19. What you know is that HK+KJ = HJ. If HJ = 25, the sum of the two equations will equal this length.
x-5+5x-12=25 First, combine your like terms. You will end up with 6x-17=25. Add the opposite of -17 to both sides. 6x = 42 Divide both sides by 6. x = 7. Substitute x=7 for your original expression of x-5, 7-5=2
20. (5x-6)/2 = x+6 Multiply each side by 2. 5x-6 = 2x +12 Add 6 to each side 5x = 2x + 18 then subtract 2x from both sides as well. 3x = 18 Finally divide each side by 3. x=6 To find the length of the remaining segment, substitute this value into (5x-6)/2. This results in each side equaling a distance of 12.
21. On the number line, the distance of FG is 16 units. If the distance of FP is 1/4 of FG, you would simply divide 16 by 4. The distance of FP is 4 and P lies at 8 on your number line.
23. The distance of SP is x+4 and ST=4x. Since P is the midpoint, you only have one half of the line as x+4, if you were to double it, you would find that 2x+8 = 4x. Balance and solve for x, subtract 2x from both sides. 8=2x Divide each side by 4, 8/4 = 4x/4 resulting in x=2. If ST equals 4x, substitute and solve, 4(2) = 8
Answer:
x=sqrt{22}
Step-by-step explanation:
Answer:
<em>x </em>equals 3.6.
Step-by-step explanation:
A way to solve this equation is to preform the inverse operations on both sides.
1. Add 19 to -19 and 5: 5<em>x </em>+ 6 - 19 + 19 = 5 + 19 ---> 5x + 6 = 24
2. Subtract 6 from 6 and 5: 5x + 6 - 6 = 24 - 6 ---> 5x = 18
3. Divide 5x and 18 by 5: 5x / 5 = 18 / 5 ---> x = 3.6
4. 3.6 is the answer.
To prove it, substitute x with 3.6 in the equation: 5 · 3.6 + 6 - 19 = 5
I hope this made sense and helped you a lot! :)
Answer:
10 + 5
Step-by-step explanation:
If you are subtracting a negative then it become adding a positive. A way to remember this is because it has matching socks.
Answer:
The unit rate of 297 words for 5.5 minutes is, 54 words per minutes
hope this helps :-)