The DeJeu family plan to drive to Marietta, GA to Newark, NJ. The distance is about 880 miles and the majority of their trip will be on a highway, where they will travel at an average speed of 65 miles per hour. They are leaving at 7:30 am, and they plan to stop 3 times for 10 minutes each and once for 1 hour. What is the approximate travel time?
Answers
Answer:
\(10:02:24\ \text{pm}\)
Step-by-step explanation:
d = Distance to travel = 880 miles
s = Average speed of the car = 65 mph
Time taken to cover the distance is
\(t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}\)
Time the car stopped
\(3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}\)
Total time of the journey
\(13.54+1.5=15.04\ \text{hours}\)
Converting \(0.04\ \text{hours}\) to minutes
\(0.04\times 60=2.4\)
So, the total time taken for the journey is \(15\ \text{hours and }2\ \text{minutes and }24\text{seconds}\)
Time when they reach their destination
\(7:30+15:2.4\approx 10:02:24\ \text{pm}\)
Related Questions
please help me on this will give you brainliest!!
Answers
Answer:
AB = 2
Step-by-step explanation:
the triangles are similar so that means there is a constant ratio for each side length. so comparing the ratios from the bigger triangle to the smaller triangle, leaves us with 9/3 and 15/5. if you take those and divide them you get 3 for both of them which is the constant. so then in order to find the length of AB just take the side length of XY (6) and divide it by 3 (the constant ratio) and there you have your answer!
hope this helps.
given the following formula solve for y.
Answers
Answer:
D. y = x-2(w+z)
Step-by-step explanation:
w = (x-y)/2 -z
Add z to each side
w+z = (x-y)/2 -z +z
w+z = (x-y)/2
Multiply each side by 2
2(w+z) = (x-y)/2 *2
2(w+z) = x-y
Subtract x from each side
2(w+z) -x = x-y-x
2(w+z) -x = -y
Multiply each side by -1
-2(w+z) +x = y
Analyze the diagram below and complete the instructions that follow.
K
B
A
гс
F
E
Given that ZCFE ZCFA, mZCFB = 68°, and mZEFD= 62°, find the measure of ZAFD.
Answers
The measure of ZAFD is 50 degrees.
Based on the given information:
ZCFE is congruent to ZCFA.
mZCFB = 68°.
mZEFD = 62°.
To find the measure of ZAFD, we can use the fact that angles in the same segment of a circle are equal.
Since ZCFE and ZCFA are congruent, angle ZCFE is equal to angle ZCFA.
Therefore, mZCFA = mZCFE.
Now, let's find the measure of angle ZCFE:
mZCFE = mZCFB + mZEFD (Angle Addition Postulate)
mZCFE = 68° + 62°
mZCFE = 130°
Since ZCFA is congruent to ZCFE, we can conclude that mZCFA is also equal to 130°.
Now, to find the measure of ZAFD, we need to consider the angles in the quadrilateral ZAFD.
The sum of the angles in a quadrilateral is always 360°.
mZAFD + mZAFB + mZBFD + mZBFA = 360°
We know that mZAFB and mZBFD are equal to 90° because they are right angles (angle AFB and angle BFD are right angles in the diagram).
Therefore, we can rewrite the equation as:
mZAFD + 90° + 90° + mZBFA = 360°
Simplifying:
mZAFD + 180° + mZBFA = 360°
Rearranging the equation:
mZAFD + mZBFA = 360° - 180°
mZAFD + mZBFA = 180°
We know that mZBFA is equal to mZCFA, which is 130°.
Substituting the known values into the equation:
mZAFD + 130° = 180°
Subtracting 130° from both sides:
mZAFD = 180° - 130°
mZAFD = 50°
Therefore, the measure of ZAFD is 50 degrees.
for such more question on measure
https://brainly.com/question/25716982
#SPJ8
A mother wants to invest 6000 for her children's educationShe invests a portion of the money in a bank certificate of deposit (CD account) which eams 4% and the remainder in a savings bond that 7%the total interest eamed after one year is $360, how much money was invested at each
Answers
A mother invests $6000 for her children's education, with a portion in a 4% CD account and the remainder in a 7% savings bond. The total interest earned is $360.
Let's assume the amount invested in the CD account is x dollars. Then, the amount invested in the savings bond will be the remaining amount, which is (6000 - x) dollars.
The interest earned from the CD account is given by 0.04x, while the interest earned from the savings bond is 0.07(6000 - x). The total interest earned after one year is $360, so we can set up the equation:
0.04x + 0.07(6000 - x) = 360
Simplifying the equation, we get:
0.04x + 420 - 0.07x = 360
-0.03x = -60
x = 2000
Therefore, the mother invested $2000 in the CD account (earning 4%) and $4000 in the savings bond (earning 7%) to accumulate a total interest of $360 after one year.
Learn more about Equation click here :brainly.com/question/13763238
#SPJ11
A complete collection of all elements (scores, people, measurements, and so on) to be studied is called the Group of answer choices sample population parameter grade
Answers
The correct option is B. The complete collection of all elements, individuals, measurements, scores, or other entities that are of interest and relevant to a particular study or analysis is called the population.
A collection is a group of items that have been gathered or accumulated together based on a particular theme or purpose. Collections can be made up of physical objects such as books, stamps, coins, or artwork, as well as digital items like photos, music, or videos. Collections can also refer to data structures in computer programming that hold groups of related items.
People often collect items as a hobby or passion, and the act of collecting can bring a sense of fulfillment, enjoyment, and satisfaction. Collections can have both sentimental and monetary value, and they may be displayed in personal or public settings, such as museums or galleries. The process of collecting often involves researching and acquiring new items, as well as organizing and preserving the existing collection.
To learn more about Collection visit here:
brainly.com/question/5775675
#SPJ4
Reduce to simplest form
6/3 + (-1/6) PLZ HURRY!
Answers
1.83 repeat
1 5/6
Click once to choose an answer. Click again to change your answer. Choose all that locate the ordered pair in the correct quadrant. (5, −3) is located in Quadrant IV (−4, −8) is located in Quadrant II (9, 11) is located in Quadrant I (−1, 3) is located in Quadrant II (−2, −4) is located in Quadrant III
Answers
Answer:
\(Quadrant\ IV = (5, -3)\)
\(Quadrant\ I = (9, 11)\)
\(Quadrant\ II = (-1, 3)\)
\(Quadrant\ III = (-2, -4)\)
Step-by-step explanation:
Given
\(Quadrant\ IV = (5, -3)\)
\(Quadrant\ II = (-4, -8)\)
\(Quadrant\ I = (9, 11)\)
\(Quadrant\ II = (-1, 3)\)
\(Quadrant\ III = (-2, -4)\)
Required
Determine which coordinate fall in the right quadrant
First, we split the each quadrant into x and y axis
In the first:
x and y is +
In the second:
x is - and y is +
In the third
x and y are -
In the fourth
x is + and y is -
Comparing the given coordinates to their respective quadrants, base on the conditions stated above
\(Quadrant\ IV = (5, -3)\) is correct
\(Quadrant\ I = (9, 11)\) is correct
\(Quadrant\ II = (-1, 3)\) is correct
\(Quadrant\ III = (-2, -4)\) is correct
\(Quadrant\ II = (-4, -8)\) is incorrect
Robin is having a dinner party for 135 people at her favorite restaurant. If 9 people can be seated at each table, how many tables are there?
Answers
Answer:
15
Step-by-step explanation:
Consider the modified Harrod-Domar Growth model: c(g+δ)=(s
π
−s
W
)(
Y
π
)+s
W
As a planner, you're targeting a 4% growth rate. If depreciation (delta) =0.03, capitaloutput ratio (c)=3,pi/Y=0.5, and savings out of capital income, 5(pi)=25%. At what rate should the wage earners and rural households save? (Note: Write in \%, no decimal)
Answers
If the modified Harrod-Domar Growth model, c(g+δ)=(sπ- sW)(π/Y) +sW, if you're targeting a 4% growth rate with δ= 0.03, c= 3, π/Y = 0.5 and sπ= 25%= 0.25, then the rate at which the wage earners and rural households should save is 5.67%
To find the rate, follow these steps:
Applying g= 4%= 0.04, δ= 0.03, c= 3, π/Y = 0.5 and sπ= 25%= 0.25 in the Harrod-Domar growth model, c(g+δ) = (sπ- sW)(π/Y) + sWA, we can find the value of sW .The left-hand side of the equation gives us investment, and the right-hand side gives us savings. Substituting these values we get 3(0.04+0.03)=(0.25+ sW)(0.5) +sW ⇒0.21= 0.125 +0.5sW +sW ⇒ 0.085= 1.5sW So, sW= 0.085/ 1.5= 0.0567= 5.67%Learn more about Harrod-Domar Growth model:
brainly.com/question/4555076
#SPJ11
As the sample size becomes larger, the sampling distribution of the sample mean approaches a.
Answers
As the sample size rises, the sample distribution approaches a normal distribution.
The sample distribution approaches a normal distribution as the sample size grows. The sampling distribution's mean equals the population's mean if the number of consecutive samples is "infinite".
The Gaussian distribution is the official name for the normal distribution. However, the word "normal" was coined in the nineteenth century after a scientific inquiry revealed that numerous natural events appeared to "deviate from normal" from their typical values.
In his 1889 work Natural Inheritance, naturalist Sir Francis Galton popularized the notion of normal variability as the standard curve.
Learn more about the normal distribution at
https://brainly.com/question/28941805?referrer=searchResults
#SPJ4
Can someone tell me how I solve this, like explain how I do the steps not just the answer
Answers
==================================================
Explanation:
Pick any two rows from the table to form (x,y) points
I'll select the first two rows.
(x1,y1) = (-4,-3) from row 1
(x2,y2) = (0,-2) from row 2
Plug those values into the slope formula
m = (y2-y1)/(x2-x1)
m = (-2-(-3))/(0-(-4))
m = (-2+3)/(0+4)
m = 1/4
The slope is 1/4, which is also the rate of change.
AABC -A
by
?
B
85°
55°
D
E
55°
400
А
TI
A FED; AA
B
DEF; SAS
С
EFD; SSS
Oo
Not Similar
I’
Answers
Answer:
What
Step-by-step explanation:
whsiqjw jeri siwjs kgo sod
Solve for x.
3(2 − 4x) + 4x > 17
Answers
Answer:
The answer is-11/8
Step-by-step explanation:
3(2-4x)+4x>17
6-12x+4x>17
-8x>17-6
-8x>11
divide both sides by-8
-8x/-8=11/-8
x= -11/8
Step-by-step explanation:
● 6-12x+4x>17
●6-8x>17
●-8x>17-6
●-8x>11
●-8x÷-8>11÷-8
●x= -11/8
Please help 10 points
Answers
Answer:
SAS triangle because a SAS stands for side angle side that's how u always know
()) There are two cubes. The first cube has a volume of 1,000 cubic units. The second cube is smaller than the first, with sides only half as long. What is the volume of the second cube? D) cubic units Submit
Answers
Answer:
125 units^3
Step-by-step explanation:
Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.
You then divide the sides by 2 because the question says the second cubes sides are half the size
5*5*5 = 125
The volume of the second cube is 125 units³.
What is volume?In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.
We need to find the volume of the second cube,
So, let the side of the first cube be x,
We know that the volume of a cube = side³
Therefore,
x³ = 1000
x = ∛1000
x = 10 units
Therefore, the second cube will have a side of 10/2 = 5 units
Volume of second cube = 5³ = 125 units³.
Hence the volume of the second cube is 125 units³.
Learn more about volume click;
https://brainly.com/question/28058531
#SPJ2
Find the coordinates of point G that lies along the directed line segment from F(-1, -1) to H(-8, 20) and partitions the segment in the ratio of 5:2.
Answers
Answer:
coordinates of point g is ( -6, 14)
Step-by-step explanation:
The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).
___________________________________________
given point
F(-1, -1) to H(-8, 20)
ratio : 5:2
the coordinates of point g is
(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)
=> (-2 -40/7 , -2+100/7)
=> (-42/7, 98/7)
=>( -6, 14)
Thus , coordinates of point g is ( -6, 14)
I need some help with this math question.
Answers
The only option that represents power of power exponents rule is option B: (x^a)^b = x^(ab)
How to use Law of exponents?The exponent of a number says how many times to use the number in a multiplication.
There are different laws of exponents such as:
Zero Exponent Law: a^0 = 1.
Identity Exponent Law: a^1 = a.
Product Law: a^m × a^n = a^(m+n)
Quotient Law: a^m/a^n = a^(m-n)
Negative Exponents Law: a^(-m) = 1/a^(m)
Power of a Power: (a^m)^n = a^(mn)
Power of a Product: (ab)^(m) = a^mb^m
Power of a Quotient: (a/b)^m = a^m/b^m
Using power of power exponents rule, we can say that only option B is correct because:
(x^a)^b = x^(ab)
Read more about Laws of Exponents at: https://brainly.com/question/11761858
#SPJ1
solve for x using logarithm:
25^x-3(5^x)=0
Answers
Answer:
\(x = 0.68\)
Step-by-step explanation:
We would like to find out the value of x using logarithms of the given equation .The equation is ,
\(\longrightarrow 25^x - 3(5^x)=0\\\)
Add \(3(5^x)\) on both sides,
\(\longrightarrow 25^x = 3(5^x) \)
Using log to the base 10 on both sides, we have;
\(\longrightarrow log_{10}(25^x) = log_{10}\{3(5^x)\}\)
Recall that \( log(ab ) = log\ a + log\ b \) .
\(\longrightarrow log_{10}(25^x)=log_{10}3 + log_{10}5^x \)
Recall the properties of logarithm as \( log\ a^b = b\ log\ a \) .
\(\longrightarrow xlog25 = log_{10}3 + xlog_{10}5 \)
Again we can rewrite it as ,
\(\longrightarrow xlog(5^2)=log_{10}3+xlog_{10}5\\ \)
\(\longrightarrow 2x\ log_{10}5 = log_{10}3+xlog_{10}5 \\ \)
\(\longrightarrow 2x\ log_{10}5-x\ log_{10}5 = log_{10}5 \)
Simplify,
\(\longrightarrow x\ log_{10}5=log_{10}3 \)
Divide both sides by log5 ,
\(\longrightarrow x =\dfrac{log_{10}3}{log_{10}5} \)
Put on the values of log 3 and log5 ,
\(\longrightarrow x =\dfrac{0.47}{0.69} \)
Simplify,
\(\longrightarrow \underline{{\underline{\boldsymbol{ x = 0.68}}}}\)
And we are done!
Find the values of a and b.
Answers
Answer: A
Step-by-step explanation:
Drawing the isosceles right triangle on the right , a=8+6=14
and b²=6²+6²=> b=6√2
answer A
HELLPP. ITS URGENT.50 PTS
Please show working.
Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))
Answers
Answer:
I replaced alpha by A and bitta by B. Sorry for this mistake
Answer:
4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0Step-by-step explanation:
Given
α and β are roots of 4x²-5x-1=0Then the sum and product of the roots are:
α+b = -(-5)/4 = 5/4αβ = -1/4(i) Roots are α + 1 and β + 1, then we have:
(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0(ii) Roots are 2 - α and 2 - β, then we have:
(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0(iii) Roots are α² and β², then:
(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0(iv) Roots are 1/α and 1/β, then:
(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0(v) Roots are 2/α² and 2/β², then:
(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0lol uggujkvjvvjvvjvvjjjvvjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvujuuuuuuuu
Answers
Answer:
x = 4
Step-by-step explanation:
lol uggujkvjvvjvvjvvjjjvvjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvujuuuuuuuu
Juan is considering two cell phone plans. The first company charges $120 for the phone and $30 per month for the calling plan that Juan wants. The second company charges $40 for the same phone, but charges $45 per month for the calling plan Juan wants. After how many months would the total cost of the two plans be the same?
Answers
If it is 2 months, you would multiply the $30 by 2. Next, you would add on the additional $120 charged for the phone.
Company 1: $180
45+45 = 90
90+40 = $130
Company 2: $130
Company 2: 130
The library at your school has MP3 players pre-loaded with audio and digital books
to check out. When the librarian starts downloading new books at 11:00 am, there
are 15 already loaded. When she checks at noon, there are 25 books completely
loaded. Assuming that the computer downloads books at a consistent rate, how
many complete books will have downloaded at 2:45 pm?
Write a function of books downloaded, y, based on time passed, x (in hours), as well
as the total number of books that will be completed by 2:45 pm.
Answers
The total number of books completed by 2:45 pm will be 42.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that when the librarian starts downloading new books at 11:00 am, there are 15 already loaded. When she checks at noon, there are 25 books completely loaded.
The number of books loaded in 1 hour is calculated as,
N = 25 - 15
N = 10 books
Now from 12 noon to 2:45 pm, the time in hours will be,
T = 165 minutes or 165 / 60 = 2.75 hours
The equation for the number of books loaded will be written as,
y = 15 + 10T
y = 15 + ( 10 x 2.75)
y = 15 + 27.5
y = 42.5 or 42
The completely loaded books are 42 in number.
To know more about an expression follow
https://brainly.com/question/26310043
#SPJ1
2) Simplify |-5| + |6|. A) -30 B) -1 C) 1 D) 11
Answers
Answer:
D
Step-by-step explanation:
Answer: 11
Step-by-step explanation: The absolute value of -5 is 5. The absolute value of 6 is 6. So, 5+6=11
$500 invested at 6.25% per year compounded daily for 3 years= Round to the nearest cent
Answers
SOLUTION
This is a compound interest problem:
Step 1: List out the given parameters
\(\begin{gathered} \text{Amount (A) = unknown} \\ Principal(P)=500\text{ dollars} \\ \text{Rate (r) = 6.25 percent} \\ Time(t)=3\text{ years} \\ \text{Number of times compounded (n) = 365 days} \end{gathered}\)Step 2: Write out the compound interest formula:
\(A=P\lbrack1+\frac{r}{n100}\rbrack^{nt}\)Step 3: Substitute the given parameters into the compound interest formula:
\(\begin{gathered} A=P\lbrack1+\frac{r}{n100}\rbrack^{nt} \\ A=500\lbrack1+\frac{6.25}{365\times100}\rbrack^{365\times3} \end{gathered}\)Simplifying further:
\(\begin{gathered} A=500\lbrack1+\frac{6.25}{36500}\rbrack^{1095} \\ A=500\lbrack1+0.00017123\rbrack^{1095} \\ A=500\lbrack1.00017123\rbrack^{1095} \\ A=500\times1.2062071 \\ A=603.10355\text{ dollars} \\ A=603.10\text{ dollars (to the nearest cent)} \end{gathered}\)The answer is $603.10.
Determine the cost of the points given the loan, interest rate, and number of points
purchased. Assume each point costs 1% of the loan amount:
$300,000, 4.4% APR, 1 points with 0.125% discount
Answers
The borrower would pay $3,000 for one point, which would result in a reduction of 0.125% on the interest rate, bringing it down to 4.3945%.
To determine the cost of the points in this scenario, we need to calculate 1% of the loan amount ($300,000), which is $3,000. Since the borrower is purchasing one point, the cost of the point would be $3,000.
Additionally, the borrower is receiving a discount of 0.125% on the interest rate for purchasing this point. To calculate the new interest rate after the discount, we can multiply the original interest rate (4.4%) by the discount percentage (0.125%), which gives us a reduction of 0.0055. We can then subtract this reduction from the original interest rate to get the new rate:
4.4% - 0.0055 = 4.3945%
So the borrower would pay $3,000 for one point, which would result in a reduction of 0.125% on the interest rate, bringing it down to 4.3945%.
To know more about interest rate, visit:
https://brainly.com/question/30958592
#SPJ11
How can you tell by looking at a graph if there is a proportional relationship?
Answers
Answer:
as x increases y increases, as x decreases y decreases, the ratio always stays the same..represents a straight line through the origin.
PLEASE PLEASE HELP ME I AM DESPERATE PLEASE
Answers
Find the value of x that will make A||B
x=?
Answers
64 is 80% of what?
A. 64 x n = 80; 0.8
B. 0.64 x n = 80; 125
C. 64 = 0.80 x n; 80
D. 80 = 64 x n; 1.3
Answers
Answer:
C. 64 = 0.80 x n; 80
Step-by-step explanation:
In this context "of" means "times." The given relation can be translated to ...
64 is 80% of what
64 = 0.80 × what
If we let "n" represent the number that would answer "what", then this is ...
64 = 0.80 × n
__
Dividing by the coefficient of n, we find the value of n to be ...
64/0.80 = n = 80