The slope of the first equation is -2, you can see it right off.
the slope of the second equation is 2, notice both are in slope-intercept form.
both equations are the equations of a line, so is really just two lines.
because their slope differs, they're not parallel or equivalent, therefore, they lines do meet at some point, and one point only, and therefore, they have 1 solution only.
a system of equations with at least 1 solution, is a consistent system.
a consistent system with exactly 1 solution only, is not just consistent, but also independent.
The answer is 30 cubic inches.
If <span>5 chocolate candies are in 1 cubic inch, 150 </span><span>chocolate candies will be in x cubic inches:
</span>5 chocolate candies : 1 cubic inch = 150 chocolate candies : x<span> cubic inches
</span>5 : 1 = 150 : x
5 = 150 : x
x = 150 : 5
x = 30
So, if <span>150 chocolate candies are in a jar, the volume of the jar is 30 cubic inches.</span>
All the odd numbers are 1,3 and 5 so that’s three in total and because there are 6 numbers all together, it would be 3/6
Answer:
a = 24.
Step-by-step explanation:
He has 5 scores so the total for all scores is 5*14 = 70.
So a = 70 - (10 + 16 +8 +12)
= 70 - 46
= 24.
Answer:
314.2 cm²
Step-by-step explanation:
The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm
So, A = πd²/4
substituting the value of d into the equation, we have
A = π(20 cm)²/4
A = π400 cm²/4
A = 100π cm²
A = 314.16 cm²
A ≅ 314.2 cm²