Answer:
The number is 4
Step-by-step explanation:
<u>Choose a variable for the number.</u>
let the number be "x"
<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).
"When 8 is added to" 8 +
"3 times a certain number" 3x
"the result is the same as" =
"adding 12 to" 12 +
"twice the number" 2x
Put the equation back together with each of the parts.
8 + 3x = 12 + 2x
<u>Now isolate "x"</u> to the left side to find the number.
8 + 3x - 2x = 12 + 2x - 2x Subtract 2x from both sides
8 + x = 12 "x" is only on the left side
8 - 8 + x = 12 - 8 Subtract 8 from both sides
x = 4 Solved for the number
Therefore the number is 4.
Answer:
3x = 1.5x + 8.4
8.4/1.5=5.6
5.6 x 3 = 16.8
5.6 x 1.5 + 8.4 = 16.8
Step 1. Cancel out the -0.4 so you add 0.4 to both sides
Step 2. Divide 8.4 by 1.5 = 5.6
Step 3. Replace X with 5.6 and check if the equation is correct
5.6 is the answer
Step-by-step explanation:
Answer:
151,334.2263
Step-by-step explanation:
7.3 to the 6th power
Answer:
Step-by-step explanation:
(a)
perfect positive correlation.
As x increases by 1, y increases by 1
y is 1 times x
equation: y = x
(b)
perfect negative correlation.
As x increases by 1, y decreases by -4
y is 
times x
equation: y = -4x
Step-by-step explanation:
The equation of the line with a slope of 0 is y=c, where c is a constant.
As the line passesvthrough a pt with a y coordinate of 9, the equation is y=9.
