Answer:
5 /36
Step-by-step explanation:
Sample space :
Number of faces^number of dice = 6^2 = 36
Sum of 8 on a roll of 2 dies :
Probability = required outcome / Total possible outcomes
Required outcome = number of times a sum of 8 is obtained on a roll of 2 dies = 5
Total possible outcomes = sample space = 36
P(obtaining a sum of 8) = 5 /36
Answer:
140°
Step-by-step explanation:
155°-15° =140°
Answer:
Q#1.total number of T-shirts for total cost to be equal=10
Q#2.For the total cost to be the same for both companies, the volleyball team would need to purchase 10 T-shirts from each company
Q#3.total of $105 for each company.
Step-by-step explanation:
Q#1
two functions are given
y=10.5x
y=7.5x+30
where y represents cost and x represents number of shirts
we have to find number of shirts to be purchased from each company keeping cost equal
hence we will write
10.5x=7.5x+30
10.5x-7.5x=30
3x=30
x=30/3
x=10
Number of shirts to be equal cost price is 10
Q#2
two functions are given
y=10.5x
y=7.5x+30
where y represents cost and x represents number of shirts
we have to find number of shirts to be purchased from each company keeping cost equal
hence we will write
10.5x=7.5x+30
10.5x-7.5x=30
3x=30
x=30/3
Number of shirts =x=10
Q#3
total cost=y=?
for y=10.5x
put x=10
y=10.5*10
cost=y=105
and for other function
for y=7.5x+30
put x=10
y=7.5(10)+30
y=75+30=105
Let c represent the weight of cashews and p the weight of pecans.
Then c + 10 = total weight of the nut mixture.
An equation for the value of the mixture follows:
$1.50(10 lb) + $0.75c = (c+10)($1.00)
Solve this equation for c: 15 + .75c = c + 10. Subtract .75c from both sides:
15 = 1c - 0.75c + 10. Then 5=0.25c, and c = 5/0.25, or 20.
Need 20 lb of cashews.
Check: the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15. The total value of the cashews is (20 lb)($0.75/lb), or $15. Does (20 lb + 10 lb)($1/lb) = $15 + $15? Yes. So c= 20 lb is correct.
