Answer:
The expression are equivalent
Step-by-step explanation:
The question requests that we show whether the equation -0.5( 1 -2h) is equivalent to 4(2h + 2) - 7h - 8.5 or not :
Simplifying 4(2h + 2) - 7h - 8.5 ; we have ;
4(2h + 2) - 7h - 8.5
8h + 8 - 7h - 8.5
8h - 7h + 8 - 8.5
h - 0.5
-0.5(1 - 2h)
-0.5 + h
= h - 0.5
Hence, both expressions are the same
Answer:
$68.97
Step-by-step explanation:
Markup is the difference between the cost of an item and the price at which it is sold:
cost price + markup = selling price
Here, the markup is said to be 70%. The base for that percentage can be either the cost price or the selling price. The way this question is worded suggests the markup is 70% of the cost price.
So, we have ...
cost price + 0.70 × cost price = selling price
or
cost price × (1 + 0.70) = selling price
__
Then, to find the cost price, we can divide by its coefficient in this equation. Doing that gives ...
cost price = (selling price)/1.70
cost price = $117.25/1.70 = $68.97
The store's purchase price before the markup for this item was $68.97.
The correct answer is vertex.
Vertex is minimum(lowest) point when parabola opens upwards, it is the maximum(highest) point when parabola opens downward, it is the farthest point on left if parabola opens right and farthest point towards right if parabola opens left.
So the correct answer to this question is option D
Answer:
triangles have a specific geometric shape.Because they have three sides, the pythagorean theorem for right angled triangle.
The speed of light is faster than the speed of sound. So that's why you see a flash of lightning before the roar of thunder. If you heard it at the same time as you saw it, well I will be praying for you. It would literally be exactly where you are. If you hear the thunder a long time after the flash, it means the lightning is far away.
T/5=miles away when T is time from the strike of lightning to hearing thunder
