Answer:
£42
Step-by-step explanation:
The ratio of Richard's amount to Stephen's amount is ...
R : S = 3 : 1
The ratio of Natasha's amount to Richard's amount is ...
N : R = 2 : 1 = 6 : 3
Then the ratio of all three amounts is ...
N : R : S = 6 : 3 : 1
The proportion of the total that Natasha gets is ...
6/(6+3+1) = 6/10
so she gets ...
(6/10)×£70 = £42
Natasha gets £42.
43 degrees because they are congruent so angle p is equal to angle k
Answer:
48
Step-by-step explanation:
First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.
In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:
3 2 2 2 2
And you would multiply all the numbers.
3 x 2 x 2 x 2 x 2
= 6 x 8
= 48
Answer:
x=-15/2
Step-by-step explanation:
Answer:
The rocket hits the gorund after approximately 10.71 seconds.
Step-by-step explanation:
The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:
And we want to find the time in which the rocket will hit the ground.
When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>
<em />
<em />
We can use the quadratic formula:
In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.
Substitute:
Evaluate:
Hence, our solutions are:
Since time cannot be negative, we can ignore the first answer.
So, the rocket hits the gorund after approximately 10.71 seconds.
