Answer: LAST OPTION.
Step-by-step explanation:
In order to solve for the variable "x" from the expression
, you need to follow these steps:
1) You need to multiply both sides of the equation by 3:

2) You need to multiply both sides of the equation by 6:
3) Finally, you can divide both sides of the equation by 15:

Answer: 2
Step-by-step explanation:
By the geometric mean theorem,

Step-by-step explanation:
expanded notation form. 10+3+0.6+0.05+0.002
expanded factor form. 1x10+3×1+6x0.1+5×0.01+2×.001
exponential form 1x10^1 + 3x10^0 + 6x10^-1 + 5x10^-2 + 2x10^-3
word form is thirteen and six hundred fifty-two thousandths
Answer:
<em>36%</em>
Step-by-step explanation:
"8 kg of mixed nuts containing 26% peanuts"
weight of peanuts: 26% * 8 kg = 0.26 * 8 kg = 2.08 kg
"5 kg ... that contain 52% peanuts"
weight of peanuts: 52% * 5 kg = 0.52 * 5 kg = 2.6 kg
Total weight of peanuts: 2.08 kg + 2.6 kg = 4.68 kg
Total weight of mixed nuts: 8 kg + 5 kg
percent of peanuts: (4.68 kg)/(13 kg) * 100% = 36%
First find the equation of the line:
y - b = m (X - a)
y - 5 = 2/3 (X + 2)
3y - 15 = 2 (X + 2)
3y - 15 = 2x + 4
3y = 2x + 19
Then sub the y-value of A into the equation to find X.
y = 3
3(3) = 2x + 19
9 = 2x + 19
2x = 10
X = 5
And sub the X-value of B into the equation to find y.
X = -2
3y = 2(-2) + 19
3y = -4 + 19
3y = 15
y = 5