Answer:
False, 6:4 and 18:8 are equal ratios.
Step-by-step explanation:
Given data:
6:4 ≠ 18:8
Explanation.
1. 6:4 = 6/4 = 3/2
2. 18:8= 18/8 = 9/4 = 3/2
Hence proved:
6:4 = 18:8
Answer:
Add 6 to both sides
Step-by-step explanation:
order of operations acronym- PEMDAS
P= parenthesis
E= exponents
M=multiply
D= Divide
A= Add
S= subtract
No parenthesis, exponents, multiply, or divide, so skip straight to add or subtract
Add comes first so add 6 to both sides
Add 6 to both sides.
Answer:
Step-by-step explanation:
9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)
-8.8 + 2.2(1.9x) = 0.66x - 2.64
-8.8 + 4.18x = 0.66x - 2.64
4.18x - 0.66x = 8.8 - 2.64
3.52x = 6.16
x = 1.75
10). 3.2(1 + 2.6x) = 2.4(x - 3.6)
3.2 + 8.32x = 2.4x - 8.64
8.32x - 2.4x = -3.2 - 8.64
5.92x = -11.84
x = 2
11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)
9.2x - 25.3 = 3.9 + 0.8 + 4.4x
9.2x - 25.3 = 4.7 + 4.4x
9.2x - 4.4x = 25.3 + 4.7
4.8x = 30
x = 6.25
12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)
0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10
0.6x - 4.4 = -2.2x + 15.90
0.6x + 2.2x = 15.90 + 4.4
2.8x = 20.30
x = 7.25
Answer:
a = 22
b = 7
Step-by-step explanation:
Let the two numbers be represented as a and b.
a + b = 29
a - b = 15
Using elimination method
Add both equations
2a = 44
Divide both sides by 2 to get a
2a/2 = 44/2
a = 22
Now substitute a = 22 in any of the equations to get b .
Using the first equation, we have
a + b = 29
22 + b = 29
Subtract 22 from both sides of the equation
22 - 22 + b = 29 - 22
b = 7
Therefore the two numbers are 22 and 7
When working with very large or very small numbers, scientists, mathematicians, and engineers use scientific notation to express these quantities. Scientific notation is a mathematical abbreviation, based on the idea that it is easier to read an exponent than to count many zeros in a number. Very large or very small numbers need less space when written in scientific notation because the position values are expressed as powers of 10. Calculations with long numbers are easier to do when using scientific notation
