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gregori [183]
2 years ago
12

Translate the word sentence into an inequality. 2 less than a number is more than 8​

Mathematics
2 answers:
Gnom [1K]2 years ago
8 0

let number be x

x-2>8

Sergio [31]2 years ago
4 0

<u>Answer:</u>

x - 2 > 8

<u>Step-by-step explanation:</u>

We are given the following word sentence and we are to translate it into a mathematical inequality:

<em>'2 less than a number is more than 8​'</em>

Breaking down this word sentence into smaller parts to make it easier to translate.

1. 2 less than ---> - 2

2. a number ---> x (or it can be any other number)

3. is more than 8 ---> > 8

Combining all these to get:

x - 2 > 8

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Harper went into a movie theater and bought 10 bags of popcorn and 6 drinks,
Gnesinka [82]

Answer:

The price of a drink = $4

The price of a bag of popcorn = $5.5

Step-by-step explanation:

Let p represent popcorn and d represent drink

<u>Harper bought 10 bags of popcorn and 6 drinks and paid $79 ➡ 10p + 6d = $79</u>

<em>Damian bought 3 bags of popcorn and 5 drinks and paid $36.50 ➡ 3p + 5d = $36.50</em>

Now multiply first equation by -3 and second equation by 10

-3 × (10p + 6d) = $79 ➡ -30p - 18d = -$237

10 × (3p + 5d) = $36.50 ➡ 30p + 50d = $365

Now add the new equationd

30p + 50d -30p - 18d = $365 - $237 (-30p will eliminate 30p)

32d = $128 divide both sides of the equation by 32

32 ÷ 32d = 32 ÷ $128 ➡ d = 4

If d = 4 that means a drink costs $4 we can use this information to find the price of a bag of popcorn

3p + 5d = $36.50 (replace d with 4)

3p + 4×5 = $36.50

3p + 20 = $36.50

3p = $36.50 - 20

3p = 16.50 divide both sides by 3

p = $5.5

5 0
2 years ago
Jeremy has a deck of cards numbered 1-12. He picks one card and then replaces it. Then he picks another card. What is the probab
LiRa [457]
The answer is 8.3 percent
5 0
2 years ago
The orbital period, P, of a planet and the planet's distance from the sun, a, in astronomical units is related by the formula P
anygoal [31]

Answer:

a for saturn is 9.55 astronomical units

Step-by-step explanation:

Here, we are interested in calculating the distance from the sun.

Mathematically, from the question;

P = a^3/2

29.5 = a^3/2

a = 29.5^2/3

a = [3√(29.5)]^2

a = 9.55 in astronomical units

3 0
2 years ago
Read 2 more answers
Jo has a gerbil and a German shepherd. the shepherd eats 14 times as much food as the gerbil. altogether they eat 225 ounces of
maks197457 [2]
225÷16=14 14×16=224thats your answer
7 0
2 years ago
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In a circle, a chord of 50 cm bisects a chord of 40 cm. Find the length of the longer segment of the 50 cm chord.
Andreyy89

Answer:

<u>The length of the longer segment of the 50 cm chord = 40</u>

Step-by-step explanation:

let the length of the longer segment of the 50 cm chord = x

so, the other segment = 50 - x

A chord of 50 cm bisects a chord of 40 cm

using the Intersecting Chords Theorem

so, x(50-x) = 20 * 20

50x - x² = 400

x² - 50x + 400 = 0

(x - 40)(x - 10) = 0

x = 40 or x = 10

<u>So, the the length of the longer segment of the 50 cm chord = 40</u>

8 0
2 years ago
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