2+2i)⋅(5+5i)
FOIL
-10-10i+10i+10i²=-10+10i² this is the simplify answer
If you want the complete answer is 
-10+10(-1)=-10-10=-20

One out of two people entering the grocery store purchase soda. how many people out of 20 purchase soda?

Answers

Answer:  "10" .
______________________
1/2 = x/20 

(1*10) = (2*10) = 10/20 .

Note: 2*10 = 20.

1/2 = 10/20 .

10/20 = ?  ;  Cancel out the zeros to get:  "1/2" ;    "10/20 = 1/2" .

The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?

A. 288
B. 24
C. 3,072
D. 64

Answers

the answer would be a. 288. hope that helped
2 is the biggest number, so to find the LCD check to see if it is divisible by 3, no, 4, yes, 9, no. Next number: 32x2=64. None of the numbers were divisible. Eventually, you'll find that the LCD is 288

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)

Answers

percent decrease = (original number - new number) / original number....* 100
                             = (45 - 27.5) / 45.....* 100
                             = 17.5 / 45....* 100
                             = 0.3888 * 100 
                             = 38.9 % decrease <== thats rounded

WHY is -2 3 8l9 1,476 -6.01 all rational numbers . have a separate explanation for each number

Answers

There really doesn't need to be a separate explanation for each number because 1 explanation would explain everyone of them.

All of these numbers are rational because a rational number is, or can be, turned into a fraction.

-2 = -2/1
3 = 3/1
819 = 819/1
1,476 = 1,476/1
-6.01 = -6 1/100 = -601/100

Name the property the equation illustrated
8 + 3.4 = 3.4 +8

Answers

8 + 3.4 = 3.4 +8
commutative property of addition
I'm sure it would only just be 0 so either 0 or no solution

If the ratio between the radii of the two spheres is 3 5 what is the ratio of their volumes

Answers

3^3 / 5^3 = 27 / 125

Answer:


The answer is 27:125

Cho welcome


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


Answers

natural, whole

you need the different classifications that way it is easier to tell someone what you are talking about.
1. Some types of numbers I've heard about are: whole numbers, fractions, negative numbers, infinite numbers, irrational numbers, rational numbers, improper fractions, imaginative numbers, radical numbers, unknown numbers, etc.

2. I think it important to group or separate numbers out in order to apply them to the categories they apply to.

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

Answers

[tex]\bf \qquad \qquad \textit{ratio relations} \\\\ \begin{array}{ccccllll} &Sides&Area&Volume\\ &-----&-----&-----\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array} \\\\ -----------------------------\\\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\ -------------------------------\\\\ [/tex]

[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base} \\\\\\ \cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}} \\\\\\ \left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume} \implies \cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v[/tex]

I really need help on this problem can i get help on how to solve the problem please

Answers

you cannot assume that the angles are equal. there is no angle measure and nothing to say the lines are parellel.

Is it true that |3-8| and |3+8|

Answers

No, it is not true. If you solve them, the first one is 5, while the second one is 11.

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?

300 yards / 1 minute find unit rate feet per wonds

Answers

132 ft / sec. I believe this is the answer.
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