two cruise ships are sailing towards each other from caribbean islands that are 264 km apart, one ship travels 4 km/h faster than the other. if they both started at the same time. and meet after 6h. how fast is the other ship travelling?

Answers

Answer 1

Final answer:

The slower ship is traveling at a speed of 21 km/h, while the faster ship is traveling at a speed of 25 km/h.

Explanation:

This is a mathematics problem that involves solving for unknown speeds with the given conditions. Lets assume the speed of the slower ship is x km/h. Thus, the speed of the faster ship is x+4 km/h. They are moving towards each other, thus their combined speed is (x+x+4) km/h. As speed is distance over time, we can set up the equation: (2x+4)*6 = 264. Solving this equation, we end up with x=21 km/h as the speed of the slower ship, and hence the speed of the faster ship is 25 km/h.

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Related Questions

What is the slope of this graph?

Answers

Since the slope is falling, instead of rising, it would be negative.

Now, on the line, I plotted (0, 2) and (-2, 10).

You would now plug this into the rise/run formula.
The formula is [tex] \frac{y2 - y1}{x2 - x1} [/tex]

The equation would become,
[tex] \frac{10 - 2}{-2 - 0} [/tex] = [tex] \frac{8}{-2} [/tex] = -4

I believe the answer would be -4.

I hope this helps!

Solve for x: −3 |x + 7| = −12

Answers

[tex]-3|x + 7|=-12\quad |:(-3)\\\\|x+7|=4\\\\\\x+7=-4\qquad\vee\qquad x+7=4\\\\x=-4-7\qquad\vee\qquad x=4-7\\\\\boxed{x=-11\qquad\vee\qquad x=-3}[/tex]

first you divide both sides by -3
then you get |x + 7| = 4
what you do now is make two separate equations
drop the absolute value signs
x + 7 = 4 OR x + 7 = -4
subtract 7 from both sides AND BOTH EQUATIONS
x = -3 OR x = -11

lets check it!

-3 |-3 + 7| = -12 -3 |-11 + 7| = -12
-3 |4| = -12 -3 |-4| = -12
-3 (4) = -12 -3 (4) = -12

yep! your answers are x = -3 OR x = -11

i hope this helps!!

A rectangular prism has a length of 3/4 cubic inch and a width of 1/2 inch. The volume is 21/32 cubic inch. Find the height of the prism. Write your answer as a mixed number in simplest form.

Answers

21 / 32 = (3/4) * (1/2) * height

21 / 32 = (3 / 8) * height

21 / 32 * (3 / 8) = height =

63 / 256 inches

Answer:

[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]

Step-by-step explanation:

Volume of rectangular prism = Length x Width x Height

[tex]\texttt{Volume of rectangular prism =}\frac{21}{32}\\\\\texttt{Length =}\frac{3}{4}\\\\\texttt{Breadth =}\frac{1}{2}[/tex]

Substituting

[tex]\frac{21}{32}=\frac{3}{4}\times \frac{1}{2}\times h\\\\h=\frac{7}{4}=\frac{4+3}{4}=1\frac{3}{4}[/tex]

[tex]\texttt{Height of the prism}=1\frac{3}{4}[/tex]

One number is 4 less than a second number. twice the second number is 19 less than 5 times the first. find the two numbers.

Answers

the answer is because i know so

What is 334.54 + 198 grams

Answers

334.54 + 198 = 532.54 grams total

hope this helps

ANSWER without rounding: 532.54 grams

Question: Is this a significant figures question?

ANSWER round to the significant figures: 533 grams

When you do addition you use the number with the least number of decimals places to determine how many decimal places will be in your answer. There are no decimal places in 198 so you would round before the decimal place in the answer (ones place).

Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows? Enter your answer in the box. min

Answers

Answer would be 30 mins
10 rows = 12 mins
10 rows = 12 mins
5 rows = 6 mins
----- -----
25rows 30 mins

10r=12m
5r=6m
25r=?m
25r=30m
It will take her 30 minutes to knit 25 rows

Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = eight divided by x squared + 2

Answers

The first thing to notice in this problem is that the math solution PEMDAS will be in effect. You will have y = 8/ (x^2 + 2) Since x isn't clarified, then there is no way to complete the solution or simplify it. This problem was worded and showed weird.

How many 1/3 pound paperback books together weigh 25 pounds?

Answers

75 I think since 75 divided by 3 equals 25

Final answer:

We can find the quantity of 1/3 pound paperback books that weigh a total of 25 pounds by performing the calculation, 25 ÷ 1/3 or equivalently, 25 x 3, which equals 75. Therefore, we would need 75 of these books to total 25 pounds.

Explanation:

To find out how many 1/3

pound

paperback

books weigh a total of 25 pounds, we use division. Since each book weighs 1/3 of a pound, we divide the total weight we want (25 pounds) by the weight of each individual book (1/3 pound). So, our calculation would look like this:

25 ÷ 1/3

. In mathematics, dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of 1/3 is 3/1, or just 3. So, our calculation is now:

25 x 3

. Multiplying 25 by 3 gives us 75. So, we would need

of these paperback books to

weigh

a total of 25 pounds.

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Solve for x. 5x−2(x+1)=1/4

Answers

5x - 2(x+1) = 0.25

5x - 2x + 2 = 0.25

3x = 0.25 - 2

3x/3 = -1.75/3

x = - 0.583

hope this helps

5x - 2(x+1) = 0.25

5x - 2x + 2 = 0.25

3x = 0.25 - 2

3x/3 = -1.75/3

x = - 0.583
yes ik i copied but points are worth more than integrity

How to write three times the difference of two times m and five is equal to eight times m to the second power increased by four in a problem?

Answers

you would have to do 14 promblems'

A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Describe how a sequence can be used to determine the height of the ball when it reaches its fourth peak.

Answers

Hey there!

A= value of the first term
n= the number of the term you want to find
r= common ratio
value of r is = 2/3 because 27 times 2/3 = 18 which is the second term
n = 4 since you want to find the 4th term in the sequence
Plug it in and results are
4th term = 27(2/3)^(4-1) = 8
The answer is 8

Hope this helps!

A sequence can be used to illustrate the difference in heights of each jump and develop a pattern from them. In this case, we have 27, 18, 12,... Assuming the pattern continues, we have the previous height divided by 3 and then subtracted from itself:
[tex]a_n=a_{n-1}-\frac{a_{n-1}}{3}[/tex]

Here:
[tex]a_4=a_3-\frac{a_3}{3}=12-\frac{12}{3}=12-4=8[/tex]

PLEASE HELP QUICK!!!!!
WILL GIVE BRAINIEST TO FIRST ANSWER

Solve the inequality below for t.
9 - 7t > -9 - 4t

A. t is greater than or equal to 0
B. t is less than or equal to 0
C. t is grater than or equal to 6
D. t is less than or equal to 6

Answers

The answer is D
Solve for " t " by simplifying both sides of the inequality, then Isolating the variable.

Hoped this helped.

Please help, this is due in 5 minutes

Answers

notice, "x" is a variable, so it varies, it will take on many values.

usually car dealers will say, you need to pay some processing fee, a flat-fee, and after that, you get charged for the "wear and tear" of the car, so by the mileage you drive, the more miles you drive, the more wear and tear, therefore, the more you pay, the less you drive, the less you pay.

0.15x <---- 15 cents for every "x", miles

if you drive 200 miles you owe 0.15(200)
300 miles the 0.15(300) and so on.

the 22, is never changing in that equation, is a constant, just like the flat-fee.

[tex]\bf \stackrel{cost}{y}=\stackrel{\textit{15c per mile}}{0.15x}+\stackrel{flat-fee}{22}[/tex]

What is the square root of 53 rounded to the nearest hundreth

Answers

7.28 is the answer rounded to the nearest hundredth.
7.28010988928

A right triangle has one angle that mesures 23. The adjacent leg measures 27.6 cm and the hypotenuse measures 30cm.

What is the approximate area of triangle? Round to the nearest tenth

Area of the triangle =1/2bh

A:68.7cm^2
B.161.7cm^2
c.381.3cm^2
D450.cm^2

Answers

you can start by finding the height or altitude ("alt" = vertical side touching hypotenuse and bottom base):
tangent (23) = opposite/adjacent (TOA), where opposite is altitude and adjacent is base
So tangent (23) = alt/27.6cm
alt = 27.6×tan23 = 27.6×0.424
alt = 11.72cm
So now area = 1/2 (b)(h), where h=alt
area = 1/2 (27.6cm)(11.72cm) = 161.7cm^2
[tex] 161.7{cm}^{2} [/tex]
So the correct answer is [B.]

1) Which statement about 5y = 2x is true?

A) The equation represents a direction variation whose consent of variations is 5/2.

B) The equation represents a direct variation whose consent of variations is 2/5.

C) The equation does not represent a direction variation.

D) The equation does not represent a line through the origin.

2) What is the equation of the graph of y = |x| shifted 3 units up?

A) y = |x| – 3

B) y = |x| + 3

C) y = |x + 3|

D) y = |x – 3|

3) Two parallel lines form an inconsistent system of equations that has no solution.

True
or
False

Answer all and Show or Explain your answer :)

Answers

1) B you can divide both sides of the equation by 5 and it will be of the form y = kx which is direct variation

2) B f(x) + k is a vertical shift up k units

3) True Because parallel lines have the same slope and different y - intercepts they do not touch thus called inconsistent. Since they do not touch they will not have a solution.

Thomas paid $5 for a multicolor file folders. There were 100 folders in the box .what was the cost of each folder?

Answers

Thomas paid $5 for 100 folders, to find cost of each folder:

5/100 = $0.05

Therefore, the cost of each folder was $0.05

Hope I helped :)

5 divided by 100, since there were 100 folders n total is 5

0.05

:))

write in graphing form please! A parabola that opens down with no stretch factor that has a vertex of (-6,5)

Answers

If it has no stretch factor, then there will be no coefficient. Meaning this is a lot easier. So, we equation is

(x+6)^2 + 5

Hope this helps!

A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?

Answers

Answer: the answer is 1.18p

Step-by-step explanation:

It is trust me (;

The question that says " a school has 1200 pupils "

Answers

how many girls like sports? well, what's 2/5 of 1200? well, is just their product, 2/5 * 1200.

how many boys like sports? well, what's 3/5 of 1200? 3/5 * 1200.

[tex]\bf \cfrac{2}{5}\cdot 1200\implies \cfrac{2\cdot 1200}{5}\implies \cfrac{2400}{5}\implies \stackrel{girls}{480} \\\\\\ \cfrac{3}{5}\cdot 1200\implies \cfrac{3\cdot 1200}{5}\implies \cfrac{3600}{5}\implies \stackrel{boys}{720} \\\\\\ \textit{how many }\stackrel{students}{pupils}\textit{ like sports?}\qquad 480 + 720[/tex]

If 3^2x+1=81, what is the value of x?

x=1/4
x=1/2
x=3/2
x=2/3

Answers

3^(2x+1)=81

3^(something)=81
3^4=81. I know this because 3X3X3X3=81
If I know 3^4=81, then I need to find a solution to get 4 for my exponent.
Let's solve.
2x+1=4
2x=3
x=3/2

When matter changes state, what two things are always conserved?

Answers

Even though matter changes state, there are two things which are always conserved: they are mass and chemical composition. Just because the state has changed, it does not mean that any new molecules are either created or have been destroyed. The Law of Conservation of mass explains this concept.

In a change of state, mass and energy are the two things that are always conserved, in accordance with the law of conservation of matter and the first law of thermodynamics, respectively.

When matter changes state, the two things that are always conserved are mass and energy. This is explained by the law of conservation of matter, which states that the total mass of the products must equal the total mass of the reactants in a chemical reaction, and the law of conservation of energy, often referred to as the first law of thermodynamics.

In any given closed system, neither mass nor energy is created or destroyed, but can be transformed from one form to another. For example, when a substance burns, its matter is not lost but is instead transformed into other substances with the same total mass. Likewise, energy can be moved or transformed, but the total amount of energy remains constant. These principles apply to both living and non-living systems, keeping the total quantity of matter and energy fixed in the universe.

Simplify 4x2(2x2− 8x + 6). 8x2− 32x + 24 6x2− 32x + 24 6 − 32x + 24x2 8x4− 32x3+ 24x2

Answers

4x^2(3x^2-8x+6)
(4*3)(x^(2+2))+(4*-8)(x^(2+1))+(4*6)(x^(2+0))
12x^4-32x^3+24x^2

The slope of the line below is –. Write a point-slope equation of the line using the coordinates of the labeled point.

A. y + 4 = 8/7 –(x + 4)
B. y – 4 = 8/7–(x – 4)
C. y – 4 = 8/7(x – 4)
D. y + 4 = 8/7(x + 4)

Answers

y - 4 = -8/7(x - 4) is the answer

True or False: Is the number 2 a solution to 7≥−3k

I'm not sure about this. Please explain

Answers

It is true. If you substitute 2 in for k, then 7 is greater than or equal to -6. this statement is true because 7 is indeed greater than 6.

t is true. If you substitute 2 in for k, then 7 is greater than or equal to -6. this statement is true because 7 is indeed greater than 6.

Sandy bought a soft drink for 2 dollars and 6 candy bars. she spent a total of 20 dollars. how much did each candy bar cost

Answers

each candy bar was $3.00.

Write an equation of the line that passes through the points (−3,12) and (0,6)

An equation of the line is y=

Answers

slope = (6 - 12)/(0 +3) = -6/3 = -2

b = 6
so

An equation of the line is
y = -2x + 6

PLEASE HELP!!! Will give brainliest!

Answers

The correct answer would be 24, I don't know how to show the work but you can go on youtube.

Hope this helps!

What is the best approximation for the measure of angle ABC?

Answers

cos(x) = 10.5 / 20
cos(x) = 0.525

answer
C.
x = 58.3"

Square tiles 9-inches on a side cover the floor of a rectangular room exactly. the border tiles are white and all other tiles are blue. the room measures 18 feet by 15 feet. how many tiles are white

Answers

first convert feet to inches:
18 ft × (12in/1ft)= 216 in
15 ft × (12 in/1ft)= 180 in

divide each side of the room by 9 inches to get number of white tiles per a wall

wall 1(18ft): 216in/9in= 24 white tiles
wall 2(15ft): 180in/9in= 20 white tiles
wall 3(18ft): 216in/9in= 24 white tiles
wall 4(15ft): 180in/9in= 20 white tiles

Lastly, add up all the white tiles and subtract 4 (the tiles that we counted twice because they were the corner tiles and touched both walls)

24+20+24+20-4= 84 white tiles total

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