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4 years ago

9 + 3 in parentheses divided by 6 * 2 to the 3rd power

Mathematics

1 answer:

Ksivusya [100]4 years ago

8 0

Answer: 1

Step-by-step explanation:

Do this step by step. 9+3 = 12.

Then divide by 6*2, which is 12.

12/12 = 1.

Put 1 to the 3rd power to get 1.

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Yo save a step you can just find the percent of 25 that you have to pay if 20% was taken off the regular price. What percent of

Anton [14]

Answer:

I have to pay 20% of the regular price.

Step-by-step explanation:

Let the regular price of the item is $x.

Now, I have to pay 25%, if the regular price of the item was 20% taken off the regular price.

So, the price of the item after the 20% price is taken off the regular price is $x(1 - \frac{20}{100}) = 0.8x$ .

So, I have to pay 25% of that price, i.e. $0.8x \times \frac{25}{100} = 0.2x$

Now, if I have to pay y% of the regular price, then

$x \times \frac{y}{100} = 0.2x$ (Given)

⇒ y = 20%

Therefore, I have to pay 20% of the regular price. (Answer)

7 0

4 years ago

Traveling math word problem - thank you! :)

Anni [7]

We are given:

car and train leave at the same time

average velocity of car = 50 miles/hour

average velocity of train = 70 miles/hour

train arrives 2 hours early

Assuming variables and making equations!

let the time taken by the train = t hours

since the car arrived late, it took more time as compared to the train

time taken by the car = t + 2 hours

since the distance from Pasadena to Sacramento doesn't change, both the vehicles covered the same distance, d

Distance travelled by the car:

d = 50 $\frac{miles}{hour}$ * (t+2) hours [distance = velocity * time]

d = 50(t+2) miles

rewriting in terms of t

$t = \frac{d-100}{50}$

Distance travelled by the train:

d = 70 $\frac{miles}{hour}$ * t hours

d = 70t miles

rewriting in terms of t

$t = \frac{d}{70}$

now we have two expressions for t, both of which are equal because t is just the time taken by the train

Finding the distance:

$t = \frac{d-100}{50}$

$t = \frac{d}{70}$

because t is the same:

$\frac{d-100}{50} = \frac{d}{70}$

$\frac{d-100}{5} = \frac{d}{7}$

7(d - 100) = 5(d)

7d - 700 = 5d

(7d - 5d) - 700 = 0 [subtracting 5d from both sides]

2d = 700 [adding 700 on both sides]

d = 350 miles [dividing both sides by 2]

The distance between Pasadena and Sacramento is 350 miles!

7 0

3 years ago

Can anyone help me with number 36? I’m trying to figure out how to do this am I’m having a lot of problems. The answer is in the

zubka84 [21]

You have 9i in the denominator. The goal is to have a real denominator. 9i is imaginary. i * i = -1 which is real. If you multiply the denominator by i, the denominator will be real. Since this is a fraction, we multiply the numerator and denominator by i.

$\dfrac{-6 - 10i} {9i } \times \dfrac{i}{i} =$