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lys-0071 [83]
2 years ago
6

Which graph represents the solution8 - 3x ≥ -4​

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
6 0

Answer:

3rd option

Step-by-step explanation:

8 - 3x ≥ - 4 ( subtract 8 from both sides )

- 3x ≥ - 12

divide both sides by - 3 , reversing the symbol as a result of dividing by a negative quantity.

x ≤ 4

since ≤ the circle on number line is solid ( not open )

since less than 4 then arrow points left away from 4

the solution is shown on the third graph

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the units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than the ori
Anton [14]

Answer:

36

Step-by-step explanation:

Here is the correct and complete question: The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?

Lets assume the original number be"10y+x". (x is unit digit and y is 10th digit)

∴ if number is reversed then resulting number be "10x+y".

As given: x= 2y

        and 10x+y= 2(10y+x)-9

Now, solving the equation to get original number.

10x+y= 2(10y+x)-9

Distributing 2 to 10y and x, then opening the parenthesis.

⇒ 10x+y= 20y+2x-9

subtracting by (2x+y) on both side.

⇒ 8x= 19y-9

subtituting the value of "x", which is equal to 2y.

∴ 8\times 2y= 19y-9

⇒ 16y=19y-9

subtracting both side by (16y-9)

⇒ 3y= 9

cross multiplying

We get, y= 3

y=3

∵x= 2y

x=2\times 3= 6

∴ x= 6

Therefore, the original number will be 36 as x is the unit number and y as tenth number.

6 0
4 years ago
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USPshnik [31]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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URGENT!! 100 POINTS, BRAINLIEST AS WELL
Olenka [21]

Answer:

C

Step-by-step explanation:

Notice that there is a little triangle formed by the lines on the right side of the diagram.

Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.

Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.

Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:

2x - 23 = 84 + 43

Now we just solve for x:

2x - 23 = 84 + 43 = 127

2x = 127 + 23 = 150

x = 150/2 = 75 degrees

The answer is 75 degrees, or C.

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3 years ago
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Evaluate the expression 6/5x when x=20
Sindrei [870]

Answer:

24

Step-by-step explanation:

6 divided by 5 times 20 =24

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Answer:

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