Three consecutive integers have a sum of 114. what are the three integers

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

8 0

Let the smallest one be x, the second one is then x+1, the third one is x+2
x+(x+1)+(x+2)=114
3x+3=114
3x=111
x=37
the three consecutive integers are: 37,38,39

Mandarinka [93]3 years ago

7 0

Our three consecutive integers are 37, 38, and 39.

Work is provided in the image attached.

You might be interested in

Solve -3(5x-9) please

marissa [1.9K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev

Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : $\mu=12\text { cm}$

Standard deviation : $\sigma= 0.2\text{ cm}$

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

For Z score : $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$