All categories

2 years ago

An inequality represents an infinite amount of numbers smaller than 8. Which inequality represents the situation?

2 answers:

8 0

X < 8

what this question is saying is that a number, x, can be anything, as long as it is smaller than 8.

x < 8 represents that this sentence. X could be 7, it could be -1, it could be anything smaller than 8, but it could not be 8 or anything greater than 8.

egoroff_w [7]2 years ago

4 0

Answer:

Step-by-step explanation:

did the test!

You might be interested in

Evaluate the series 4-2+1-0.5+0.25 to s10. Round to the nearest tenth.

andrew11 [14]

6god is watching from views

7 0

3 years ago

Read 2 more answers

Andres was cutting some boards to build a bookshelf. He has a piece of wood that is 10 3/4 feet long. He wants to cut a piece th

ozzi

Answer:

8 and 1/4

Step-by-step explanation:

10 3/4 - 2 1/2

3/4 - 1/2 = 1/4

10 - 2 = 8

3 0

2 years ago

Help asap!! need help alot!!

Neko [114]

Second answer: f - 52 = 63.

8 0

2 years ago

Find the complete factorization of the expression. 12xy + 28xz A) 4yz(10x) B) 4yz(3x + 7x) C) 4x(3y + 7z) D) 4(3xy + 7yz)

VashaNatasha [74]

Answer:

<em>The correct option is: C) 4x(3y + 7z)</em>

Step-by-step explanation:

Given expression is: $12xy+28xz$

First we need to find the GCF(Greatest common factor) of $12xy$ and $28xz$ and then we will factor out that GCF.

$12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z$

We can see that the common factors are: $2,2, x$

So, the GCF will be: $2\times 2\times x= 4x$

Now factoring out $4x$ from the given expression, we will get.....

$12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)$

So, the complete factorization will be: $4x(3y+7z)$

7 0

2 years ago

A survey of 100 people asked if they have a dog or a cat. The answers were: 56 people answered yes for dog and 51 people answere

den301095 [7]

Answer: The maximum number of people who could answer yes for both cat and dog is 7.

Step-by-step explanation: Given that a survey of 100 people asked if they have a dog or a cat.

Out of those 100 people, 56 people answered yes for dog and 51 people answered yes for cat. Some people may own neither and some people may own both animals.

We are to find the maximum number of people that could answer yes for both cat and dog.

Let A and B represents the set of people that answered Yes for dog and Yes for cat respectively.

Then, according to the given information, we have

$n(A)=56,~~n(B)=51.$

From Set Theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)\\\\\Rightarrow n(A\cup B)=56+51-n(A\cap B)\\\\\Rightarrow n(A\cup B)=107-n(A\cap B)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the total number of people is 100, so we get

$n(A\cup B)\geq 100.$

Therefore, from equation (i), we get

$107-n(A\cap B)\geq 100\\\\\Rightarrow n(A\cap B)\leq 107-100\\\\\Rightarrow n(A\cap B)\leq 7.$

Thus, the maximum number of people who could answer yes for both cat and dog is 7.

4 0

2 years ago

Read 2 more answers