Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x
Answer:
9
Step-by-step explanation:
Answer:
2667 dump truck loads
Step-by-step explanation:
To solve this exercise, we must resort to a proportion rule.
Knowing what happened in the first place, how much was needed, a direct proportion will be made with the other accident, be as follows.
Landslide Dump Truck Loads
3 yd ^ 3 -------------------------------------------> 200
40 yd ^ 3 -------------------------------------------> X
X = (40 * 200) / 3
X = 2666.6, that is, for 40 cubic yards of sliding, approximately 2667 dump truck loads are needed.
1) To work out the result after a percentage is applied to a number, you work out 'the percentage number/100' and write the answer of this calculation down. 2) You THEN multiply this calculated number (called the 'percentage multiplier') by your orginal number (called the 'principal'). 3) The result of this calculation gives you the answer of what happens when your orginal number is multiplied by a certain percentage. 4) Thus, for a 2.99% increase work out: " (100+2.99)/100 "
The answer is 1.029 - SO THIS is your percentage multiplier. 5) Your earn 2.99% interest each year for 5 years. Thus you multiply your principal (10,500) by the calculated percentage multiplier (1.029), BUT you you multiply the principal by this multiplier 5 TIMES! 6) So, the calulation is:10,500 × (1.029^5). 7) This EQUALS $12,113.403198) Rounded to the nearest cent, the final amount in the account AFTER 5 YEARS = $12,113.40 8) THE ANSWER IS THUS: $12,113.40
Answer: a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression
Step-by-step explanation:
for example
10 x 10 = 100
to simplify this you put a small 2 on the top right corner of the number 10
