3 years ago

The difference of the squares of two consecutive integers is 21. find the integers.

1 answer:

4 0

Let the two integers be x and x+1
(x+1)^2-x^2=21
x^2+2x+1-x^2=21
2x+1=21
2x=20
x=10
then x=10, x+1
10+1=11
the two integers are 10, 11

You might be interested in

PLEASE HELP TIMEDD

loris [4]

Correct answer: A) A = the card is red, B = the card is black

Because mutually exclusive means "cannot occur simultaneously."
The other choices all can occur together.

7 0

3 years ago

The weight of strawberries follows a normal distribution with a mean weight of 12 grams and a standard deviation of 2.5 grams. I

Viefleur [7K]

This is a problem of Standard Normal distribution.

We have mean= 12 grams
Standard Deviation = 2.5 grams

First we convert 8.5 to z score. 8.5 converted to z score for given mean and standard deviation will be:

$z= \frac{8.5-12}{2.5} =-1.4$

So, from standard normal table we need to find the probability of z score to be less than -1.4. The probability comes out to be 0.0808

Thus, the <span>probability that the strawberry weighs less than 8.5 grams is 0.0808</span>

6 0

3 years ago

Pairs of expressions are given. Select the pairs that are equivalent .

mafiozo [28]

Answer:

All the options are correct

4 0

3 years ago

Each child at a birthday party was given $5 to spend at the arcade on games and rides. Each game costs $0.25 and each ride costs

Dmitrij [34]

No it is not possible to play 12 games and go on 6 rides

7 0