An aircraft carrier left Port 35 traveling north five hours before a container ship. The container ship traveled in the opposite direction going 8 km/h faster than the aircraft carrier for seven hours after which time the ships were 303 km apart. What was the aircraft carrier's speed?
Answers
Answer:
21.75 km/h
Step-by-step explanation:
Let's call the aircraft carrier speed 'x', so the speed of the container ship is 'x+8'
The distance travelled can be found with the product of the speed and the time travelled: d = v * t
The aircraft carrier travelled five hours, so the distance travelled is:
d1 = x * 5 = 5x
Then, the container ship travelled seven hours, so the distance travelled is:
d2 = (x+8)*7 = 7x + 42
As they travelled in opposite directions, the distance between then is the sum of these distances, and it is equal 303 km, so we have that:
d1 + d2 = 303
5x + 7x + 42 = 303
12x = 261
x = 21.75 km/h
Answer:
The aircraft carrier's speed was 13 km/h
Step-by-step explanation:
The parameters given in the question are;
Time of departure of the aircraft carrier = 5 hours before the container ship
Speed of the container ship = 8 km/h faster than the aircraft carrier
Distance between the two ships after 7 hours = 303 km
Let the speed of the aircraft carrier be Z
∴ The speed of the container ship = Z + 8
Since the aircraft carrier left port 35 travelling North 5 hours earlier we have;
Total time of travel of the aircraft carrier at the time of measurement of the distance between the two ships = 5 + 7 = 12 hours
Therefore, since both ships are moving in opposite direction on the same line path, we have;
303 = 12×Z + 7 × (Z + 8) = 12·Z + 7·Z + 56
19·Z = 303 - 56 = 247
∴ Z = 247/19 = 13 km/h
Hence, the aircraft carrier's speed was 13 km/h.
Related Questions
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
ASAP PLS I NEED IT AND TY
Answers
When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
Solving the QuestionWe're given:
Original side length is 2.5 unitsScale factor = 6Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
Answer15 units
Answer:
6
Step-by-step explanation:
PLS HELP ASAP I BEG YOU
Answers
Help me!!
What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?
Answers
Heroine. Explanation: The first two letter i.e. 'he' refers to male person, the first 3 letters i.e. 'her' denotes female, the first 4 letter i.e. 'hero' means a great personality while the whole world i.e. heroine is the great woman.
use the distributive property to expand this expression: 6(s + 5) =
Answers
Answer:
6s+30
Step-by-step explanation:
....
6 x s = 6s
6 x 5 = 30
Which angle is supplementary to ∠MPN?
five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees
∠NPL
∠LPM
∠IPK
∠KPL
Answers
The ∠LPM is supplementary to ∠MPN.
What is supplementary angles?If two angles in geometry sum up to 180 degrees, they are considered to be supplementary angles. For instance, A and B are referred to as supplementary angles if ∠A + ∠B = 180°. When combined, supplementary angles always make a straight angle (180 degrees).
Given:
Five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees
We have to find the angle which is supplementary to the ∠MPN.
Let, x be the angle supplementary to the ∠MPN.
So,
x + ∠MPN = 180
x = 124.4 = 180
x = 180 - 124.4
x = 55.6
Therefore, ∠LPM is supplementary to ∠MPN.
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Answer:
<LPM
Step-by-step explanation:
BYE!!!
Set up and solve a system of equations to solve the problem.
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
The jar contains ___ nickels and ___ dimes.
Answers
Answer:
The jar contains 10 nickels and 10 dimes. Another answer is that the jar contains 4 nickels and 13 dimes.
Step-by-step explanation:
1 nickels = 5 cents
1 dime = 10 cents
1st answer
10 nickels = $0.50
10 dimes = $1.00
So 10 nickels + 10 dimes = $1.50
2nd answer
13 dimes = $1.30
4 nickels = $0.20
So 13 dimes + 4 nickels = $1.50
What is the answer to number 3? (Numerical Representations)
Answers
Answer:
Step-by-step explanation:
A it the answer why cuz tusday is the lowest and it's 3.4 and the rest are geater than tusday
3 2/5 = 3,4
3 3/8 = 3,375
3 1/2 = 3,5
Monday, Wednesday, Tuesday, Thursday
Charlie’s mom set the timer for her to complete her homework. She has 24 minutes remaining of the 60-minute timer. What percentage of her allotted time has she used?
Answers
60% of her allotted time has she used.
Here, we have,
given that,
Charlie’s mom set the timer for her to complete her homework.
She has 24 minutes remaining of the 60-minute timer.
so, we get,
total time = 60 minutes
she has remaining = 24 minutes
then, she has used = 60 - 24 = 36 minutes
now, we need to find the percentage of her allotted time has she used.
so, we have,
she used 36 minutes of 60 minutes
so, she has used = 0.6
= 60%
Hence, 60% of her allotted time has she used.
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Kendall made 5/6 of a kilogram of trail mix. If she puts 1/6 of a kilogram into each bag, how many bags can Kendall fill? (label is "bags")
Answers
Answer: She will have 5 bags
Step-by-step explanation:
a way to solve this is to go
1/6 + 1/6 + 1/6 + 1/6 + 1/6
PLEASE ANYONE?: A number is chosen at random from a set of whole number from 1 to 50. Calculate the probability that the chosen number:
1. is not a perfect square
Answers
Answer:
10
Take 10 and add it 5 times
Step-by-step explanation:
5 divided by 50 is 10
There is 7 perfect squares 1-50
1,4,9,16,25,36,49 so 43 of the 50 times you pull a number it is not a perfect square.
plz help me
g=1/6(w+40) solve for w
Answers
Answer:
w=6g-40
Step-by-step explanation:
Step 1: Flip the equation. 1/6 w+ 20/3 =g Step 2: Add (-20)3 to both sides. 1/6 w+ 20 3 + −20 3 =g+ −20 3 1 6 w=g+ −20 3 Step 3: Divide both sides by 1/6. 1 6 w 1 6 = g+ −20 3 1 6
hope this helped mark brainliest if i helped thanks (doing a challenge so pls appreciate it)
Shirts are on sale for 20%.You buy 2 of them. As you pay, the cashier says, “20% off of each shirt means 40%off the total price.” Do you agree or disagree? Please explain thoroughly.
Answers
Answer:
disagree
Step-by-step explanation:
you don't go to a store that has shirts on sale for 20 percent off and buy 2 shirts and get 40 percent off you get 20 percent off of your total
Could someone please help me on this question? I need help!!
Answers
Answer:
Step-by-step explanation:
do you think you could take a closer up one then I will help you.
Verify :(-50) × [37 + (-7) ] = (-50) × 37 + (-50) × (-7) Those who answers quickly will be marked brainliest
Answers
Answer:
(-50) x 30 = -1850 + 350
-1500 = -1500
true
Answer:
It is true.Step-by-step explanation:
It is example of "Distributive Law":
a × (b + c) = a × b + a × c
When we multiply a number by a group of numbers added together we get the same answer as when we do each multiply separately then add them.
Of course, if you don't remember the distributive law, you can verify it just by doing the operations on both sides of the equality:
(-50) × [37 + (-7) ] = (-50) × 37 + (-50) × (-7)
(-50) × [30] = (-1850) + 350
- 1500 = - 1500 ← it's true
Mae has a set of cube blocks that are 3 inches on each side. Her mom is trying to organize her closet and purchased a bin with a lid that is 12 inches long, 8 inches wide, and 10 inches deep. How many of Mae's blocks will fit in the bin? Show your work.
Answers
first you have to find the volume of a block
V=s^3
V=3^3
V=27
then you find the volume of the bin
V=lwh
V=12•8•10
V=960
next you divide the volume of the bin by the volume of the cube
960/27=35.56
since there is no such thing as .56 cubes your answer is 35
Answer:
35 blocks would fit in the bin.
Which situation can be modeled by the equation 45−2.50x=11.50?
Possible Answers:
A: A stock with an original value of $45.00 decreases by $2.50 each week. After how many weeks, x, is the stock worth $11.50?
B: Cassie deposits $45.00 into a savings account with an annual interest rate of 2.50%. After how many years, x, will Cassie have $11.50 in interest?
C: The cost to pick apples is $2.50 plus $11.50 per pound of apples picked. How many pounds of apples, x, can be picked for $45.00?
D: Adam has $2.50 in his bank account. He deposits $11.50 into the account each month. After how many months, x, will Adam have $45.00?
Answers
Answer:
the answer is A i believe
Step-by-step explanation:
PLEASE I REALLY NEED HELP IT'S DUE SOON AND IM VERY CONFUSED!!!!
Answers
Answer:
D
Step-by-step explanation:
if im correct the answer is D
Answer:
C
Step-by-step explanation:
PLEASE HELP :D
ONE STEP EQUATION :
1. When solving the equation -2x = 14; how would you solve for x? What would x equal?
2. When solving the equation 7 + x = -3; how would you solve for x? What would x equal?
3. When solving the equation x/5 = -4; how would you solve for x? What would x equal?
Answers
Question two X= -10 because -3 - -10=7
Question three X =-20 because -4 divided by-20
Answer:
Question one X=-7 because -2 x -7 = 14
Question two X= -10 because -3 - -10=7
Question three X =-20 because -4 divided by-20
Step-by-step explanation:
Zach's office recycled a total of 6 kilograms of paper over 3 weeks. How many weeks will it take Zach's office to recycle a total of 10 kilograms of paper? Assume the relationship is directly proportional.
Answers
Answer: 5 weeks.
Step-by-step explanation:
Find each percent of change. Round to the nearest percent if necessary. State whether the percent of change is an increase or a decrease.
1. 30 inches to 24 inches
2. $126 to $150
Answers
2. 16% increase
Explaination:
Question 1.
30 inches to 24 inches is a decrease, because 24 is smaller than 30.
(30-24)/30 * 100%
= 6/30 * 100%
= 20%
Ans: 20% decrease
Question 2.
$126 to $150 is an increase, because 150 is larger than 126.
(150-126)/150 * 100%
= 24/150 * 100%
= 4/25 * 100%
= 16%
Ans: 16% increase
Answer:
16%⬆
Step-by-step explanation:
A rectangular flag is 60 centimeters by 96 centimeters. What are the dimensions of a scale drawing of the flag using the scale 1:6?
Answers
Answer:The dimensions of the scale drawing of the flag are 10 cm by 16 cm.
Step-by-step explanation:
The dimensions of a scale drawing of the flag are 10 centimeters and 16 centimeters.
What is a scale factor?The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Given:
The scale factor is 1/6.
A rectangular flag is 60 centimeters by 96 centimeters.
To find the dimension of new flag:
60 x 1/6 = 10 centimeters
96 x 1`/6 = 16 centimeters.
The dimensions of a scale drawing of the flag are 10 centimeters and 16 centimeters.
Therefore, flag's dimension are 10 centimeters and 16 centimeters.
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please please please please help me I need to get 100 on this paper
Answers
Answer:
1. slope = 12
y-intercept = 1/3
2.slope = 1/4
y-intercept= -12
3.slope = 3
y-intercept = 2
Step-by-step explanation:
When you get an equation for a graph, the co-efficient infront of the x (The number by the x) is the slope.
The equation for the y-intercept:
When solving for y-intercept, you replace y in the equation with 0 and make x the subject.
Example:
y = 12x - 4
0=12x - 4
-12x = -4
divide both sides by negative 12 since we want only positive x
\(\frac{-12x}{-12} =\frac{-4}{-12}\)
x = \(\frac{1}{3}\)
Therefore, the y-intercept = 1/3
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
Which is a TRUE statement about the transformation shown?
A
a vertical translation followed by a horizontal translation
B
a horizontal translation
C
a horizontal translation followed by a vertical translation
D
a vertical translation
Answers
Answer:
D. I'm guessing
Step-by-step explanation:
because its going up and down so thats vertical..
Please Help ^^ Thank youuu ( BRAINLIEST)
I hate loosing 2000 for this :(
Answers
Hello! I am crunchbunny123, and I will be helping you today!!
Answer: 35.28 m3
Step-by-step explanation: Picture bellow
Hope this helped! Please mark as brainliest, thank you!!
Answer:
Volume = 0.5 * b * h * length.
b = length of the base of the triangle = 4.2 m
h = height of the triangle = 2.8 m
length = prism length = 6 m
—
Volume = 0.5 * 4.2 * 2.8 * 6 = 35.28 m³
—
Have a nice day!!
The net of a prism is made up of 2 rectangles. Rectangle 1 has a base of 9 feet and height of 3 feet. Rectangle 2 has a base of 7 feet and height of 5 feet.
What is the surface area of the prism?
29 ft2
30 ft2
58 ft2
62 ft
Answers
Answer:
62 ft2
Step-by-step explanation:
you multiply 9 and 3
then you multiply 7 and 5
after you do that you and those two answers together
4. The water level of a river in the town of Carson decreased by 4 1/4 feet over a 3-month period. Which of these describes the average monthly change in the water level of the river?
Answers
Answer:
1 5/12
Step-by-step explanation:
use the keep change flip method (KCF)
Remember process of elimination. Two of the problems can be eliminated immediately because they are talking about increase.
Calculate the area for each shape.
Answers
Triangle- 27 square units
Parallelogram (to the right figure):
30 square units
MARK ME BRAINLIESTT PLEASE
Please help me! im on an assignment an cant figure it out
Answers
Step-by-step explanation:
The difference beteen 9.2 ounces and 8.1 ounces is 1.1 ounces
and the difference in price is .49
so 1.1 ounces cost .49
$ .49 / 1.1 oz = $ .445 per ounce
Then Reid's bowl should cost 7.8 oz * $ .445 / oz = $3.47