6x − 9 x − 5 value x

Answers

Answer 1
Answer: Let's simplify step-by-step.6x9x−5=6x+9x+−5Combine Like Terms:=6x+9x+−5=(6x+9x)+(−5)=3x+−5Answer:=3x5

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Joe drank 4 liters of water on monday and 4 deciliter of water on tuesday. How much more water did he drink on monday than on tuesday

Answers

3.6 liter or (40-4)= 36 deciliters more...

36 is equal 3.6 deciliters

Find mFraction form

Answers

Answer:

130

Step-by-step explanation:

A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.

Answers

Chair=x

Table=y

Desk=z

\begin{Bmatrix}x+y&=&40\ny+z&=&83\nx+z&=&77\end{matrix}

keep the first row as normal, then in the other ones, we can isolate Y and X

\begin{Bmatrix}x+y&=&40\ny&=&83-z\nx&=&77-z\end{matrix}

now we can replace at first row...

\begin{Bmatrix}(77-z)+(83-z)&=&40\ny&=&83-z\nx&=&77-z\end{matrix}

\begin{Bmatrix}160-2z&=&40\ny&=&83-z\nx&=&77-z\end{matrix}

\begin{Bmatrix}-2z&=&40-160\ny&=&83-z\nx&=&77-z\end{matrix}

\begin{Bmatrix}-2z&=&-120\ny&=&83-z\nx&=&77-z\end{matrix}

\begin{Bmatrix}z&=&60\ny&=&83-z\nx&=&77-z\end{matrix}

now we can replace the Z to discovery the other value

\begin{Bmatrix}z&=&60\ny&=&83-60\nx&=&77-60\end{matrix}

\boxed{\boxed{\boxed{\begin{Bmatrix}Chair&=&17\nTable&=&23\nDesk&=&60\end{matrix}}}}

Which ones are functions?

Answers

Answer:

1 and 4

Step-by-step explanation:

All the other options have corresponding x-values

Answer:

The first and fourth options

Step-by-step explanation:

If it's a function no input and have more than one output.

A ship is sailing due north. At a certain point the bearing of a lighthouse is N 42.8∘E and the distance is 10.5. After a while, the captain notices that the bearing of the lighthouse is now S 59.7∘E. How far did the ship travel between the two observations of the lighthouse?

Answers

Answer:

How far did the ship travel between the two observations of the lighthouse  = 9.29

Step-by-step explanation:

the first step to answer this question is drawing the illustration as the attachment.

P is the ship, R is the light house and Q is the bearing.

PR is the distance between the ship and the light house, PR = 10.5

∠P = 42.8°, ∠Q = 59.7°

Thus, ∠R = 180° - ∠P  - ∠Q

               = 180° - 42.8°- 59.7°

               = 77.5°

PQ is the the distance of the ship moving. We can use the sinus equation

(PR)/(sin R) = (PQ)/(sin Q)

(10.5)/(sin 77.5°) = (PQ)/(sin 59.7°)

PQ = ((10.5)/(Sin 77.5°))(sin 59.7°)

     = 9.29

Final answer:

Using trigonometric principles, the ship is estimated to have traveled approximately 19.8 miles between the two observations.

Explanation:

Your question involves the application of trigonometry in real life, in this case, calculating the distance traveled by a ship. The first sighting puts the lighthouse at N 42.8 degrees E, and the second sighting puts it at S 59.7 degrees E. So, the angle turned by the ship, relative to the lighthouse is 42.8 degrees + 59.7 degrees = 102.5 degrees.

We know the distance to the lighthouse from the first sighting is 10.5 units (let's say miles), and we need to find the distance traveled by the ship in the meantime. So, if we draw this situation it will resemble a triangle with the lighthouse as one point, and the initial and final positions of the ship as other points. The triangle will have one angle (between the initial position of the ship, the lighthouse, and the final position of the ship) of 102.5 degrees and one side (distance from the lighthouse to the initial position of the ship) of 10.5 miles. Now, the side of a triangle opposite an angle in a triangle is given by the side adjacent to the angle times the tangent of the angle.

So, the distance traveled by the ship = 10.5 * tan(102.5) = 19.8 miles approximately.

Learn more about Trigonometry here:

brainly.com/question/11016599

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Wilma can mow a lawn in 40 minutes. Rocky can mow the same lawn in 120 minutes. Construct an equation that would allow you to determine how long it would take them to mow 2 lawns if they worked together. Use t to represent the number of minutes they work.

Answers

Answer:

r_(w)*t + r_(r)*t = 2 jobs\n (1)/(40) *t + (1)/(120) *t = 2

Step-by-step explanation:

Given are the time it takes for each worker (Wilma and Rocky) to mow one lawn.

To derive a formula to be able to find the time it takes if they work together we first need to find the rate of work of each worker

The basic formula for rate of working is as follow

rate(r) = (Job)/(time)

Lets calculate the rate of work for Wilma and Rocky

Wilma

r_(w) = (1)/(40)

Rocky

r_(r) = (1)/(120)

Notice the 1 at the numerator, this is because the times are given for one job.

To complete two jobs together we derive the following formula based on adding their rates together

r_(w)*t + r_(r)*t = 2 jobs\n (1)/(40) *t + (1)/(120) *t = 2