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gayaneshka [121]
3 years ago
5

????????????????????

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0
Greetings!

Substitute:
x+y=1000 \\ x=1000-y
Now we can input this into the other equation so, we only have one variable.

Solve for y.
0.05(1000-y)+0.06y=57
Distribute the parenthesis.
50-0.05y+0.06y=57
Combine Like Terms.
50-0.01y=57
Add -50 to both sides.
(50-0.01y)+(-50)=(57)+(-50)
Simplify.
0.01y=7
Divide both sides by 0.01.
(0.01y)/0.01=(7)/0.01
Simplify.
y=700

Input this value into the other equation.
x+700=1000
Add -700 to both sides.
(x+700)+(-700)=(1000)+(-700)
Simplify.
x=300

The answer would be 300,700

Hope this helps.
-Benjamin
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3 years ago
The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6\text { m}6 m6, space, m lon
iren [92.7K]

First aquarium dimensions:

Length = 6 m.

Width = 4 m and

Height = 2 meter.

Second aquarium dimensions:

Length = 8 m.

Width = 9 m and

Height = 3 meter.

We know formula for volume of a cuboidal box = Length*Width*Height.

Plugging values of length, width and height of first aquarium in formula of volume. We get

V1 = 6*4*2 = 48 m^3.

Plugging values of length, width and height of second aquarium in formula of volume. We get

V2 = 8*9*3 = 216 m^3.

In order to find the total cubic meters of space do the sea turtles have in their habitat, we need to add both volumes.

Therefore, Total voulme of both aquarium = V1 +V2 = 48+216 = 264 m^3.

Therefore, total 264 m^3 cubic meters of space the sea turtles have in their habitat.

8 0
3 years ago
La profesora de matemáticas solicita a dos estudiantes que describan las cosas que les han parecido interesantes de los números
Makovka662 [10]

Answer:

Respuesta D

Step-by-step explanation:

Paola afirma: Todo número compuesto par, se puede escribir como la multiplicación de factores primos.

Esta afirmación es cierta, pues es un caso  de la afirmación de que todo número natural mayor que uno se puede escribir como multiplicación de números primos. A este proceso se le llama descomposición en factores primos.

Edwin afirma: Todo número compuesto impar se puede escribir como la suma de dos números primos.

Esta afirmación es falsa. Note que al sumar dos números impares de la forma 2k+1 y 2m+1 para k distinto de m, se obtiene

2k+1+2m+1 = 2(km+1)

Es decir, la suma de dos números impares es siempre par.

Note que a excepción de 2, todo número primo es impar. Para que esta afirmación fuera cierta, necesariamente tendría que pasar que cualquier número impar k se escriba de la forma p+2 donde p es un número primo. Esto es equivalente que para cualquier número impar k, el número k-2 sea primo.

Basta con dar un ejemplo para ver que esto no pasa. Tomemos k=11. En este caso, k-2 = 9, el cuál no es un número primo. Entonces 11 no se puede  descomponer como la suma de dos números primos.

5 0
4 years ago
Question 2: Ethan has a collection of 50 DVDs. If 32 of the DVDs are comedies, what percent of the DVDs are not comedies?
gladu [14]

Answer: 36% are not comedies

Step-by-step explanation:

32/50 = 64%

100 - 64 = 36

3 0
2 years ago
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Ivanshal [37]

Answer: A. 1

Step-by-step explanation:

sorry if im wrong

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