Answer: 16a + 32b - 8c
Step-by-step explanation:
8(2a + 4b - c ) = 16a + 32b - 8c
Multiply 8 by 2a to get 16a
Multiply 8 by 4b to get 32b
Multiply 8 by -c or -1c to get -8c
Put them together to get 16a + 32b - 8c
Answer:
So, the initial number of apples is 7.
Step-by-step explanation:
The number of apples of An, Binh, and Chi are the same. An gave away 17 apples, Chi gave away 19 apples, so now Chi's apples are 5 times higher than the total remaining apples of An and Binh. How many apples did each of you have at first? (Solve the above problem by equation or system of equations)
Let the initial numbers of apples is a.
An gave 17 apples
Chi gave 19 apples
So,
x - 19 = 5 (x - 17 + x)
x - 19 = 5 (2x - 17)
x - 19 = 10 x - 85
9 x = 66
x = 7
Answer:
<em>1+√3</em>
Step-by-step explanation:
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * AC * BD
We need to get AC
AC = AD+DC
Get base AD using SOH CAH TOA
tan 45 = 4/AD
AD = 4/tan45
AD = 4/1
AD = 4
Get DC
tan 30 = 4/DC
DC = 4/tan 30
DC = 4/(1/√3)
DC = 4√3
AC = 4 + 4√3
AC = 4(1+√3)
Get the Area of the triangle
<em>Area = 1/2 * 4 * 4(1+√3)</em>
<em>Area of the triangle = 1+√3</em>
There are 4 possibilities:
1) No event happens
2) event A happens, not event B
3) event B happens, not event A
4) both events happen
seeing as there is a 50% chance of either event happening, I would assume that all 4 possibilities have an equal chance of happening
so if there are 4 events, then each one is 25% likely.
So the probability if them both occurring is 25%
I think
