Answer:
x + y = 24
16x + 20y = 434
x = 11.5
y = 12.5
Step-by-step explanation:
Part A:
x + y = 24
16x + 20y = 434
Part B:
simplify the second equation to find a "kind of answer" to a variable,
so we could simplify it to either y = 21.7 - 0.8x or x = 27.125 - 1.25y
in this case we will use y = 21.7 - 0.8x
substitute your new value of y into the first equation:
x + (21.7 - 0.8x) = 24
now, we can solve this to find the actual value of x: x = 11.5
so plug in your real x value to the simplified second equation (y = 21.7 - 0.8x)
you get y = 12.5
this tells you how many hours the machine spent on making each type of item
Answer:
The probability that a 57-year-old was involved in an accident is 0.0656.
Step-by-step explanation:
We are given the data for the drivers involved in an accident of different age groups.
And we have to find the probability that a 57-year-old was involved in an accident.
From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.
Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).
The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.
So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).
The probability that a 57-year-old was involved in an accident is given by;
= 
= 
= <u>0.0656 or 6.56%</u>
Answer:
the object will attain maximum height at 3.5 seconds.
Step-by-step explanation:
The height of the object (in feet), h, above the ground t seconds after it is fired is given by h(t)=−16t2+112t+128.
128 represents 128 feet above the ground and this is the height from which the object was fired.
The given equation is a quadratic equation and plotting of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = -16
b = 112
Vertex = - - 112/32= 3.5
So the object will attain maximum height at 3.5 seconds.
What? That’s not possible because there’s no blue pens. If that’s the awnser?
