This is a geometric sequence with first term a1 = -4 and common ratio r = 4
so nth term = a1* r^(n-1)
= -4 *4^(n-1)
Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60
Answer:
This means c=100. The factored form is 
.
Step-by-step explanation:
A perfect square is a trinomial that factors into the form 
. To find the value of C to finish the perfect square divide 20 by 2 and square it.
20/2 = 10
10*10=100
This means c=100. The factored form is .
Answer:
(Choice C) 24+12R ≤100
$56
Step-by-step explanation:
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total. Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders.
1)
Which inequality describes this scenario?
Choose 1 answer:
(Choice A) 12+ 24R ≤ 100
(Choice B) 12+24R ≥ 100
(Choice C) 24+12R ≤100
(Choice D) 24+12 ≥100
2)
What is the least amount of additional money Sofia can spend to get the sushi they need?
ans) ___ dollars
please solve fast !!!! thank you from advance :)
The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders
Sofia has ordered 24 pieces
Sofia needs 100 pieces
sushi comes in rolls
12 pieces per roll
= 12R
24 + 12R ≤ 100
(Choice C) 24+12R ≤100
B.
24 + 12R ≤ 100
12R ≤ 100 - 24
12R ≤ 76
R ≤ 76 / 12
R ≤ 6.33
Approximately 7 rolls
Sofia will order 7 more rolls
Each roll cost $8
R ≤ 7
7 × 8
= $56
