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wel
3 years ago
9

Evaluate each expression. Name the property used in each step.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0

1. (1 / 5)5 * 14 = 14 because 1/5 multplied by 5 is equal to 1. I believe this is called reciprocals.

2. 6 + 4 (19 - 5) = 6 + 4(19) - 4(5) = 6 + 76 - 20 = 62. This is called the distributive property.

3. 5 (14 - 5) + 6 (3 + 7) = 5(14) - 5(5) + 6(3) + 6(7) = 70 - 25 + 18 + 42 = 105. We also used the distributive property in this question.

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For #1-8, solve the equation for the indicated variable:<br> Solve for x:<br> 1.<br><br> 3x + 2 = 8
Karo-lina-s [1.5K]

Steps to solve:

3x + 2 = 8

~Subtract 2 to both sides

3x = 6

~Divide 3 to both sides

x = 2

Best of Luck!

5 0
2 years ago
Two students walk in the same direction along a straight path, at a constant speed - one at .90 m/s and the other at 1.90 m/s.a.
anyanavicka [17]

Answer:

a)The second student arrive 7 minutes and 36 seconds sooner

b)They have to walk 598,51 m

Step-by-step explanation:

Speed= Distance/Time

We are looking for time now

Time = Distance/Speed

First student

Time = 780 m/0.90 m/s=866,66 seconds

Second student

Time = 780 m/1.90 m/s=410,52 seconds

Difference=866,66-410,52= 456,14 seconds

In minutes

Difference= 456,14 seconds /60=7 minutes 36 seconds

Distance=Speed x Time

Speed¹ x Time¹ =Speed² x Time²

Time¹= Time² + 5.50 min

5.50 min =350 seconds

Time²  =Speed¹ x Time¹ /Speed²

Time²  =Speed¹ x (Time² + 350 seconds  ) /Speed²

Time²  =0.9 x (Time² + 350 seconds  ) /1.9

Time²  =0,4737 x (Time² + 350 seconds  )

Time²  =0,4737 Time² + 165,79 seconds

Time²  - 0,4737 Time² = 165,79 seconds

0,5263 Time² = 165,79 seconds

Time² = 165,79 seconds/0,5263 =315,01 seconds

Distance=1,9 x 315,01 seconds = 598,51 m

5 0
3 years ago
Factor completely 2x2 − 6x − 36.
gavmur [86]
To factor out completely, we should have reached the most simplified form,
first we should take out 2.
2(x2 - 3x - 18)
then we should factor out the inside of the parenthesis,
2(x - 6)(x + 3)
And that's the most simplified and factored out form.

The final answer is then the second option, <span>2(x − 6)(x + 3)</span>
4 0
2 years ago
Please help me with this it’s is urgent
Irina-Kira [14]

Answer:

the nominator could be any number here

4 0
2 years ago
Read 2 more answers
Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.
N76 [4]

Answer:

59

Step-by-step explanation:

Because multiply 18.8 and 3.14 and get a number with a decimal so round up and get 59 :)

7 0
3 years ago
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