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:
0.4 sec
Step-by-step explanation:
Remember that
1 mile=5,280 feet
1 foot=12 inches
1 hour=3,600 seconds
Let
s -----> the speed in ft/sec
d ----> the distance in ft
t -----> the time in sec
s=d/t
Solve for t
t=d/s
step 1
Convert miles/hour to ft/sec
105 mi/h=105(5,280/3,600)=154 ft/sec
Convert 60 ft 6 in to ft
60 ft 6 in=60+(6/12)=60.5 ft
step 2
Find the time
t=d/s
we have
s=154 ft/sec
d=60.5 ft
substitute
t=60.5/154
t=0.39 sec
Round to the nearest tenth
t=0.4 sec
Answer:
The answer should be 960
Step-by-step explanation:
110+130+150+170+190+210
Answer:
111 square units.
Step-by-step explanation:
Find the overall rectangle's area. 8*15 = 120.
Find the missing triangle's area (which is half of a rectangle with hthe same dimensions). The dimensions (15 - 9 = 6 and 8 - 5 = 3). 6*3 = 18, divide by half to find the triangle's area. The missing triangle's area is 9 square units.
Subtract the missing triangle from the overal rectangle. 120 - 9 = 111 square units.
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