Answers
Answer:
Caleb paid less than Omar by $12.Step-by-step explanation:
The initial cost of each repair is $1,000.
One coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost.
Case 1: Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on the remaining balance.
Step 1: 1000 − 80 = 920
Step 2: 920− (0.15 × 920) = 782 dollars
Case 2: Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on the remaining balance.
Step 1: 1000−(0.15 × 1000)=850
Step 2: 850 − 80 = 770 dollars
Now, comparing the values we can see that Caleb paid less.
He paid less by 782 − 770 = 12 dollars.
Related Questions
Complete the flow proof of the converse of the corresponding angles theorem. Fill in the blanks.
Answers
When two lines and a transversal form comparable angles that are congruent, the lines are parallel, which is the converse of the corresponding angles theorem's flow proof. Which means that line c ║ to line d.
What are perpendicular lines?The two different lines that meet at an angle of 90 degrees are called perpendicular lines. Do your walls' connecting corners—or the letter "L"—share any similarities? They are the straight lines, referred to as perpendicular lines, that intersect at the proper angle. An angle of 90 degrees between two straight lines is known as a perpendicular. The illustration depicts a little square in between two perpendicular lines to indicate the 90° angle, which is also known as a right angle. Here, a right angle between the two lines Two lines that cross each other at a 90° angle are referred to as perpendicular lines in mathematics. I
To know more about perpendicular lines ,visit:
brainly.com/question/18271653
#SPJ13
Find AD PLEASE HELP ME
Answers
Applying the triangle proportionality theorem, the length of AD that will make DE║AB is: AD = 60.
How to Apply the Triangle Proportionality Theorem?According to the triangle proportionality theorem, the equation or proportion we can create to find x is expressed as:
(2x - 4) / 5x = 3x / 8x
Cross multiply:
8x(2x - 4) = (3x)(5x)
16x² - 32x = 15x²
x² - 32x = 0
Solve to find x by factoring:
The equation x² - 32x = 0 can be solved by factoring:
x(x - 32) = 0
So either x = 0 or x - 32 = 0, meaning x = 32.
The solutions to the equation are x = 0 and x = 32.
Using x = 32:
AD = 2x - 4 = 2(32) - 4
AD = 60
Learn more about triangle proportionality theorem on:
https://brainly.com/question/8160153
#SPJ1
NEED HELP ASAP WILL GIVE BRAINLYEST IF CORRECT Which model shows two equal expressions when a = 4?
A)a + 1 + 1 + 1 + 1 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
B)a + a + a + a = 1
C)a + a = 1 + 1 + 1 + 1 + 1 + 1
D)a + a + a + a = 1 + 1 + 1 + 1
Answers
Answer:
A and B
Step-by-step explanation:
An electrician charges a base fee of $70 plus $45 for each hour of work. The minimum the electrician charges is $160. Create a table that shows the amount the electrician charges for 1, 2, 3, and 4 hours of work. Determine the domain and range of the relation in context and explain whether or not this represents a function.
Answers
Answer:
1) See below for table.
2) Domain: \(\{1, 2, 3, 4\}\)
Range: \(\{160, 160, 205, 250\}\)
Yes, this is a function.
Step-by-step explanation:
We know that the electrician charges a base fee of $70 plus $45 for each hour of work.
We also know that the minimum the electrician charges is $160.
Let's write an equation. Let x denote the number of hours worked and y denote the total price. There's also a base fee of $70. So, we can write the following equation:
\(y=45x+75\)
Part 1)
Let's create our table for 1, 2, 3, and 4 hours. To do so, we simply need to substitute each value for x in our equation.
1 Hour:
We have:
\(y_1=45(1)+70\)
Multiply and add:
\(y_1=45+70=\$115\)
However, notice that the minimum the electrician charges is $160. Therefore, for one hour of work, the electrician will still charge $160. So:
\(y_1=\$160\)
2 Hours:
Substitute 2 for x:
\(y_2=45(2)+70=90+70=\$160\\\)
So:
\(y_2=\$160\)
3 Hours:
Substitute 3 for x:
\(y_3=45(3)+70=135+70=\$205\)
So:
\(y_3=\$205\)
4 Hours:
Substitute 4 for x:
\(y_4=45(4)+70=180+70=\$250\)
So:
\(y_4=\$ 250\)
Therefore, for 1, 2, 3, and 4 hours of work, the prices will be $160, $160, $205, and $250, respectively.
We can create the following table (please scroll down to see the table. Also, y is measured in dollars).
Part 2)
The domain of a relation are the input values.
In this context, our input values are the amount of hours worked, and we calculated for 1, 2, 3, and 4 hours of work.
Therefore, our domain in this context is:
\(\{1, 2, 3, 4\}\)
The range of a relation are the output values.
In this context, the output values are the price for x hours of work.
Therefore, our range in this context is:
\(\{160, 160, 205, 250\}\)
This relation does represent a function. Remember that a function cannot have repeating input values. In other words, no one input can be equal to two or more different outputs. However, one output can be mapped to two or more different inputs.
For our table, none of the inputs are repeating. So, our relation is a function.
And we're done!
Sidney bought 18 toy cars. The cars came in p packages. Write an expression that shows
how many toy cars were in each package.
Answers
Answer:
\(\frac{18}{p}\)
Step-by-step explanation:
5x+4=x+44 solve for x
Answers
Answer:
x=10
Step-by-step explanation:
hope this helps
5x = x + 44 - 4
5x = x + 40
5x - x = 40
4x=40
x=40/4
x = 10
which set of points matches the rules? Add 2 to the previous x value. Add 5 to the previous y value.
__________________________________________________________
answers
A. (1, 3), (6, 5), (11, 7), (16, 9), (21, 11)
B. (1, 3), (3, 8), (5, 13), (7, 18) (9, 23)
C. (1, 3), (2, 15), (4, 75), (8, 375), (16, 1,875)
D. (1, 3), (5, 6), (25, 12), (125, 24), (625, 48)
Answers
The set of points that matches the rules is B. (1, 3), (3, 8), (5, 13), (7, 18), (9, 23)
How to find witch set matches the rule?Let's analyze each set of points to see which one matches the given rules:
A. (1, 3), (6, 5), (11, 7), (16, 9), (21, 11):
In this set, the x-values increase by 5 (1 to 6, 6 to 11, etc.), and the y-values increase by 2 (3 to 5, 5 to 7, etc.). Therefore, it does not match the given rules.
B. (1, 3), (3, 8), (5, 13), (7, 18), (9, 23):
In this set, the x-values increase by 2 (1 to 3, 3 to 5, etc.), and the y-values increase by 5 (3 to 8, 8 to 13, etc.). This set matches the given rules of adding 2 to the previous x value and adding 5 to the previous y value.
C. (1, 3), (2, 15), (4, 75), (8, 375), (16, 1,875):
In this set, the x-values increase by powers of 2 (1 to 2, 2 to 4, 4 to 8, etc.), and the y-values increase by multiplying the previous y-value by 5 (3 to 15, 15 to 75, etc.). This set does not match the given rules.
D. (1, 3), (5, 6), (25, 12), (125, 24), (625, 48):
In this set, the x-values increase by multiplying the previous x-value by 5 (1 to 5, 5 to 25, etc.), and the y-values increase by multiplying the previous y-value by 2 (3 to 6, 6 to 12, etc.). This set does not match the given rules.
Therefore, the set of points that matches the rules "Add 2 to the previous x value" and "Add 5 to the previous y value" is:
B. (1, 3), (3, 8), (5, 13), (7, 18), (9, 23)
Learn more about set of points
brainly.com/question/13017653
#SPJ11
8.)
1 point
Does (0,7) make the equation y = 3x + -7 true?
Answers
Answer:
YES
Step-by-step explanation:
The 7 in (0,7) is the y-intercept given in the equation y = 3x + 7
Let C be the event that a student received a grade of B or better in Calculus I and let S be event that a student received a grade of A in Statistics I. Which of the following denotes the probability that a student received an A in statistics given that the student received less than a B grade in Calculus I.
a. P(S'|C')
b. P(CIS)
c. P(SIC)
d. P(SIC)
Answers
The probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I can be denoted as P(S|C'). The correct option is (a) P(S'|C').
To represent the probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I, we need to consider the complement of the events.
The complement of event C (grade of B or better in Calculus I) is C' (grade less than B in Calculus I). Similarly, the complement of event S (grade of A in Statistics I) is S' (grade other than A in Statistics I).
Therefore, the probability that a student received an A in Statistics I given that the student received less than a B grade in Calculus I is denoted as P(S|C'). This notation indicates the conditional probability of event S occurring given that event C' has occurred.
Among the given options, (a) P(S'|C') correctly represents the desired probability. Option (b) P(CIS) represents the joint probability of events C, I, and S, which is not relevant to the given question.
Option (c) P(SIC) represents the joint probability of events S, I, and C, which is also not relevant. Option (d) P(SIC) is a duplicate of option (c) and does not represent the desired probability.
To learn more about probability click here: brainly.com/question/32117953
#SPJ11
A lecture class has 30 full-time students and 20 part-time students. A random sample of 10 students is drawn. UseRcommands to answer the following questions: (a) What is the probability that exactly 6 of the students will be full-time? (b) What is the probability that at most 8 of the students will be full-time? (c) Use the binomial approximation that exactly 6 of the students will be full-time, wherep=30/50=0.6. How does this compare to your answer in part a? Is it appropriate to use the binomial approximation in this scenario?
Answers
It's important to remember that using the binomial approximation assumes a large population size, which may not be the case here.
To answer your questions, we will use R commands to calculate the probabilities.
(a) To find the probability that exactly 6 of the students will be full-time, we can use the "dhyper" function in R. The parameters are x = 6, m = 30 (number of full-time students), n = 20 (number of part-time students), and k = 10 (sample size).
R command:
```R
dhyper(x = 6, m = 30, n = 20, k = 10)
```
(b) To find the probability that at most 8 of the students will be full-time, we can use the "phyper" function in R, which calculates the cumulative probability. We need to calculate P(X ≤ 8).
R command:
```R
phyper(q = 8, m = 30, n = 20, k = 10)
```
(c) To use the binomial approximation, we can use the "dbinom" function in R with p = 0.6 (probability of full-time student) and n = 10 (sample size). We want to calculate P(X = 6).
R command:
```R
dbinom(x = 6, size = 10, prob = 0.6)
```
Compare this result with the answer in part (a). If the difference is relatively small, it's appropriate to use the binomial approximation in this scenario.
Learn more about R commands here: brainly.com/question/30904403
#SPJ11
If 8-i is the sum of two complex numbers, and one of the binomials is 7 - 2i, which represents
the other binomial?
Answers
the other binomial is 1 + i.
We are given that 8-i is the sum of two complex numbers and one of the binomials is 7 - 2i. We are to find the other binomial.Let the other binomial be x + yi where x and y are real numbers. Then, 7 - 2i + x + yi = 8 - i => (7 + x) + (y - 2)i = 8 - iComparing real and imaginary parts on both sides, we get:7 + x = 8 => x = 1y - 2 = -1 => y = 1Hence, the other binomial is 1 + i.More than 100 words:The sum of two complex numbers is a complex number that is the result of adding two complex numbers. In mathematical notation, we write this as (a + bi) + (c + di) = (a + c) + (b + d)i. In this question, we are given that 8-i is the sum of two complex numbers. Let these two complex numbers be (x + yi) and (7 - 2i).Then, we have (x + yi) + (7 - 2i) = 8 - iExpanding the left-hand side, we get:x + yi + 7 - 2i = 8 - iRearranging the terms, we get:x + 7 + yi - 2i = 8 - iGrouping the real and imaginary parts, we get:x + 7 = 8 (real part)yi - 2i = -1 (imaginary part)Simplifying the first equation, we get:x = 1Substituting x = 1 into the second equation and solving for y, we get:y - 2 = -1y = 1
To know more about binomial visit:
https://brainly.com/question/30339327
#SPJ11
A gecko is in a room that is 12 feet long, 10 feet wide and 8 feet tall. The gecko is currently on a side wall ( by ), one foot from the ceiling and one foot from the back wall ( by ). The gecko spots a fly on the opposite side wall, one foot from the floor and one foot from the front wall. What is the length of the shortest path the gecko can take to reach the fly assuming that it does not jump and can only walk across the ceiling and the walls
Answers
The shortest distance that gecko covers is 22.4 feet.
According to the statement
we have given that the some data and from that we have to ind the height that gecko does not jump.
So, for this purpose,
For the gecko to walk the shortest distance, it has to go straight from where it is to the ceiling, diagonally from the ceiling to the wall where the fly is and straight from the corner of the ceiling to where the fly is.
straight from where it is to the ceiling: 1 feet
diagonally from the ceiling to the wall where the fly:
it is a right triangle hypotenuse what we want, leg 12 and 8.
(see picture attached):
h² = 12² + 8² And
h = √208
h = 14.4 feet
straight from the corner of the ceiling to where the fly is: 7 feet.
1 + 14.4 + 7 = 22.4
It is the shortest distance.
So, The shortest distance that gecko covers is 22.4 feet.
Learn more about shortest distance here
https://brainly.com/question/14770442
#SPJ4
What must a presentation contain to be called a multimedia presentation?
Answers
Answer:
It must include many types of media such as different social media websites.
Step-by-step explanation:
Y = –3x – 5 help I don’t know the answer please
Answers
Answer:
x=-5/3
Step-by-step explanation:
Add 5 to both sides to get 5=-3x.
Then divide by -3.
And get -5/3=x
there are 500 kids voting for the class President. 245 students voted for candidate a while 255 students voted for candidate b. What is the experimental probability of pulling a ballot for candidate a out of the box?
Answers
Answer:
Candidate A has a 49% chance of being picked out of the box
Step-by-step explanation:
245/500= 0.49
0.49 x 100 = 49
49%
WHOEVER ANSWERS FIRST GETS BRAINLIEST!
Jenna has 10 3/4 yards of fabric. She uses 6 2/3 yards to make a banner.
How much fabric is left?
Enter your answer in the box as a mixed number in simplest form and in Yards.
Answers
Answer:
4 1/12 yards of fabric left.
Step-by-step explanation:
First things first: convert the mixed numbers so they have the same denominator
The least common multiple of 4 and 3 is 12, so the common denominator will be 12.
So Jenna has 10 9/12, and uses 6 8/12.
Now subtract:
10 9/12 - 6 8/12 = 4 1/12
So there is 4 1/12 yards of fabric left.
The functions f(x) and g(x) are described using the following equation and table:
f(x) = −4(1.09)x
x g(x)
−4 −10
−2 −7
0 −4
2 1
Which equation best compares the y-intercepts of f(x) and g(x)?
Answers
The value of the y-intercepts of f(x) and g(x) is f(0), g(0) which gives -4.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The y intercept of an equation is the value of the function when x = 0.
Given that f(x) = -4(1.09)ˣ
f(0) = -4(1.09)⁰ = -4
From the table of g(x), when x = 0, g(0) = -4
The value of the y-intercepts of f(x) and g(x) is f(0), g(0) which gives -4.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
A
3
A. 85°
R 9.5°
4
2
1
In the diagram shown, 21 = 24, and 22= 23. The sum of the measures of the four angles is 120°. The measure of
22 is 10° less than the measure of 21. What is the combined measure of angles 1, 2 and 3?
Answers
Given that, In the diagram shown, 21 = 24, and 22= 23. Also, The sum of the measures of the four angles is 120°. So, the correct option is (D) 96.
Let the angles be a, b, c, and d respectively. a = 24° [21=24]d = 22° [22=23 and 22 is 10° less than 21] a+b+c+d = 120°24°+ b + c + 22° = 120°b + c = 74°
Now, to find the combined measure of angles 1, 2, and 3, we need to find the values of a, b, and c first. a = 24° [Already Given] b = 9.5° [as per the given diagram, 2 is perpendicular to 4 and it makes a right angle with 21.
So, 2 is the complementary angle of 21, and 21=85.5 and 2=75. So, 75+9.5=84.5°]c = 62.5° [c = 74 - b]
Therefore, the combined measure of angles 1, 2, and 3 are; = a + b + c= 24° + 9.5° + 62.5°= 96°. Hence, the correct option is (D) 96.
For more questions on: diagram
https://brainly.com/question/30069829
#SPJ8
Jane's salary is increased by 3% to £20497.
how much was her salary before the rise?
Answers
Answer:
19882
Step-by-step explanation:
20497 - 3% = 614
20497 - 614 = 19882
Answer:
x=20,095.09
Step-by-step explanation:
Salary after 3% Increment= £20497
Suppose x was her salary before 3% Increment
x+3% of x=£20497
x+0.03x=£20497
1.03x=£20497
x=£20497/1.02
x=20,095.09
Determine if the two expressions are equivalent and if so name the property that is being used.
52-(43-6) & (52-43) - 6
Answers
Answer: i really dont know
Step-by-step explanation: but 46
A pizza restaurant has hamburger, pepperoni, Canadian bacon, and sausage. How many ways can a three-topping meat pizza be made?
Answers
Answer:
12 ways?
Step-by-step explanation:
Answer and Step-by-step explanation:
The answer is 12.
This is because there are 4 toppings, and we have to make a 3-way topping pizza.
#teamtrees #PAW (Plant And Water)
What goes on the green box
Answers
4 goes in the big gray box
3 goes in the small gray box
The measures of the angles of a triangle are shown in the figure below. Solve for x. 57⁰ 83⁰
Answers
Answer: x=40
Step-by-step explanation:
All angles in a triangle add up to 180 degrees.
The two other angles on their own are 57 and 83 = 140
180-140=40
x = 40 degrees
Answer:
40°
Explanation:
The total angles of all triangles is 180°, so you need to subtract the given angles from 180 to get your missing angle.
180 - 57 = 123 - 83 = 40
At 61°F, a certain insect chirps at a rate of 99 times per minute, and at 64°F, they chirp 117 times per minute. Write an equation in slope-intercept form that represents the situation.
Answers
An equation in slope-intercept form that represents the situation is C(x) = -267 + 6x.
What is the equation in slope intercept form?A linear equation is an equation that has a single variable that is raised to the power of one. When shown on a graph, a linear equation is a straight line that can slope either upward or downward.
The general form of a linear equation is
y = mx + b
Where:
b = intercept y = dependent variable x = independent variable m = slopeSlope = change in the chirps / change in the temperature
Slope = (117 - 99) / (64 - 61)
Slope = 18 / 3
Slope = 6
99 = a + 6x
99 = a + 6(61)
99 = a + 366
a = 99 - 366
a = -267
C(x) = -267 + 6x
To learn more about linear functions, please check: https://brainly.com/question/26434260
#SPJ1
A survey was given to a random sample of 300 voters in the United States to ask about their preference for a presidential candidate. Of those surveyed, 49% of the people said they preferred Candidate A. Determine a 95% confidence interval for the
percentage of people who prefer Candidate A, rounding values to the nearest tenth.
Answers
The 95% confidence interval for the percentage of people who prefer Candidate A is given as follows:
(43.3%, 54.7%).
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The parameters for this problem are given as follows:
\(n = 300, \pi = 0.49\)
Hence the lower bound of the interval is of:
\(0.49 - 1.96\sqrt{\frac{0.49(0.51)}{300}} = 0.433\)
The upper bound of the interval is of:
\(0.49 + 1.96\sqrt{\frac{0.49(0.51)}{300}} = 0.547\)
As a percentage, the proportion is multiplied by 100%, hence the interval is given as follows:
(43.3%, 54.7%).
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
The difference between the length and width of a rectangle is 4 units. The perimeter is 40 units. Enter and solve a system of equations to determine the length and width of the rectangle. (Hint: The perimeter of a rectangle is 2l + 2w.)
Answers
Answer:the length and width of the rectangle are 12 and 8 respectively
Step-by-step explanation:
Step 1
The perimeter of a rectangle is 2l + 2w where l= length and w= width giving us that
2l+2w=P
2l + 2w = 40
2(l+w)= 40
l +w = 20
Also we were given The difference between the length and width of a rectangle is 4 units giving us that
l-w= 4
Here our systems of equation to solve the problem
l-w= 4----- Equation 1
l +w = 20-----Equation 2
Step 2
I-w=4---- Equation 1
l +w = 20---Equation 2
Adding equation 1 and 2
I-w=4
+l +w = 20
2l =24
l=24/2
=l=12
To find w, we put the value of l=12 into equation 1
I-w=4
12-w= 4
w= 12-4
w=8
Therefore the length and width of the rectangle are 12 and 8 respectively
PLEASE HELP ASAP!!!
Answers
Answer:
4. x=0 x=5
5. x=-4 x=8
ravelocity would like to test if the average roundtrip airfare between new york and london differs from $1,400. the correct hypothesis statement for this test would be
Answers
The "hypothesis of no change," "status quo," and "conventional wisdom" are all alternative names for the null hypothesis. Unless there is overwhelming evidence to the contrary, the null hypothesis is assumed to be correct.
H0: u = 1: u ≠ 1,400
When testing hypotheses with the P value, the null hypothesis is rejected if?
The evidence against the null hypothesis is stronger when the p-value is smaller (closer to 0).If the p-esteem is not exactly or equivalent to the predetermined importance level α, the invalid speculation is dismissed;The null hypothesis is not rejected otherwise.
A statement of expectation or prediction that will be tested by research is called a research hypothesis. Read up on the subject that interests you before coming up with your research hypothesis.
Learn more about hypothesis here:
https://brainly.com/question/13025783
#SPJ4
What is 7x + 15 = 9x + 15 - 2x + 1 and how many solutions are there
Answers
Answer:
no solutions
Step-by-step explanation:
7x + 15 = 9x + 15 - 2x + 1
Combine like terms
7x+15 = 7x+16
Subtract 7x from each side
7x+15-7x = 7x+16-7x
15 =16
This is not a true statement so there are no solutions
A two-sided test is performed when we are interested in deviations _____________ from the hypothesized value.
Answers
When we are interested in deviations greater than or less than the hypothesized value, we do a two-sided test.
A two-tailed or two-sided test determines whether a sample is greater than or less than a specific range of values by using a two-sided critical area of distribution.
This test tests the null hypothesis. This test determines whether there is a statistically significant difference between the sample and population mean.
This test also determines whether a claim is true or not.
This test differs from a one-tailed test because one-tailed tests permit the potential for a one-directional effect. But the two-tailed tests examine the potential for two-directional (positive and negative directions) effects.
To know more about the two-tailed test:
https://brainly.com/question/8170655
#SPJ4