I like to use an X diagram to solve problems like this. The constituent percentages are on the left, the desired mix is in the middle and the numbers on the diagonals are the difference between the mix and the constituent.
The numbers 6 and 24 here represent the ratio of 40% to 10% chocolate. That 6:24 ratio can be reduced to 1:4. The sum of those ratio units is 1+4 = 5, so each must represent (200 kg)/5 = 40 kg of chocolate.
The mix must consist of
40 kg of 40% fat chocolate 160 kg of 10% fat chocolate
Let's write some equations.
Mingwei's distance from Town A after
hours from 8:00 is
.
Ali's distance from Town B after
hours is
, since he doesn't start walking for 40 minutes.
When Mingwei's distance is twice Ali's, they've met up (since their distance from Town A is twice their distance from Town B).
So, this gives
, so
, so
, so the time is 10:40.
After
hours, Mingwei has traveled
kilometers while Ali has traveled sixty, so the distance between the towns is
kilometers.
Answer:
Step-by-step explanation:
This is right triangle trig. The side opposite the x is 8, and the side adjacent to the x is 5. The tangent ratio uses those sides. We need to find what angle has a tangent of 8/5. To do this, make sure your calculator is in degree mode. Then hit "2nd" then tan and you will see tan with a little -1 and a parenthesis. Enter 8/5 and hit "enter" and you will get an angle measure of 57.9946. Rounded to the nearest degree this is 58 degrees. That's your answer!
Answer:
The rule for a reflection over the y -axis is (x,y)→(−x,y) .
The rule for a reflection over the x -axis is (x,y)→(x,−y) .
sorry I can't help you with number 4, hopefully this helps!
Answer is 3 1/10
6 1/2 - 3 2/5 =
13/2 - 17/5 =
65/10 - 34/10 =
31/10 = 3 1/10
