Answer:
Step-by-step explanation:
a1 = 3(1) - 7 = - 4
a2 = 3(2) - 7 = -1
d = a2 - a1
d = -1 - (-4)
d = -1 + 4
d = 3
a60 = 3(60) - 7
a60 = 180 - 7
a60 = 173
n = 60
Sum = (a1 + a60) * n / 2
Sum = (-4 + 173) * 60/2
Sum = (169)*30
Sum = 5070
==================
Just to check, we'll use the second summation formula
d = 3
n = 60
a1 = -4
Sum = (2*a1 + (n - 1)*d )*n / 2
Sum = (2*(-4) + (60 -1)*3)* 60/2
Sum = (-8 + 59*3) * 30
Sum = (177 - 8)*30
Sum = 169 * 30
Sum = 5070
Same answer.
Answer:
Length: 15 feet Width: 105 feet
Step-by-step explanation:
set up a proportion of x over 4 and x over 12 fill in the length or width that you do know. Then cross multiply and solve the simple equation you get: for example) 60 = 4x. Just divide both sides by 4 to get x by itself.
Hope this answered your question!
Answer:
x = 3, y = 3
Step-by-step explanation:
x = -5x -18
5x + 18 = -x
6x + 18 = 0
6x = 18
x = 3
Answer:you multiply them? 0.205x0.234
Step-by-step explanation:
Answer:
3515
Step-by-step explanation:
Data provided in the question:
Dimension of the container = 1.5 m x 18 cm x 28 cm
volume of the container = 150 cm × 18 cm × 28 cm = 75600 cm³
also,
1 L = 1000 cm³
thus,
volume of the container = = 75.6 L
Volume of the U.S pint = 0.4732 L
therefore,
Number of pint in the container =
=
= 159.76
Also it is given that
Number of Pacific oysters per pint = 10
Number of Atlantic oysters per pint = 32
Thus,
for 159.76 pint
Pacific oysters in container = 10 × 159.76 = 1597.6 ≈ 1598
Atlantic oysters in the container = 32 × 159.76 = 5112.42 ≈ 5113
hence,
order short of your anticipated count = 5113 - 1598 = 3515