Aidan drops a rock from a cliff after 4.0s, the rock is moving at 39.2m/s what is the acceleration of the rock

a company owns two dealerships, both of which sell cars and trucks. the first dealership sells a total of 164 cars and trucks. t

OLEGan [10]

Answer:

294 cars.

Step-by-step explanation:

Let x be the number of cars and y be the number of trucks.

We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:

$x+y=164...(1)$

The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.

Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:

$2x+\frac{y}{2}=229...(2)$

We can see that total number of cars sold on two dealerships will be $x+2x=3x$ .

We will use substitution method to solve for x. From equation (1) we will get,

$y=164-x$

Substituting this value in equation (2) we will get,

$2x+\frac{164-x}{2}=229$

Now let us have a common denominator.

$\frac{4x}{2}+\frac{164-x}{2}=229$

$\frac{4x+164-x}{2}=229$

Upon multiplying both sides of our equation by 2 we will get,

$2\times \frac{4x+164-x}{2}=2\times 229$

$4x+164-x=458$

$4x+164-164-x=458-164$

$4x-x=458-164$

$3x=294$

Therefore, the total number of cars sold by two dealerships is 294.

7 0

4 years ago

Four transformations of the function f(x) are given below. For each transformation, drag the graph that shows the results of tha

anzhelika [568]

The graph that has been drag into the box in the image attached are the options that shows the results of that transformation.

<h3>What is the Function transformation about?</h3>

Note that there are 4 types of function transformations which are are:

Dilation
Translation
Rotation
Reflection

Therefore, The function above is known to have passed through the following points

(1,1) and (0,-1)

The graphs of the functions

(a) Function g(x)

The equation of the function is given as: g (x) = 2 + f (x)

This implies that f(x) is said to be translated up by 2 units.

The graph that shows this is graph (b)

(b) Function h(x) = f (x + 2)

This implies that f(x) is translated left by 2 units.

The graph that shows this is graph (e)

(c) Function k(x) = f (x) -2

This implies that f(x) is translated down by 2 units.

The graph that shows this is graph (c)

(d) Function m(x) = f (x - 2)

This implies that f(x) is translated right by 2 units.

The graph that depicts this is graph (f)

Therefore, The graph that has been drag into the box in the image attached are the options that shows the results of that transformation.

Learn more about transformation at:

brainly.com/question/26092237

3 0

2 years ago

Which fraction is closer to 1/2 than 1.7/8,10/12,12/14,7/10.

zalisa [80]

Answer:

Step-by-step explanation:4/8

5 0

4 years ago

what is the smallest value of N that will make each number rational from this equation square root of 76+n and square root of 2n

gladu [14]

Answer:

For the smallest common denominator 76+n=2n+25, n would be 51

3 0

3 years ago

Read 2 more answers

I need some help on finding the area

Advocard [28]

Answer:

5x+15

Step-by-step explanation:

area=Length X Width

area= 5 X x+3

area=5(x+3)

area=5x+15

7 0

3 years ago