Answer:
Step-by-step explanation:
<u>Given is the geometric series, because the ratio of consecutive terms is common:</u>
The first term is 112.
<u>So the nth term is:</u>
<u>The 9th term is:</u>
Answer:
3/14
Step-by-step explanation:
You basically flip the numbers around. Hope this helps!
Answer:
c. 28 liters
Step-by-step explanation:
Given tha tJanet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. Now we need to find about how many liters of the 15% solution is Januet using in the mixture.
Let the number of liters of the 15% solution is Januet using in the mixture = x
Let the number of liters of the 35% solution is Januet using in the mixture = y
Then we get equations:
x+y=35...(i)
and
(15% of x) + (35% of y) = 19% of 35.
or
0.15x+0.35y=0.19(35)
15x+35y=19(35)
3x+7y=19(7)
3x+7y=133 ...(ii)
solve (i) for x
x+y=35
x=35-y...(iii)
Plug (iii) into (ii)
3x+7y=133
3(35-y)+7y=133
105-3y+7y=133
105+4y=133
4y=133-105
4y=28
y=28/4
y=7
plug y=7 into (iii)
x=35-y=35-7=28
Hence final answer is c. 28 liters
Answer:
(a) C = 0.29<em>t</em> + 2.50
(b) 5
Step-by-step explanation:
The variables are defined as follows:
<em>t</em> = the number of toppings
<em>C</em> = total cost for ice cream
It is provided that:
- An ice cream with no toppings is $2.50.
- Every topping is priced at $0.29 each.
(a)
The algebraic equation to find the total cost for ice cream depending on the number of toppings is:
C = 0.29<em>t</em> + 2.50
(b)
Compute the number of toppings Mr. Torrance can buy if he wants to spend only $4.00 on it as follows:
C = 0.29<em>t</em> + 2.50
4.00 = 0.29<em>t</em> + 2.50
0.29<em>t</em> = 4.00 - 2.50
0.29<em>t</em> = 1.50
<em>t</em> = 5.1724
<em>t</em> ≈ 5
Thus, Mr. Torrance can buy 5 toppings.
Answer:
(13, 10 )
Step-by-step explanation:
Given the 2 equations
x = y + 3 → (1)
x + 7 = 2y → (2)
Substitute x = y + 3 into (2)
y + 3 + 7 = 2y
y + 10 = 2y ( subtract y from both sides )
10 = y
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 3 = 13
solution is (13, 10 )
