Assuming the rate of phone calls is constant at 425 calls per month, you would have a proportional relationship between time and number of phone calls. In other words, the total phone calls would be dependent upon the number of months. i.e. 1 month = 425 calls, 2 months = 850 calls, and so on....
Therefore, for this relationship between time and total calls the following would be true.
The time( in months) would be considered the independent variable.
The number of calls for a specified number of months would be considered the dependent variable.
Answer:
-1 3/4 =x
Step-by-step explanation:
-3 1/2= 1/2x+1/2x+x
Combine like terms
-3 1/2 = 2x
Change to an improper fraction
- ( 2*3+1)/2 = 2x
-7/2 = 2x
Multiply each side by 1/2
-7/2 *1/2 = 2x* 1/2
-7/4 = x
Changing to a mixed number
-4/4 -3/4 =x
-1 3/4 =x
Question Continuation:
if (a) the books can be arranged in any order?
(b) the mathematics books must be together and the novels must be together?
Answer:
(a) 3628800 ways
(b) 17280 ways
Step-by-step explanation:
Given
Solving (a): In any order
This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.
Total number of books is:
The number of arrangement is:
(b):
If the mathematics books are together, there are 4! different arrangements
If the novels are together, there are 5! different arrangements
Now, there are 3 bundles.
- The mathematics books as 1
- The novels as 1
- The biology book
This can be arranged in 3! ways.
Total number of arrangement is:
Answer:
Step-by-step explanation:
Given expression:
<u>Partition</u> the mixed numbers into <u>fractions</u> and <u>whole numbers</u>, and then subtract them separately.
<u>Subtract</u> the whole numbers:
<u>Subtract</u> the fractions by changing both fractions into equivalent fractions so both fractions have the <u>same denominator</u>:
<u>Subtract</u> the numerator:
Put the two answers from the whole numbers and fractions back together:
Therefore:
Answer:
B, C, E
Step-by-step explanation:
Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.
Select all the statements about the situation that are true.
A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.
Elena:
$1 = 1 call
$10 = 10 calls
Diego:
27 windows = $30
10 windows = $x
Cross product
27*x = 30*10
27x = 300
x = 300/27
x = $11.11
Statement A not true
B. Diego makes more money for washing each window than Elena makes for making each call.
Diego:
10 windows = $11.11
Each window = $11.11/10
= $1.11
Statement B is true
C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows
Elena:
20 calls = $20
Diego:
18 windows = 18 × $1.11
= $19.98
Approximately $20 to the nearest whole dollar
Statement C is true
D. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.
Diego
35 × $1.11 = $38.85
Approximately $39
Elena:
40 calls = $40
Statement D is not true
E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.
Statement E is true