Answer:
475 km
Step-by-step explanation:
(40 + 45 + 50 + 35 + 55 km + 50 *5 km)
Well, let's first solve each equation:
1.) -4x + 6 - 3x = 12 - 2x - 3x
To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):
-7x + 6 = 12 - 5x
Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:
-7x + 6 = 12 - 5x
+5x +5x
_____________
-2x + 6 = 12
Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:
-2x + 6 = 12
-6 -6
____________
-2x = 6
Finally, divide by -2 on each side, to find out what the value of 'x' is:
-2x = 6
÷-2 ÷-2
________
x = -3
So, the answer is not 'A.'
_________________________________________
Now, we test out the rest of the equations, the exact same way:
2.) 4x + 6 + 3x = 12 + 2x + 3x
Combine your like-terms, on each side of the equal sign:
7x + 6 = 12 + 5x
Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:
7x + 6 = 12 + 5x
-5x -5x
______________
2x + 6 = 12
Next, subtract 6 from both sides:
2x + 6 = 12
-6 -6
__________
2x = 6
Finally, divide by 2, on both sides:
2x = 6
÷2 ÷2
__________
x = 3
So, the answer is 'B.'
_________________________________________
3.) 4x + 6 - 3x = 12 - 2x - 3x
Again, we combine the like-terms, on both sides of the equal sign:
x + 6 = 12 - 5x
Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:
x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12
Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:
6x + 6 = 12
- 6 - 6
_____________
6x = 6
Now, divide by 6, on both sides:
6x = 6
÷ 6 ÷ 6
_____________
x = 1
So, the answer is not 'C.'
_________________________________________
4.) 4x + 6 - 3x = 12x + 2x + 3x
First, we combine the like-terms:
x + 6 = 17x
Next, we get both terms, with the variable, 'x,' to the same side:
x + 6 = 17x
-x -x
_____________
6 = 16x
Now, divide by 16, on both sides:
X = 3/8
So, 'D,' is not the answer.
_______________________
The answer is, 'B.'
I hope this helps!
The building is about 70.95 feet tall.
The building and the laser range will form a right triangle. You can use the Pythagorean Theorem to find the height of the building.
112^2 + b^2 = 131^2
b = 67.95
However, don't forget to add on 3 because that is the height of the laser range.
Answer: 5.0526
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 38 on the left side and the dividend 192 on the right side like this:
3 8 ⟌ 1 9 2
Step 2:
The divisor (38) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
3 8 ⟌ 1 9 2
Step 3:
Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer below the dividend.
0
3 8 ⟌ 1 9 2
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
3 8 ⟌ 1 9 2
- 0
1
Step 5:
Move down the 2nd digit of the dividend (9) like this:
0
3 8 ⟌ 1 9 2
- 0
1 9
Step 6:
The divisor (38) goes into the bottom number (19), 0 time(s). Therefore, put 0 on top:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
Step 7:
Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer at the bottom:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
0
Step 8:
Subtract the result in the previous step from the number written above it. (19 - 0 = 19) and write the answer at the bottom.
0 0
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9
Step 9:
Move down the last digit of the dividend (2) like this:
0 0
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
Step 10:
The divisor (38) goes into the bottom number (192), 5 time(s). Therefore put 5 on top:
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
Step 11:
Multiply the divisor by the result in the previous step (38 x 5 = 190) and write the answer at the bottom:
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
1 9 0
Step 12:
Subtract the result in the previous step from the number written above it. (192 - 190 = 2) and write the answer at the bottom.
0 0 5
3 8 ⟌ 1 9 2
- 0
1 9
- 0
1 9 2
- 1 9 0
2
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 192 divided by 38 calculated using Long Division is: 5.0526
