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2 years ago

Solve for each inequality. 8 ≤ x - (-14) 31 ≥ b - (-18) -5 < n + (-1)

Mathematics

1 answer:

Gennadij [26K]2 years ago

5 0

Answer:

$8 \leqslant x - ( - 14) \\ 8 \leqslant x + 14 \\ 8 - 14 \leqslant x + 14 - 14 \\ - 6 \leqslant x \\ x \geqslant - 6$

___o__o__

$31 \geqslant b - ( - 18) \\ 31 \geqslant b + 18 \\ 31 - 18 \geqslant b + 18 - 18 \\ 13 \geqslant b \\ b \leqslant 13$

__o__o__

$- 5 < n + ( - 1) \\ - 5 < n - 1 \\ - 5 + 1 < n - 1 + 1 \\ \\ - 4 < n \\ n > - 4$

I hope I helped you^_^

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lisabon 2012 [21]

Hello! I would love to help!

9. Basically, it is asking us to multiply 5.2 by 46.

5.2*46=239.2

So, your answer is 239.2 inches.

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60-18=42

So Susan has 42 blocks left to run. Now, let's divide that by 2 since she can run 2 blocks per minute.

42/2=21

So, the answer is 21 minutes.

11. Let's set up an equation: We know that she will automatically pay $49.95 per month, plus $0.15 per additional minute. We also know her final total for the month was $61.20:

49.95+0.15m=61.20

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0.15m/0.15=11.25/0.15

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4 years ago

hena made a table to show the steps and algebraic properties used to write an equivalent expression for 3 x minus 5 + 7 x + 6. S

Tcecarenko [31]

Answer:

2. Shena should have written the associative property for step 2.

Step-by-step explanation:

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3 years ago

The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approxima

worty [1.4K]

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{14-15}{2}$

$z=\frac{-1}{2}$

$z=-0.5$

Similarly, we will find the z-score corresponding to 18.

$z=\frac{18-15}{2}$

$z=\frac{3}{2}$

$z=1.5$

Now we will find the probability of getting a z-score between $-0.5$ and $1.5$ that is $P(-0.5$ .

$P(-0.5$

Using normal distribution table, we will get:

$P(-0.5$

Let us convert $0.62465$ into percentage.

$0.62465\times 100\%=62.465\%\approx 62.5\%$

Therefore, approximately $62.5\%$ of the students are between 14 and 18 years old.

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3 years ago

Read 2 more answers

Please help asap, I'm so confused lol.

Sladkaya [172]

Answer: $450

Step-by-step explanation:

We can form an equation representing the problem. The question is essentially asking 60% of what is equal to $270. If we define that what as a variable 'x', we get the following:

$\frac{60}{100} *x=270$