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3 years ago

Translate the sentence into an equation.

Mathematics

2 answers:

baherus [9]3 years ago

5 0

It might be either 4x+8x=6 or it could be 8x+4x=6

Tanya [424]3 years ago

4 0

The number is 'x'
sum of a number times 4 and 8 (4x+8)
is equal to (=)
6 (6)

4x+8=6
minus 8 both sides
4x=-2
divide 4
x=-1/2

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sp2606 [1]

Answer:

The acceleration is 1.0416 m/ $s^{2}$

Step-by-step explanation:

In order to solve this problem we first need to know the formula for acceleration which is the following.

$acceleration = \frac{final.velocity - initial.velocity}{final.time - initial.time}$

Since the time acceleration is calculated as $m/s^{2}$ we need to convert the km/h into m/s. Since 1km = 1000m and 1 hour = 3600 seconds, then

$\frac{20*1000 }{3600s} = \frac{20,000m}{3600s} = \frac{20m}{3.6s}$

**Dividing numerator and denominator by 1000 to simplify**

$\frac{65*1000 }{3600s} = \frac{65,000m}{3600s} = \frac{65m}{3.6s}$

**Dividing numerator and denominator by 1000 to simplify**

Now we can plug in the values into the acceleration formula to calculate the acceleration.

$acceleration = \frac{\frac{65m}{3.6s}-\frac{20m}{3.6s} }{12s-0s}$

$acceleration = \frac{\frac{45m}{3.6s}}{12s}$

$acceleration = \frac{\frac{12.5m}{s}}{12s}$

$acceleration = \frac{\frac{1.0416m}{s}}{s}$

Finally we can see that the acceleration is 1.0416 m/ $s^{2}$

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3 years ago