Answer:
52
Step-by-step explanation: also good morning
Consecutive prime numbers are going to be close to one another in the number line, and therefore not very different from the square of the number midway between them. We can thus try to locate the prime numbers in question by looking between the square root of 1000 (31.6) and 1500 (38.7). <span>In this immediate vicinity, the only prime numbers are 31 and 37, which are consecutive - no other prime numbers lie between them. The product of 31 and 37 is 1147, which is between 1000 and 1500. This meets the description above, so Martiza's PIN must be 1147.
</span>
Answer:
X=9
Step-by-step explanation:
3.5(7−x)+32=106−1.5(4x+18)
Step 1: Simplify both sides of the equation.
3.5(7−x)+32=106−1.5(4x+18)
(3.5)(7)+(3.5)(−x)+32=106+(−1.5)(4x)+(−1.5)(18)(Distribute)
24.5+−3.5x+32=106+−6x+−27
(−3.5x)+(24.5+32)=(−6x)+(106+−27)(Combine Like Terms)
−3.5x+56.5=−6x+79
−3.5x+56.5=−6x+79
Step 2: Add 6x to both sides.
−3.5x+56.5+6x=−6x+79+6x
2.5x+56.5=79
Step 3: Subtract 56.5 from both sides.
2.5x+56.5−56.5=79−56.5
2.5x=22.5
Step 4: Divide both sides by 2.5.
2.5x
2.5
=
22.5
2.5
x=9
Answer:
-1/2
Step-by-step explanation:
1. M(x)=12x, with domain x < or =30, x a natural number {1,2,3,...30}
2. T(y)=12*30+15y
T(y)=360+15y is the function which gives the wage after 30 hours of regular time and y of overtime.
3. T(y)=510
360+15y=510
15y=510-360=150
y=10 hours of overtime (and 30 of regular time.
