Answer:
-¼x + y = -2
Step-by-step explanation:
First, convert to Slope-Intercept Form by moving "1" to the other side of the equivalence symbol to get <em>y</em><em> </em><em>=</em><em> </em><em>¼x</em><em> </em><em>-</em><em> </em>2, then finally convert to Standard Form by moving "-¼x" to the other side of the equivalence symbol to end up with <em>-¼x + y = -</em>2. Do you understand?
Answer:
See explanation
Step-by-step explanation:
Given
Required
Find x
The question is incomplete, as the relationship between both angles is not given
(1) If they are supplementary, then
Collect like terms
Divide both sides by 7
(2) If they are complementary, then
Collect like terms
Divide both sides by 7
(3) If they are vertically opposite angles, then
So, we have:
Collect like terms
Answer:
Now thats you've had time to think about it.
- They rotate and then move down!
- C
Answer:
3.33×10⁴
Step-by-step explanation:
You can use the hint, or you can use a common exponent. Here is the latter case.
(3.9×10⁴) -(5.7×10³) = (3.9×10⁴) -(0.57×10⁴) = (3.9 -0.57)×10⁴
= 3.33×10⁴
_____
With a little practice, you can see the effect on exponents of moving the decimal point. Here, we have ...
5.7×10³ = (0.57×10)×10³ = 0.57×(10×10³) = 0.57×10⁴
__
When adding or subtracting in scientific notation, all that is required is that the exponents of all the numbers be the same. The hint says make all the exponents be 0. Above, we have chosen to make them all be 4. You could also use 3:
(3.9×10⁴) -(5.7×10³) = (39×10³) -(5.7×10³) = (39 -5.7)×10³
= 33.3×10³ = 3.33×10⁴
Okay, so we already know that 350 people purchased tickets in hour 1:
17.50(350 + ?) = ?
The question states that in the 2nd hour, there was 20% more people. So basically, we solve for 120% of the people from the 1st hour:
17.50(350 + 1.2(350)) = ?
Multiply 1.2 by 350:
17.50(350 + 420) = ?
Add:
17.50(770) = ?
Multiply:
17.50(770) = 13475
$13,475 was the total amount of money.
