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snow_lady [41]
3 years ago
12

24,26 and 28 please. Solve each inequality using the four operations.

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

I'll do problem 24 to get you started

-3a + 5 < -7

-3a + 5-5 < -7-5 ..... subtract 5 from both sides

-3a < -12

-3a/(-3) > -12/(-3) ... see note below

a > 4 is the answer

To graph this, we plot an open circle at 4 on the number line. Shade to the right of the open circle. The open circle tells the reader "do not include this value as part of the solution set".

note: in that step I divide both sides by -3 to fully isolate 'a'. Dividing both sides by a negative number will flip the inequality sign.

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Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5​
max2010maxim [7]

Answer:

See below:

Step-by-step explanation:

Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!

Simplification

To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.

\frac{19}{5}=3\frac{4}{5}=3.80

We know that \frac{1}{5} is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.

As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.

\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\  -0.5=-0.5

(Everything simplified to decimal form.)

We can now proceed to ordering them.

Ordering

Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.

Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.

So, now, in order from Greatest to Least. We can order them by what I said above.

3.80>1.62>-0.5>-4.666

We can convert the numbers back into their original form by looking at how we converted them in the Simplification section.

Final Answer

After converting them into a way that we can comprehend, we get our final answer in terms of greatest to least as:

\frac{19}{5}>1.62>-0.5>\frac{-14}{3}

Cheers!

6 0
2 years ago
Find the value of using identities 996^2
Svetlanka [38]

Answer:

992,016

Step-by-step explanation:

{996}^{2}  \\  =  {(1000 - 4)}^{2}  \\  =  {1000}^{2}  - 2 \times 1000 \times 4 +  {4}^{2}  \\  = 1000000 - 8000 + 16 \\  = 1000016 - 8000 \\  = 992,016 \\

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3 years ago
HELP ME FIND THE ANGLE<br><br><br><br><br> HELP ME FIND ANGLE A
romanna [79]

Answer:

32 degrees

Step-by-step explanation: So they tell you BE is congruent to BC so triangle BCE is isosceles. We know that angle C is 35 degrees and the triangle is isosceles so angle E is 35 degrees too. Now we do 180-(35+35) and that equals 110 so angle B is 110. And we know that angle EBC and FBA are supplementary angles so 180-110 is 70 degrees so angle FBA is 70 degrees and you can do the same thing with angle DFB and AFB so 180-102 degrees is 78 degrees and to find angle a you just do 180-(70+78) and that equals 32 degrees so angle A is 32 degrees. :)

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3 years ago
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