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3 years ago

A factory can assemble 150 cars in 3 hours. At this rate, how many cars can be assemble in 8 hours?

2 answers:

8 0

Lets find the unit rate.

150/3 = x/1

150/3 = 50

Now that we know that a factory can assemble 50 cars per hour, we can multiply that by 8.

150*8 = 1200

Answer: 1200 cars in 8 hours

A fun fact, the assembly line helped factories make cars much faster! :)

Orlov [11]3 years ago

5 0

To find this out first we will see how many cars they assemble in 1 hour. Lets do it:-

150 / 3 = 50
50 cars per hr

50 * 8 = 400
400 cars in 8 hrs

CHECK OUR WORK;-

400 / 8 = 50
We were RIGHT!!

So, in 8 hrs the factory can assemble 400 cars.

Hope I helped ya!! xD

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Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15

RUDIKE [14]

Answer:

The vertex of this parabola, $(-2, 3)$ , can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

$g(x) = a\, (x - h)^2 + k$ ,

where $a$ , $h$ , and $k$ are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at $(h,\, k)$ .

The vertex form can be expanded to obtain:

$\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}$ .

Compare that expression with the given equation of this parabola. The constant term, the coefficient for $x$ , and the coefficient for $x^2$ should all match accordingly. That is:

$\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right.$ .

The first equation implies that $a$ is equal to $3$ . Hence, replace the " $a\!$ " in the second equation with $3\!$ to eliminate $\! a$ :

$(-2\times 3)\, h = 12$ .

$h = -2$ .

Similarly, replace the " $a$ " and the " $h$ " in the third equation with $3$ and $(-2)$ , respectively:

$3 \times (-2)^2 + k = 15$ .

$k = 3$ .

Therefore, $g(x) = 3\, x^2 + 12\, x + 15$ would be equivalent to $g(x) = 3\, (x - (-2))^2 + 3$ . The vertex of this parabola would thus be:

$\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}$ .

8 0

3 years ago

A 9V battery is attached to a hand generator. What prediction best explains what will happen and why?

insens350 [35]

A hand generator it most likely will provide power to perform wok more efficiently.

<h3>A hand generator and a 9v battery</h3>

Generally, A hand generator is a portable device that use energy to do work or increase efficiency of work done.

Therefore,if a 9v battery( a battery is defined as a source of electric power) is attached to a hand generator it most likely will provide power to perform wok more efficiently

For more information on work

brainly.com/question/756198

3 0

2 years ago

Scot wants to buy a scooter that cost $129 this is$24 more than 3 times what He saved last month how much he did save last month

Lostsunrise [7]

Total $129

129 - 24 = 105

105 / 3 = 35

Scot saves $35 last month

5 0

3 years ago

Read 2 more answers

Could someone help me please ? :)

Degger [83]

ANSWER = 17.5% of 360 = 63

EXPLANATION:

Find 10% of 360 = 36

Then 5% of 360 = 18

Then 2.5% of 360 = 9

Add them together

so 17.5% of 360 = 63

8 0

3 years ago

I swear when I actually need help nobody ever answers

Llana [10]

Answer:

stop asking questions and u wont have to worry abt that

Step-by-step explanation:

if u stop asking maybe u wont get an answer

8 0

3 years ago