All categories

2 years ago

1. The difference of two numbers is 3, and the sum of three times the larger one and

Mathematics

1 answer:

vlada-n [284]2 years ago

5 0

Answer: 25 and 22

Step-by-step explanation:

Since one number is 3 bigger than the other, we can call them x, and x-3.

Then we know that the sum of 3 times x and 2 times (x-3) is equal to 19, so we can make the equation

3x+2(x-3)=19

Simplifying would get you

3x+2x-6=19

adding the x's and adding six to both sides of the equations gets you

5x = 25

divide by 5 and

x=5

Put those numbers back into your previous labels for them, x and x-3, and you get 5 and 2

Hope this helps

You might be interested in

Find the area to this

Vinvika [58]

Answer:

Step-by-step explanation:

6 0

2 years ago

Does anyone know this ? i'm stuck.. i'll give you brainliest and 15 points !! show work.

madam [21]

Answer:

x = 7

Step-by-step explanation:

The angle adjacent to the 70 degree angle is also 70 degrees. We assume that there are four 90-degree angles in the center of the figure. Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).

Solving 8x - 36 + 70 + 90 = 180 for x:

8x - 36 = 20, or 8x = 56.

Dividing both sides by 8 yields x = 7.

5 0

2 years ago

Solve. 12 students in the classroom and she wants to create a student to teacher ratio of three to one (three students per teach

Natasha2012 [34]

She will need a one to one ratio so to get to your ratio you need to take your 3 to 1 ratio and divide it by the 1 on 1 ratio

7 0

2 years ago

Tony gets paid $5 per hour to babysit his cousin. This

Kaylis [27]

Answer:

Step-by-step explanation:

lets substitute 5 into every equation. (using 5 every time won't work every time ofc)

ok so 5(x+6)=55 would simplify into 5x+30=55 which in this case would be 5(5)+30=55 

and 25 plus 30 (obviously) = 55

so A is the right answer

8 0

1 year ago

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of k success in n samples drawn from a population of size N which include K success. Every draw is either a success of failure.

The random variable X = number of meals that will exceed the cost covered by the company.

The random variable X follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

$P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}$

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

$P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637$

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0

2 years ago