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Svetradugi [14.3K]
3 years ago
7

Three fourths of a number is -27 . What is the number ?????

Mathematics
1 answer:
vekshin13 years ago
5 0

Answer: The answer is -36

Step-by-step explanation:

3/4 of -36 is -27

Let x be the number  

3/4 of x = -27

Means

(3/4)(x)= -27

3x/4= -27

Multiply by 4 both sides

 

(4)(3x/4)=(-27)(4)

Cancel out 4 from Right hand side and multiply 4 on left hand side

3x=-108

Divide by 3 both sides

3x/3=-108/3

Cancel out 3 from Right hand side

x=-36

Number is -36

Have a great day!

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Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D
Andrei [34K]

Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image)  are the following:

A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image)  that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

7 0
3 years ago
Read 2 more answers
When looking at a decimal number (ex. 6.349821477...) what are some of the characteristics that will help you identify if the nu
quester [9]

Answer:

To determine whether a decimal is rational or not, you need to know that...

Irrational numbers don't end and have no pattern whereas rational numbers are the complete opposite. Rational numbers end and have a repeating pattern.

Step-by-step explanation:

Here are examples of irrational numbers:

0.9384903204..... , π , √2

Examples of rational numbers:

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Hope this helps :)

5 0
2 years ago
Use the unit circle tan (3/4)
Mariana [72]

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Note that tangent function can be solved using the formula y/x

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This will be :

\frac{\sqrt[]{2}}{2}\div(-\frac{\sqrt[]{2}}{2})=-1

The answer is -1

5 0
1 year ago
When a positive number is multiplied by the sum of twice the number and half the number, the result is the original number. What
ValentinkaMS [17]
The number will be itself when multiplied by 1.

The sum of twice and half the original number is 1, so the number is
  2n +0.5n = 1
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The original number is 2/5.
5 0
3 years ago
Question 6
Tema [17]

Answer:

Actual volume = 40 cm^3.

Step-by-step explanation:

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Let the actual volume be x cm^3, then we have the equation:

x + 0.15x = 46

1.15x = 46

x   = 46 / 1.15  

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7 0
2 years ago
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