Answers
Related Questions
Find the slope of the line that passes through (8, 10) and (1, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
The slope of the line that passes through (8, 10) and (1, 1) is 9/7.
Explanation:To find the slope of a line that passes through two given points, (x1, y1) and (x2, y2), we use the formula:
m = (y2 - y1) / (x2 - x1)
Using the given points (8, 10) and (1, 1), we substitute the coordinates into the formula:
m = (1 - 10) / (1 - 8) = -9 / -7 = 9/7
Therefore, the slope of the line that passes through (8, 10) and (1, 1) is 9/7.
Learn more about slope here:https://brainly.com/question/19131126
#SPJ2
The slope of the line that passes through the points (8, 10) and (1, 1) is calculated using the slope formula and it comes out to be 9/7, which is an improper fraction.
To find the slope of a line passing through two points, you use the slope formula:
Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)
For the points (8, 10) and (1, 1), we calculate the slope as follows:
m = (1 - 10) / (1 - 8)
m = (-9) / (-7)
m = 9/7
Therefore, the slope of the line that passes through (8, 10) and (1, 1) is 9/7, which is an improper fraction.
A wedding dress is on sale for $225.00,which is 25% off of the original price. What was the original price. how do you solve this?
Answers
Answer:
$300
Step-by-step explanation:
Write an equation for the the sale price in terms of the original price. Then solve for the original price.
sale price = (original price) - (percent off) × (original price)
Factoring out the (original price), we have ...
sale price = (original price) × (1 - percent off)
We can find the original price by dividing this equation by (1 - percent off).
(sale price)/(1 -percent off) = original price
Putting in the numbers, we get ...
$225/(1 -25%) = original price
$225/(1 - 25/100) = $225/(1 -0.25) = $225/0.75 = original price = $300
Suppose the constant rate of change of y with respect to x is 8.5, and the value of y is 5 when the value of x is 11. what is the value of y when the value of x is 19? what is the value of y when the value of x is –1? what is the value of x when the value of y is 7?
Answers
Answer:
(x, y) = (19, 73)(x, y) = (-1, -97)(x, y) = (11 4/17, 7)Step-by-step explanation:
You are given a point and a slope, so you can write the linear equation relating x and y using the point-slope form of the equation for a line. That form for slope m and point (h, k) is ...
y = m(x -h) +k
For your given values, m = 8.5, and (h, k) = (11, 5), the equation relating x and y can be written ...
y = 8.5(x -11) +5
___
Evaluating this for several different x-values can be done with a spreadsheet or calculator. I like to write the function into a graphing calculator and let it do the tedious arithmetic. (See the attachment.)
However, to show you what is involved in doing this by hand, we can ...
let x = 19, then ...
y = 8.5(19 -11) +5 = 8.5·8 +5 = 73
__
let x = -1, then ...
y = 8.5(-1-11) +5 = 8.5·(-12) +5 = -97
____
To find the value of x for y=7, we can realize that to make y go up by 2 (from the given point of 5), we need to have x go up by 2/8.5 (from the given point of 11). That is ...
for y = 7 ...
x = 11 + 2/8.5 = 11 + 4/17 = 11 4/17
To determine values for y based on x in a linear function, use the equation derived. For x = 19, y equals 73; for x = -1, y equals -97. Solving for x when y is 7 gives approximately 11.24.
To solve the given problem, we use the concept of a linear function which states that the change in y with respect to x is constant. Here, the constant rate of change (slope) is given as 8.5.
We can express the linear relationship in the form of the equation:
y = 8.5x + b
We are also given a point on the line: (11, 5). Plugging these values into the equation to find b:
5 = 8.5(11) + b
5 = 93.5 + b
Subtract 93.5 from both sides:
b = 5 - 93.5 = -88.5
So, the equation becomes:
y = 8.5x - 88.5
Now, let's find the values of y for the given x values:
When x = 19: y = 8.5(19) - 88.5 = 161.5 - 88.5 = 73When x = -1: y = 8.5(-1) - 88.5 = -8.5 - 88.5 = -97To find the value of x when y = 7, we can rearrange the equation:
7 = 8.5x - 88.5
Add 88.5 to both sides:
95.5 = 8.5x
Divide by 8.5:
x = 95.5 / 8.5 = 11.2353 (approximately)
Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, two white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She does not have all the red ones.
Answers
Number of marbles taken by her = 8
We have to find the probability that she does not get red.
Instead we find the probability of getting red and then we can take the complement of (getting red)
Now probability of getting red is given as:
No. Of favourable outcomes = Choose 8 out of 11= 8 C 11= (11!)/(8! * 3!)
= 165
Now to choose red balls, she will choose 4 red balls from 4 red balls and other 4 from remaining 8.
4 C 4 * 4C 8 = 70
Probability ( getting red) = 70/165
Therefore, probability (not getting red) = 1- (70/165) = 95/165 = 19/33
2x + 5y = −13 3x − 4y = −8
Answers
8x+20y=-52
____________
23x=-92
x=-4
-8+5y=-13
5y=-5
y=-1
(-4,-1)
Which is a better investment 8.3% compounded annually or 8% compounded quarterly.
Answers
Using compound interest, the better investment is of 8.3% compounded annually.
What is compound interest?The amount of money earned, in compound interest, after t years of the investment, is given by the following formula:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which the parameters are given as follows:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.For the first option, of 8.3% compounded annually, the multiplier after each year is given as follows:
[tex](1 + \frac{0.083}{1}\right)^{1} = 1.083[/tex]
As the parameters are r = 0.083, n = 1.
For the second option, the parameters are given as follows:
r = 0.08, n = 4.
Hence the multiplier after each year of the investment is given by:
[tex](1 + \frac{0.08}{12}\right)^{12} = 1.0829[/tex]
Due to the higher multiplier, the first option is better, that is, 8.3% compounded annually.
More can be learned about compound interest at https://brainly.com/question/24924853
#SPJ1
The 8% compounded quarterly has a higher effective annual rate than 8.3% compounded annually, thereby making it the better investment choice.
To determine which investment is better, we need to compare the effective annual rates (EAR) of the two options: 8.3% compounded annually vs. 8% compounded quarterly. The formula for EAR is (1 + i/n)n - 1, where i represents the interest rate and n is the number of compounding periods per year.
For the 8.3% compounded annually, the EAR is straightforward: (1 + 0.083/1)1 - 1 = 0.083 or 8.3%.
For the 8% compounded quarterly, we calculate the EAR as follows: (1 + 0.08/4)4 - 1 = (1 + 0.02)4 - 1 = (1.02)4 - 1 = 1.082432 - 1 = 0.082432 or 8.2432%.
Comparing the two EARs, the 8% compounded quarterly has a higher effective annual rate than the 8.3% compounded annually, making it the better investment.
Ellen drove 220 miles in 3.5hours. To the nearest tenth, find Ellen's average speed in miles per hours
Answers
divide total miles by time:
220 / 3.5 = 62.857
rounded to nearest tenth = 62.9 miles per hour
A 5000 seat theater has tickets at $27 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $158,400
Answers
x = the number of tickets sold at $27 each
y = the number of tickets sold at $40 each
Because 5000 tickets were sold, therefore
x + y = 5000 (1)
Because the revenue generated was $158,400, therefore
27x + 40y = 158400 (2)
From (1),
y = 5000 - x (3)
Substitute (3) into (2).
27x + 40(5000 - x) = 158400
-13x + 200000 = 158400
-13x = -41600
x = 3200
y = 5000 - x = 5000 - 3200 = 1800
Answer:
3200 tickets at $27 each, and
1800 tickets at $40 each
This math problem can be solved by setting up a system of linear equations. Designate the number of $27 tickets as x and the number of $40 tickets as y. You then form two equations, one for the total number of tickets (x + y = 5000) and one for the total revenue (27x + 40y = 158400). Solve these equations to determine how many of each ticket should be sold.
Explanation:The subject of this question is a problem in algebra, specifically a system of linear equations. Let's denote the number of $27 tickets as x and the number of $40 tickets as y. The total number of tickets sold will be 5000. So, we have our first equation: x + y = 5000. The total revenue is $158,400. The revenue from $27 tickets will be $27x and the revenue from $40 tickets will be $40y. So, we have our second equation: 27x + 40y = 158400. Now, we have a system of linear equations which can be solved to find the number of each ticket type that should be sold. Solve these equations to get the desired quantity of ticket type for generating the required total revenue.
Learn more about Linear Equations here:
https://brainly.com/question/32634451
#SPJ11
I need help answering this question.
Answers
She already completed 4 semesters in which she receives 15 credit per semester.
This expression can be written as 4(15).
She needs to do a certain remaining hours of credit which can be represented by c and only c without any other coefficient.
So, the most reasonable choice here is A.
y varies jointly as x and z. y equals 80y=80 when x equals 5x=5 and z equals 4z=4. Find y when x equals 4x=4 and z equals 6z=6.
Answers
[tex]\bf \textit{\underline{y} varies jointly as \underline{x} and \underline{z}}\implies y=kxz \\\\\\ \textit{we also know that } \begin{cases} y=80\\ x=5\\ z=4 \end{cases}\implies 80=k(5)(4)\implies 80=20k \\\\\\ \cfrac{80}{20}=k\implies 4=k\qquad thus\qquad \boxed{y=4xz}\\\\ -------------------------------\\\\ if~\begin{cases} x=4\\ z=6 \end{cases}~\textit{what is \underline{y}?}\qquad y=4(4)(6)[/tex]
Find the difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08,
11.5, and 16.712.
A. 4.489
B. 6.511
C. 47.2208
D. 58.3108
Answers
26.22 * 3.09 = 81.0198
The sum of 3.507, 2.08, 11.5, and 16.712 is:
3.507+ 2.08 +11.5+ 16.712 = 33.799
The difference between the product and the sum is:
81.0198 - 33.799 = 47.2208
12 ch 5 warm up: people's weights (java) (1) prompt the user to enter five numbers, being five people's weights. store the numbers in an array of doubles. output the array's numbers on one line, each number followed by one space. (2 pts) ex: enter weight 1: 236.0 enter weight 2: 89.5 enter weight 3: 142.0 enter weight 4:
Answers
Final answer:
The code provided guides the user through entering five weights using a Scanner object, stores them in a double array, and then prints them all on one line separated by spaces.
Explanation:
To address the question of prompting the user to enter five people's weights and storing them in an array of doubles in Java, we need to provide a short piece of code executing this task.
The code will look something like this:
import java.util.Scanner;
class Main {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
double[] weights = new double[5];
for(int i = 0; i < weights.length; i++) {
System.out.println("Enter weight " + (i+1) + ": ");
weights[i] = scanner.nextDouble();
}
System.out.println("The entered weights are:");
for(double weight : weights) {
System.out.print(weight + " ");
}
}
}
This code initializes a Scanner to take user input, creates an array of doubles to store the weights, and uses a for loop to iterate over the array, prompting the user to enter a weight for each element. It then prints out each weight followed by a space.
Find the GCF of 30 * 3 and 12 * 4
Answers
2x6
3x4 GCF:3
3x10
1x30
5x6
Answer:
3
Step-by-step explanation:
20 POINTS PLEASE HELP, need it tonight
A system of equations is graphed on the coordinate plane.
2y=3x−14
y=6x−2
A. No solution
B. One solution
C. Infinitely many solutions
Answers
2(6x - 2) = 3x - 14
Simplifying,
12x - 4 = 3x - 14
x = -10/9
Calculating for the value of y,
y = 6(-10/9) - 2
y = -26/3
The solution of the system of linear equation is then (-10/9, -26/3).
Answer:
A
Step-by-step explanation:
What temperature is ten degrees higher than -7°C ?
Answers
So, if I understand this correctly, you are asking what temperature is ten degrees higher than -7°C.
Basically, all you are doing is -7 + 10.
If you add 10 to -7, it cancels out the negative, and makes it positive, because 10 is greater than -7.
Once the -7 is cancelled out, you have 3 remaining. 0 + 3 = 3.
Therefore, the temperature that is 10 degrees higher than -7°C is 3°C.
X=3°C
Hope this helped!
Regards,
KayEmQue
To pass a math test, students must correctly answer at least 0.6 of the questions. Donald’s score is 5/8, Karen score is 0.88, Ginosscore is 3/5 and Sierra score is 4/5. How many of the students passed the test
Answers
Answer: All students passed except Gino
Step-by-step explanation:
What is the interquartile range of this data set 1,5, 12, 14, 29,45,48,61,72,84,96
Answers
Lower quartile = 3rd number = 12
Upper quartile = 8th number = 72
Interquartile range = 72-12 = 60
The interquartile range of the data set is 60
What is the interquartile range of the data set?The interquartile range of the data set is the difference between the lower quartile (Q1) and the upper quartile (Q3)
From the given information:
Data set = 1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96We need to first identify the middle number(median) = 45
Thus:
Q1 = (1+ 5+ 12+ 14+ 29)/5Q1 = 12.2Q3 = (48+ 61+ 72+ 84+ 96)/5Q3 = 72.2IQR = 72.2 - 12.2
IQR = 60
Learn more about the interquartile range here:
https://brainly.com/question/12568713
#SPJ2
Martha, Lee, Nancy, Paul, and Armando have all been invited to a dinner party. They arrive randomly and each person arrives at a different time In how many ways can they arrive?
Answers
The local drugstore is offering 15% off the normal price for a 16-pack of AAA batteries. If a 16-pack of AAA batteries is normally $9.99, what would be the sale price for the batteries after the discount?
Answers
Answer:
D: $8.95
Step-by-step explanation:
step 1
Calculate what 15% of the normal price is.
15% as a decimal is 0.15. Multiply this by $9.99.
0.15⋅$9.99 = $1.4985
step 2
Subtract $9.99 by $1.4985 and round the difference to the nearest cent.
$9.99 − $1.4985 = $8.4915 ≈ $8.49
step 3
Match your solution to the correct answer choice.
Answer choice D is the only answer choice that matches your solution. Select answer choice D and move on to the next question.
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, −3)?
a; y + 3 = −4(x + 4)
b; y + 3 = –1/4(x + 4)
c; y + 3 = 1/4(x + 4)
d; y + 3 = 4(x + 4)
Answers
please help solve this equation
Answers
and the interior angles of a triangle = 180
< x + 105 + 32 = 180
< x + 137 = 180
< x = 180 - 137
< x = 43 <==
180-75=105
105+32=137
180-137=43
x=43
Let [n] = 1 if n is odd and 0 if n is even, for all positive integer n. if [n] * [n+8] = 0, then what is one possible value of n?
Answers
if either or both of [tex][n][/tex] and [tex][n+8][/tex] are 0, i.e. if one or both of [tex]n[/tex] and [tex]n+8[/tex] are even. But both will be even if [tex]n[/tex] is even, and odd otherwise, so any even [tex]n[/tex] will be a solution, e.g. [tex]n=2[/tex].
(3.6)^x=45 solve the exponential equation?
Answers
(3.6)^x = 45
We wanna start by taking log of both sides.
log(3.6)^x = log(45)
x * (log(3.6))= log (45)
x = log(45)/log(3.6)
x = 2.971787
Thus, the correct answer is x = 2.97
I hope this helps!
A sample size of 500 is sufficiently large enough to conclude that the sampling distribution of the sample proportions is a normal distribution, when the estimate of the population proportion is .995.
Answers
In a statistical test, the null hypothesis to be made is that the sample proportions do not have any significant differences, which means an equal distribution. This is only rejected when the estimate is equal or less than 0.95. But since in this case it is >0.95, so therefore the null hypothesis is not rejected. Therefore:
False
A box of packaged snacks contains 6 individual bags and costs $5.40. Each individual bag contains 18 crackers. What is the cost per cracker?
Answers
The cost per cracker from a box of 6 individual bags costing $5.40, with each bag containing 18 crackers, is $0.05.
Explanation:In the process of calculating the cost per cracker, the initial step involves determining the cost per bag. This is accomplished by dividing the total cost of the box, which amounts to $5.40, by the number of bags contained within, totaling 6 bags. Consequently, the cost per bag is determined to be $0.90. Subsequently, to ascertain the cost per individual cracker, the cost per bag is further divided by the number of crackers present in each bag, which is 18. Following this calculation, it is established that each cracker costs $0.05. In essence, the cost analysis method involves dividing the total box cost by the number of bags to derive the cost per bag, and then dividing this value by the number of crackers per bag to determine the precise cost per cracker, amounting to 5 cents per cracker.
Learn more about Cost per unit here:https://brainly.com/question/29355214
#SPJ12
In 10 minutes a heart can beat 700 times. At what rate can a heart beat?
Answers
Heart will beat 140 times in 2 minutes.
Heart beats at a rate of 70 beats per minute.
(How it's done down below)
In 0 minutes heart beats 700 times
hence in 1 minute it will beat 700/10=70 times
and heart will beat 140 times in 140/70=2 minutes
Heartbeats at a rate of 70 beats per minute.
Explanation:In 10 minutes heart beats 700 times
hence in 1 minute it will beat 700 ÷ 10=70 times
solve the exponential equation. express the solution set in terms of natural logarithms 5^×+7=2
Answers
the known number is in the exponent, so use log to solve
Log both sides: log5^(x+7)=log2
(x+7)log5=log2
x+7=log2/log5
x=log2/log5 -7
the result needs to be logarithms, so the above is your final answer
Rosa and Albert receive the same amount of allowance each week. The table shows what part of their allowance they each spent on video games and pizza.
C. Who spent the greater part of their total allowance? How do you know?
Answers
2/5 = 0.40
.4 + .5 = .9
.5 + .25 = .75
Therefore, Rosa spent the greater part of her allowance on pizza and video games.
On Thursday, a local hamburger shop sold a combined total of 258 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the numbers of hamburgers sold. How many hamburgers were sold on Thursday?
Answers
3h=258
h=86
86 hamburgers were sold
a football game had 20 and 2/3 minutes of commercials in the first 1 1/4 hours it was on at that rate how many minutes of commercials will be shown in three and a half hours