Answer:
3x + 70 − 7x ≥ 18
Step 1: Simplify both sides of the inequality.
−4x + 70 ≥ 18
Step 2: Subtract 70 from both sides.
−4x + 70 − 70 ≥ 18 − 70
−4x ≥ −52
Step 3: Divide both sides by -4.
−4x
/−4 ≥ −52
/−4
x ≤ 13
Answer:
<em>x = 2.5</em>
Step-by-step explanation:
- 2x - ( - 5 - 4x ) = - 5 ( 2x - 7 )
- 2x + 5 + 4x = - 10x + 35
- 2x + 5 + 4x = - 10x + 35
- 2x + 4x + 10x = 35 - 5
12x = 30
<em>x = </em>
<em> = 2.5</em>
Check the answer:
<em>L.H.S.</em> = - 2(2.5) - [ - 5 - 4(2.5) ] = <em>10</em>
<em>R.H.S.</em> = - 5 [ 2(2.5) - 7 ] = <em>10</em>
Think of sea level as 0 on number line
-13 + 6 - 15
Answer:
x>11
Step-by-step explanation:
To simplify this inequality, we add 3 from both sides to get x-3+3>8+3. Since -3+3 cancels out to 0, we are left with x>8+3. 8+3=11 so x>11.
Hope this helps! If you need further explanation let me know :)
Answer:
Height of flagpole = 571 ft
Step-by-step explanation:
Given:
Angle of elevation to the top of the flagpole is 55° .
Distance from the eyes to the base of flagpole = 400 ft.
To find the height of the flagpole.
Solution:
We can draw the situation as a right triangle as shown below.
In triangle ABC.

∠C= 55°
To find the length AB (height of the flagpole).
Applying trigonometric ratio :

Plugging in values.

Multiplying both sides by 400.


∴ 
Height of flagpole = 571 ft