Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
Subtract 
from each side to single out one variable to one side
Now, we can plug in our value for x into the given equation
Open the parentheses
Merge Y values
Separate numerical values from variables
Divide by 10.8 in order to have a coefficient of 1
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.
Open parentheses
Single out the variable
Divide by 5 to have a coefficient of 1 before x
The probability of getting a spade is 1/4, and the probability of getting a king is 1/13. Thus, the probability of getting a spade or a king is
.
Answer:
22.4
Step-by-step explanation:
7,125 divided by 57000 = 1.25
rounded to 1.3%
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
