Answer:
A.) in 6 hours Rovan can make 288 tarts
B. at this rate it'll take Rovan about 2 and a half hours to make 120 tarts
Step-by-step explanation:
so if Rovan can make 48 tarts an 1 hour take 48 and multiply it by the hours to find out how many tarts he can make
48 x 1 =48
48 x 2 =96
48 x 3 =144 .....
48 x 6 =288
A.) in 6 hours Rovan can make 288 tarts
B. at this rate it'll take Rovan about 2 and a half hours to make 120 tarts
Answer:
158 natural numbers
158 natural numbers from 78 to 234, and 699 whole numbers from 24 to 721. Step-by-step explanation: Natural numbers are positive integers (whole numbers), so all numbers from the range of 78 to 234 would be included, including 78 and 234 itself.
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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:
4x+12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since 
and 
are equal, we can set them equal to each other:
Substitute 
to solve for :
