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zubka84 [21]
3 years ago
13

Is -1 a solution to 4x - 3 < 5? (look at the picture)

Mathematics
1 answer:
inessss [21]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

Assuming that the question is asking for -1 to be plugged in as x

4(-1)-3≤5

-4-3≤5

-7≤5

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Rowan reads at a constant rate of 1.5 pages per minute and has already
saul85 [17]

Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

  • He has already read 20 pages, hence the y-intercept is b = 20.
  • He reads 1.5 pages per minute, hence the slope is a = 1.5

Then:

y_R = 1.5x + 20

For Kennedy, we have that:

  • He has already read 25 pages, hence the y-intercept is b = 25.
  • He reads 1 page per minute, hence the slope is a = 1

Then:

y_K = x + 25

They will have read the same number of pages after x minutes, for which:

y_R = y_K

Then:

1.5x + 20 = x + 25

0.5x = 5

x = \frac{5}{0.5}

x = 10

To learn more about linear function, you can take a look at brainly.com/question/25823744

3 0
3 years ago
150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn't answer w
alexandr1967 [171]

Answer:

The parents who didn't answer with either naughty and nice are <u>6</u>.

Step-by-step explanation:

Given:

150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.

Now, to find parents who didn't answer with either naughty and nice.

<em>So, as given in question:</em>

<em>70% said that their kids are naughty.</em>

<em>26% said that their kids are nice.</em>

So, to get the percentage of parents who didn't answer we subtract.

<em>Thus, the percentage of  parents who didn't answer with either naughty and nice:</em>

100% - (70% + 26%)

100% - 96% = 4%.

Hence, 4% of parents didn't answer.

Now, to get how many  parents didn't answer we calculate the percentage of the total who didn't answer:

<em>Total parents surveyed = 150.</em>

<em>Parents who didn't answer =  4% of the total parents surveyed.</em>

Parents\ who\ didn't\ answer = 4\% of 150.

Parents\ who\ didn't\ answer = \frac{4}{100}\times 150.

Parents\ who\ didn't\ answer = \frac{600}{100}.

Parents\ who\ didn't\ answer = 6.

Therefore, the parents who didn't answer with either naughty and nice are 6.

8 0
3 years ago
Suppose a and b are independent events. If l(a) =0.8 and p(b) =0.85 what is p(a and b)
nika2105 [10]

Answer: 0.68

Step-by-step explanation:

just took test and got it right

4 0
2 years ago
Javier is comparing two checking accounts. One has a monthly fee of $10 and a per-check fee of $0.10, and the other has a monthl
almond37 [142]
When Javier writes 40 on both accounts they cost him the same amount of money so it should be 41.

Javier needs to write 41 checks for the second bank to beat better

8 0
3 years ago
Read 2 more answers
Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance
Maslowich

A linear equation that represents the model is: x + 6 = 10; x = 4

<h3>How to solve linear equations?</h3>

Let us first define the variables based on the attached image of the ball balance:

Let x = number of balls that contains the square.

On the left side, we have; square + 6 balls

On the right side, we have; 10 balls

To balance this, we have;

x + 6 = 10

x = 10-6

x = 4

Thus, a linear equation that represents the model is:

x + 6 = 10; x = 4

Read more about Linear equations at; brainly.com/question/9406333

#SPJ1

3 0
2 years ago
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