Answer:
y = 14x
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 7 as y and 0.5 as x, and solve for k:
y = kx
7 = k(0.5)
14 = k
Plug this into the equation:
y = kx
y = 14x
So, the equation of variation is y = 14x
Answer: the actual amount that Luke paid including tax is $55.65
Step-by-step explanation:
The initial price of the jacket is $75.
Luke bought a jacket that was 30% off the cost. This means that the amount of discount on the Jacket is
30/100 × 75 = 0.3 × 75 = $22.5
The price of the jacket after the discount had been applied is
75 - 22.5 = $52.5
He paid sales tax of 6% after the discount had been applied. This means that the amount of sales tax that he paid on the jacket is
6/100 × 52.5 = 0.06 × 52.5 = 3.15
Therefore, the actual amount that Luke paid including tax is
52.5 + 3.15 = $55.65
We can solve this problem by the rule of three.
A complete pie chart has 360º.
45º----------------------6 people
360º-------------------- x
x=(360º*6 people) / 45º=48 people.
Answer; 48 people.
Answer:
Step-by-step explanation:
if he can walk 0.5 miles in 6 minutes at a constant rate then you can say that he can walk 1 mile in 12 minutes.
therefore he can walk 1/12 mile ever one minute
so m=1/12t
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
For this formula, we need the radius of the sphere. Divide the diameter by 2:
The radius is 9 inches. Plug this into the equation:
Simplify the equation:
Round the result to the nearest whole number:
→ 
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
