A round trip from Montreal to LA is 2,688 miles and takes an airline 9 hours and 20 minutes. Given the outbound trip is the same distance as the return trip, and the speed of the plane was 25%faster on the return trip, how long did the return trip take? Answer to the nearest minute.
Answer:
4.074 hours
Step-by-step explanation:
r =
The formula for speed = Distance × Time
Hence,
Let the outbound speed = r
return trip speed = r + 25x/100 = 125r/100 = 1.25r
Note that: 9 hours and 20 minutes = 9.167
Let t1 and t2 be the time taken to travel on way and return journey.
t1 + t2 = 9 hr 10 min = 9.167 hrs
Hence:
2688/r + 2688/1.25r = 9.167
LCM(1.25r)
(2688 × 1.25) + 2688 /1.25r= 9.167
3360 + 2688 = 9.167 × 1.25r
6048 = 11.45875r
r = 6048/11.45875
Outbound trip rl = 527.8062615904876mph
Return trip speed = r + 25x/100 = 125r/100 = 1.25r
= 1.25 ×
659.75782699mph
Time for return trip = Distance/Speed
= 2,688 miles/659.75782699mph/
= 4.0742222222 hours
Approximately = 4.074 hours
The length of a rectangle is 3x^4 and the width is 5x^5. What is the
area of the rectangle? *
[tex]\boxed{\underline{\blue{\textrm{Area of Rectangle = l × b}}}}[/tex]
Length of rectangle = 3x⁴width of Rectangle = 5x⁵Area = 3x⁴ × 5x⁵
Area of rectangle = 15x⁹
Answer:
Area of rectangle = 15x⁹
Wade has three more quarters than dimes. The total value of the dimes and quarters together is $13. How many quarters does he have?
Answer:
38 Quarters
Step-by-step explanation:
D=number of dimes; Q=number of quarters=D+3
.
$0.10D+$0.25Q=$13
$0.10D+$0.25(D+3)=$13
$0.10D+$0.25D+$0.75=$13
$0.35D=$12.25
D=35
.
Q=D+3=35+3=38
ANSWER: He has 38 quarters.
Jana earns 3 minutes of free time for
every 2 books she reads. If Jana has
half an hour of free time built up, how
many books has she read?
© 15
G 20
40
J 90
Math
Answer:
20
Step-by-step explanation:
(20 books / 2) * 3 = 30 minutes
simplify the expression
ab – 2ac + cb
Answer:2
Step-by-step explanation:
Ok so the mass of a proton is 0.000000000000000000000000001672622 how do I make this in scientific notation
Answer:
1.7 x 10^-27
Step-by-step explanation
Move the decimal to the right until it's a single digit number, because you are moving it to the right, it would be a negative number. If you are able to round up then please do. Remember to check your significant figures if you're in chemistry.
Somebody please help!
Answer:
:) :) :) :) :) :) :) Hiiiiiiiii
Step-by-step explanation:
It -13. When you multiply 5 and -3, it's -15 and hen add 2, ad it will be -13.
(9,3) (0, 12) dtermine the slope of the line
Answer:
-1
Step-by-step explanation:
(9,3) (0,12)
(x1,y1) (x2,y2)
to find the slope, use this equation:
y2-y1/x2-x1
12-3/0-9
the slope is 9/-9 = -1
please help
solve the following equation
5/7x 14 =
Answer:
10
Step-by-step explanation:
multiply the numerators or the top numbers 5/7 * 14/1
14*5=70
divide it by the denominator or the bottom number 70/7=10
Takira is an appointment-setter for a sales organization. She makes $12 an hour plus a $3 fee for each appointment that is scheduled. This week. Takira worked 40 hours and
scheduled 31 appointments. What are ber total earnings with fees this week?
Enter the correct answer in the box
The total earnings with fees this week will be $571.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Takira is an arrangement setter for a deals association. She makes $12 an hour in addition to a $3 charge for every arrangement that is planned.
Let 'x' be the number of hours and 'y' be the number of appointments. Then the equation is given as,
Total earnings = $12x + $3y
This week. Takira worked 40 hours and scheduled 31 appointments. Then the total earnings are calculated as,
Total earnings = $12(40) + $3(31)
Total earnings = $480 + $91
Total earnings = $571
The total earnings with fees this week will be $571.
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Need help ASAP please!!! The formula determines the magnitude of an earthquake, where I is the intensity of the earthquake and S is the intensity of a “standard earthquake.” How many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6? Show your work.
Answer:
100
Step-by-step explanation:
M = log(I/S)
The intensity of the first earthquake:
8 = log(I₁/S)
10⁸ = I₁/S
I₁ = 10⁸ S
The intensity of the second earthquake:
6 = log(I₂/S)
10⁶ = I₂/S
I₂ = 10⁶ S
The ratio is:
I₁/I₂ = (10⁸ S) / (10⁶ S)
I₁/I₂ = 100
It is 100 times stronger.
An earthquake with a magnitude of 8 is 100 times stronger than an earthquake with a magnitude of 6.
Given the following data:
Magnitude A = 8Magnitude B = 6To determine how many times stronger is an earthquake with a magnitude of 8 than an earthquake with a magnitude of 6:
Mathematically, the magnitude of an earthquake is given by the formula:
[tex]Magnitude = Log(\frac{I}{S} )[/tex]
Where:
I is the intensity of the earthquake.S is the intensity of a standard earthquake.For earthquake A:
[tex]8=Log (\frac{I_A}{S} )\\\\10^8=\frac{I_A}{S}\\\\I_A=S10^8[/tex]
For earthquake B:
[tex]6=Log (\frac{I_B}{S} )\\\\10^6=\frac{I_B}{S}\\\\I_B=S10^6[/tex]
For strength:
[tex]Strength = \frac{I_A}{I_B} \\\\Strength = \frac{S10^8}{S10^6} \\\\Strength = 10^2[/tex]
Strength = 100
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10 to power 7 decimal
Answer:
10 mil
Step-by-step explanation: 10x10x10x10x10x10x10= 10,000,000
why is x=f(y) the inverse of f(x)?
Answer:
in finding the inverse of an equation, you just switch x and y, so f(x)=y becomes f(y)=x
Developing Proof Complete this paragraph proof of Theorem 3-6. If two lines and a transversal form supplementary same-side interior angles, then the two lines are parallel. Given: 21 and 22 are supplementary. C Prove: € || m Proof: 22 is a supplement of a. *? and 23 is a supplement of b. ?.Since supplements of the same angle are congruent, c. ? = d.? , Since 22 and 23 are also corresponding angles, é || m by the e. ? Postulate. 3 2 6.
Answer:
Step-by-step explanation:
Given:
∠1 and ∠2 are supplementary.
To prove:
l║m
Proof:
∠2 is a supplement of a. ∠1 (Given)
∠3 is a supplement of b. ∠1 [Linear pair of angles are supplementary]
Since supplements of the same angle are congruent,
c. ∠1 ≅ d. ∠2
Since ∠2 and ∠3 are also corresponding angles, l║m by the converse of same side interior angles postulate.
Two cups are mathematically similar. The larger cup has capacity 0.5 litres and height 8cm. The smaller cup has capacity 0.25 litres. Find the height of the smaller cup
Answer:
The smaller cup has a height of 4cm
Step-by-step explanation:
The two cups have a proportional relationship. This means that the since the smaller cup has a capacity that is half of the larger cup, the height will also be half of the larger cup height.
.25 is half of .5
_ is half of 8
Hope this helped!
A cube-shaped gift box has a volume of 421.875 cubic inches. Solve s^3=421.875 to find the length s of one side of the box.
Answer:
7.5 inch
Step-by-step explanation:
[tex]{s}^{3} = 421.875 \\ s = \sqrt[3]{421.875} \\ s = 7.5 \: inch[/tex]
PLZ ANSWER THIS WUICK! THANKS!
Answer:
132+180+ 168=480
Step-by-step explanation:
3/8 of 480= 180 (tuna)
35% of 480=168 (beef)
ratio is 132 (ham)
and adds up to 480
A high school is having a pancake breakfast fundraiser.They have 5 packages of pancake mix that each feed 140 people.The function N(p)=140p represents the number of people,N(P),that packages of pancake mix feed write the domain and range as compound inequalities.
Answer:
They have 5 packages of pancake mix.
N(p) = 140*p
Represents the number of people that can be feed with p = # of packages of pancake mix used.
Now, the domain will be the set of the possible values of p that we can use here.
the set of possible values of p will be:
{0, 1, 2, 3, 4, 5}
We can not use more than 5 because there are only 5 packages.
But we can use actually half a package or a third, so we not should use only whole numbers in the domain, then the domain can be written as:
D = 0 ≤ p ≤ 5
Now, the range is the set of the possible values of N(p)
The minimum will be when p = 0.
N(0) = 140*0 = 0
The maximum will be when p = 5
N(5) = 140*5 = 700
Then the range can be written as:
R = 0 ≤ N ≤ 700
Here we could add another restriction, because we can only feed a whole number of people, then we also should add the restriction that N must be a whole number:
R = 0 ≤ N ≤ 700, N ∈ Z
The Piney Creek Swim Club is preparing for the opening day of the summer season. The pool holds 22,410 gallons of water, and water is being pumped in at 540 gallons per hour. How many hours will it take to fill the tank? Please write your answer in the following format: number + hours (for example, 5 hours)
PLEASE HELP!
Answer:
4.15 hours
Step-by-step explanation:
540x = 2240
Divide
x = 4.14814815
Answer:
4.15 hours
Step-by-step explanation:
1) Solve the problem using the correct steps in PEMDAS.
-5( – 3 – 5) + ( - 40) = —
• -5
• -80
• 8
• 0
Let p=x^2+6p=x 2 +6p, equals, x, start superscript, 2, end superscript, plus, 6. Which equation is equivalent to (x^2+6)^2-21=4x^2+24(x 2 +6) 2 ?21=4x 2 +24left parenthesis, x, start superscript, 2, end superscript, plus, 6, right parenthesis, start superscript, 2, end superscript, minus, 21, equals, 4, x, start superscript, 2, end superscript, plus, 24 in terms of p ?
Answer:
(p+3)(p-7) = 0
Step-by-step explanation:
Given p=x^2+6p and (x^2+6)^2-21=4x^2+24
We are to substitute the the p = x²+6 into the expression as shown;
The expression (x^2+6)^2-21=4x^2+24 will become
(x²+6)²-21 = 4(x²+6)
On substituting p, the expression becomes;
p²-21 = 4p
Subtract 4p from both sides
p²-21-4p = 4p-4p
p²-4p-21 = 0
p²-7p+3p-21 = 0
p(p-7)+3(p-7) = 0
(p+3)(p-7) = 0
Hence the expression in terms of p is (p+3)(p-7) = 0
Answer:
Step-by-step explanation:
plz help will give brainlest
Answer:
car a travels 250 miles car a travels 150 miles in 2 hours
Step-by-step explanation:
car a speed is 150 per hour and car b is about 70 or 60 miles per hour
car a traveled 100 more miles than car b and the graph car b is 150 miles
Answer:
150 and 2
Step-by-step explanation:
When solving the system of equations, x + 2y = 15 which expression could be substituted 5x + y = 21for x in the second equation?
2.) The following figures are similar. Which angle corresponds to angle R?
a. Angle T
b. Angle U
C. Angle V
Answer:
Angle T
Step-by-step explanation:
Because it’s the closest to Angle R
if I'm right the small triangle is similar to the big one so it would be R&T just like Q&U and S&V go together
calculate the area of the shaded region at right. use the appropriate units.
Oceanside bike rental shop charges 16 dollars plus 9 dollars an hour for renting a bike.Sam paid 52 dollars to rent a bike.How many hours did he pay to have the bike checked out?
Answer:
4 Hours
Step-by-step explanation:
Since the equation is:
y = 9x + 16
You have to find x
This is the logical way:
52-16 = 36 because thats the starting fee
So 36 divided by 9 equals 4
You do that because 9 is the charge per hr
So he rented it for 4 hours.
Hope this helps:)
Find each angle??????????????
Answer:
<BAC=58°
<CAD=32°
Step-by-step explanation:
15x-2+7x+4=90
22x+2=90
22x=90-2
22x=88
x=88÷22
x=4
<BAC=15x-2=15(4)-2=60-2=58°
<CAD=7x+4=7(4)+4=28+4=32°
Beetween 2001 and 2011 the population of a town increased by 8% in 2001 the population was 34,342 calculate the population in 2011
Can somebody help me?
Answer:
you literally just write every single one
Step-by-step explanation:
for example: angle HVI angle IVJ
For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water. How many milliliters does the mixture contain?
Answer:
12.55 milliliters
Step-by-step explanation:
0.25+12.3=12.55
Good luck!
The mixture contains 12.55 milliliters.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water.
we need to find the amount of milliliters does the mixture contain.
Add twelve point three plus zero point two five.
12.3+0.25
12.30
+ 0.25
_______
12.55
Hence, the mixture contains 12.55 milliliters.
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