Let x represent number of redwood trees and y represent number of spruce trees.
We have been given that a park ranger bought 12 trees. We can represent this information in an equation as:
We are also told that redwood trees cost $24 each, so cost of x redwood trees would be 
.
Each spruce tree costs $16, so cost of y spruce trees would be 
.
Since the park ranger spent $208 on trees, so we can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, the park ranger bought 2 redwood trees.
Upon substituting in equation (1), we will get:
Therefore, the park ranger bought 10 spruce trees.
It would be over 12% (11.98375085%)
Lets break it down:
You need to find what percent 177 is of 1,477.
To do this, you need to do 177÷1,477 to get 0.1198 and so on
(To find a percent from a decimal, you move the decimal point 2 places to the right)
If you find the percent, it would be 11.98 (and so on) percent. Rounded to the nearest 1%, it would be 12%
Hope this helps!
Answer:
Step-by-step explanation:
A. Function before discount:
f(c)= 8.97c
This means that cost per strand of outdoor light is $8.97 and c is number of strands of outdoor light bought. Therefore to model the function g(c) after he has received a $5 discount on his purchase(total purchase)
g(c)=8.97c-5
B. cost of 6 strands of light before discount
f(c)= 8.97×6= $53.82
cost of 6 strands of light after discount
f(c)=8.97×6-5= $48.82
Your x values are 1.24 and -0.404.
First you need to make the equation equal 0, and you can do this simply by subtracting 5x, so you get
6x² - 3 - 5x = 0
The quadratic formula is (-b +- √b² - 4ac)/2a, where a is the x², b is the x, and c is the value. This means we can just substitute it in.
You find the value of the part inside the square root, which is -5² - 4 × 6 × -3 = 97. Now we can use this to substitute in to (5 +- √97)/12. We can do it with the plus sign, and get 1.24, and then with the subtract sign and get -0.404.
I hope this helps!
Answer:
range is between 55.5 to 64.5
Step-by-step explanation:
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches
68% is 1 standard deviation from mean
To get the range of 1 standard deviation we add and subtract standard deviation from mean
mean = 60
standard deviation = 4.5
60 - 4.5= 55.5
60+4.5 = 64.5
1 standard deviation is between 55.5 to 64.5
That is 68% range is between 55.5 to 64.5
