Answer:x = 3
Step-by-step explanation:
2(5x-7)=2x+10
distribute 2(5x-7)
=2*5x - 2*7
∨ ∨
10x - 14
10x - 14 = 2x + 10
add 14 to both sides
10x-14=2x+10
+14 +14
simplify
10x=2x+24
subtract 2x to both sides
10x=2x+24
-2x -2x
simplify
8x=24
divide both sides by 8
8x=24
÷8x ÷ 8x
x = 3
Answer:
This is a complete lesson with instruction & exercises for 5th grade about multiplying decimals by decimals. The interpretation for multiplying a decimal by a decimal is to think of it as taking a fractional part of a decimal number (the symbol × translates to "of"). The lesson compares multiplication by a decimal to scaling & shrinking a stick. Lastly, it shows the common shortcut to decimal multiplication (multiply as if there were no decimal points; the answer has as many decimals as the factors have in total.)
In the video below, I explain the rule for multiplying decimals (put as many decimal digits in the answer as there are in the factors.) I explain where this rule comes from, using fraction multiplication. The lesson continues below the video.
Answer: 13%
Step-by-step explanation:
The formula to find the simple interest is given by :-
, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).
Given : P = $19,100 , I=$9932.00 and t= 4 years
Substitute all the above values in the formula , we get

In percent , 
Hence, the rate of interest = 13%
Answer:
2 m/s
Step-by-step explanation:
Given the graph of the baseball thrown into air.
John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.
The height of the baseball (in metres) is modeled by the function graph with respect to time.
To find:
The average rate of change of height of the ball from the point the ball is thrown to the maximum height.
Solution:
Here, the average rate of change can be found by dividing the distance between the two points with the change in time.
The starting time is 0 seconds.
The starting height is 3 metres.
The ending time is 2 seconds i.e. at which the ball reaches the maximum height.
The height is 7 metres.
Therefore, the average rate of change is:
