You have two jobs. One job pays nine dollars per hour and the other job pays $7.50 per hour. You worked 18 hours last week and earned $145.50. How many hours did you work at each job?

Answers

Answer 1

Answer:

[tex] Y =\frac{16.5}{1.5}= 11[/tex]

[tex] X = 18-11=7[/tex]

And then we conclude that for the first job he works 7 hours and for the second job 11 hours

Step-by-step explanation:

We can define the following notation:

[tex]X[/tex] represent the number of hours worked for one job

[tex]Y[/tex] represent the number of hours worked for the other job

[tex]p_x = 9[/tex] represent the hourly payment for the first job

[tex]p_y = 7.50[/tex] represent the hourly payment for the other job

And we can define the following equations:

[tex] X+ Y= 18[/tex]   (1) represent the toal number of hours worked

[tex] 9X +7.5 Y = 145.50[/tex]  (2) represent the total amount earned

From equation (1) if we solve for X we got:

[tex] X = 18-Y[/tex] (3)

Replacing equation (3) into equation (2) we got:

[tex] 9(18-Y) +7.5 Y =145.50[/tex]

And after solve the equation we can find the value of Y:

[tex] 162 -9Y +7.5 Y =145.50[/tex]

[tex]16.5 = 1.5 Y[/tex]

[tex] Y =\frac{16.5}{1.5}= 11[/tex]

And solving for X from equation (3) we got:

[tex] X = 18-11=7[/tex]

And then we conclude that for the first job he works 7 hours and for the second job 11 hours


Related Questions

What is the result of 96-6? Use the model to find the answer.
8
12
16
32

Answers

I thinks it s 32 but I’m not 100% sure

Answer:

ITS 16!!!!!!!

Step-by-step explanation:

I TOOK IT ON AN ASSIGNMENT!!!!!!!!!!

SOOOOOO ITS CCCCCCCCCC

Determine whether the underlined number is a statistic or a parameter. In a study of all 4548 employees at a college comma it is found that Modifying 45 % with underline own a computer. Choose the correct statement below. Parameter because the value is a numerical measurement describing a characteristic of a population. Statistic because the value is a numerical measurement describing a characteristic of a sample. Parameter because the value is a numerical measurement describing a characteristic of a sample. Statistic because the value is a numerical measurement describing a characteristic of a population.

Answers

Answer:

Parameter because the value is a numerical measurement describing a characteristic of a population.

Step-by-step explanation:

key word is, the study of all 4548 employees

Final answer:

The underlined number, 45%, is a parameter because it's a numerical measurement that describes a characteristic of an entire population (in this case, all 4548 employees at a college). If the data was from a subset of the population or a sample, then it would be a statistic.

Explanation:

The underlined number 45% is a parameter because the value is a numerical measurement describing a characteristic of a population. In statistics, a parameter refers to a numerical characteristic of a population. In this case, the whole population under study is all 4548 employees at a college, and the underlined number represents the proportion of this entire population that owns computers.

To illustrate this concept further, consider a situation where you are studying a smaller group or sample from the entire population of employees. A statistic, on the other hand, would be a numerical measurement that describes a characteristic of this sample. If you were to evaluate a subset of 1000 employees from this college and found that 40% of them own computers, that would be a statistic because the value is describing a characteristic of a sample, not the entire population.

In summary, a parameter is a numerical characteristic of a whole population while a statistic is a numerical characteristic of a sample taken from that population.

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This table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5 feet of the original house. Use proportional reasoning to complete the table with the original lengths.

Answers

It’s 3 inches in diameter

Answer:

A: 6

B: 9

Step-by-step explanation:

All you do is multiply 1.5 times 4. To get A

And for B you just multiply 1.5 times 6

I WILL MAKE U THE BRAINLIEST

Answers

Answer: 4/3

Step-by-step explanation:

The method of SOH CAH TOA helps tremendously in this equation.

TOA is the one necessary for this problem as it means tangent = opposite side/adjacent side.

Opposite side = 4

Adjacent side = 3

Opposite side/adjacent side = 4/3

3n - (2+n) what value of n makes this expression equal to 6

Answers

n would be equal to 4

The value of 3n-(2+n) is 6 for n=4. This is obtained by applying simple algebraic operations such as adding like terms to the given expression.

Expression:

An expression consists of coefficients, variables, and constants.

How to simplify an expression?Expand the expression according to the operators in the expression like brackets. Use distributive law for expandingAdd the terms with the same variable which are called like termsSimplify the obtained sum.

Calculating for the value of n:

Given expression is 3n - (2+n) and it has a solution 6 for a value of n.

So, it can be written as 3n - (2+n) = 6

Expanding the obtained equation:

3n-2-n=6

Adding like terms

(3n - n) - 2 = 6

2n=6+2

2n=8

⇒ n=4

Therefore, for n=4 the value of the given expression is equal to 6.

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Smart phone sales since 1990
A.Linear B.Quadratic C.Exponential
Half life of a pesticide
A.Linear B.Quadratic C.Exponential
Throwing a baseball in the air
A.Linear B.Quadratic C.Exponential
Population of a colony of feral cats
A.Linear B.Quadratic C.Exponential
Grade on a test compared to hors of studying A.Linear B.Quadratic C.Exponential
Driving at a constant rate of speed
A.Linear B.Quadratic C.Exponential

Answers

Answer:

the last one is linear

the throwing a baseball in the air is quadratic

half life of a pesticide is exponential

thats all i know

Step-by-step explanation:

An artist creates a cone shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumference of 21.352 feet, what is the volume of the sculpture? Use 3.14 for Pi

Answers

Answer:

Volume, [tex]V=96.79\ \text{feet}^3[/tex]

Step-by-step explanation:

An artist creates a cone shaped sculpture for an art exhibit.

Height of sculpture is 8 feets

The circumference of base of the cone is 21.352 feet.

The base of a con is circular shaped. So,

[tex]2\pi r= 21.352[/tex]

r is radius of cone

[tex]r= \dfrac{21.352}{2\times 3.14} \\\\r=3.4\ ft[/tex]

The volume of cone shaped sculpture is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (3.4)^2 \times 8\\\\V=96.79\ \text{feet}^3[/tex]

So, the volume of the sculpture is [tex]96.79\ \text{feet}^3[/tex].

The following figure shows two intersecting lines which point name a straight angle

Answers

Answer:

The answer would be AEC because the angle all would add up to be 180 degrees

The straight angle is made by the line. the correct option is D.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Given

The two intersecting lines point to name a straight angle.

We know that the straight angle is made by the line.

Then

∠CED and ∠BEA are acute angles.

∠BEC and ∠ACD are obtuse angles.

∠AEC and ∠BED are straight angles.

Thus, the correct option is D.

More about the angle link is given below.

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Use the graph of the function y = 4x to answer the following questions.

The domain of the function is
to
because an exponent can be any real number.

Answers

Answer: negative infinity to positive infinity.

Step-by-step explanation:

Answer:

The domain of the function is negative infinity

to positive infinity because an exponent can be any real number.

Next, The range of the function is zero

to positive infinity because 4x is always positive.

Step-by-step explanation:

Edge test

Whenever Nicole rents a movie from iTunes, the probability that it will be a comedy is 52%. Of the next seven movies she rents, what is the probability that she rents NO MORE THAN two comedies?

Answers

Final answer:

The question pertains to cumulative probability in a binomial distribution, where the probability of Nicole renting no more than two comedies out of seven movies is calculated by adding the probabilities of renting 0, 1, or 2 comedy movies.

Explanation:

The question is about calculating a cumulative probability, specifically the probability that Nicole rents no more than two comedy movies out of seven. Here the events are not mutually exclusive, and we use the concept of binomial distribution to solve it.

The binomial distribution describes the probability of having exactly k successes (defined as the desired outcome, in our case renting a comedy) in n independent Bernoulli trials (independent events with two possible outcomes - here, renting a comedy or not).

To calculate the binomial distribution, we would use the formula P(k; n, p) = C(n, k) * (p^k) * (1-p)^(n-k), where P(k; n, p) is the probability of k successes in n trials, C(n, k) is the combinations of n items taken k at a time, and p is the probability of a success on a single trial.

In this case, we want to find the cumulative probability, i.e., the probability that Nicole rents 0, 1, or 2 comedy movies. This can be calculated as P(0;7,0.52) + P(1;7,0.52) + P(2;7,0.52).

C(n, k) can be calculated using the formula n! / [(n-k)!k!], where n is the total number of trials and k is the number of successes and '!' denotes factorial.

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Final answer:

To determine the probability that Nicole rents no more than two comedies out of seven movies, we apply the binomial probability formula to calculate the cumulative probability of renting 0, 1, or 2 comedies, and summing those probabilities gives the final answer.

Explanation:

The problem at hand requires calculating the probability of an event occurring a certain number of times given a fixed probability. In this case, we are interested in finding the probability that Nicole rents no more than two comedies out of the next seven movies from iTunes, with the probability of renting a comedy being 52%.

To solve this, we can use the binomial probability formula, which is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where 'n' is the number of trials, 'k' is the number of successes, and 'p' is the probability of success on any given trial. We are looking for P(X ≤ 2), which is the cumulative probability of renting 0, 1, or 2 comedies.

P(X = 0) = (7 choose 0) * 0.52^0 * 0.48^7P(X = 1) = (7 choose 1) * 0.52^1 * 0.48^6P(X = 2) = (7 choose 2) * 0.52^2 * 0.48^5

Summing these probabilities will give us the final probability that Nicole rents no more than two comedies.

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Nigel is one and one half as tall as his brother who is three and three fourths feet tall. How tall is Nigel?

Answers

Answer:

1/4

Step-by-step explanation:

TTriangle A B C is shown. Side A B has a length of 12. Side B C has a length of x. Side A C has a length of 15.
The value of x must be greater than ________.
A. 0
B. 1
C. 3
D.7

Answers

C:3........ explanation

A cat is stuck on the roof If the ladder is 16 feet long and must be placed six feet long and must be placed six feet away from the building How high can the ladder reach up the building to help save the cat?


14.8 feet


22 feet


37.9 feet


220 feet

Answers

How did it get on the roof?

Answer:

The answer is A. 14.8 feet.

Explanation:

We can use the Pythagorean theorem to solve this problem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the ladder represents the hypotenuse, and the distance from the building and the height reached by the ladder represent the other two sides.

Let's denote:

- [tex]\( a \)[/tex] as the distance from the building to the base of the ladder (6 feet)

- [tex]\( b \)[/tex] as the height reached by the ladder up the building (what we need to find)

- [tex]\( c \)[/tex] as the length of the ladder (16 feet)

According to the Pythagorean theorem, we have:

[tex]\[ a^2 + b^2 = c^2 \][/tex]

Substituting the given values:

[tex]\[ 6^2 + b^2 = 16^2 \][/tex]

[tex]\[ 36 + b^2 = 256 \][/tex]

[tex]\[ b^2 = 256 - 36 \][/tex]

[tex]\[ b^2 = 220 \][/tex]

To find [tex]\( b \)[/tex], we take the square root of both sides:

[tex]\[ b = \sqrt{220} \][/tex]

Using a calculator, we find:

[tex]\[ b \approx 14.8 \][/tex]

So, the ladder can reach up to approximately 14.8 feet on the building to help save the cat.

Which shows a perfect square trinomial?

50 y squared minus 4 x squared
100 minus 36 x squared y squared
16 x squared + 24 x y + 9 y squared
49 x squared minus 70 x y + 10 y squared

Answers

Answer:

The answer is C

Hope it helps! (I literally just took it on edge)

16x² + 24xy + 9y² can be represented as a perfect trinomial.

Polynomial

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic and so on. A trinomial is a polynomial with three terms.

A perfect square trinomial is a trinomial that can be obtained from a binomial equation.

16x² + 24xy + 9y² = 16x² + 8xy + 18xy + 9y²

= 8x(2x + y) + 9y(2x + y)

= (8x + 9y)(2x + y)

16x² + 24xy + 9y² can be represented as a perfect trinomial.

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What type of number is 90.65i?
Real, Imaginary, or Complex?

Answers

I think it would be complex or imaginary

Answer:

Complex and imaginary

Step-by-step explanation:

I had this same exact question on my test! It is both complex and imaginary

1. A rectangular tile has a decorative
pattern of 3 equal-sized squares, each
of which is divided into 2 same-sized
triangles. If Marnie uses 36 of these tiles
on the wall behind her kitchen stove,
how many triangles are displayed?

Answers

Answer:

  216

Step-by-step explanation:

Each of the 36 tiles has 3×2 = 6 triangles, so there are a total of ...

  36×6 = 216 . . . triangles

Find the range of the function y = 3x - 2
for the domain (2, 4, 6).

Answers

Answer:

range: {4, 10, 16}

Step-by-step explanation:

Find the range of the function y = 3x - 2

for the domain (2, 4, 6).

There are only 3 domain values here.

so  3 range values.

y = 3*2 - 2 =  6 - 2 = 4

y = 3*4 - 2 = 12 - 2 = 10

y = 3*6 - 2 = 18 -2 = 16

range: 4, 10, 16

what is the average of 3.29 2.59 4.29 2.50?

Answers

Answer:

3.1675

Step-by-step explanation:

"Your answer needs to be at least 20 characters long"

Answer:

3.1675

Step-by-step explanation:

Since the average is also referred to as the mean, you have to add them all together and divide it by the number of numbers in the data set: 3.29+2.59+4.29+2.50= 12.67 12.67 divided by 4= 3.1675

hope this helps!!

ps. could you please help me with my recent question??

On the first day it was posted online, a music video got 600 views. The number of views that the video got each day increased by 20% per day. How many total views did the video get over the course of the first 23 days, to the nearest whole number?

Answers

Answer: there were 195,742 total views after 23 days

Step-by-step explanation:

Question 2

1 pts

A ship sails for 400 miles on a bearing of 60°. It then changes directions and sails for

100 miles on a bearing of 150°. How far away is the ship from its starting point?

10 170000 miles

360.555 miles

300 miles

412.310 miles

Answers

Answer: 412.310 miles

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo. The bearing is taken with respect to the northern direction. The angles at B are determined by applying the concept of alternate angles with respect to parallel lines.

A right angle triangle ABC is formed. The starting point is A and the end point is C. The distance, x between A and C represents the hypotenuse of the triangle.

We would determine x by applying Pythagoras theorem which us expressed as

Hypotenuse² = opposite side² + adjacent side²

x² = 400² + 100² = 170000

x = √170000

x = 412.310 miles

Assume that voltages in a circuit vary between 6 volts and 12 volts, and voltages are spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of voltage levels. In each case, draw a sketch and leave answers as a fraction. a. Greater than 10 volts b. Less than 11 volts c. Between 6.5 volts and 8 volts

Answers

Answer:

a) [tex] P(X>10) =1-P(X<10) = 1-F(10) = 1-\frac{10-6}{12-6} = 0.333[/tex]

b) [tex] P(X<11)= F(11) = \frac{11-6}{12-6}= 0.833[/tex]

c) [tex] P(6.5<X<8)= F(8) -F(6.5) = \frac{8-6}{12-6}-\frac{6.5-6}{12-6}= 0.333-0.0833 = 0.250[/tex]

In the figure attached we have the illustration for the probability for each part.

Step-by-step explanation:

For this case we define the random variable X as the voltages in a circuit  and the distribution for X is given by:

[tex]X \sim Unif (a= 6, b=12) [/tex]

Part a

we want this probability:

[tex] P(X>10)[/tex]

We can use the cumulative distirbution function given by:

[tex] F(x) = \frac{x-a}{b-a}, a\leq X \leq b[/tex]

And using the complement rule we have this:

[tex] P(X>10) =1-P(X<10) = 1-F(10) = 1-\frac{10-6}{12-6} = 0.333[/tex]

Part b

We want this probability:

[tex] P(X<11)[/tex]

And using the cumulative distirbution function we got:

[tex] P(X<11)= F(11) = \frac{11-6}{12-6}= 0.833[/tex]

Part c

We want this probability:

[tex] P(6.5<X<8)[/tex]

And using the cumulative distirbution function we got:

[tex] P(6.5<X<8)= F(8) -F(6.5) = \frac{8-6}{12-6}-\frac{6.5-6}{12-6}= 0.333-0.0833 = 0.250[/tex]

In the figure attached we have the illustration for the probability for each part.

Final answer:

To find the probability of a given range of voltage levels in a circuit, we need to determine the proportion of voltages that fall within that range. In this case, the range of voltages varies between 6 volts and 12 volts, and they are spread evenly. The probability of the voltage being greater than 10 volts is 1/3, the probability of the voltage being less than 11 volts is 5/6, and the probability of the voltage being between 6.5 volts and 8 volts is 1/4.

Explanation:

To find the probability of a given range of voltage levels, we need to determine the percentage of voltage values that fall within that range. In this case, the range of voltages varies between 6 volts and 12 volts. Since the voltages are spread evenly, we can calculate the probability by finding the proportion of the range compared to the total range of possibilities.

Greater than 10 volts: To find the probability that the voltage is greater than 10 volts, we need to determine the proportion of voltages that fall above this threshold. Since the range is from 6 volts to 12 volts, the proportion of voltages greater than 10 volts is (12 - 10) / (12 - 6) = 2/6 = 1/3.Less than 11 volts: To find the probability that the voltage is less than 11 volts, we need to determine the proportion of voltages that fall below this threshold. Since the range is from 6 volts to 12 volts, the proportion of voltages less than 11 volts is (11 - 6) / (12 - 6) = 5/6.Between 6.5 volts and 8 volts: To find the probability that the voltage is between 6.5 volts and 8 volts, we need to determine the proportion of voltages that fall within this range. Since the range is from 6 volts to 12 volts, the proportion of voltages between 6.5 volts and 8 volts is (8 - 6.5) / (12 - 6) = 1.5/6 = 1/4.


Which relationship is likely ONLY a correlation and NOT one of causation?
Q:
A:
A) As the temperature increases, the number of air conditioners being used increases.
B) As the price of a gallon of gas increases, the number of gallons of gas sold decreases.
C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases.
D) As the amount of time a student spends studying for a test decreases, the student’s score on the test decreases.

Answers

Answer:

C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases

Step-by-step explanation:

Many people visit parks in the summer, which is when the flowers are supposed to bloom/blossom.

Several students tested plant growth for given conditions. Which student’s data is most representative of average plant growth for the tested conditions? Alicia tested 6 plants. Brenden tested 24 plants. Caitlin tested 3 plants. Diego tested 12 plants. Alicia Brenden Caitlin Diego

Answers

Step-by-step explanation:

Step 1:  Find the correct answer

The more plants tested, the better average that you will have.  Therefore, since Brenden tested 24 plants, which is the most, his data is the most representative of average plant growth.

Answer:  Option B, Brenden

Answer:

Brenden

Step-by-step explanation:

Larger the sample size, better representative it is of the population

Your consulting firm is submitting a bid for a big contract. From previous data, you know your firm has a 51% of successfully landing the contract. The agency to which you submitted your bid has asked for more information about your bid. Past experience indicates that for 70% of successful bids and 44% of unsuccessful bids, the agency asks for more information. (In other words, if you successfully bid, then the probability the agency asks for information is 70%, etc.) If an agency asks for more information, what is the probability the bid is successful

Answers

Answer:

P(S/A) = 0.6235

Step-by-step explanation:

Let's call S that you successfully bid, S' that you unsuccessfully bid, A that the agency asked for more information and A' that the agency didn't asked for more information.

So, the probability P(S/A) that the bid is successful given that the agency asks for more information is calculated as:

P(S/A) = P(S∩A)/P(A)

Where P(A) = P(S∩A) + P(S'∩A)

Then, the probability P(S∩A)  that you successfully bid and the agency asked for more information is:

P(S∩A) = 0.51 * 0.7 =  0.357

Because your firm has a 51% of successfully landing the contract and if you successfully bid, then the probability the agency asks for information is 70%.

At the same way, the the probability P(S'∩A)  that you unsuccessfully bid and the agency asked for more information is:

P(S'∩A) = (1-0.51) * 0.44 = 0.2156

So, P(A) and P(S/A) are equal to:

P(A) = 0.357 + 0.2156 = 0.5726

P(S/A) = 0.357/0.5726 = 0.6235

What is the value of the expiración below when Z = 7?

3z - 3

A)12
B)18
C)21
D)34

Answers

Answer:

B)18

Step-by-step explanation:

3z-3

Let z=7

3*7 -3

Multiply first

21-3

Then subtract

18

Answer:

B

Step-by-step explanation:

What is the value of cosine theta in the diagram below?

Answers

The answer is A, 3/5

shawn has a bag containing seven balls: one green, one orange, one blue, one yellow, one purple, one white, and one red. All balls are equally are equally likely to be chosen. Shawn will choose one ball without looking in the bag. What is the possibility that Shawn will choose the purple ball out of the bag?

Answers

hi

Seven Balls , one of each color.  Then 1/7 possibility to choose purple

A block of aluminum occupies a volume of 15.0 mL and weighs 40.5 g.

What is its density? (answer in g/mL)

Answers

Answer:

0.00037037037 m3 / kg

Step-by-step explanation:

Find the 54th term of the arithmetic sequence -7,-23,-39

Answers

Answer:

-855

Step-by-step explanation:

Find the 54th term of the arithmetic sequence -7,-23,-39

The first term is a_1 = -7

we see that the common difference = d = -23 - (-7) = -16

so the formula:  a_n = (n- 1)*d + a_1

a_54 = (54 - 1)* (-16) + (-7)

a_54 = 53 *(-16) - 7 = -848 - 7 =  -855

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.

Answers

Answer:

The explicit equation that models the sequence is [tex]f(n)=25-4(n-1)[/tex].

Step-by-step explanation:

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference.

In general, this is the standard explicit formula of an arithmetic sequence whose first term is A and common difference is B:

                                                 [tex]f(n)=A+B(n-1)[/tex]

The sequence {25, 21, 17, 13, ...} is an example of an arithmetic sequence the same number, -4, is subtracted to each term to get to the next term.

We know the first term is 25 and common difference is -4.

Applying the standard explicit formula of an arithmetic sequence we get that

[tex]f(n)=25-4(n-1)[/tex].

The explicit equation is aₙ = 29 - 4n

25, 21, 17, 13...….

The sequence follows an arithmetic sequence. Therefore,

common difference (d) = 21 - 25 = -4

first term(a) = 25

Therefore, the explicit equation can be represented below:

aₙ = a + (n - 1)d

aₙ = 25 + (n - 1)-4

aₙ = 25 - 4n + 4

aₙ = 29 - 4n

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