A rectangle prism has a square base of 12 inches and a height of 7 inches. What is the volume of the prism?

According to the scores on the last math test, 80%, or 20. of the students in the class received an A Find the number of student

Kitty [74]

Answer:

25 students

Step-by-step explanation:

.8x = 20

x = 25 students

4 0

3 years ago

3 over 8 plus 2 over 3 plus 1 over 3

wariber [46]

3 over 8 plus 2 over 3 plus 1 over 3 = 11 over 8 or 1.375

4 0

3 years ago

Read 2 more answers

Manuel hizo un viaje en el coche, en el cual consumió 20 litros de gasolina. El trayecto lo hizo en dos partes: en la primera, c

Alona [7]

Responder:

24 litros; 16 litros; 4 litros

Explicación paso a paso:

Dado que:

Gasolina consumida = 20 litros

Sea la cantidad de gasolina en el tanque = x

Primera parte del viaje = 2/3 de x

Segunda parte del viaje = 1/2 de (x - 2x / 3)

Cantidad de gasolina en el tanque:

2x / 3 + 1/2 (x - 2x / 3) = 20

Solución para x

2x / 3 + x / 2 - x / 3 = 20

(4x + 3x - 2x) / 6 = 20

5 veces / 6 = 20

5 veces = 20 * 6

5 veces = 120

x = 120/5

x = 24

Cantidad de gasolina en el tanque = 24 litros

Litros consumidos en cada etapa:

Primera parte = 2/3 de 24 = 48/3 = 16 litros

2a parte = 0.5 de (24 - 16) = 0.5 * 8 = 4 litros

3 0

3 years ago

Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan

Elza [17]

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

Step-by-step explanation:

The given is,

Trash can has a height of 24.90 inches

Diameter of 15.50 inches

Step:1

Formula to calculate the volume of cylinder,

$Volume, V = \pi r^{2} h$ .............................(1)

Where, r - radius of cylinder

h - Height of cylinder

From given,

h - 24.90 inches

D - 15.50 inches

Diameter to radius conversion,

$Radius, r = \frac{d}{2}$

$= \frac{15.50}{2}$

r = 7.75 inches

Equation (1) becomes,

$V = \pi (7.75^{2} )(24.90)$

$= \pi (60.0625)(24.90)$

$=\pi (1495.556)$

$=(3.1416) (1495.556)$ (∵ $\pi = 3.1416$ )

= 4698.42

≅ 4698 cubic inches

Volume of trash can, V = 4698 cubic inches

Result:

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

6 0

3 years ago

When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected

jasenka [17]

Answer:

A. Initially, there were 12 deer.

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. After 15 years, there will be 410 deer.

D. The deer population incresed by 30 specimens.

Step-by-step explanation:

$N=\frac{12.36}{0.03+0.55^t}$

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

$N=\frac{12.36}{0.33+0.55^0}$

$N=\frac{12.36}{0.03+1} =\frac{12.36}{1.03} = 12$

A. Initially, there were 12 deer.

B. $N(10)=\frac{12.36}{0.03 + 0.55^t} =\frac{12.36}{0.03 + 0.0025}=\frac{12.36}{y}=380$

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. $N(15)=\frac{12.36}{0.03+0.55^15}=\frac{12.36}{0.03 + 0.00013}=\frac{12.36}{0.03013}= 410$

C. After 15 years, there will be 410 deer.

D. The variation on the amount of deer from the 10th year to the 15th year is given by the next expression:

ΔN=N(15)-N(10)

ΔN=410 deer - 380 deer

ΔN= 30 deer.

D. The deer population incresed by 30 specimens.

8 0

3 years ago