Answer:
Step-by-step explanation:
![\sqrt[3]{54c}=\sqrt[3]{3*3*3*2c} =3\sqrt[3]{2c}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B54c%7D%3D%5Csqrt%5B3%5D%7B3%2A3%2A3%2A2c%7D%20%3D3%5Csqrt%5B3%5D%7B2c%7D)
C, or 5000(0.9)t is correct.
Multiplying by 0.1 would not make the car’s price go down by ten percent, but 90. Hence, C is correct.
Hope this helps!
Answer:
x = 136/11
, y = 68/11
Step-by-step explanation:
Solve the following system:
{6 x - y = 68
2 y = x
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{6 x - y = 68
2 y = x
Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.
2 y = x is equivalent to x = 2 y:
{6 x - y = 68
x = 2 y
Hint: | Perform a substitution.
Substitute x = 2 y into the first equation:
{11 y = 68
x = 2 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{11 y = 68
x = 2 y
Hint: | Solve for y.
Divide both sides by 11:
{y = 68/11
x = 2 y
Hint: | Perform a back substitution.
Substitute y = 68/11 into the second equation:
{y = 68/11
x = 136/11
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 136/11
, y = 68/11
In triangle ABC, angle B is 90° and angle A is 45° => triangle ABC is Isosceles triangle. That means side AB = BC
Also, side AC² = AB² + BC² = 2BC²
(6√2)² = 2BC² => 36*2
BC = 6
In triangle BCD, angle D is 90° and angle B is 60° => triangle BCD is semi Equilateral triangle. That means side BD = ½BC = 6/2 = 3 which is the value of X.
Good luck
73 feet per second
Steps-
Miles to cover- 50 miles = 50*5280 feet = 264,000 feet
Time it takes- 1 hour = 1*60*60 seconds = 3,600 seconds
So speed is- 264,000 feet per 3,600 seconds = 264,000 / 3,600 = 73.33 ft per second
