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4 years ago

What is the first step on the following division problem?

Mathematics

1 answer:

disa [49]4 years ago

4 0

I think that you would divide 6x by 2x so C. maybe
I hope this is right

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Two cars are traveling on two different routes, one 43 miles longer than the other. The car traveling on the longer route travel

dedylja [7]

Answer:

Step-by-step explanation:

Let "s" be the the speed of the car taking the shorter route in $\frac{mi}{hr}$ ,

Let "s-2" the speed of the cat taking the longer route in $\frac{mi}{hr}$ ,

Let "d" be the distance of the shorter route in miles and "d+43" be the distance of the longer route in miles.

Now, Equation for car taking the shorter route is given as:

$d=s{\times}5$ (1)

and Equation for car taking the longer route is given as:

$d+43=(s-2){\times}6$ (2)

Now, substitute equation (1) in (2), we get

$5s+43=6s-12$

⇒ $43+12=s$

⇒ $s=55$

Therefore, equation (1) becomes,

$d=5s=5(55)=275$

Thus, the shorter route is =275 miles and the longer route is =d+43=275+43= 318 miles.

8 0

3 years ago

Heather's age is 3 years more than half her cousin Rachel's age. If the difference in their ages is less than 4 years, what is t

Elan Coil [88]

6 years old that rachle is

5 0

4 years ago

HELP! How do translations relate to shapes plz explain

Vlada [557]

Answer:

well on the x and y coordinate graph the the translation is what moves the shape

6 0

3 years ago

(need some help!!) explain why the lowest possible domain value for a linear model of this data must begin at x = 6

ra1l [238]

Hello!

To first understand this question, we have to know what a domain is, and what it means to be linear.

The domain is all the possible x values.

Currently, in this graph, it starts at 0, and goes to some point further on.

To be linear means that you have linear growth, which this does not. This has a bend in it, which is not linear.

So, you must restrict the domain such that you only have a linear section.

If you look at the graph as a whole, it makes a bend. But, if you only look at x value 6 and up, it seems quite straight.

So, this makes sense!

Hope this helps, feel free to ask questions in comments.

-Jeron

7 0

2 years ago

A model rocket is launched directly upward at a speed of 50 meters per second from a height of 8 meters. The function f(t)=−4.9t

Gnoma [55]

Answer:

$t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36$

$t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158$

And since the time can't be negative we have that:

$t= 10.36 seconds$

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

Step-by-step explanation:

For this case we have the function of the height in terms of the time givenby:

$h(t) = -4.9t^2 +50 t+8$

And we want to known when the rockect hit the ground and for this case we need to solve the equation $h=0$

$-4.9t^2 +50 t+8 =0$

And as we can see we have a quadratic equation like this one:

$ax^2 +bx+c$

Where: $a =-4.9 , b =50 c =8$

And the general solutions are given by:

$x =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

If we replace the values that we have we got:

$t=\frac{-50 -\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= 10.36$

$t=\frac{-50 +\sqrt{(50)^2 -4(-4.9)(8)}}{2*(-4.9)}= -0.158$

And since the time can't be negative we have that:

$t= 10.36 seconds$

So the answer for this case would be after 10.36 seconds the rocket will hit the ground

6 0

4 years ago