Which shapes have the same volume as the given rectangular prism?base area = 50 cm^2​

Answer:

Aproximadamente 428 N

Step-by-step explanation:

Peso = 1,500 * 9.8 = 14,700 N

Densidad = Masa ÷ Volumen

1,030 = 1,500 ÷ V

V = 1,500 ÷ 1,030 = 1.46 m^3.

La fuerza de flotación = Densidad * g * V

La fuerza de flotación = 1,000 * 9.8 * (1,500 ÷ 1,030)

La fuerza de flotación = 9,800 * (1,500 ÷ 1,030) = 14,272 N.

La fuerza neta = 14,700 – [(9,800 * (1,500 ÷ 1,030)]

Answer:

a) The first inequality is 100 + 55x > 150 + 51x;

b) The final inequality results in x > 12.5

c) Sal's mother will need to use the second phone for at least 13 months.

Step-by-step explanation:

a) Let x represent the number of months.

1. The first phone is priced at $100, with a monthly fee of $55 for unlimited use, leading to a total cost of $(100 + 55x) for x months.

2. The second phone costs $150 with a monthly fee of $51 for unlimited use, resulting in a total of $(150 + 51x) for x months.

3. For the second phone to be cheaper, we set up the inequality:

150 + 51x < 100 + 55x

which simplifies to

100 + 55x > 150 + 51x

b) Now solve this:

55x - 51x > 150 - 100

4x > 50

so x > 12.5

c) This means Sal's mother has to retain the second phone for at least 13 months (since x > 12.5).

Answer:

According to my cupcake recipe, it yields $12$ cupcakes and calls for $1\frac{1}{2}$ sticks of butter. I can only purchase whole sticks of butter.

Consequently, a single whole stick of butter will suffice to prepare $100$ cupcakes.