Ask question

Ask question

All categories

Delicious77 [7]

3 years ago

12

ramon earns $10 an hour plus a one time traveling fee of $15. write an equation where y is the amount of ramon earns for x amoun

t of hours.

2 answers:

lord [1]3 years ago

7 0

Answer:

y=10x+15

Step-by-step explanation:

y= is the amount that ramon earns, this part is already given.

10 dolars an hour so since the question says x anount of hours you'd add x to 10 making 10x

plue a one time traveling fee of $15 so you add that to the equation too

vampirchik [111]3 years ago

4 0

Answer:

y = 10x + 15

Step-by-step explanation:

Using slope-intercept form (y = mx + b), we know how to format Ramon's earnings.

First, we need to figure out <em>m</em>, the amount he will make consistently (this can be represented as a slope). We know that Ramon will earn $10/hour, so this will be our 'm'.

—> y = $10x + __

Next, we need to find b, or our y-intercept. The y-intercept is a one-time thing in slope-intercept form, so all we have to do is find the amount he will make only <em>once</em>. This will be $15, or the traveling fee.

—> y = $10x + $15

Now, we have our equation!

You might be interested in

What is a discrete probability distribution? What are the two conditions that determine a probability distribution? What is a

choli [55]

Answer:

The answers to the question above are given below:

Step-by-step explanation:

Question: What is a discrete probability distribution?

<u>Answer</u>

A discrete distribution is very important in data research as it shows in tabular form the probabilities that can be found in a list of distribution values and their individual probabilities in counted data. Usually, from the pool of distribution of numbers, the discrete distribution shows the probability of having countable numbers out of the pool.

<u>Question:</u> Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above

The correct answer is: option B "discrete probability distribution lists each possible value a random variable can assume, together with its probability."

Question: What are the two conditions that determine a probability distribution?

<u>The correct answer is</u>:

1. Since each value may not be zero, each probability must include between 0 and 1.

2. When probabilities are totaled, it must give 1.

7 0

3 years ago

What is the answer for this problem -8 - -2 = ?

VashaNatasha [74]

Answer:

if im not wrong im pretty sure its -6

explanation: -8 - -2 = -6

8 0

3 years ago

Read 2 more answers

Multiplying desimals

kolezko [41]

Answer:

Line up the numbers on the right - do not align the decimal points.

Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

Add the products.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 deg

julia-pushkina [17]

Answer:

Approximately $101\; \rm ft$ (assuming that the height of the base of the hill is the same as that of the observer.)

Step-by-step explanation:

Refer to the diagram attached.

Let $\rm O$ denote the observer.
Let $\rm A$ denote the top of the tree.
Let $\rm R$ denote the base of the tree.
Let $\rm B$ denote the point where line $\rm AR$ (a vertical line) and the horizontal line going through $\rm O$ meets. $\angle \rm B\hat{A}R = 90^\circ$ .

Angles:

Angle of elevation of the base of the tree as it appears to the observer: $\angle \rm B\hat{O}R = 51^\circ$ .
Angle of elevation of the top of the tree as it appears to the observer: $\angle \rm B\hat{O}A = 57^\circ$ .

Let the length of segment $\rm BR$ (vertical distance between the base of the tree and the base of the hill) be $x\; \rm ft$ .

The question is asking for the length of segment $\rm AB$ . Notice that the length of this segment is $\mathrm{AB} = (x + 20)\; \rm ft$ .

The length of segment $\rm OB$ could be represented in two ways:

In right triangle $\rm \triangle OBR$ as the side adjacent to $\angle \rm B\hat{O}R = 51^\circ$ .
In right triangle $\rm \triangle OBA$ as the side adjacent to $\angle \rm B\hat{O}A = 57^\circ$ .

For example, in right triangle $\rm \triangle OBR$ , the length of the side opposite to $\angle \rm B\hat{O}R = 51^\circ$ is segment $\rm BR$ . The length of that segment is $x\; \rm ft$ .

$\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}$ .

Rearrange to find an expression for the length of $\rm OB$ (in $\rm ft$ ) in terms of $x$ :

$\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}$ .

Similarly, in right triangle $\rm \triangle OBA$ :

$\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}$ .

Equate the right-hand side of these two equations:

$0.810\, x \approx 0.649\, (x + 20)$ .

Solve for $x$ :

$x \approx 81\; \rm ft$ .

Hence, the height of the top of this tree relative to the base of the hill would be $(x + 20)\; {\rm ft}\approx 101\; \rm ft$ .

6 0

3 years ago

A student thinks that the regular pentagon in the diagram

Nadya [2.5K]

Answer:

A

Step-by-step explanation:

The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!

4 0

3 years ago