Answer:
a) 1.
Step-by-step explanation:
Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.
Luego, el conjunto de los cinco enteros positivos se puede expresar como
A = {a; a+1; a+2; a+3; a+4}
Dada la condición del problema, se debe cumplir que
a + (a+1) + (a+2) = (a+3) + (a+4)
⇒ 3a + 3 = 2a + 7
Resolviendo la ecuación resulta
a = 4
Luego, el conjunto A nos resulta
A = {4; 5; 6; 7; 8}
Puede concluirse que sólo un conjunto cumple con esta condición.
Answer:
3
Step-by-step explanation:
so you set up an equation because the sides are equal
10+x=4x+1
then you solve
10=3x+1
9=3x
x=3
Given:
She is required to read a total =
hours a week.
Monday she read
hours.
Tuesday she read
of an hour.
Thursday she read 3 hours.
To find:
The total hours does she still need to read in order to get full credit.
Solution:
Total time =
hours a week.
Total time she already read
hours
hours
hours
hours
hours
Now,
Remaining time = Total time - Total time she already read






Therefore, the required time is
hours.
Answer:
1176π m³
Step-by-step explanation:
The formula for the volume of a cylinder is:
V = πr²h
Let's substitute the values given into this equation:
V = πr²h
V = (π)(14²)(6)
Solve:
V = (π)(14²)(6)
V = (π)(196)(6)
V = 1,176π
Therefore, the volume of the cylinder is 1176π cubic meters.