So these are basically isolating the variables.
The first equation is 3g + 5 =17.
In order to isolate the variable, we would have to get g by itself, that means 5 would have to go. In order to do this, we would do the opposite. Since it is positive 5 we would add negative 5, in order for it to disappear. This works because a positive 5 and negative 5 cancel each other out. Whatever you do to one side of the equation you have to do to the other, since we subtract 5 on one side we have to subtract 5 on the other. Therefore we would do 17-5.
Now we have 3g=12
We know that 3g is basically 3 multiplied by g. The opposite of multiplication is division.Therefore we would divide by 3 on both sides.
The answer to the first question would be g= 4.
And if you want to check if your answer is correct you plug the value in.
So
3(4) + 5 =17
Answer:
$8.50
Step-by-step explanation:
multiply 0.50 by 11 to get 5.5 and then add the 3 dollars from the ice cream to get 8.5 - make sure to change 8.5 to $8.50
Answer:
222 = score in 2nd game
Step-by-step explanation:
Let x = score in 1st game
3/4(x) + 30 = score in 2nd game
x + 3/4(x) + 30 = 478 Multiply thru by 4 to eliminate the fraction
4x + 3x + 120 = 1912
7x + 120 = 1912
7x = 1792
x = 256
3/4(x) + 30 = 3/4(256) + 30
= 192 + 30
222 = score in 2nd game
Check: 222 + 256 = 478
Answer:
Zero
Step-by-step explanation:
<span>Using processing software (Excel) or even a decent scientific calculator. You input the values and generate the best fit cubic equation.
For number 1, the equation is
y = 8x10</span>⁻⁵ x³ - 0.0097 x² + 0.374 x + 1.083
where x is the number of years since 1900
y is the pounds cheese consumed
For number 2, the equation is
y = -3x10⁻⁵ x³ + 0.0028 x² + 0.2155 x + 1.7736
For number 3
P(-1) = 18
