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SVETLANKA909090 [29]
3 years ago
8

PLEASE HELP!

Mathematics
1 answer:
denis-greek [22]3 years ago
5 0
<span>Multiplying or dividing both sides by a negative number changes the direction of aninequality. So we cannot multiply or divide both sides by a variable unless we know that the variable is either always positive or always negative. This is not a concern when solving equalities. :p</span>
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18. Use the spinner to find each theoretical probability
solong [7]

In the spinner there are eight numbers numbered from 1 to 8. To solve this problem, we must remember that probability is:

Probability = number of successful events / number of total events


a. P (even number). There are 4 even numbers, therefore the probability is:

P (even number) = 4 / 8

P (even number) = ½ = 0.5 = 50%

The probability of getting an even number is 50%.

 

b. P (a number greater than 3). There are 5 numbers greater than 3, therefore the probability is:

P (number greater than 3) = 5 / 8

P (number greater than 3) = 0.625 = 62.50%

The probability of getting a number greater than 3 is 50%.

 

c. P (an odd number). Similar to the even number, there are 4 odd numbers. Therefore,

The probability of getting an odd number is 50%.

4 0
3 years ago
Samantha was driving down a road and after 4 hours she had traveled 70 miles. At this speed, how many hours would it take Samant
Readme [11.4K]

Answer:

It would take Samantha 6 hours to drive 105 miles.

Step-by-step explanation:

This question can be solved by proportions.

After 4 hours she had traveled 70 miles.

This means that she travels 70/4 = 17.5 miles per hour.

How many hours would it take Samantha to drive 105 miles?

17.5 miles per hour, so for 105 miles:

105/17.5 = 6

It would take Samantha 6 hours to drive 105 miles.

3 0
3 years ago
A system of equations is graphed on the coordinate plane.
mamaluj [8]
No solutions jzksksalalaooaoaoaiaiaiakkskakakakakkaksoaoaoaokw
5 0
3 years ago
The width of a rectangle is the length minus 7 units. The area of the
AleksandrR [38]

Answer:

8 units

Step-by-step explanation:

<em>here's</em><em> your</em><em> solution</em>

<em>=</em><em>></em><em> </em><em>let </em><em>the </em><em>length</em><em> of</em><em> </em><em>rectangle</em><em> </em><em>be </em><em>X </em>

<em>=</em><em>></em><em> </em><em>then </em><em>width</em><em> </em><em>=</em><em> </em><em>x </em><em>-</em><em> </em><em>7</em>

<em>=</em><em>></em><em> </em><em>area </em><em>=</em><em> </em><em>8</em><em>u</em><em>n</em><em>i</em><em>t</em><em>s</em>

<em>=</em><em>></em><em>></em><em> </em><em>area </em><em>=</em><em> </em><em>length</em><em>*</em><em>width</em>

<em>=</em><em>></em><em> </em><em> </em><em>area</em><em> </em><em>=</em><em> </em><em>x </em><em>(</em><em>x-7)</em><em> </em><em>=</em><em> </em><em>8</em>

<em>=</em><em>></em><em> </em><em>x^</em><em>2</em><em> </em><em>-</em><em> </em><em>7</em><em> </em><em>=</em><em> </em><em>8</em>

<em>=</em><em>></em><em> </em><em>now,</em><em> </em><em>x^</em><em>2</em><em> </em><em>-</em><em> </em><em>7</em><em>x</em><em> </em><em>-</em><em> </em><em>8</em><em> </em><em>=</em><em> </em><em>0</em>

<em>=</em><em>></em><em> </em><em>factories</em><em> </em><em>the </em><em>above </em><em>equation </em><em>by </em><em>middle</em><em> term</em><em> split</em>

<em>=</em><em>></em><em> </em><em>x^</em><em>2</em><em> </em><em>-</em><em> </em><em>7</em><em>x</em><em> </em><em>-</em><em> </em><em>8</em>

<em>=</em><em>></em><em> </em><em> </em><em>x^</em><em>2</em><em> </em><em>-</em><em> </em><em>8</em><em>x</em><em> </em><em>+</em><em> </em><em>x </em><em>-</em><em> </em><em>8</em><em> </em>

<em>=</em><em>></em><em> </em><em>take </em><em>the </em><em>common</em>

<em>=</em><em>></em><em> </em><em>x(</em><em>x </em><em>-</em><em> </em><em>8</em><em>)</em><em> </em><em>+</em><em> </em><em>1</em><em>(</em><em>x </em><em>-</em><em> </em><em>8</em><em>)</em>

<em>=</em><em>></em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>(</em><em>x </em><em>-</em><em> </em><em>8</em><em>)</em>

<em>neglect</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em>because </em><em>this</em><em> </em><em>will </em><em>in </em><em>negative</em><em> </em><em>for </em><em>X</em>

<em>=</em><em>></em><em> </em><em>x </em><em>-</em><em> </em><em>8</em><em> </em><em>=</em><em> </em><em>0</em>

<em>=</em><em>></em><em> </em><em>x </em><em>=</em><em> </em><em>8</em>

<em> </em><em>=</em><em>></em><em>so,</em><em> </em><em>x </em><em>=</em><em> </em><em>8</em><em> </em>

<em> </em><em>=</em><em>></em><em>length</em><em> </em><em>=</em><em> </em><em>8</em><em> </em><em>units</em>

3 0
3 years ago
Suppose it was -8 degrees Celsius at 6:00 am , by noon , the temperature had increased by 12 degrees . What was the temperature
pantera1 [17]

Answer:

4

Step-by-step explanation:

-8 + 12 = 4 degrees

7 0
3 years ago
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