X = how much Tim has
y = how much Tom has
x + y = 2.40
x = 3y
Substitute 3y for x
3y + y = 2.40
4y = 2.40
y = 0.60
Plug in y value into previous equation
x = 3(0.60)
x = 1.80
ANSWERS: Tim has $1.80 and Tom has $0.60
K=9S/2, total savings is S+9S/2=11S/2. So 9S/2÷11S/2=9/11. (a) The ratio is 9:11.
(b) Kieran’s savings are 9/11 of the total savings.
(c) Simon’s savings are S÷11S/2=2/11 of total savings (or simply subtract 9/11 from 1).
(d) K-S=28, 9/11-2/11=7/11 of the total savings, so 7/11 of the total savings is $28 and total savings is 11/7×28=$44.
CHECK
Kieran has 9/11 of $44 which is $36 and Simon has $8. 36/8=9/2 so the ratio is correct.
Simon has $28 less than Kieran and 36-8=28, which is correct.
Answer:
34.5 units²
Step-by-step explanation:
There are methods for finding the area of a polygon using arithmetic on the coordinates. Here, it is probably more convenient to cut the figure into two triangles and a trapezoid and figure the areas of those.
A line from (-5, 1) to (1, 1) will create a triangle above that line with base 6 and height 3. Its area will be ...
A = 1/2·b·h = 1/2·6·3 = 9 . . . units²
Similarly, a line from (1, 1) to (1, -2) will create a triangle to the right of that line with base 3 and height 4. Its area will be ...
A = 1/2·b·h = 1/2·3·4 = 6 . . . units²
The remaining trapezoid has top base 6, bottom base 7, and a height of 3. Its area will be ...
A = 1/2·(b1+b2)·h = 1/2·(6 +7)·3 = 39/2 = 19.5 . . . units²
Then the total area of the figure is ...
(9 + 6 + 19.5) units² = 34.5 units²
If we remove human choices in creating the code the answer is 10 (the possible choices) times 26 (the possible choices) so 260 is the probability
The answer is 110 square centimeters.
