Use arithmetic sequence in order to get to answer:
a_n= a₁ rⁿ⁻¹
r is a common ratio, a₁ is the first term and a_n is the summation.
a_n= 1 (2/1)¹⁵⁻¹= 16384 pennies
Consider a system of inequalities
Consider inequality in two variable
1. a x + b y ≤ c
2 . p x + q y ≥ r 3. x ≥ 0 4. y≥ 0
By drawing the graph ,You can find the region bounded by inequality 1, then reason bounded by inequality 2 , and then you can find the region common to both the inequality.
Consider the given inequality
x + y ≤2
x + y ≥1,
x≥ 0, y≥0.
You can find the solution below.
So, the Statement, To solve a system of inequalities graphically, you just need to graph each inequality and see which points are in the overlap of the graphs is True.
Answer:
60 pieces
Step-by-step explanation:
The rate of pieces to packages is 15/1.
Multiply this rate by 4 to get the answer.
15 * 4 = 60
Answer:
Number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
Let the number of small boxes = s
And the number of large boxes = l
Weight of small box = 25 pound
Weight of the large box = 50 pounds
Total weight of the shipment = 925 pounds
Therefore, equation for the weight of shipment will be,
25s + 50l = 925
s + 2l = 37 ----- (1)
Total number of boxes shipped = 22 boxes
Therefore, equation will be,
s + l = 22 ------(2)
Subtract equation (2) from equation (1)
(s + 2l) - (s + l) = 37 -22
l = 15
From equation (2)
s + 15 = 22
s = 7
Therefore, number of small boxes shipped = 7
Number of large boxes shipped = 15
Step-by-step explanation:
<h3 /><h3 /><h3>
<u>Given : 1/16 ÷ 1/81 + - 1/8To find: multiplicative inverseSolution:a multiplicative inverse is basically a reciprocalMultiplicative inverse of number is the number which if multiplied by original number result in 11/16 ÷ 1/81 + -1/81/16 ÷ 1/81 = 81/16+ - 1/8 = - 1/881/16 - 1/8= 81/16 - 2/16= (81 - 2)/16= 79/16Multiplicative inverse = 16/79</u></h3>