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Korolek [52]
3 years ago
14

find the smaller of 2 consecutive integers, x, if the sum of the smaller is 3 times the larger is -5. Write an equation and solv

e
Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

You have defined x to be the smaller of two consecutive integers. Then the larger will be (x+1). The given relation is

... (x) + 3(x+1) = -5 . . . . the smaller plus 3 times the larger is -5

... 4x + 3 = -5 . . . . . . . .simplify

... 4x = -8 . . . . . . . . . . subtract 3

... x = -2 . . . . . . . . . . . divide by the coefficient of x

The smaller of the two integers is -2.

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Describe the difference between the value of x in a binomial distribution and in a geometric distribution.
Ganezh [65]

Answer:

See below

Step-by-step explanation:

A binomial distribution has the value of x representing the number of successes in n​ trials, while a geometric distribution has the value of x representing the first trial that results in a success.

8 0
2 years ago
A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per cu
jonny [76]

Answer:

Option B- The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

Given :

The function c(x)=50+5x  represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.

The function p(x)=100-2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.

To find : (p⋅c)(2) mean about the horse-drawn carriage tour company.

Solution :

(p.c) means we multiply the p(x) and c(x)

(p.c)(x)=p(x)\times c(x)

(p.c)(x)=(100-2x)(50+5x)

(p.c)(x)=5000+500x-100x-10x^2

(p.c)(x)=5000+400x-10x^2

Substitute the value of x=2

(p.c)(2)=5000+400(2)-10(2)^2

(p.c)(2)=5000+800-10(4)

(p.c)(2)=5800-40

(p.c)(2)=5760

The horse-drawn carriage tour company can expect to take in $5760.

The function c(x)=50+5x  represents price charged per customer.

For x=2

c(x)=50+5(2)  

c(x)=50+10  

c(x)=60

The charge per customer is $60.

Therefore, Option B is correct.

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

3 0
3 years ago
Read 2 more answers
A triangle flower bed base 15ft. Height 9 ft. Area is how much.
il63 [147K]

Answer:

A=67.5ft²

Step-by-step explanation:

6 0
2 years ago
4x -2 + 5x + 6<br> What does this equAl
rusak2 [61]

Answer:

9x + 4

Step-by-step explanation:

Step 1: Write expression

4x - 2 + 5x + 6

Step 2: Combine like terms (x)

9x - 2 + 6

Step 3: Combine like terms (constants)

9x + 4

4 0
3 years ago
Read 2 more answers
Please helppp! 
Karolina [17]

(a) answer : a,d,e

(b) answer : b)22L=5.8gal

(c) answer : b)25ft/min

1.  Convert meters per second to kilometers per hour,  

1 kilometer = 1000 meters

1 meter = \frac{1}{1000}

1 hour = 60 minutes. it means \frac{60 minutes}{1 hour}

1 minute = 60 seconds. it means \frac{60 seconds}{1 minute}

so \frac{1}{1000} , \frac{60 minutes}{1 hour} and \frac{60 seconds}{1 minute}  are the conversion factors  used.

(2): Convert 22 Liters to gallons

1gal=3.8L

1 litre = \frac{1}{3.8} gallons

22 litre =  22* \frac{1}{3.8} gallons= 5.8 gallons

(3)Convert 5 inches per second to feet per minute.

We know 1 feet = 12 inches  and 1 minute = 60 seconds

1 inches per second = \frac{1}{12} * \frac{60}{1}= 5 feet per minute

5 inches per second  = 5 * 5 = 25 feet per minute








6 0
3 years ago
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