Answer:
<em>200mph</em>
Step-by-step explanation:
Speed is expressed using the expression
Speed = Distance/Time
For Mattie
Distance = 200miles
Speed = x
Time taken by mattie = Distance/speed
Time taken by mattie = 200/x ... 1
For the propeller plane:
Distance = 800miles
Speed = x+150 (The speed of the plane was 150 mph faster than the speed of the car)
time taken by the plane = 800/x+150
Since Mattie took the same amount of time that it took a turbo propeller plane to travel, then we will equate both expressions as shown:
200/x = 800/150+x
Cross multiply
800x = 200(150+x)
800x = 30,000 + 200x
800x-200x = 30,000
600x = 30,000
x = 30,000/600
x = 50
Get the speed of the plane
Since the speed of the plane is 150+x
Speed of the plane = 150+50
<em>Speed of the plane = 200mph</em>
Answer:
64 degrees
Step-by-step explanation:
All angles in a triangle plus each other equals 180. First find the missing angle of the triangle with 2 given angles. The missing angle is 64 degrees because 68 plus 48 is 116 and 180 - 116 is 64. Vertical angles are always congruent and the missing angle is vertical to the missing angle on the first triangle.
In this question, we're going to go step by step to get the final price of the share.
We know that the stock started off as $40 per share, so that would be our starting value.
The stock dropped by 10%, so let's calculate the drop in price.
40 · 0.10 = 4
40 - 4 = 36
On Monday, the value of the stock was $36
On Tuesday, the stock dropped by $10, so calculate that drop as well
36 - 10 = 26
On Tuesday, the stock value is at $26
The stock increased by 45%, so we need to calculate the increase.
26 · 1.45 = 37.70
This means that the final price of the share was $37.70
Answer:
$37.70
Answer:
20 grape lollipops
Step-by-step explanation:
From the 30 lollipops, 6 were grape
P(grape) = grape/total
=6/30
=1/5
If we get 100 lollipop, to determine the number that would be grape, we multiply the number of lollipops by the probability that they are grape
grape = number * probability
= 100 * 1/5
=20
24/8 = 3, 64/8 = 8
Therefore the answer is D. 8
