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zimovet [89]
3 years ago
14

Find the student’s error in solving the following inequality. 31 < –5x + 6 25 < –5x –5 < x

Mathematics
1 answer:
zaharov [31]3 years ago
7 0

Answer:

He subtracted -5 from both sides, not -6

Step-by-step explanation:

The inequality that we have to solve in this problem is

31

To solve the inequality, we proceed as follows:

1)

First, we isolate the term in x. To do that, we add -6 on both sides of the inequality, and we find:

31-6

So, this is now the new inequality.

2)

Then, we divide both sides of the equation by 5; we get:

\frac{25}{5}

3)

Finally, we change sign to the inequality, so we get:

x

So, the student's error is that he subtracted -5 from both sides, not -6.

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The probability that Caroline wins a raffle is given by the expression
RSB [31]

Answer:  \frac{n-m}{n}

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\

and now the expression is one single fraction.

8 0
3 years ago
A rectangular filed is 190m by 270m . A rectangular barn is 23 m by 40 m is built in the field .
Anika [276]

Answer: 50,380m

Step-by-step explanation:

190m * 270m = 51,300m

23m * 40m = 920m

Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with

51,300m - 920m = 50,380m

4 0
3 years ago
A box of a dozen fruit tarts costs$15.00. What is the cost of one fruit tart
hammer [34]
Cost:amount
15/12 
$1.25 for a fruit tart
4 0
3 years ago
Read 2 more answers
What is the 52nd term in the sequence? 9, 12.5, 16, 19.5, 23, . .
kondor19780726 [428]
3.5 multiplied by 52 would be 182, and that is the 52nd term in that sequence. 
5 0
3 years ago
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Peter has a coupon for 15% off the price of any item in a sporting good store he wants to buy a pair of sneakers that are priced
aniked [119]

Answer:

$31.44

Step-by-step explanation:

According to the word problem, Peter has a coupon for 15% OFF.

This means the price will reduce by 15%.

To solve this, first, change the percentage (15%) to decimal form.

To do this, divide the percentage by 100.

15 / 100 = 0.15.

0.15 is the decimal form of 15%.

Next, multiply the decimal form of the percentage by the price.

36.99 x 0.15 = 5.5485

Lastly, subtract the product from the original price.

36.99 - 5.5485 = 31.4415

In this case, the product goes above the hundredths place.

So we must round 31.4415 to the hundredths place.

31.4415 ≈ 31.44

Therefore, the sneakers are $31.44 after the discount of 15%.

7 0
3 years ago
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