Jimmy and his family are on their way to visit some family friends who live
780 miles away from them. Based on the route they chose, they expect to
complete their trip in three days. The distances and average speeds for the
first two days driven are shown below.
• First day: 4 hours at an average speed of 60 miles per hour
• Second day: 6 hours at an average speed of 65 miles per hour
If the average speed on the third day is 60 miles per hour, how many more
hours will it take for them to reach their family friends’ home?
Answers
If they drive an average of 60 miles per hour the last day it will take them 2.5 hours.
4 hours at 60 miles per hour = 4*60 = 240 miles6 hours at 65 miles per hour = 6*65 = 390 miles
This is a total of 630 miles. There are 780-630=150 miles left; if they average 60 miles per hour, that would be 150/60 = 2.5 hours.
Hope this helps!
Related Questions
What is the perimeter of a parallelogram measuring 5 ft. x 9 ft.?
Answers
P=5+5+9+9
P=28 ft
the perimeter = 2*9 + 2*5 = 28 ft Answer
73×34=73×(30+4)=(73×)+(73×)=
Answers
73×34= 2482
73×(30+4)= 2482
And I'm not sure what you mean by (73×)+(73×)=?
If this helped, please give me brainliest :)
A basketball coach keeps track of points scored per game for all of her players. she gives a trophy to the player with the highest mean score at the end of the season. which of the following justifies why she uses the mean instead of the median?
A. the mean and median give the same information, so it doesn't matter which one she chooses.
B. she wants to take unusually good or bad games into account
C. she wants to remove unusually good and bad games from consideration.
Answers
Answer:
B lol
Step-by-step explanation:
don't ask me
The coach uses the mean to track player scores because it incorporates all scores, including unusually high or low ones, giving credit for exceptional performances. The median would only consider the middle score and discard extremes.
Explanation:The basketball coach uses the mean instead of the median to keep track of points scored per game for all her players because she wants to take unusually good or bad games into account (option B). The mean is calculated by adding up all the scores and dividing by the total number of games, so each game's score has a direct impact on the result. In contrast, the median only considers the middle score and discards extreme values, making it less sensitive to unusually high or low scores.
For instance, if a player scores 30 points in one game and then 10 points in each of the next nine games, their mean score would be (30 + 9*10)/10 = 13 points per game. In contrast, their median score would be 10 points per game because that's the middle value when all scores are listed in numerical order. Therefore, the choice to use the mean allows the coach to give credit for exceptional performances.
Learn more about Mean vs Median here:https://brainly.com/question/31609872
#SPJ6
The standard tip in a restaurant is 15% of the bill before tax. Many people in California find the tip by doubling the sales tax, which is 8.25%. By how many cents does this exceed the standard tip on a bill of 60% before tax?
Answers
The other strategy would be to find the difference on the percents and then multiply by $60. a. 8.25%x2=16.5%-15%. Difference of 1.5%. b. 0.015 x $60=$0.90.
Answer:
90¢
Step-by-step explanation:
The percent paid by many people in California is [tex]$16.50\%$, or $1.50\%$[/tex] more of the bill than the standard tip. Thus the total difference is [tex]$\$60\cdot 0.015 = \$0.90$[/tex], or [tex]$\boxed{90}$[/tex] cents.
Hope this helped! :)
a line's slope is 5, and its y-intercept is 6. what is its equation slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
Answers
because the slope intercept form is y = mx +b
where m is the slope and b is the y intercept
Hope i helped
Our slope is 5, so our equation so far is
y = 5x + b
Now substitute y-intercept for b
y = 5x + 6
this is your equation
Find the surface area of a pyramid with base sides of 6 inches and a slant height of 12 inches.
Answers
The area of base:
[tex]B=6^2=36\ in^2[/tex]
The area of one side:
[tex]S=\dfrac{1}{2}\cdot6\cdot12=36\ in^2[/tex]
The surface area:
[tex]SA=B+4S\to SA=36+4\cdot36=180\ in^2[/tex]
A triangle has sides with lengths of 60 centimeters, 63 centimeters, and 87 centimeters. Is it a right triangle
Answers
[tex]60^2+63^2 = 87^2[/tex]
[tex]7569 = 7569[/tex]
This is, indeed correct, thus, this is a right triangle.
Since the given lengths satisfied the Pythagorean theorem then the given triangle is a right angled triangle.
Use the concept of the triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
And the Pythagoras theorem for a right angled triangle is also defined as:
(Hypotenuse)²= (Perpendicular)² + (Base)²
The given length of sides are:
60 centimeters, 63 centimeters, and 87 centimeters.
Now take,
Hypotenuse = 87 cm
Base = 63 cm
Perpendicular = 60 cm
Apply the Pythagorean theorem,
87² = 60² + 63²
Calculating it,
7569 = 7569
Since the given sides satisfied the Pythagorean theorem,
Hence,
The triangle is a right angled triangle.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ4
please show steps to solve y=3\2x-2 y=x+2
Answers
y = x + 2
3/2x - 2 = x + 2
Then you can simplify your equation by multiplying both sides by 2 to eliminate the fraction which will give you:
3x - 4 = 2x + 4
Add the -4 to the other side to get 8 and subtract the 2x from the 3x so you have:
x = 8 Now solve for y by substituting your value for x into the other equation:
y = 3/2(8) - 2 Simplify by combining your numbers and you get:
y = 10 Check your answer by substituting y and x into the original equation:
(10) = (8) - 2
Correctly done! So your answers are x = 8 and y = 10
Help Find X
I am lost
Answers
Point B, located at (-4, -7), is reflected over the y-axis. What are the coordinates of B'?
(-4, 7)
(4, -7)
(4, 7)
(-4, -7)
Answers
Answer:
(4, -7)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x,y)→(−x,y). So (-4, -7)=(--4, -7) since the 2 negatives cancel out the new coordinates are (4, -7)
Please answer asap 1 thru 6 please
Answers
V = πr²h
V = (3.14)(2)²(5)
V = 62.8 in³
2)
V = 1/3πr²h
V = 1/3(3.14)(4)²(8)
V = 133.97 in³
3) Sum of the interior angles of a triangle are 180. So we can add the two given angles and subtract the sum by 180 to find the unknown angle.
180 - (93+48) = C
180 - (141) = C
39 = C
4)
V = 4/3πr³
V = 4/3(3.14)(4)³
V = 267.95 cm³
5)
V = πr²h
V = (3.14)(3)²(12)
V = 339.12 ft³
6)
V = 4/3πr³
V = 4/3(3.14)(9)³
V = 3,052.08 cm³
Hope this helps :)
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
Answers
f(1)=36+2
f(1)=38
f(2)=4(2+2+7)-2(2)+8-4
f(2)=44
Can somebody help me with this homework
Answers
Hope this helps :)
Can the sides of a triangle have lengths 41, 37, and 19?
Answers
What is the first quartile, Q1, of the data represented by the box plot?
Enter your answer in the box.
Answers
the minimum, the first quartile (also called the lower quartile), the median (the second quartile), the upper quartile (the 3rd quartile), and the maximum.
the first quartile is 12.5 in this case.
Attila the Hun was a ruler of the Hunnic Empire. The Romans feared him greatly until his death since he made quite a habit of invading. The Romans no longer feared him after his death in 453. Let xxx represent any year. Write an inequality in terms of xxx and 453 that is true only for values of xxx that represent years after the year that Attila died.
Answers
Attila the Hun died in 453.
Let x represents the year.
So the inequality for will be 453<x.
Explanation:
Here x will be smaller than 453 because Hun was dead in 453. So 453 and any number smaller than that would be the times in his life that he would have been feared.
Suppose the value of x is greater than 453, then the Romans didn't fear him because after 453 he was dead.
Research scientists need a certain type of bacteria to conduct an experiment. There are 100 bacteria in a certain culture. The culture grows at a rate of 70% daily. The scientists need at least 1,400 bacteria to conduct an experiment. What is the least number of days they must wait for the bacteria culture to reach a quantity of 1,400? (Hint: use a guess-and-check method to determine the lowest number of days that satisfy the requirement.) A. 4 days B. 5 days C. 6 days D. 7 days
Answers
100 - 170 - 289 - 491.4 - 835.21 - 1419.8
A researcher randomly surveyed two separate age groups to determine the number of hours teens spend on the Internet each week. The results are shown in this table. 13- to 14-year-olds 12 8 7 8 9 6 7 7 9 10 15- to 16-year-olds 15 6 21 12 13 12 8 9 7 10 Based on these results, which conclusions can you draw about these two groups of teens? Select each correct answer.
A. On average, 15- to 16-year-olds spend a few hours more on the Internet each week compared to 13- to 14-year-olds.
B. On average, 15- to 16-year-olds spend a few hours less on the Internet each week compared to 13- to 14-year-olds.
C. On average, the two groups of teens spend about the same amount of time each week on the Internet.
D. The amount of time that 15- to 16-year-olds spend on the Internet each week is more variable than the amount time 13- to 14-year-olds spend.
E. The amount of time 15- to 16-year-olds spend on the Internet each week is less variable than the amount time 13- to 14-year-olds spend.
F. The amount of time that the two groups spend on the Internet each week varies by about the same amount.
Answers
Answer:
Option A and D.
Step-by-step explanation:
In this question the given table is of two separate age groups to determine the number of hours teens spent on the internet each week.
From the table
average hours spent by teens between the age of 13-14 years old
= (12+8+7+8+9+6+7+7+9+10+15)/10 = 83/10 = 8.3 hours
average hours spent by teens between age of 15-16 years old
=(15+6+21+12+13+12+8+9+7+10)/10 = 113/10 = 11.3 hours
From these averages we can conclude
A) 15-16 year old spend a few hours more than 13-14 year old teens.
D. The amount that 15-16 year old teens spend on internet is more variable than the time spent by 13-14 years old.
Option A and D are the correct options.
How to write 8/12 as a product of a whole number and a unit fraction
Answers
peggy is five years older than peter and susan is two years younger than peter the sum of their ages is 15 years how old is each child
Answers
Peter is 4 years old, Peggy is 9 years old, and Susan is 2 years old.
Let's denote Peter's age as ( P ) years. Based on the given information:
1. Peggy is five years older than Peter, so Peggy's age is ( P + 5 ) years.
2. Susan is two years younger than Peter, so Susan's age is ( P - 2 ) years.
The sum of their ages is given as 15 years:
[tex]\[ P + (P + 5) + (P - 2) = 15 \][/tex]
Now, simplify and solve for \( P \):
[tex]\[ 3P + 3 = 15 \]\[ 3P = 12 \]\[ P = 4 \][/tex]
So, Peter is 4 years old. Using this information, we can find Peggy's age[tex](\( P + 5 \)) and Susan's age (\( P - 2 \)):[/tex]
- Peggy: ( 4 + 5 = 9 ) years old
- Susan: ( 4 - 2 = 2 ) years old
Therefore, Peter is 4 years old, Peggy is 9 years old, and Susan is 2 years old.
hurry........plz asap The owner of a bookstore predicts that over 50% of the books she sells each week are fiction books. To test this prediction, the owner randomly selects 150 books out of the total number of books sold for a week and records the type of each book. The table shows the results of samples taken for 2 separate weeks.
Based on these samples, is the owner's prediction correct? Select from the drop-down menus to correctly answer the question.
The owner's prediction is Correct/Not Correct . Based on the samples,
about 17% of the books sold each week are fiction books.
35%
53%
70%
Answers
Answer:
The owner's prediction is Not Correct .. Based on the samples, about 35% of the books sold each week are fiction books.Step-by-step explanation:
The owner of a bookstore predicts that over 50% of the books she sells each week are fiction books.
Based on the table of randomly selected sample we see that in week 1 there are 50 fiction books out of total 150 books.
so, the percentage of fiction books are:
[tex]\dfrac{50}{150}\times 100\\\\=33.33\%[/tex]
Similarly in the second week i.e. week 2 the number of fiction books are 55 out of 150 books so, the percentage of fiction books in week 2 are:
[tex]\dfrac{55}{150}\times 100\\\\=36.66\%[/tex]
Hence,
The owner's prediction is Not Correct .. Based on the samples, about 35% of the books sold each week are fiction books.
Graph y= 2x-2 with the domain (1,2,3)
Answers
To graph by hand find the values at 1 and 3 by plugging it into the original function and drawing a line between the two.
2(1)-2 = 0 Point (1,0)
2(3)-2 = 4 Point (3,4)
the length of the hypotenuse of an isoceles right triangle whose leg is one unit
Answers
1^2+1^2=c^2
1+1=c^2
√2=c
c=1.4
Remember the hypotenuse must be bigger than the legs.
Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 333 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 333 choices for his trip home. If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?
Answers
The event "Atleast once" is the complement of event "None".
So, the probability that Marvin teleports atleast once per day will the compliment of probability that he does not teleports during the day. Therefore, first we need to find the probability that Marvin does not teleports during the day.
At Morning, the probability that Marvin does not teleport = 2/3
Likewise, the probability tha Marvin does not teleport during evening is also 2/3.
Since the two events are independent i.e. his choice during morning is not affecting his choice during the evening, the probability that he does not teleports during the day will be the product of both individual probabilities.
So, the probability that Marvin does not teleport during the day = [tex] \frac{2}{3}*\frac{2}{3}=\frac{4}{9} [/tex]
Probability that Marvin teleports atleast once during the day = 1 - Probability that Marvin does not teleport during the day.
Probability that Marvin teleports atleast once during the day = [tex] 1-\frac{4}{9}=\frac{5}{9} [/tex]
Answer:
5/9
Step-by-step explanation:
The chances he teleports in the morning is 2/3
Same for the evening.
so mulitply the two choices 2/3 * 2/3= 4/9
Then add 1 to account for teleports ONCE a day
1+4/9= 5/9
Can somebody pls help I’ll mark brainliest
Answers
64
Explanation:
The square of any number can be obtained by multiplied the number by itself.
In other words:
square of x = x² = x * x
For the given, we want to get the square of 8. This means that we will multiply 8 by itself.
Therefore:
square of 8 = 8² = 8 * 8 = 64
Hope this helps :)
Answer:
[tex]8^2=8\times 8=64[/tex]
Step-by-step explanation:
We have been given a number. We are asked to find the square of our given number.
We know that the square means a quantity multiplied by itself. When a number (a) is multiplied by itself, we can write that number by raising to second power as: [tex]a\times a=a^2[/tex]
Since we need to find the square of 8, so we can write it as:
[tex]8\times 8=8^2[/tex]
[tex]64=8^2[/tex]
Therefore, the square of 8 is 64.
A diver dives from a 9-foot-high platform with an initial speed of 16 feet per second. The height, h, of the diver can be modeled by the equation ℎ = −162 − 16 + 9, where t represents time in seconds. How long will it be before the diver hits the water?
Answers
This is an example of a quadratic equation. It is in the shape of an upside down parabola.
Our goal is to solve the following equation: 0 = -16x^2 - 16x + 9
To do this, we can use the quadratic formula. The variables are:
a = -16
b = -16
c = 9
It will be: 16 +/- The square root of (-16)^2 - 4(-16)9 all divided by 2(-16).
This will give a positive answer of 0.4 seconds.
HEEEEEEEEEEEEEEEEEELP!!!!!!!!
please explain how to get to the answers ASAP
Answers
Part A:
We must evaluate the following intervals:
if d> = 5:
The function for this case is:
C = 4.70d
if d <5:
The function for this case is:
C = 4.70d - 1
Part B:
We evaluate the functions corresponding to the number of days:
For d = 4
C = 4.70 * (4) - 1 = 17.8 $
For d = 7
C = 4.70 * (7) = 32.9 $
Answer:
option 3
Question 2:
For this case, what you should do is find the linear function that best suits the problem.
We have then:
y = 3x + 3
We evaluate for different values of x to compare with the table:
f (0) = 3 (0) + 3 = 3
f (1) = 3 (1) + 3 = 6
f (2) = 3 (2) + 3 = 9
f (3) = 3 (3) + 3 = 12
f (4) = 3 (4) + 3 = 15
We observe that all the values coincide with the table.
Answer:
option 2.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of ∠A ?
Enter your answer in the box.
Answers
arcDCB = 360° - arcDAB = 360 - 242 = 118°
m∠A = arcDCB/2 = 118/2 = 59°
We can see that C is opposite to A, so in other words angle C + angle A = 180°. This can quickly be solved:
121+A=180
Minus 121 on both sides
A=59°
can someone double check my work for this problem? I got 38°??
Answers
sin A/a = sin C/c
sin A/|CB| = sin C/|AB|
sin A/14 = sin(118⁰)/ 20
sin A = (14*sin(118⁰))/ 20
A=arcsin((14*sin(118⁰))/ 20) ≈ 38⁰
What is 20-3.05+(-9.5)
Answers
(evan43)