Jeff uses the expression 2(3b + 1) to determine how many books (b) he needs to order for his store. If b = 12, how many books sh
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3(2m+12) -4m = 20 -3(3m+5)
Step 1. Distribute 3 to (2m+12) and -3 to (3m+5)
Distribution property:
When you are distributing, you multiply the outside number by the numbers inside. For example,
-1(4-2)
-1 times 4, -1 times -2
-4, 2 (negative times negative =positive)
Then you would get
-4+2. You do not distribute with multiplication and division. So then we would do this with our numbers.
6m+36 -4m = 20 -9m-15
______
Step 2. Simplify by adding like terms.
Like terms:
Terms are separated by operation symbols (+,-,*,➗). Like terms are terms with the same variable next to it. 5a and 6a are like terms. Terms with no variables at all are also like terms. 5 and 6 are like terms. 8a and 7 are not like terms. 9a and 9b are not like terms.
6m+-4m= 2m. 20+(-15)=5
_____
2m+36=5-9m
Step 3. Add 9m to both sides
11m+36=5
____
Step 4. Subtract 36 from both sides
11m=-31
____
Step 5. Divide by 11
m=-31/11
If you can please provide brainliest. I took 30 minutes doing this.
Step 1. Distribute 3 to (2m+12) and -3 to (3m+5)
Distribution property:
When you are distributing, you multiply the outside number by the numbers inside. For example,
-1(4-2)
-1 times 4, -1 times -2
-4, 2 (negative times negative =positive)
Then you would get
-4+2. You do not distribute with multiplication and division. So then we would do this with our numbers.
6m+36 -4m = 20 -9m-15
______
Step 2. Simplify by adding like terms.
Like terms:
Terms are separated by operation symbols (+,-,*,➗). Like terms are terms with the same variable next to it. 5a and 6a are like terms. Terms with no variables at all are also like terms. 5 and 6 are like terms. 8a and 7 are not like terms. 9a and 9b are not like terms.
6m+-4m= 2m. 20+(-15)=5
_____
2m+36=5-9m
Step 3. Add 9m to both sides
11m+36=5
____
Step 4. Subtract 36 from both sides
11m=-31
____
Step 5. Divide by 11
m=-31/11
If you can please provide brainliest. I took 30 minutes doing this.
<h3>Answer: 14 feet</h3>
=====================================================
Explanation:
Check out the diagrams below.
We'll start with the left diagram (marked "before") which is a right triangle with the horizontal leg of 25 feet and hypotenuse 65 feet.
Use the pythagorean theorem to find the vertical side x.
a^2 + b^2 = c^2
25^2 + x^2 = 65^2
625 + x^2 = 4225
x^2 = 4225 - 625
x^2 = 3600
x = sqrt(3600)
x = 60
The top of the ladder is 60 feet high when placed against the wall in this configuration.
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If the upper end is moved down 8 feet, then x-8 = 60-8 = 52 feet is the new height of the ladder. Refer to the "after" in the diagram below.
Like earlier, we'll use the pythagorean theorem to find the missing side.
a^2 + b^2 = c^2
y^2 + 52^2 = 65^2
y^2 + 2704 = 4225
y^2 = 4225 - 2704
y^2 = 1521
y = sqrt(1521)
y = 39
The horizontal distance from the ladder base to the wall is now 39 feet.
Earlier it was 25 feet, so it has increased by 39-25 = 14 feet.