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Otrada [13]
3 years ago
9

Compare 9 X 10^4 to 3 X 10^2

Mathematics
1 answer:
swat323 years ago
7 0

Step-by-step explanation:

9 \times  {10}^{4}  = 900 \times  {10}^{2}  \\  \\ 3 \times  {10}^{2}  \\  \\  \because \: 900 > 3 \\   \purple{ \boxed{ \bold{\therefore \: 9 \times  {10}^{4}   >  3 \times  {10}^{2}}}}

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James bill at a restaurant
IrinaK [193]

Answer:

46.61

Step-by-step explanation:

18% of 39.50 = 7.11

39.50 + 7.11 = 46.61

3 0
3 years ago
Which inequality represents the value of x that ensures triangle abc exists?
olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: (2x+4)+6x>18

8x+4>18

8x>14

x>\dfrac{14}{8}

x>\dfrac{7}{4}      ...(1)

Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

\dfrac{11}{2}>x     ...(2)

Case III: 6x+18>2x+4

6x-2x>4-18

4x>-14

x>-\dfrac{14}{4}

x>-\dfrac{7}{2}     ...(3)

On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

3 0
3 years ago
Which number has a repeating decimal form?
blondinia [14]

Answer:

<em>D.</em><em> </em><em>\frac{2}{6}</em>

Step-by-step explanation:

<em>2</em><em>÷</em><em> </em><em>6</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>3</em><em>3</em><em>3</em><em>3</em><em>3</em>

<em>As </em><em>you </em><em>can</em><em> </em><em>see</em><em> </em><em>3</em><em> </em><em>is </em><em>repeating</em><em>.</em>

<em>Therefore</em><em> </em><em> </em><em>\frac{2}{6}</em><em> </em><em>as </em><em>repeating</em><em> </em><em>decimal</em><em> </em><em>form</em><em>.</em>

3 0
2 years ago
Manny can assemble a computer by himself in 50 minutes. Lucy does the same job in 45 minutes. How long will it take to assemble
jonny [76]
Manny can assemble a computer in 50 minutes. That means, in a minute Manny does \frac{1}{50} job.

Lucy can assemble a computer in 45 minutes. That means, in a minute Lucy does \frac{1}{45} job.

If they are working together, in a minute they will do:
\dfrac{1}{50} + \dfrac{1}{45}
= \dfrac{9}{450} + \dfrac{10}{450} \text{(equalize the denominator)}
=\dfrac{19}{450}
In a minute they will do \frac{19}{450} job

To finish the job they will do it in \frac{450}{19} minutes or about 24 minutes.
5 0
3 years ago
Graph and check to solve the linear system <br> x+y=3<br> -2x+y=-6
Alenkinab [10]

Answer:

-x - y = -3

-2x + y = -6

-3x = -9

x = 3

3 + y = 3

y = 0

(3,0)

6 0
2 years ago
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