Answer:
Option c. 81/2
Step-by-step explanation:
Fifth term: a5=?
First term: a1=8
Common ratio: r=3/2
an=a1*r^(n-1)
with n=5
a5=a1*r^(5-1)
a5=a1*r^4
Replacing the known values:
a5=8*(3/2)^4
a5=8*(3)^4/(2)^4
a5=8*81/16
Simplifying: Dividing the numerator and denominator by 8:
a5=(8*81/8)/(16/8)
a5=81/2
Answer: Option c. 81/2
By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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Answer:
y = -3x + 2
Explanation:
Do the rise over run equation to find slope
Slope = 3
Plug in slope to equation and also choose one of the coordinate points to plug in x and y so you can find b
Plug in all of this to get final y=mx+b form
Answer:
1/2
(This is assuming all sectors are congruent)
Step-by-step explanation:
Well the other two colors that aren't red or green is blue and yellow.
There are 2 blues and 2 yellows.
There are 8 sections altogether.
We are asked to find the probability that our spinner will land on blue or yellow so we do (blue+yellow)/all = (2+2)/8=4/8=1/2.
This probability was assuming all sectors were congruent sectors.
Answer:
330,000
Step-by-step explanation:
if the underlined digit is 9, then the six rounds the 9 up to a 10, making the rounded number amount to 330,000.
