A container ship is overtaking an oil tanker on the way out of Harwich Harbor, and the first mate notices that if he starts walking from the front of the container ship when the two ships start overlapping, he reaches the back as the two ship separate. He walks at 3 km/hour.
If the container ship is 100 m long, and travelling at 12 km/hour, how long is the oil tanker?

Answer:

x = 20, y = 110

Step-by-step explanation:

For x:

[tex]5x + 45 + 3x - 25 = 180\\8x + 20 = 180\\8x = 160\\x = 20[/tex]

For y:

[tex]y + 2x - 5 + 3x - 25 = 180\\y + 2(20) - 5 + 3(20) - 25 = 180\\y + 40 - 5 + 60 - 25 = 180\\y + 35 + 35 = 180\\y + 70 = 180\\y = 110[/tex]

Answer:

[tex]2yz^2\sqrt[3]{z^2x^2}[/tex]

Step-by-step explanation:

3

hope that´s correct

Answer:

a) -12

b) -4

c)-2

Step-by-step explanation:

a) pattern is minus 5

b) pattern is minus 8

c) pattern is plus 4

Answer:

I also just noticed that is saying construct a segment of the lenght of both of them so after you have both lenght measure them draw AB close point get CD and trace it over start from B and there you have the big segment which is made of both of them AB + CD

:)

Step-by-step explanation:

So basically get your compass and start by these steps

first get the total lenght of AB lets say its 100

when you go to make CD angle all you have to do

its trace same line and there you got both points same sizes

I hope that helped.

Answer:

x = 7.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

see attached

From the similar triangles value of x is √39. Therefore, option E is the correct answer.

From the given triangle, CD=13, BD=3 and AD=x.

Given that, ΔABD is similar to ΔCAD.

CD/AD = AD/BD

13/AD = AD/3

39 = AD²

AD = √39 = x

Therefore, option E is the correct answer.

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Answer:

the answer is (0,-2) trust bro I did the work

Answer:

answer is 160

Step-by-step explanation:

1. We assume, that the number 40 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 40, so we can write it down as 100%=40.

4. We know, that x% equals 64 of the output value, so we can write it down as x%=64.

5. Now we have two simple equations:

1) 100%=40

2) x%=64

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=40/64

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64 is what percent of 40

100%/x%=40/64

(100/x)*x=(40/64)*x    

100=0.625*x

100/0.625=x

160=x

x=160

now we have:

64 is 40% 160

Answer: The Earth makes one rotation every day.

Step-by-step explanation:

Answer:

593775

Step-by-step explanation:

Answer:

1. Simplify each side of the equation by removing parentheses and combining like terms.

2. Use addition or subtraction to isolate the variable term on one side of the equation.

3. Use multiplication or division to solve for the variable.

Answer:

To square a number multiply the number by itself

Is true statement

Step-by-step explanation:

Answer:

to square a number you multiply it by its self!

Step-by-step explanation:

for example if you wanted to square 4 you would multiply 4 times 4 and get 16... so 4 squared would be 16

can I have the brainlest answer?

Answer:

Luke = 0.75

Owen = 0.04

Jacob = 2.9

Step-by-step explanation:

A model = 100 small squares

100 small squares = 1

Luke shades three fourths of one model.

Luke = 3/4 of 1 model

= 3/4 × 1

= 0.75

Owen shades four small squares of one model.

Owen = 4/100

= 0.04

Jacob shades two full models and nine tenths of another model

Jacob = 2 + 9/10

= 2 + 0.9

= 2.9

Luke = 0.75

Owen = 0.04

Jacob = 2.9

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{\frac{84}{15}in^{2}}[/tex]

[tex]\text{Area of a rectangle: A = l * w }\\\\w = 4\frac{1}{5}, \text{ and } l = \frac{4}{3} \\\\\text{Rewrite the mixed number into an improper fraction to make it easier to solve:}\\\\4\frac{1}{5} = \frac{21}{5}\\ \\\text{Multiply the two fractions:}\\\\\frac{21}{5}*\frac{4}{3} = \frac{21*4}{5*3} = \frac{84}{15}in^{2}[/tex]

Answer: PLZ MAKE ME BRAINILIST

Step-by-step explanation:

-10(a+2) = -10a-20

-4(4+3p) = -12p-1

Answer:

116

Step-by-step explanation:

You have to add 18+4 first. You should then get 22.Last you must multiply 22 by 28 to get 116

Solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.

To make a variable a subject of the formula, we solve for the variable.

Given the equation, P=2l + 2w, we are required to solve for w.

Thus:

P = 2l + 2w

Subtract both sides by 2l

P - 2l = 2w

Divide both sides by 2

(P - 2l)/2 = w

w = (P - 2l)/2

Therefore, solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.

Learn more about change of subject of formula on:

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Answer:

.

Step-by-step explanation:

Step-by-step explanation:

W^2 = 46.

We know that 6^2 = 36 and 7^2 = 49.

Therefore W should be between 6 and 7.

Answer:

2x^2-18x

Step-by-step explanation:

Answer:

the common difference is that it's taking away 4 or -4

Answer:

6

Step-by-step explanation:

The I  I is just absolute value, so it will give a positive result. if a=7,

3I-7+5I

-7+5=-2, but because this is absolute value, -2=2

Then you have 3(2),

3*2=6

Answer:

-2x -54 here is the answer

Answer: can i help wat is a tip

x = # of hours the bike was rented.

$40 = $12 + $7x

Subtract $12 from both sides.

$28 = $7x

Divide both sides by $7

4 = x

Sandy rented the bike for 4 hours.

Answer:

No Solution

Step-by-step explanation:

I have tried it a few times and there seems to be no solution. x can't be solved for.

Answer:

no solution

Step-by-step explanation:

Given

3(2x - 1) + 5 = 6(x + 1) ← distribute parenthesis on both sides

6x - 3 + 5 = 6x + 6 , that is

6x + 2 = 6x + 6 ( subtract 2 from both sides )

6x = 6x + 4 ( subtract 6x from both sides )

0 = 4 ← not possible

This indicates the equation has no solution

Answer:

11.1667

Step-by-step explanation:

11 1/6

11*6+1

=67/6

=11.1666666666

=11.1667

Answer:

Step-by-step explanation:

Let your number be X. To increase X by 40% we can multiply it by 1.4, let's call this new number Y.

So Y = X * 1.4

Now to decrease Y by 40% we can multiply it by 1 - .4 = .6. Lets call this new number C.

So C = Y *.6 = (X * 1.4) * .6 = X * (1.4 * .6) = X * .84.

Therefore, C = .84 * X.

So we can see C is 84% of X, or 16% less than X.

Thus, if you increase a number by 40% then decrease it by 40%, the net percentage is -16% .

      Final result in terms of 'x' will be → 0.75x

Let the number = x

As per first statement → "A number 'x' is decreased by 40%"

Algebraic expression for the statement → (x - 40% of x)

                                                                  → (x - 0.4x)

                                                                  → 0.6x

Second statement → "Then increased by 25%"

Algebraic expression for the statement → (0.6x + 25% of 0.6x)

                                                                  → [tex](0.6x+\frac{25}{100}\times 0.6x)[/tex]

                                                                  → [tex](0.6x+0.15x)[/tex]

                                                                  → [tex]0.75x[/tex]

           Therefore, final result in terms of x will be (0.75x).

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