Answer:
Step-by-step explanation:
Because those 2 lines are parallel, then 2x + 10 and 2x - 30 are same side interior and are supplementary. Therefore,
2x + 10 + 2x - 30 = 180 and
4x - 20 = 180 and
4x = 200 so
x = 50
Answer:
Step-by-step explanation:
We will use the standard formula for half-life:
Where A₀ is the initial amount, a is the half-life, d is the time for one half-life, and t is the number of days.
So, we will substitute 1/2 for a and 24.3 for d. This yields:
We have a 3 gram sample. Therefore, our initial amount A₀ is 3:
And we want to find the remaining sample after 10 days. So, t=10. Substitute:
Use a calculator. So:
Therefore, for a 3 gram sample of Phosphorous-32 with a half-life of 24.3 days, after 10 days, there will be approximately 2.255 grams remaining.
The sides are in ratio 2:3:4
So this means
shortest side = 2x
medium side = 3x
longest side = 4x
for some number x
The shortest side is given to be 5 cm, meaning that
2x = 5
x = 5/2 <--- divide both sides by 2
x = 2.5
Since x = 2.5, we can now say...
shortest side = 2*x = 2*2.5 = 5
medium side = 3*x = 3*2.5 = 7.5
longest side = 4*x = 4*2.5 = 10
The three sides of the triangle are: 5, 7.5, 10
They add to 5+7.5+10 = 22.5
The perimeter of this triangle is 22.5 centimeters
Grade In Favor Opposed Undecided Total
9 4 2 8 14
10 7 11 8 26
11 14 15 9 38
12 11 5 10 26
Total 36 33 35 104
Above is a partial sum chart that will help us in our quest.
P(Grade 9 | opposed)
The probability of Grade 9, given opposed, is the portion of opposed students that are in grade 9.
Total number opposed: 33
Number opposed in Grade 9: 2
P(Grade 9 | opposed) = 2 / 33 = 0.06
P(opposed | Grade 9)
Total Number Grade 9: 14
Number opposed in Grade 9: 2
P(opposed | Grade 9) = 2 / 14 = 0.14
Answer:
difference in percentage = 44-39=5%
difference in number =30
let total number of run by team be x
5% 0f x= 30
0r 5x = 3000
x= 300/5 = 600
Step-by-step explanation:
