Answer:

Step-by-step explanation:
7x-26<-5(2-3x)
first write out the equation
7x-26<-10 +15x
then solve the -5(2-3x)
by multiplying -5 by 2 and -5 by 3x which will give the answer -10 and 15x
7x-15x<-10+26
Now put the numbers with X first and since we moved the (+15x) into the otherside we change its sign to (-15x)
and because we put the (-26) into the otherside we do the same thing and change it into (+26)
-8x<16
Now we combine the same numbers so 7x-15x and -10+26
Next we divide both sides by (-8)
so (-8x÷-8) and (16÷-8)
and because we divided with a negative number (-8)
and we have an inequality( < ) we flip the sign from smaller than to greater than.
and so the final answer is x>2
or x is greater than 2
Answer:
The answer is:
The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .
Step-by-step explanation:
The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .
Look at the attached picture of a spinner:
We know that the angle formed by a straight line is equal to 180°
So, in order to map label g to label B we have to set the needle of the spinner straight. Hence the angle formed by the needle is 180° ....
Answer:

Step-by-step explanation:
we know that
The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5
3(x-5)
The phrase "the product of six and x" means the number 6 multiplied by x
6x
therefore
The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x

Answer:
(a is size of side of triangle)
the perimeter of equilateral triangle =3a
or, 36=3a
Thus, a = 13cm
area of equilateral triangle
=√3/4*(a^2 )
=√3/4*(13^2)
=73cm^2
x = population after 3 years
y = starting population
r = percentage
n = number of years
x = y *(1+r)^n
x = 8200 * (1 +0.03)^3
x = 8960.36
so about 8960 people in 3 years