Answer:
x = 6/11
Step-by-step explanation:
2(-3x + 4 ) = 5x + 2
-6x + 8 = 5x + 2
- 2 - 2
-6x + 6 = 5x
+6x +6x
6 = 11x
/11 /11
6/11 = x
Answer:
2375^-3
Step-by-step explanation:
Move the decimal place from 2.375 to the back of the number so it should look like this, 2375.
Than move the decimal place back to its original spot and count the amount of spaces you move. Remember, if you move forward, your exponent should be negative. For example, if the problem is 6.321, you would move the decimal place to the back like this, 6321. And then move it back to where it originally was, 6.321, the amount of spaces I moved was 3 spaces and I moved forward so It would be 6.321^-3
Answer:
P = 1.5x.
Step-by-step explanation:
Let the length of each side of the first triangle be x, then
Perimeter of this triangle
= 2x + 1.5x
= 3.5x.
So perimeter of smaller triangle is:
P = 1/2 * 3.5x
P = 1,.5x.
The first option is correct. For the following question, the simplified expression for the volume is 8x3 + 14x2 + 3x.
Answer:
0.077
Step-by-step explanation:
From the table :
Number of students aged 31 - 35 = 60
Number of students over 35 = 26
Total number of students = total possible outcomes = 1123
Required outcome = (students aged 31 - 35) + over 35 = 60 + 26 = 86
Probability = required outcome / Total possible outcomes
Probability (at least 31) = 86 / 1123 = 0.0765
= 0.077 (3 decimal places)