Answer:
x=6
Step-by-step explanation:
Group Like Terms:
3x+x+30=10+2x+5x+2
Add similar elements 3x+x=4x:
4x+30=10+2x+5x+2
Add similar elements 2x+5x=7x:
4x+30=10+7x+2
Group like terms:
4x+30=7x+10+2
Add the numbers 10+2=12:
4x+30=7x+12
Subtract 30 from both sides:
4x+30-30=7x+12-30
Simplify:
4x=7x-18
Subtract 7x from both sides:
4x-7x=7x-18-7x
Simplify:
-3x=-18
Divide both sides by -3:
Simplify:
x=6
Hence, the correct answer is 6
Answer:
Step-by-step explanation:
Given
Required
Solve for d
Collect Like Terms
Take LCM
Make d the subject
Answer:
D. 1
Step-by-step explanation:
Hope it helps you in your learning process.
Answer:
2.25
Step-by-step explanation:
Put the ages in each list in order from smallest to largest.
Smith: 62, 63, 63, 64, 64, 65, 66, 66, 67, 68
Thompson: 75, 76, 76, 77, 78, 78, 79, 80, 80, 81
Find the mediant (number in the middle of the sorted list). There are 10 numbers in each list, so average the 5th and 6th numbers because they are nearest the middle.
Smith: (64 + 65)/2 = 64.5
Thompson: (78 + 78)/2 = 78
The difference between the medians is 78 - 64.5 = 13.5
The range (the difference between smallest and largest age) is 6 for each of the two lists.
13.5 = (multiplier)(6)
multiplier = 13.5 / 6 = 2.25
Explanation:
This might not be how you are supposed to do it but,
We can see the two triangles are similar because AA similarity.
We know that the sides are proportional so we can make:
We get,
Because sides can't be negative, x = 2/3
