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Mama L [17]
3 years ago
8

3 questions 30 points

Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0

<u>Question 12</u>

The unknown number is: x

The question tells us that 8 fewer than a  number ( or x ) is at least 20.

The "8 fewer than a number" can also said like:   " a number minus 8 is ...)

So we know that the first part of the answer is: x - 8

For the second part, it tells us that the number minus 8  is at least 20. This can also be said like:  a number minus 8 is 20 or more (greater).

Since it is " 20 or more",  we use the  "greater than or equal to sign", which is: ≥

Answer:

Now that we know this we can say that the answer is;

x - 8 ≥ 20             (The second option)

-------------------------

<u>Question 13</u>

So the inequality we are given to solve is:   2 < 3x -1 ≤ 5

We want to get the "3x" by itself. We do this by adding 1 to both the 2, and the 5.   Adding a 1 cancels out the -1 in  "3x - 1"   ( -1 + 1 = 0)

Alright lets do this:

2 + 1 < 3x -1 + 1 ≤ 5 + 1   =  3 < 3x ≤ 6

This is not yet finished, since we have 3x, rather than just x.  To get just x, we divide all the sides by 3 - because 3x ÷ 3 = x :


3 ÷ 3 < 3x ÷ 3 ≤ 6 ÷ 3       =   1 < x ≤ 2          (<em>3 ÷ 3 = 1,   3x ÷ 3 = x,  and 6 ÷ 3 = 2)</em>

Answer:  1 < x ≤ 2      (The first option)

-------------------------

Question 15

The equation is:  [2x - 1] = 3

The [    ]  tells us that there are two possible answers. These are:

2x -1 = 3            or       2x -1 = -3     (negative 3)

First lets solve the one with positive three:

2x -1 = 3    ( add 1 to both sides to cancel out the -1)

2x = 4     (divide both sides by 2 to get just x)

1 < x ≤ 2

other answer with negative 3:

2x -1 = -3       ( add 1 to both sides)

2x = - 2          (  -3 + 1 = -2)

x = -1             (divide both sides by two)

Answer: So the answer is either:   x = -1   <u><em>or</em></u><em> </em><em>  </em>x = 2      (Option 2)

pantera1 [17]3 years ago
5 0
The inequality that represents the sentence is:
8-x>_20
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PLEASE HELP ME IN GEOMETRY!!!
puteri [66]

Answer:

7.20

Step-by-step explanation:

triangle is right triangle so other leg of first is 12

5 x 3/5 = 5, so

do 12 x 3/5 to get 7.20

7 0
3 years ago
why might you want to use the commutative property to change the order of the intergers in the following sum before adding? -80+
serious [3.7K]
-80+ (-20)+(-173)=-80-20-173=-100-173=-273


6 0
3 years ago
HELP ASAP plz, 45 pts
torisob [31]

Answer:

She didn't take the LCM, made an error while cross multiplying

x = -6

Step-by-step explanation:

a)she didn't take the LCM before cross multiplying.

Also, didn't cross multiply correctly

b) 1 -2/(x-2) = (x+1)/(x+2)

1 - 2/(x-2) = (x+2-1)/(x+2)

1 - 2/(x-2) = 1 - 1/(x+2)

1 - 2/(x-2) = 1 - 1/(x+2)

-2(x+2) = -1(x-2)

-2x-4 = -x+2

x = -6

8 0
3 years ago
Helpppppppppppppppppppppppppppppppppppp
FromTheMoon [43]
Ok so I’m thinking that s = 93 because first I multiply first sides of the equation by -4, which was s-61=32. Then I moved the constant to the right hand side and change its sign which will be s=32+61. After I did all of that I added the numbers together and got 93..... therefore s=93
8 0
2 years ago
An angle measures 14° more than the measure of its complementary angle. What is the measure of each angle?
Mars2501 [29]

Answer:Complementary angles are two angles whose degree measurements add up to 90 degrees. The first angle would be (x + 14.4) and its complementary angle would be x. Therefore, you would set up this problem as: x + (x + 14.4) = 902x + 14.4 = 902x = 75.6 x = 37.8  (one angle)And (x + 14.4) = 52.2 (other angle). 

To check: 37.8 + 52.2 = 90

Step-by-step explanation:

7 0
2 years ago
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