Answer/Step-by-step explanation:
A) The temperature in Chicago could be -10*F because -10 is to the right of -13 on the number line.
Higher Temperatures -->
o----------->I
I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I
-13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Answer:
b) no solution
Step-by-step explanation:
What you always want to do in this type of problem is to combine all of your "like terms," where like terms are the part of your equation that have the same variable (or no variable). In this equation, we see three terms that have the variable "z". We can add the 12z + 15z on the left side to get 27z, and then we subtract 27z on both sides to cancel both of the 27z terms out.
Now, we are left with -6 = -5 (because we got rid of all the terms with the variable z in them). We know that -6 does not equal -5, and therefore, there is no number that we can assign to variable z such that the left side of the equation will equal the right side of the equation.
Therefore, there is no solution (because a solution to the equation would be a value that we can plug into the variable z to make the equation true).
The first thing we have is the following equation:
54 ÷ 9 = 6
Let's multiply both sides by 9 to not alter the equality:
(54 ÷ 9) * 9 = 6 * 9
Rewriting we have:
54 = 6 * 9
Answer:
An inverse operation that would be used to verify the equation is:
D. 9 × 6 = 54
Answer:
R = -H + 24
Step-by-step explanation:
An antique dealer has 24 clock radios to sell 12 at a 12 hour long antique Radio sale
12 radios are sold in 12 Hour
Table
Hours Radio Available Remaining
0 24
2 22
4 20
6 18
8 16
10 14
12 12
Line of equation R = mH + c
R = Radios Available / Remaining to be sold
H = Hours of Sale passed
m = slope of line
c = constant
H = 0 , R = 24
24 = 0 + c
=> c = 24
R = mH + 24
for H =2 R = 22
22 = 2m + 24
=> m = -1
R = -H + 24
As every passing hour he will be able to sell a radio so number of radios available will keep decreasing so there is a sign of - multiplied by H
24 is the radio available at beginning of sale.
if we plot a graph for Radio sold against hours
then equation would be
R = H ( c = 0 as no radio sold at beginning of sale)
Answer:
0.58 = 58% probability she passes both courses
Step-by-step explanation:
We can solve this question treating the probabilities as a Venn set.
I am going to say that:
Event A: She passes the first course.
Event B: She passes the second course.
The probability she passes the first course is 0.67.
This means that 
The probability she passes the second course is 0.7.
This means that 
The probability she passes at least one of the courses is 0.79.
This means that 
a. What is the probability she passes both courses
This is
.
We use the following relation:

So

0.58 = 58% probability she passes both courses