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vivado [14]
3 years ago
5

Teo makes a necklace of x wooden beads at .50 each and 6 glass beads at 1.25 each. The average cost of the beads in the necklace

is .75. What is an equation that will model this solution?
Mathematics
1 answer:
Alisiya [41]3 years ago
5 0
For a necklace.
There are x wooden beads at $0.50 each.
There are 6 glass beads at $1.25 each

Therefore the cost of the beads in a necklace is
0.50x + 6*1.25 = 0.5x + 7.5 dollars

There are (x+6) beads. Because the average cost of the beads is $0.75, therefore
\frac{0.5x+7.5}{x+6} =0.75 \\\\ 0.5x+7.5=0.75(x+6)

The solution for x may be obtained as follows:
0.5x + 7.5 = 0.75x + 4.5
-0.25x = -3
x = -3/-0.25 = 12

Answer:
The equation to find x is
(0.5x + 7.5) = 0.75(x + 6)

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Find the volume of a rectangular prism with a length of 2.5, a width of 8 and a height of 12
Nadya [2.5K]

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240

Step-by-step explanation:

volume of rectangular prism formula:

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3 years ago
Los alumnos de 6 grado obtuvieron las siguientes calificaciones en sus exámenes de matemáticas, encuentra la Media, moda y media
skelet666 [1.2K]

Answer:

Media = 8.73

Moda = 9.0

Mediana = 9.0

Step-by-step explanation:

En este caso, vamos a repasar primero el concepto de cada uno:

Media: Se refiere a un promedio numérico de varios datos en una medida. Se calcula como la sumatoria de todos los valores numéricos dividido entre la cantidad de valores existentes,

Moda: Se refiere al valor numérico que mas se repite en una secuencia numérica.

Mediana: Se refiere al número, o números, que se encuentran justo en la mitad de una secuencia numérica ordenada de menor a mayor o de mayor a menor.

Tomando en cuenta estos conceptos, determinemos cada uno de ellos. Son 15 calificaciones. Si las ordenamos todas de menor a mayor tenemos:

7.0, 8.0, 8.0, 8.0, 8.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 10.0, 10.0

Para la media:

Media = 7 + (8+8+8+8) + (9+9+9+9+9+9+9+9) + (10+10) / 15

<h2>Media = 8.73</h2>

<u>Para la moda:</u>

Como se puede observar, la calificación 9.0 se repitió 8 veces por lo tanto

<h2>Moda = 9.0</h2>

<u>Para la mediana:</u>

Al observar los datos ordenados de mayor a menor, nos damos cuenta que la calificación 9.0 se encuentra en la mitad de esos datos, asi que

<h2>Mediana = 9.0</h2>

Espero te ayude.

6 0
3 years ago
Max has $2,000 he would like to invest in an account that pays simple interest. Max would like to earn a total of $650 in intere
Goryan [66]

Answer: 6.5%

Step-by-step explanation:

Formula for simple interest : I = Prt , where P= principal , r= rate of interest  t= time

As per given , P = $2000 , I=$ 650, t= 5 years

Substitute all theses values in the formula , we get

650=2000\times r\times5\\\\\Rightarrow\ r=\dfrac{650}{2000\times5}\\\\\Rightarrow\ \dfrac{65}{1000}\\\\\Rightarrow\ r=0.065 =0.065\times100\%=6.5\%

Hence, the required annual interest = 6.5%

7 0
3 years ago
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