Answer:
6 ---------> 2x : 48 = 3 : 12
9 ---------> 2 : 3 = 6 : x
16 --------> 12 : 15 = x : 20
24 -------> 4 : 7 = x : 42
Step-by-step explanation:
For this case we have to:
x: Let the variable representing the unknown number
We algebraically rewrite the given expression:
Eleven more than four times a number, is represented as:

The number less 7, is represented as:

Thus, the complete expression is:

We subtract x from both sides of the equation:

We subtract 11 from both sides of the equation:

Equal signs are added and the same sign is placed:

We divide by 3 on both sides of the equation:

Answer:

Answer:
4.67 m/s
Step-by-step explanation:
The equation of continuity for an incompressible fluid is A1v1 = A2v2 where A represents area and v is velocity of the fluid.
If we let the values with subscript 1 be those inside the hose and 2 be those at the nozzle then the question can be solved this way

Answer:
m < 
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
Given a quadratic equation in standard form, y = ax² + bx + c
Then the value of the discriminant determines the nature of the roots
• For 2 real roots then b² - 4ac > 0
Given
y = 3x² + 7x + m ← in standard form
with a = 3, b = 7 and c = m, then
7² - (4 × 3 × m) > 0
49 - 12m > 0 ( subtract 49 from both sides )
- 12m > - 49
Divide both sides by - 12, reversing the symbol as a result of dividing by a negative quantity.
m < 