Answer:
Infinite
Step-by-step explanation:
3(4x + 1) - 2
= 12x + 3 - 2 (Multiply the sum in the bracket by 3)
= 12x + 1 (Simplify)
This means that:
12x + 1 = 3(4x + 1) - 2
is the same as
12x + 1 = 12x + 1
Hence, anything that is used to substitute x is correct.
18. The perimeter is simply √3 + √3 + √3 + √3 or 4√3cm, since the perimeter is just all sides added together. You could add the decimal numbers together using a calculator, which I'm not sure if you're supposed to do in your class.
The area is just width times length, so √3 • √3 = 3cm².
19. The perimeter is 2√5 + 2(9 - √5).
This can also be written as 2√5 + 18 - 2√5, which leaves you with a perimeter of 18ft.
The area would be √5 • (9 - √5), which leaves you with (9√5 - 5)ft².
20. The formula for the perimeter (or circumference) of a circle is π times the diameter of the circle. Using the radius of the circle, 1/π, the diameter is 2/π, so
π • 2/π = 2. The circumference of the circle is 2 inches.
The area of the circle is calculated with the equation πr², so
π(1/π)² = π • 1/(π²) = π/(π²) = π. The area is simply π in².
Answer:
1,115 mL
Step-by-step explanation:
The original amount of OJ is what we're trying to find, so that will be our variable, x. Now, keep in mind the order of events to write the correct equation. We started with the x amount of OJ, then 240 mL was taken away, to leave us with 875 mL. So, x - 240 = 875. Then we solve this by adding 240 to both sides to get the x alone. This gives us x=1,115 mL!
Answer:
The value of rate per annum is R = 12.5 %
Step-by-step explanation:
Principal amount = 576
Interest = 153
Amount after 2 years = 576 + 153 = 729
We know that
Put all the values in above equation
R = 12.5 %
This is the value of rate per annum.
Answer:
for this one b=49.458
Step-by-step explanation: