Answer:
76 degrees
180-38-38 is 104
180-104 is 76 since it's a straight line which equals to 180 degrees
Answer:
The answer is below
Step-by-step explanation:
The equation of a linear function is given as:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of variable y.
A) Since there is B bacteria in the Petri dish at 12:00 midnight and the number of bacteria increases after midnight by 25 every hour. Let h represent the time in hours and T represent the total number of bacteria, therefore the equation is:
T = 25h + B
B) Given that B = 5, h = 6, hence:
T = 25(6) + 5 = 150 + 5 = 155 bacteria
C) The equation of the graph is:
T = 25h + 5
The graph was plotted using geogebra online graphing.
I think 10.2 when I use calculater
Answer:
Step-by-step explanation:
Let's identify what we are looking for in terms of variables. Sandwiches are s and coffee is c. Casey buys 3 sandwiches, which is represented then by 3s, and 5 cups of coffee, which is represented by 5c. Those all put together on one bill comes to 26. So Casey's equation for his purchases is 3s + 5c = 26. Eric buys 4 sandwiches, 4s, and 2 cups of coffee, 2c, and his total purchase was 23. Eric's equation for his purchases then is 4s + 2c = 23. In order to solve for c, the cost of a cup of coffee, we need to multiply both of those bolded equations by some factor to eliminate the s's. The coefficients on the s terms are 4 and 3. 4 and 3 both go into 12 evenly, so we will multiply the first bolded equation by 4 and the second one by -3 so the s terms cancel out. 4[3s + 5c = 26] means that 12s + 20c = 104. Multiplying the second bolded equation by -3: -3[4s + 2c = 23] means that -12s - 6c = -69. The s terms cancel because 12s - 12s = 0s. We are left with a system of equations that just contain one unknown now, which is c, what we are looking to solve for. 20c = 104 and -6c = -69. Adding those together by the method of elimination (which is what we've been doing all this time), 14c = 35. That means that c = 2.5 and a cup of coffee is $2.50. There you go!
Answer:
4sqrt6
Step-by-step explanation:
I am completely terrible at simplifying radicals but here we go:
8x12=96
find the prime roots and...... hmm that's all I got for you, sorry!!