Answer:
x = 30
Step-by-step explanation:
Plug in 56 in place of y, then solve for x.
56 = 1.5x + 11
Subtract 11.
45 = 1.5x
Divide both sides by 1.5.
45/1.5 = x
30 = x
Answer:
A = 3
Step-by-step explanation:
Given
(5x² + 3x + 4) - (2x² + 5x - 1)
Remove the parenthesis from the first and distribute the second by - 1
= 5x² + 3x + 4 - 2x² - 5x + 1 ← collect like terms
= 3x² - 2x + 5
In the form Ax² + Bx + C
with A = 3
Answer:
6 minutes
Step-by-step explanation:
'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:
21000 = 3400t +600
You can solve this for t:
20400 = 3400t . . . . . subtract 600 from both sides
6 = t . . . . . . . . . . . . . . . divide both sides by 3400
The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.
The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:
The plane is at an altitude of 21000 feet 6 minutes after lift off.
Answer:
13.13
Step-by-step explanation:
39.39 ÷ 3
13.13
There is not a lot of work
Looking at it we can tell that 3 will go into 3 one time, and 3 will go into 9 three times because:
1 x 3 = 3
3 x 3 = 9
Answer:
Given:
- area = 18 cm²
- base = 6 cm
- height = (h + 1) cm
Substitute the given values into the equation and solve for h:
expand using distributive property of addition 
:
subtract 3 from both sides:
divide both sides by 3:
<u>To verify</u>:
Half of the base is 3 cm.
If h=5, then the height of the triangle is 6 cm.
Multiplying 3 by 6 is 18.
This matches the given area, so we can verify that h = 5.
