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ValentinkaMS [17]
3 years ago
9

Solve the given inequality and graph the solution on a number line -x/2 + 3/2 + < 5/2 .

Mathematics
2 answers:
liq [111]3 years ago
5 0
Answers in Image attached

Hope this helps

irina [24]3 years ago
5 0
Well, in that case, here goes...

The first thing I'd do is clear the fractions- that is, I'd multiply each of them by 2 because 2 is the lowest common denominator. 

That leaves you with -x + 3 < 5
Now solving isn't too bad...

-x + 3 - 3 < 5 - 3                 (subtract 3 from both sides)
-x < 2

The x isn't alone! That - is hanging on...so multiply both sides by -1 to get rid of it! 

-x * -1 < 2 * -1          WAIT! We multiplied by a negative!!
-x * -1 > 2 * -1          Had to flip that inequality ofver!

x > -2


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Plz answer this!!! A triangle with sides 11 m , 13 m and 18 m is a right triangle. True or false
Nata [24]

Answer:

It depends on what sides equal which measurement. But it could be true.

6 0
3 years ago
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tent
AlexFokin [52]

Answer:

39.275

Step-by-step explanation:

the diameter of the semicircle is 10

A semicircle is half a circle, and a quarter circle is 1/4 of a circle.

Perimeter of a semicircle is ¶d/2

= 3.142 x 10/2 = 3.142 x 5 = 15.71

For 2 semicircles that will be 15.71 x 2 = 31.42

For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855

Total perimeter = 31.42 + 7.855 = 39.275

5 0
3 years ago
A sample value that lies very far away from the majority of the other sample values is _____.
Elan Coil [88]
The answer to the missing word on the statement in this problem is an outlier.An outlier is a value that lies outside most of the other values in a set of data. It also means it is much smaller or larger than most of the values in a set.For example, in this given score set {24,29,2,32,88,33,26,28}. The scores 2 and 88 are outliers.
4 0
3 years ago
Louisa’s savings change by -$6 each time she goes bowling. In all, it changed by -$66 during the summer. How many times did she
Sav [38]

Answer: She went 11 times during the summer.

Step-by-step explanation:

If Louisa's savings change by -6 each time she goes bowling and it went to -66, that means that Louisa went another 11 times.

\frac{1}{11}

So therefore your answer would be 11.

6 0
2 years ago
3x + ky = 8
sattari [20]

Answer:

(a): <u>x</u><u> </u><u>is</u><u> </u><u>3</u><u> </u><u>and</u><u> </u><u>ky</u><u> </u><u>is</u><u> </u><u>-</u><u>1</u>

<u>(</u><u>b</u><u>)</u><u>:</u><u> </u><u>k</u><u> </u><u>is</u><u> </u><u>-</u><u>2</u>

Step-by-step explanation:

Let: 3x + ky = 8 be <em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>(</em><em>a</em><em>)</em>

x - 2 ky = 5 be <em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>(</em><em>b</em><em>)</em>

<em> </em>Then multiply <em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>(</em><em>a</em><em>)</em><em> </em>by 2:

→ 6x + 2ky = 16, let it be <em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>(</em><em>c</em><em>)</em>

Then <em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>(</em><em>c</em><em>)</em><em> </em><em>+</em><em> </em><em>e</em><em>q</em><em>u</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>(</em><em>b</em><em>)</em><em>:</em>

<em>{ \sf{(6  + 1)x + (2 - 2)ky = (16  +  5)}} \\ { \sf{7x = 21}} \\ { \sf{x = 3}}</em>

<em>T</em><em>h</em><em>e</em><em>n</em><em> </em><em>k</em><em>y</em><em> </em><em>:</em>

{ \sf{2ky = 3 - 5}} \\ { \sf{ky =  - 1}}

{ \bf{y =  \frac{1}{2} }} \\ { \sf{ky =  - 1}} \\ { \sf{k =  - 2}}

4 0
3 years ago
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