A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.



Assuming that the ship travels at a constant speed, what is its speed? Show your thinking.

Answer:

2x + 8y = 60= 30

5x + 4y = –10= -2

Step-by-step explanation:

Simplifying

2x + -8y = 60

Solving

2x + -8y = 60

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.

2x + -8y + 8y = 60 + 8y

Combine like terms: -8y + 8y = 0

2x + 0 = 60 + 8y

2x = 60 + 8y

Divide each side by '2'.

x = 30 + 4y

Simplifying

x = 30 + 4y

Answer:

8x and 4x(2) + 5

Step-by-step explanation:

It doesn't make sense but I am pretty sure this is correct

Step-by-step explanation:

(x+5)(x+3)=0

x+5=0 or x+3=0

x=-5or x=-3

(-5)^2-9=0

10-9=0

1=0

(-3)^2-9=0

9-9=0

0=0

Answer:

(-6,4)

Step-by-step explanation:

-7-(-1)=-6

7-3=4

Answer:

376 units and 1,857 units

Step-by-step explanation:

The computation is shown below:

The number of units that company sells to break even is

Let us assume the number of units be x

$16,000  + $8.20x  = $50.75x

$16,000 = $50.75x - $8.20x

$16,000 = $42.55

x = $16,000 ÷ $42.55

= 376 units

Now in order to make the profit the number of units sold is

$50.65x - ($16,000 + $8.20x) = $95,000

$50.65x - $16,000 - $8.20x = $95,000

$42.55x = $95,000 - $16,000

$42.55x = $79,000

x = $79,000 ÷ $42.55

= 1,857 units

Answer:

[tex]3 \frac{1}{3}[/tex]

Hope this helps.

Step-by-step explanation:

Answer:

Percentage: 333.3%

Decimal Form:  3. 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2 {y}^{3} - {y}^{3} [/tex]

[tex] {y}^{3} \: (collect \: like \: terms)[/tex]

Answer:

23.5

Step-by-step explanation:

I'm not sure if its correct or not

Answer:

1/25 to get both correct

Step-by-step explanation:

So the probability of getting one choice correct is 1/5

Since 5 choices 1 is correct

now we have to get 2 in a row correct so

1/5*1/5=1/25

Answer:

1,000$

Step-by-step explanation:

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Answer:

1.05x

Step-by-step explanation:

Answer:

The distance between points A and B is 3 units

Step-by-step explanation:

We need to find distance between points on the number line.

The points given are:

A = -1 , B = 2

The formula used is: [tex]Distance = |b-a|[/tex]

Putting values of a and b and finding answer:

[tex]Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3[/tex]

So, The distance between points A and B is 3 units

Answer:

Step-by-step explanation:

Given point

Dilation by a scale factor of 74:

Rotation by 180°:

Answer: to wirte and solve for a missing side length of a rectangle, do your perimeter equation backwards, hope this helps

Step-by-step explanation:

Answer:

The domain of the function f(x) is:

[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

The range of the function f(x) is:

[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=5\left|x\right|[/tex]

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

We know that the range of an Absolute function is of the form

[tex]c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]

[tex]k=0[/tex]

so

Thus, the range of the function f(x) is:

[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]

Answer: 30

Step-by-step explanation: each 1/4 is 10. So 30 is 3/4

Answer:

Multiply four on both sides

Step-by-step explanation:

;)

Answer:

Angle 2 = 75 degrees

Angle 1 = 105 degrees

Answer:

C. Yes, by distributive property

Step-by-step explanation:

Distributive property states that 3 can be distributed to all of the terms inside of the parentheses, namely x and -2. 3x + 3(-2) = 3x-6

Answer:

C.11

Step-by-step explanation:

By drawing the line of best fit (using the other points) you can estimate how long 14 rows will take, which is 11 minutes.

Answer:

x < 2

Step-by-step explanation:

I hope this help you

Answer:

This is a right angle.

Step-by-step explanation:

As you can see below, the angle specified is 90 degrees. That is a right angle.

Answer:

5/28

Step-by-step explanation:

Salvador sold hats during a weekend sporting event. On Saturday, Salvador sold 4/7 of the total number of hats. On Sunday, he sold 1/4 of the total number of hats. What fraction of the total number of hats was left over

Total number of hats = x

Hats sold on Saturday = 4/7x

Hats sold on Sunday = 1/4x

Hats left over = x - (4/7x + 1/4x)

= x - ( 16x+7x/28)

= x - 23/28x

= 28x - 23x/28

= 5/28x

Answer:

y=2x-5 and y=3-2x

Step-by-step explanation:

Answer:

See the attached

Step-by-step explanation:

Solution is given on the picture

Answer:

A

Step-by-step explanation:

1*1/4 is One lap, but you want 23 laps so exchange the 1 with a 23:

23*1/4

A

Answer:

bitter

Step-by-step explanation:

Answer:

1682

Step-by-step explanation:

because if you add or subtract or divide or times it it will some how show the answer and you will have to take the risk of it being right or nor

Answer:

:)

Step-by-step explanation:

7x+5>2x+35

5x>30

x>6