Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Solve for </u><em><u>c</u></em>
- Simplify [Reduce]:
- [Multiplication Property of Equality] Cross-multiply:
Answer:
Step-by-step explanation:
<u>Given points </u>
<u>Use slope formula to find the slope</u>
- m = (y2 - y1)/(x2 - x1)
- m = (-7 -5)/(1 + 2) = -12/3 = -4
Slope is -4
Answer:
D.
Step-by-step explanation:
Given, 18 pumps----2170 tonnes----10*7 hrs.
So, 16 pumps-------2170 tonnes----10*7*18/16 hrs.
And, 16 pumps-------1736 tonnes----10*7*(18/16)*(1736/2170)hrs. = 63 hrs.
So, no. of days req.= 63/9 = 7 days
Answer:
5 years.
Step-by-step explanation:
Every year the population increases by a factor 103.5% or 1.035.
The equation relating population and time in years is:
P = 6000(1.035)^t (This is an example of exponential growth)
So we have:
7100 = 6000(1.035)^t
(1.035)^t = 7100/6000
(1.035)^t = 1.1833
t ln 1.035 = ln 1.1833
t = ln 1.1833/ln 1.035
= 4.89.
