Answer: a. x=4 b. x=17.5
Step-by-step explanation:
a. 5x/2+1=11
subtract 1 from both sides : 5x/2=10
multiply both sides by 2 : 5x=20
divide both sides by 4 : x=4
b. 2x/7-3=2
add 3 to both sides : 2x/7=5
multiply both sides by 7 : 2x=35
divide both sides by 2 : x=17.5
3a plus 7. you group the whole numbers together and than the a's. so 3+4 is 7. 2a + a is 3a.
Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because
is the adjacent side of the right triangle
Finding
:
Answer:
The value of x = 2
Step-by-step explanation:
Given the equation

- Expand 12(x-2) = 12x - 24
- Expand 1/2(x+6) = 1/2x + 3
so the equation becomes

simplifying


multiplying both sides by 2

subtracting x from both sides


divide both sides by 29

simplifying

Therefore, the value of x = 2
<span>base and color are in a ratio of 32:1, where color is "x"
924-x/x=32/1
924-x=32x</span><span>33x=924
x = 28 (gallons of color)</span>