Answer: It will take 36 minutes(0.6 hour) until both ferries depart from their docks at the same time again.
Step-by-step explanation:
Given : Ferry A departs every 1.2 hours.
Ferry B departs every 1.8 hours.
To find : Time taken by both ferries until they depart from their docks at the same time again.
= LCM (1.2, 1.8) hours [LCM= Least common multiple]
= LCM (1.2(60 minutes), 1.8(60 minutes)) [Since 1 hour = 60 minutes]
= LCM (72 minutes, 108 minutes)
72 = 2 x 2 x 2 x 3 x 3 , 108 = 3 x 3 x 3 x 2 x 2
LCM (72,108) =2 x 2 x 3 x 3 =36
So, it will take 36 minutes until both ferries depart from their docks at the same time again.
In hour = [tex]\dfrac{36}{60}\text{ hour}=0.6\text{ hour}[/tex]
Hope you guys have a good Christmas!!!
Answer:
hope I will and you do to
Good capitalization. I am impressed.
Plz help im on a timer
Nick bought jeans for $34.95 and a shirt for $24.95. The cashier said the total cost including 8.5% sales tax was $68.40. Below are the steps the cashier completed: Step 1: 34.95 + 24.95 = 59.90 Step 2: 59.90 + 8.50 = 68.40 Are the cashier's steps correct? If not, explain the error and then state in complete sentences how to calculate sales tax and total cost correctly. Make sure you give the correct total. (Round the final answer to the nearest hundredth
Answer:
The cashier is wrong
[tex]Amount = 64.99[/tex]
Step-by-step explanation:
Given
[tex]Jeans=34.95[/tex]
[tex]Shirt = 24.95[/tex]
[tex]Sales\ Tax = 8.5\%[/tex]
Solving (a): Is the Cashier's step correct?
The cashier is wrong at step 2 because instead of calculating the sales tax, the cashier add the sales tax percentage to the total cost.
Solving (b):
First, calculate the total cost by adding the cost of jeans and shirt respectively:
[tex]Total = 34.95 + 24.95[/tex]
[tex]Total = 59.90[/tex]
Next, multiply the sales tax percentage to the total cost to get the sales tax amount.
[tex]Sales\ Tax = 8.50\% * 59.90[/tex]
[tex]Sales\ Tax = 5.0915[/tex]
Add the sales tax to the total, this gives the total payable amount.
[tex]Amount = 59.90 + 5.0915[/tex]
[tex]Amount = 64.9915[/tex]
[tex]Amount = 64.99[/tex] approximated
need help w algebra pls asap. i’ll mark brainlist!!
Answer:
The mistake is that they left the i^2 as it is instead of making it -1 because i is the square root of -1. You fix this by replacing i^2 by -1 and you will get (4-7i)/5
Step-by-step explanation:
I have no clue what it is so please help me
Answer:
B I think
Step-by-step explanation:
Solve Each Equation PLS SHOW WORK
9. |8m + 7| - 5 = 60
Answer:
Step-by-step explanation:
assuming '|' is ()
(8m + 7) - 5 = 60
8m + 7 = 60 + 5 = 65
8m = 65 - 7 = 58
m = 58/8 = 7.25
What is the written form of 245,698?
O
A. wo hundred forty-five and six ninety-eight
B. two hundred thousand six hundred
OC. wo hundred forty-five thousand six hundred ninety-eight
oD. wo million forty-five thousand six hundred ninety-eight why is there nothing here
Answer:
C
it is c it is c, can't really explain it further
Answer:The Answer is c
Step-by-step explanation:
two hundred =2
forty=4
five=5
six hundred=6
ninety=9
eight=8
245,698
A dolphin was swimming 3 feet below sea level. The number line shows the
location of the dolphin. It then dove down 6 feet. Describe how to use the
number line to find the new location of the dolphin,
Answer:
-9
Step-by-step explanation:
you have to go left wards 6 times from -3
The correct answer is option C which is on the number line move 6 units left and stop at -9 the dolphin will now be at 9 feet below sea level.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
It is given that a dolphin was swimming 3 feet below sea level. The number line shows the location of the dolphin. It then dove down 6 feet.
In the graph, we can see that from -3 point the 6 units left will be -9 point. Therefore the correct answer is option C which is on the number line move 6 units left and stop at -9 the dolphin will now be at 9 feet below sea level.
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160 is what % of 40
plz explain
Answer:
150%
Step-by-step explanation:
this is because you can make a part to whole ratio where you have x/100 (which would symbolize the percent) and 160/40 (which would symbolize the part) then, multiply 160 by 100 to get 16000 and then divide by 40 to fulfill the x. Hope this helps!
Solve for x. 4(4x-8)^2+16=25
Let's solve your equation step-by-step.
4(4x−8)2+16=25
Step 1: Simplify both sides of the equation.
64x2−256x+272=25
Step 2: Subtract 25 from both sides.
64x2−256x+272−25=25−25
64x2−256x+247=0
Step 3: Factor left side of equation.
(8x−13)(8x−19)=0
Step 4: Set factors equal to 0.
8x−13=0 or 8x−19=0
x=13/8 or x=19/8
What will happen to the slope of line P if the line is shifted so that the y-intercept increases and the x-intercept remains the same?
The slope will change from positive to negative
The slope will increase
The slope will change from negative to positive
The slope will decrease
Answer:
Step-by-step explanation:
⊕ The slope will increase
what is the opposite of the integer -23
Answer:
23
Step-by-step explanation:
The opposite of a number is the opposite sign of it. So, the opposite of a negative number is a positive number:
Opposite of -23 is 23
My sister asks you guys for help once more!
What is the value of 7/10 - 3/6?
Answer:
Part 1: 10, Part 2: 6
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
7/10 - 3/6
42/60 - 30/60 = 12/60
12/60 = 6/30 = 1/5
Nathan has a 16 ounce energy drink. He drinks 9 ounces. Enter the percentage of ounces Nathan has left of his energy drink. Round your answer to the nearest hundredth
Answer:
56%
Step-by-step explanation:
Let me know if you need an explanation! Hope this helped :)
Answer:
43.75%
Step-by-step explanation:
step 1
16-9=7
7ounce remains
step2
7 of 16 ounce remains
convert into percentge
7/16×100=43.75%
Find the value of n: 4/5* n/6=4/5 /n/6
The value of n is ±6.
What is Multiplication?
Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
The expression is given as,
4/5 × n/6 = 4/5/n/6
Now, Solve the equation as,
4/5 × n/6 = 4/5/n/6
4/5 × n/6 = 4/5 × 6/n
n/6 = 6/n
After cross multiplication,
n² = 36
Taking square root,
n = √36
n = ±6
Hence, The value of n is ±6.
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The Davis family traveled to Silver Lake in five hours. Their return trip took StartFraction 7 Over 8 EndFraction of the time it took to travel to the lake. How long did the return trip take?
Answer: Im pretty sure the answer is 4 and 3/8
Step-by-step explanation:
hope this helps!
Answer:
4 and 3/8
Step-by-step explanation:
Plz brainliest
Please help tia!!!!!!
Answer:
i believe the answer for #2 is F but i could be wrong
Answer:
F
Step-by-step explanation:
List the first five multiples of each number.
5
7
12
16
Answer:
For the number 5 the multiples are 5, 10, 15, 20, 25
For the number 7 the multiples are 7 ,14 ,21 ,28 ,35
For the number 12 the multiples are 12 ,24 ,36 ,48 ,60
Last for the the number 16 the multiples are 16, 32, 48, 64, 80
Step-by-step explanation:
HAVE A GOOD DAY!
Answer:
Step-by-step explanation:
5- 5,10,15,20,25.
7- 14, 21, 28, 35
12- 24, 36, 48, 60, 72
16- 32,48,64, 60
I hope this helps:)
Which graph shows the solution to this system of inequalities? y -3x - 2
y < x + 1
Answer:
C.Step-by-step explanation:
You're welcome
Does the graph represent a
proportional or non-proportional
relationship?
Answer:
i think its non-proportional
A car travels 198 miles in 3 hours. Assuming that the distance varies directly with the time, how far will the car travel in 5 hours
Answer:
330 miles
Step-by-step explanation:
198/3 = 66; this shows how fast the car is going per hour
66 * 5 = 330; this is how far the car goes in 5 hours
Which is not Figurative
5 people will equally split 861 acres of land. How much land will each person get?
Write your answer as a decimal.
Answer:200.25
Step-by-step explanation:
John is making a recipe that call for 1/4 cup of flour for every 1/2 cup of water. How much water will he need if he uses 1 1/2 cups of flour?
Match the number to the quadrant they are on in the complex plane.
4 + 41
-7 +3i
9 - 181
-1 - 31
Answer: 44
4
13
Step-by-step explanation:
A migrating bird flies 378 miles in 14 hours. How many miles does it fly in 3 hours?
Answer:
81 miles
Step-by-step explanation:
378/14=27
The unit rate is 27 miles per hour
27*3 = 81
could someone explain? i will have brainliest! thanks
Answer:
a. 44
Step-by-step explanation:
using inverse cosine we can find the angle since we have the length of the hypotenuse and adacent
cos^-1 (13/18) = 43.76
PLEASE HELP!!!!!
Write the equation in slope-intercept form.
4y + 12x = 16
Answer:
Y = -3x + 4
Step-by-step explanation:
The given equation in slope-intercept form is y = -3x + 4.
Given that, the equation in slope-intercept form is 4y + 12x = 16.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Here, 4y + 12x = 16
⇒ 4y = -12x + 16
⇒ y = -3x + 4
The slope of an equation is -3.
Therefore, the given equation in slope-intercept form is y = -3x + 4.
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estimate of 372 divided by 4
please simplify
-2c + 7 + 2c
Answer:
7
Step-by-step explanation:
Let's simplify step-by-step.
−2c+7+2c
Combine Like Terms:
=−2c+7+2c
=(−2c+2c)+(7)
=7