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faltersainse [42]
4 years ago
10

-4(1-x)+x<-(4-2x)+4 i need an interval notation answer on this please

Mathematics
1 answer:
alex41 [277]4 years ago
7 0

Answer:

x<4/3

<- - - - - - - - ○ -------------->

0 4/3

Step-by-step explanation:

and do you want a step by step

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Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. T
earnstyle [38]

Answer:

36 miles.

Step-by-step explanation:

We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.

\text{Distance}=\text{Speed}\times \text{Time}

Substitute the given values:

\text{Distance}=(\frac{4\text{ miles}}{\text{Hour}}+\frac{20\text{ miles}}{\text{Hour}})\times 3\text{ Hours}

\text{Distance}=(\frac{24\text{ miles}}{\text{Hour}})\times 3\text{ Hours}

\text{Distance}=24\text{ miles}\times 3

\text{Distance}=72\text{ miles}

The total distance is 72 miles, so the distance going up would be half of 72.

\frac{72}{2}=36

Therefore, Karina went 36 miles up the mountain.

4 0
3 years ago
Does 24, 7, and 26 form a right triangle
const2013 [10]

Answer:

No. It is an obtuse triangle.

Step-by-step explanation:

If c^2>a^2+b^2, then the triangle is obtuse. Since 24^2 + 7^2 is 625, and the square root of 625 is 25, that means 26>25. This proves that the triangle is obtuse.

4 0
3 years ago
In ΔMNO, \overline{MO}
marin [14]

Answer:

<h3>x = 12</h3>

Step-by-step explanation:

Given the triangle MNO which is extended through point O to point P, we are given the followings;

Interior angles;

∠MNO=(3x+11)

∠OMN=(2x+20)

Exterior angle;

∠NOP=(8x−5)

To find x, we will use the theorem, "The sum of the interior angles is equal to the exterior"

Hence;

3x+11+2x+20 = 8x - 5

5x + 31 = 8x - 5

Collect like terms;

5x - 8x = -5-31

-3x = -36

x = -36/-3

x = 12

Hence the value of x is 12

4 0
3 years ago
Read 2 more answers
Which of the following prefixes means 1,000?<br><br> Milli<br> Centi<br> Kilo<br> Deca
sesenic [268]
Kilo is the prefix for 1,000, hope i was helpful.
4 0
3 years ago
Read 2 more answers
Help me with this question
Law Incorporation [45]

greatest to least: 6.32, 6, 4.27, 4, 3.5 .

I got 4.27 by multiplying 4 x 11, adding three which makes it 47 and then divided it by 11

6 0
3 years ago
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