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viva [34]
3 years ago
14

Will the difference of two rational numbers be always rational

Mathematics
1 answer:
spayn [35]3 years ago
7 0

Since ad, bc, and bd are integers since integers are closed under the operation of multiplication and ad-bc is an integer since integers are closed under the operation of subtraction, then (ad-bc)/bd is a rational number since it is in the form of 1 integer divided by another and the denominator is not eqaul to 0

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What is 5x(23x2)<41 please i need the answer
pashok25 [27]

Answer:

x < 41/230

Step-by-step explanation:

5x x 46 < 41

230x < 41

4 0
3 years ago
The length of the base of a rectangular prism is 9
Tatiana [17]

Answer:

The volume of the prism is <u>320 15/16 inches³</u>.

Step-by-step explanation:

Given:

The length of the base of a rectangular prism is 9 7/8.

The width of the prism is 8 1/8.

And the height is 4 inches.

Now, to find the volume of the prism.

(Length) <em> l = 9 7/8 = 79/8 inches.</em>

(Width)  <em> w = 8 1/8 = 65/8 inches</em>.

(Height)  <em>h = 4 inches</em>.

So, by putting the formula to get the volume:

Volume = w×h×l.

Volume=\frac{65}{8}\times 4\times \frac{79}{8}

Volume=320\frac{15}{16}

<em>Volume = 320 15/16 inches³.</em>

Therefore, the volume of the prism is 320 15/16 inches³.

7 0
3 years ago
WILL MARK BRAINLIEST !!!
Finger [1]

Answer:

2:5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Select the decimal that is equivalent to 13/75
leva [86]

I am not sure if you have any choices. Here are some options:

0.17333333333

This is also notated by .1733 with a line over the top of the two 3's indicating that these number continue repeating.

Other choices depending on your instructions...

.173 (if rounded to thousanths)

.17 (if rounded to hundreths)

.2 (if rounded to tenths)

4 0
3 years ago
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A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t
Angelina_Jolie [31]

Answer:

<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

40x -10x \leq 9,800

Where x represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

30x\leq 9,800

Solving for x

x\leq \frac{9800}{30}\\ x \leq 326.67

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

7 0
3 years ago
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