One mile equals 5,280 feet, therefore you would multiply 12 x 5,280 which is 63360 feet per hour.
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Answer:</h3>
<u>By angle bisector property</u>,
- 11x + 23 = 8x + 35
- 11x - 8x = 35 - 23
- 3x = 12
- x = 4°
So, <u>m∠ABD</u> = 8x + 35
<u>m∠CBD</u> = 11x + 23
<u>m∠ABC</u> = 67° + 67° = 134°
Given:
Seven times the smaller of two consecutive even integers is the same as -300 minus 4 times the larger integer.
To find:
The integers
.
Solution:
Let the smaller even integer be x.
So, larger even integer is x+2 because they are consecutive even integers.
Seven times the smaller integer = 7x
-300 minus 4 times the larger integer = -300-4(x+2)
Now,
Divide both sides by 11.
So, the smaller even integer is -28.
So, the larger even integer is -26.
You have to distribute the parentheses first. Since there is a negative sign in front of the parentheses, it counts as a negative 1. After you distribute you should get: -5+6x=20x+12, but that is not your final answer. After you add like terms: 17x=-17. Divide 17 on both sides: x=-1. X=-1 is your final answer.
Answer:
x = 7
Step-by-step explanation:
To solve:
Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.
Next distribute -2 among everything in the second parentheses. You'll get
-2x - 2.
<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>
Now combine like terms:
5x - 2x = 3x and -15 - 2 = - 17
<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>
Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.
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Last, don't forget to check your work.
You can plug in 7 for x to get:
5(7 - 3) = 20
5 × 7 = 35
5 × -3 = -15
35 - 15 = 20
-2(7 + 1) = -16
-2 × 7 = -14
-2 × 1 = - 2
-14 -2 = -16
<u>20 - 16 = 4</u>
⬆⬆⬆Therefore this is correct.
Sorry this is a bit lengthy, but hope this helps :)
