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Goryan [66]
3 years ago
12

when 8 is subtracted from a certain number and the result is multiplied by 3 and the answer is 21 what is the original number

Mathematics
1 answer:
Maksim231197 [3]3 years ago
8 0

Step-by-step explanation:

The Real Answer Is 63

Maybe Positive Or Negative

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What is the equation in point slope form of the line that passes through the points (-3,5) and (2,-3)?
SOVA2 [1]

Answer:

y - (-3) = -8/5 (x - 2)

Step-by-step explanation:

-3 -5 = -8

2 - (-3) = 5

slope = -8/5

y - (-3) = -8/5 (x - 2)


3 0
3 years ago
In an article about the cost of health care, USA Today reported that a visit to a hospital emergency room has a mean cost of $14
Misha Larkins [42]

Answer: 0.8461

Step-by-step explanation:

Given : \mu=144\ \ ; \sigma=392

Let x be the random variable that represents the cost for the hospital emergency room visit.

We assume that cost for the hospital emergency room visit is normally distributed .

z-score for x=1000 ,

z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]

Using z-value table , we have

P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642

=0.8461358≈0.8461  [Rounded nearest 4 decimal places]

Hence, the probability that the cost will be more than $1000 = 0.8461

3 0
3 years ago
Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.
vredina [299]

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

7 0
3 years ago
Look at this I really need help with this
Anettt [7]

y = 7500 {(.97)}^{0}  \\  = 7500(1) \\  = 7500
D
6 0
3 years ago
Factorization of:
zubka84 [21]

Answer:

Step-by-step explanation:

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75: 3 * 5 * 5

168: 2 * 2* 2 * 3 * 7

It's not really multiplication. It's more division.

Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2

2800/2 = 1400

1400 / 2 = 700

700 / 2 = 350

350 / 2 = 175. That's the end of what the 2s can do.

175 / 5 = 35

35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75 is not an even number. It has no 2s. Go to 3

75 / 3 = 25.

25 / 5 = 5

That's the end

75: 3 * 5 * 5

Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.

3 0
3 years ago
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