Quarters = x
Dimes = y
A) X + Y = 27
B) .25X + .10Y = 4.50
Multiplying equation B by -4
B) -X -.4 Y = -18 then adding it to A)
A) X + Y =27
we get
.6 Y = 9
Y = 15
Then inputting this into equation A)
A) X + Y = 27
A) X + 15 = 27
X= 12
Answer:
-17
Step-by-step explanation:
When the sequence is defined recursively, it is often easiest just to evaluate the next term from the previous one. Here, each term is 5 less than the previous, so the first terms are ...
-2, -7, -12. -17, ...
The 4th term is -17.
Answer:
sorry but the question isn't clearly understandable!! maybe Post the full question
<h2>
Answer:</h2>
The probability that the written 3 digit number starts with 3 is 1/9
<h3>Explanation: </h3>
The total number of 3-digit numbers starting from 100 till 999, including both these endpoints, is 900. Since the first digit can be any number from 1 to 9; tens (second digit) and hundreds’ (third digit) can be any number from 0 to 9;( 9×10×10 = <u>900</u>). Therefore, three-digit numbers in between 100 and 999 = Total possible number of outcomes = 900.
For 3-digit number to start with 3, the first digit (hundreds’ place) has to be 3. The tens place (2nd digit) and units place can be any number from 0 to 9. Therefore, total number of favorable outcomes for the three digit number to start from 3 is 1×10×10 = <u>100</u> (numbers from 300 to 399)
Probability = Total number of favorable outcomes / Total possible outcomes = 100/900 = 1/9
Answer:
B (7, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ , ] ← midpoint formula
let coordinates of B = (x, y ), then using the midpoint formula, equate to each of the coordinates of M, that is
= 2.5 ( multiply both sides by 2 )
- 2 + x = 5 ( add 2 to both sides )
x = 7
= - 1.5 ( multiply both sides by 2 )
- 7 + y = - 3 ( add 7 to both sides )
y = 4
Thus
coordinates of B = (7, 4 )