Answer:
12 cm
Step-by-step explanation:
This is a proportionality/similarity problem.
10 cm turned to 4 cm. So by how much has it decreased? In other words, <em>10 multiplied by </em><em>WHAT</em><em> is 4?</em>
0.4 is also known as the scale factor from the large diagram to the small diagram.
So how much would 30 cm become?<em> It would be 30 multiplied by the scale factor, which is </em><em>0.4</em><em>.</em>
<u>Hence, the length of the reduced diagram would be </u><u>12 cm</u><u>.</u>
-84 > -6(2 - 3b)
<em><u>Distributive property.</u></em>
-84 > -12 + 18b
<em><u>Add 12 to both sides.</u></em>
-72 > 18b
<em><u>Divide both sides by 18.</u></em>
-4 > b
The value of b is less than -4
Answer:
Step-by-step explanation:
Multiply 1/9 and 27 to get 27/9 which reduces to 3. When doing these equations, you add up the exponents. To get 3, you would have to have 3^1. The get this, the only equation that would work is 3^-2 x 3^3
-2+3 gets 1. So 3^1 which gets you 3. So this is the answer.
8x + 4 = 5x - 11
Subtract 5x from both sides:
3x + 4 = -11
Subtract 4 from both sides:
3x = -15
Divide both sides by 3:
x = -5
Answer : x = -5
