Answer:
First one: x = all real numbers
Second one: x = 0
Step-by-step explanation:
for the first one
given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations
step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )
2 * 4x = 8x
5 * 2 = 10
now we have 8x + 10 = 8x + 10
step 2 subtract 8x from each side
8x - 8x = 0
8x - 8x = 0
now we have 10 = 10
subtract 10 from each side
10 - 10 = 0
10 - 10 = 0
we're left with 0 = 0 meaning that all real numbers are solutions
For the second one
given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations
step 1 distribute the 2 to what is in the parenthesis (x - 4)
2 *x = 2x
2 * -4 = -8
now we have 3x - 8 = 2x - 8
step 2 add 8 to each side
-8 + 8 = 0
-8 + 8 = 0
now we have 2x = 3x
step 3 subtract 2x from each side
3x - 2x = x
2x - 2x = 0
we're left with x = 0
Answer:
x = 10 and y = 2
Step-by-step explanation:
multiply first equation by 5 and 2nd equation by 3 then subtract equation 1 and 2, we get,
10x+15y= 130
9x+15y=120
( -) (-) (-)
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x= 10
substituting the value of x in equation 1 we get
2x + 3y = 26
2*10 + 3y = 26
3y = 26-20
y =6/3
y= 2.i hope this helps
Answer:
2k-58
Step-by-step explanation:
-5(k+6) + 7(k-4)
-5k-30+7k-28
2k-48
Violent crimes include rap.e, robbery, assault, and homicide. The following is a summary of the violent-crime rate (violent crimes per 100,000 population) for all states of a country in a certain year.
Upper Q 1 equals = 272.8,
Upper Q 2 equals = 388.5,
Upper Q 3 equals = 529.1
The violent-crime rate in a certain state of the country in that year was 1,496.
Would this be an outlier?
The lower fence is ______ crimes per 100,000 population.
The upper fence is _______ crimes per 100,000 population.
(Round to two decimal places as needed.)
Answer:
It wil take approximately 20 years 7 months and 29 days for the account to go from $45 to $150, or 21 years rounded to the nearest year.
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