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ExtremeBDS [4]
3 years ago
8

For each question, choose Yes or No to tell if the expressions are equivalent. Show all work and steps.

Mathematics
1 answer:
goldenfox [79]3 years ago
3 0

Answer:

1.) Yes

2.)No

3.)Yes

4.)No

Step-by-step explanation:

1.) 12.5 - 8.4 = 4.1

4.1 x 7.4 = 30.34

7.4 x 4.1 = 30.34

2.)24 - 1.6 = 22.4

22.4 / 3.2 =7

6.4 / 3.2 = 2

7 does not equal 2

3.) 7.4 + 12.5 = 19.9

19.9 - 8.4 = 11.5

7.4 + 4.1 = 11.5

11.5 = 11.5

4.)8 x 2.5 = 20

20 - 3.2 = 16.8

20 + 4.1 = 24.1

24.1 does not equal 16.8

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Find x, y and ab and how to check if the answer is right ​
iris [78.8K]

Answer:

  x = 2, y = -2, AB = 142

Step-by-step explanation:

The fact that X is the midpoint gives you two relations:

  AX = XB

  AX + XB = AB

Since you have two unknowns, this number of equations is sufficient to find their values. Substituting the given expressions in the above equations, you have ...

  • 8(3x+5) -3(y-7) -22x = 5x +y +23 -4(x-12)
  • 8(3x+5) -3(y-7) -22x + 5x +y +23 -4(x-12) = 2x -5y +128

Simplifying the first of these can make simplifying the second one easier.

  24x +40 -3y +21 -22x = 5x +y +23 -4x +48

  2x -3y +61 = x +y +71 . . . . . . we can use this simplification

  x -4y = 10 . . . . . . . . . . . . . . . . subtract x+y+61

Now, we can simplify the second equation to ...

  2x -3y +61 +x +y +71 = 2x -5y +128

  3x -2y +132 = 2x -5y +128 . . . . . simplify the left side

  x +3y = -4 . . . . . . . . . . . . . . . add -2x+5y-132

Then the two equations we need to solve are ...

  • x -4y = 10
  • x +3y = -4

Subtracting the second from the first, we get

  -7y = 14

  y = -2

Substituting into the first of these simplified equations, we get

  x -4(-2) = 10 . . . . substitute for y

  x +8 = 10 . . . . . . .evaluate

  x = 2 . . . . . . . . . .subtract 8

So, the solution is (x, y) = (2, -2).

Now, the values of AX and XB are ...

  AX = 2x -3y +61 = 2·2 -3(-2) +61 = 71

  XB = x+y+71 = 2 +(-2) +71 = 71 . . . . . . . . matches AX, a good sign

  AB = 2x -5y +128 = 2·2 -5(-2) +128 = 142 . . . . = AX+XB, another good sign

The desired values are x = 2, y = -2, AB = 142.

_____

You check the answer by filling the values into the expressions given in the problem statement and seeing if you get consistent results. Here, we used the simplified expressions, rather than the original expressions, so if we did the simplification wrong, we may have the wrong answer. It is always best to use the original equations. (A machine solver working with the original equations confirms our result, so "confidence is high.")

4 0
3 years ago
I need the answer help<br>​
lisov135 [29]

Answer:

the second one(20)

Step-by-step explanation:

If you pretend 20 is x, you solve the equation by pluging in x (20) into the equation and it gives you 70, 70 is what the big part is and 70+20 is 90, which is the size of a 90degree side.

4(20)-10

80-10

70

70+20=90

3 0
2 years ago
Read 2 more answers
If 5% of the total ticket is $125 what is the value of the total ticket sales
andriy [413]
If you would like to know what is the value of the total ticket sales, you can calculate this using the following steps:

$x ... the value of the total ticket sales

5% of $x is $125
5/100 * x = 125     /*100/5
x = 125 * 100 / 5
x = $2500

Result: The value of the total ticket sales is $2500.
6 0
3 years ago
Read 2 more answers
Mr. Matthews increased the amount of weight he lifted each morning from 80 to 90 pounds. By what percentage did Mr. Matthews inc
zepelin [54]
10%

This is because mr Matthews added only 10% to the 80 pounds
3 0
2 years ago
Read 2 more answers
Find the sum: −3/4 and 5 /8
Fynjy0 [20]

Answer: -0.125

Explanation: −3/4 + 5/8 = -0.125

Hope this helps

5 0
3 years ago
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