Answer:
We are working with 2 vertical angles which are ALWAYS equal.
Therefore, 2 + 3x = 62
3x = 60
Therefore, x = 20
Step-by-step explanation:
Answer:
Number of 5 dollar bills = 23
Number of 10 dollar bills = 13
Step-by-step explanation:
Let number of 5 dollar bills be x
and the number of 10 dollar bills be y
Total $245, means we can write:
5x + 10y = 245
Ten more 5 dollar bills than 10 dollar bills, means:
x - 10 = y
Now we substitute 2nd equation in first and solve for x:

Also,
y = x - 10
y = 23 - 10 = 13
So there are 23 5-dollar bills and 13 10-dollar bills
alice fox's step is 3/5 m and basil cat's step is 4/5m.
note: i will be using 1/5m instead of 20 cm to keep the units consistent
1. Set up table
| Step Length | # of steps | Distance
A | x | 240/x | 240
B | x+1/5 | 240/x+1/5 | 240
2. set up equation
240/x - 100 = 240/x+0.2
3. Multiply the bases to make it:
240x+48 - 100x^2 -20x = 240x
= 100x^2-20x+48=0
4. Use vieta's theorem or quadratic equation to solve for x
x= 3/5, -4/5 but -4/5 doesnt work bc distance can't be negative
5. plug back in
A | 3/5
B | 3/5+1/5
so: alice fox's step is 3/5 m and basil cat's step is 4/5m.
hope this was helpful!!
630 red marbles
420 yellow marbles
210 purple marbles
because 1260 x 1/2 = 630, 1260 x 1/3 = 420, 1260 x 1/6 = 210