Step-by-step explanation:
angle HIJ=107°
angle IDJ=31°
now,
angle HIJ+angle JID=180°{ being straight angle}
107+angle JID=180°
angle JID=180°-107=73°
again,
angle JID+angleIDJ+angleDJI=180°{ sum of angle of triangle}
73°+31°+angleDJI=180°
angle DJI=180°-1104°=76°
hence,
angleAJF=angleDJI{ vertically opposite angle}
x=76°
hope it helps.
We need to write equation for both mandy and bill on how many books they read depending on how many months passed.
Mandy's equation:
16 + 2x
she starts with 16 read books and she reads 2 books each month which is in total 2*x where x is number of months
Bill's equation:
4x
because from table we can see he is reading 4 new books each month.
now we need to make those 2 equations equal to eachother and solve for x because we want to see after how many months both will read the same that is why we set them equal.
16 + 2x = 4x
16 = 2x
x = 8
That means that in december he will catch her (if i counted months correctly :) )
In 3 hours half of 700 would be 700/2=350
in 3 more hours, so 6 total, the half life would be 350/2 = 175
in 3 more hours, 9 total, the half life would be 175/2 = 87.5
in 3 more hours, 12 total, the live life would be 87.5 / 2 = 43.75
so it would be 12 hours to have less than 50 mg
Answer:
$ 4.75
Step-by-step explanation:
In this case we can solve it using a 2x2 system of equations, like this:
let x: price of drinks
let y: bags of popcorn price
SW:
3 * x + 5 * y = 26.75
9 * x + 2 * y = 18.50 => x = (18.5 - 2 * y) / 9
Replacing, we are left with that:
3 * (18.5 - 2 * y) / 9 + 5 * y = 26.75
6.167- 0.67 * y + 5 * y = 26.75
- 0.67 * y + 5 * y = 26.75 - 6.167
4.33 * y = 20,583
y = 20,583 / 4.33
y = 4.75
Now to calculate x:
x = (18.5 - 2 * 4.75) / 9
x = 1
That is, the value of the drinks is $ 1 and the value of bags of popcorn is $ 4.75
1 mile is 6 times
5/6 of a mile... x times
<span>x= 5/6 x 6 = 30/6= 5 times</span>
