Answer:
The answer to your question is (-1, 4) The lines cross in one point so they have only one solution.
Step-by-step explanation:
Data
Equation 1 x - 4y = -17
Equation 2 y = 4x + 8
Solve for y
Equation 1 y = -x/-4 - 17/-4
y = x/4 + 17/4
Equation 2 y = 4x + 8
See the graph below
These lines cross in point (-1, 4), so that is the only one solution.
If the lines were the same line they would have infinite solutions
The given condition is an arithmetic sequence with the first term (a1) is 1 penny and the common difference (d) is 1 penny. A year that is not a leap year has 365 days (n). The arithmetic series (S) is calculated through formula,
S = (n/2) (2a1 + (n - 1) x d)
Substituting the known values,
S = (365/2) (2 x 1 + (365 - 1) x 1)
S = 66795 pennies
A dollar is 100 pennies. Therefore, at the end of the year, the total savings is $667.95.
Hi There!
Solve the Inequality:
2x-1≤x+5
Move all the variables (in this case, x's) to the left, using the opposite operation:
2x-x-1≤5
Move -1 to the left:
2x-x≤5+1
Combine like terms:
x≤6 (Answer)
<h3>Hope it helps & enjoy your day!</h3>
Answer:
50hours
Step-by-step explanation:
Given that there are 400 pages in Sheila's favorite book.
The average number of words per page in the book is 300
She types an average rate of 40words per minute.
So to type 400pages of the book
Total number of words in the pages = 400×300 = 120000 words
Typing rate : 40words ------- 1minute
120000 words ----------- x minutes
Hence we have 40 × X mins = 120000 × 1min
Make X the subject
40X = 120000minutes
X = 120000/40
X = 3000minutes
Since 60minutes = 1hour
3000minutes = 3000minutes/60
= 50hours
Hence it took her 50hours to type 400pages
Answer:
B
Step-by-step explanation:
