Answer:
x= 44 ounces y = 66 ounces
Step-by-step explanation:
Distribution would be an increase to find 80% salt.
Where we use 4/5 = 80 but use here 4/5.
We find 19/20 but just say 95 for solution B =
Let x = the number of ounces of Solution A
Let y = the number of ounces of Solution B
x + y = 110 y = 110 - x
(70x + 95y) = 4/5 x 110
70x + 95y = 88
70x + 95 y = 88
70x + 95 (88 - x) = 8800 make units equal or for start convert decimalization = same units as 2nd multiplied value.
70x + 8360 - 88x = 8800
-10x - 8360 - 8800 = y
-10x = 440
x = 44 ounces
y = 110- 44
y = 66 ounces
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
Answer:
56.52mm
Step-by-step explanation:
Answer:
x=7/4
Step-by-step explanation:
13x-17x+7=0
-4x+7=0
-4x+7-7=0-7
-4x=-7
-4x/-4=-7/-4
x=7/4
Answer:
x = 7
Step-by-step explanation:
Pytago:
