Mathematics Middle School

Domingo and Bethany drove along the same highway, in opposite directions. Domingo left at 1 p.m., traveling westbound at 55 mph. Bethany left at the same time, traveling eastbound at 60 mph. Domingo and Bethany were 575 miles apart when they started driving. At what time did they pass each other?

Answers

Answer 1

Step-by-step explanation:

Let's first figure out how far each of them traveled before they meet. Let TIME be the time in hours since they began traveling.

Domingo traveled a distance of 55 * TIME miles

Bethany traveled a distance of 60 * TIME miles

We know that their total distance is 575 miles. So we can write the equation:

55 * TIME + 60 * TIME = 575

Simplifying this equation, we get:

115 * TIME = 575

Dividing both sides by 115, we get:

TIME = 5

So they meet 5 hours after they began traveling. Since Domingo left at 1 p.m., he will meet Bethany at 6 p.m.

Answer 2

They will pass each other at 6 pm.

Given,

Domingo and Bethany drove along the same highway but in opposite direction.

Let's first figure out how far each of them traveled before they meet.

Let x be the time in hours since they began traveling.

Domingo traveled a distance of 55 * x miles

Bethany traveled a distance of 60 * x miles

We know that their total distance is 575 miles. So we can write the equation as,

55 * x + 60 * x = 575

Further simplifying this equation, we get:

115 * x = 575

x = 5

So they meet 5 hours after they began traveling.

Since Domingo left at 1 p.m., he will meet Bethany at 6 p.m.

Learn more about speed, distance, time,

https://brainly.com/question/31756299

#SPJ1

Related Questions

please help i need this bad

Answers

Answer:

?

Step-by-step explanation:

(answer needs to be at least 20 words long)

2) 3 (2.999)
3) 3 (2.958)
4) 2.86 ( 2.815)
5) 2.95 ( 2.949)
6) 3.14 (3.144)
7) 2.84 ( 2.841)

What’s j+12=25 tape diagram

Answers

well you would take 25 and take 12 away. like this: 25-12=? so 25-12 would be 13. therefore j=13!
What is an Equation?

An equation is a mathematical statement that shows two mathematical expressions equal.

An equation consists a variable that does not have a fixed value to it.


Given,

j+12=25

Here ‘j’ is the variable.

To find ‘j’ we just need to 12 from 25.

So, 25 - 12 = 13

Hence, now we know that ‘j’ is equal to 13.


Proof :

13 + 12 = 25



Learn more about Equations here

Visit —

https://brainly.com/question/30511878

https://brainly.com/question/28130925

https://brainly.com/question/31302647

https://brainly.com/question/32040577

https://brainly.com/question/28866068

https://brainly.com/question/30164833

https://brainly.com/question/28715737

https://brainly.com/question/30129653

https://brainly.com/question/29256626

https://brainly.com/question/31303773

Hope my answer helps you✌️

Mark BRAINLIEST

PLEASE HELP!! ???? DONT KNOW THIS

Answers

Answer:

Here's the solution I created on Overleaf:

The answer is 29 I believe!
Other Questions
The average salary for American college graduates is $42,000. You suspect that the average is less for graduates from your college. The 41 randomly selected graduates from your college had an average salary of $36,376 and a standard deviation of $16,090. What can be concluded at the = 0.10 level of significance?For this study, we should use Select an answer z-test for a population proportion t-test for a population meanThe null and alternative hypotheses would be:H0:H0: ? p Select an answer < > = H1:H1: ? p Select an answer > < = The test statistic ? z t = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? > Based on this, we should Select an answer accept reject fail to reject the null hypothesis.Thus, the final conclusion is that ...The data suggest that the sample mean is not significantly less than 42,000 at = 0.10, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is less than 36,376.The data suggest that the populaton mean is significantly less than 42,000 at = 0.10, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is less than 42,000.The data suggest that the population mean is not significantly less than 42,000 at = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is less than 42,000.Interpret the p-value in the context of the study.If the population mean salary for graduates from your college is $42,000 and if another 41 graduates from your college are surveyed then there would be a 1.54254458% chance that the sample mean for these 41 graduates from your college would be less than $36,376.There is a 1.54254458% chance of a Type I error.There is a 1.54254458% chance that the population mean salary for graduates from your college is less than $42,000.If the population mean salary for graduates from your college is $42,000 and if another 41 graduates from your college are surveyed then there would be a 1.54254458% chance that the population mean salary for graduates from your college would be less than $42,000.Interpret the level of significance in the context of the study.There is a 10% chance that your won't graduate, so what's the point?There is a 10% chance that the population mean salary for graduates from your college is less than $42,000.If the population population mean salary for graduates from your college is less than $42,000 and if another 41 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean salary for graduates from your college is equal to $42,000.If the population mean salary for graduates from your college is $42,000 and if another 41 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean salary for graduates from your college is less than $42,000. as a factor of production, capital includes money. group of answer choices Suppose that you are considering subscribing to Economist Analyst Today magazine. The magazine is advertising a one-year subscription for $90 or a two-year subscription for $176. You plan to keep getting the magazine for at least two years. The advertisement says that a two-year subscription saves you $4 compared to buying two successive one-year subscriptions. If the interest rate is 12%, should you subscribe for one year or for two years? (Assume that one year from now a one-year subscription will still be $90.) A. You should subscribe for one year. B. You should subscribe for two years. Commons, Inc. provides the following information for 2024: Net income $34,000 Market price per share of common stock $18/share Dividends paid $0.85/share Common stock outstanding at Jan. 1, 2024 130,000 shares Common stock outstanding at Dec. 31, 2024 170,000 shares The company has no preferred stock outstanding. Calculate the dividend yield for common stock. (Round your answer to two decimal places.) O A. 4.72% OB. 4.96% O C. 3.44% OD. 1.28% $1.2 million revolving credit at 12% stated interest rate for 1 year; borrowing for the year was $900,000; a required 6% compensating balance on borrowed funds; and a 0.6% commitment fee on $300,000 of unused credit. What is the cost of borrowing? 7 Solve the given equation by using Laplace transforms: y"+4y=3H(t-4) The initial values of the equation are y(0) = 1 and y'(0) = 0. (9) tan (x) = cot t (x) - 2 cotx. (a) Show that tan (b) Find the sum of the series 1 tan 2n 2n n=1 Consider the data points p and q: p=(2, 19) and q = (13,6). Compute the Euclidean distance between p and q. Round the result to one decimal place. Let A = {x | x 4} and B = {x |x 1 }. Define a function from A to B by f(x) =x/x+3. If it exists find its inverse. A market research company randomly divides 12 stores from a large grocery chain into three groups of four stores each in order to compare the effect on mean sales of three different types of displays. The company uses display type I in four of the stores, display type Il in four others, and display type Ill in the remaining four stores. Then it records the amount of sales (in $1,000's) during a one- month period at each of the twelve stores. The table shown below reports the sales information. Display Type Display Type II Display Type III 90 135 160 135 130 150 135 130 130 115 120 145 By using ANOVA, we wish to test the null hypothesis that the means of the three corresponding populations are equal. The significance level is 1%. Assume that all assumptions to apply ANOVA are true. The value of SSW, rounded to two decimal places, is: i A lottery scratch-off ticket offers the following payout amounts and respective probabilities. What is the expected payout of the game? Round your answer to the nearest cent Probability Payout Amount 0.699 50 0.25 $5 0.05 $1,000 0.001 $10,000 Provide your answer below: which generational group is most comfortable using digital technologies? 1 R 3 quotient as a mixed number "please help me on this review question!Which definite integral is equivalent to lim n[infinity] [1/n (1+1/n) + (1+2/n) + .... + (1+n/n))] ? Using your calculator, find the standard deviation and variance of the sample data shown below. X 8.5 9 2.7 29.3 18.2 23.5 16.5 Standard deviation, s: Round to two decimal places. Variance, : Round to one decimal place. (a) Find all the roots (real and complex) of f(1) = 14 + 3r3 7x2 71 +2. (b) Using the Binomial Theorem expand and simplify: (x + 5y) 4. ALGEBRA (a) Find the sum 54(2)k-1. You may leave your answer unsimplified. (b) Expand completely using properties of logarithms: log2 y V1-1 z(y2 +1) 5. VERIFYING/SHOWING sec-1 Verify the trigonometric identity: secar = sin How does this document follow the process of creating the New Mexico Water Planning Assistance Act? 9. use the below table for all questionaBarb Muller wins the lottery. She wins $20,000 per year to bepaid for 10 years. The state offers her the choice of a cash settlement now instead oFuture Value of $1 Per. 1% 2% 3% 4% 5% 6% 7% 8% 9% 10% 11% 1 1.010 1.030 1.040 1.050 1.060 1.070 1.080 1.090 1.100 1.120 2 1.020 3 1.030 4 1.041 1.020 1.040 1.061 1.061 1.093 1.082 1.126 1.170 1.051 1 The hypotheses for this problem are: H0: = 47 H1: > 47 a) Find the test statistic. Round answer to 4 decimal places. Answer: b) Find the p-value. Round answer to 4 decimal places. Answer: c) What is the correct decision? Accept H0 Do not reject H1 Reject H1 Reject H0 Do not reject H0 d) What is the correct summary? There is not enough evidence to support the claim that the mean workweek for employees at start-up companies work more than 47 hours. There is enough evidence to support the claim that the mean workweek for employees at start-up companies work more than 47 hours. 1. A Maths test is to consist of 10 questions. What is the probability that the shortest and longest questions are next to one another?1st method:Group the shortest and longest questions together, so this group can be arranged in 2! ways. Then, there are 9 groups (the 8 other questions are their own individual group), and these 9 groups can be arranged in 9! ways. Since there are 10! total ways of arranging these 10 questions, the answer is (2! x 9!)/10! = 1/5. This is the correct answer.Alternate 2nd method:Group the shortest and longest questions together, and also group the other 8 questions together. These groups can be arranged in 2! and 8! ways, respectively. These groups can also be swapped around, so in 2! ways. Total number of ways is still 10!, so the answer for this method is (2! x 8! x 2!)/10! = 2/45.Why doesn't the second alternate method give the same result as the first method?