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astra-53 [7]
3 years ago
11

Josh is going to the store to buy candy. Bags of candy corn cost $3 and bags of chocolate cost $5. He needs to buy at least 20 b

ags of candy and he cannot spend more than $60. Write a system of linear inequalities to model the situation.
Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Answer:

x + y ≥ 20

3x + 5y > 60

Step-by-step explanation:

Let

Bags of candy corn = x

Bags of chocolate = y

Cost of bags of candy corn = $3

Cost of bags of chocolate = $5

He needs to buy at least 20 bags of candy and he cannot spend more than $60

system of linear inequalities to model the situation.

x + y ≥ 20

3x + 5y > 60

The system ot inequalities which models the situation

x + y ≥ 20

3x + 5y > 60

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Jim wanted to find out what the audience thought about the debate. After the event, Jim stood at the exit to survey every fifth
balu736 [363]

Answer: D. This was a random sample. It may have included anyone in attendance.

Step-by-step explanation:

The options are:

A. This was a biased sample. Jim should interview all in attendance.

B. This was a census. Any guest may have participated.

C. This was a random sample. It may not have included anyone in attendance.

D. This was a random sample. It may have included anyone in attendance.

A random sampling is simply referred to as a subset of individuals that are picked from a larger set of individuals.

With regards to the question, Jim wanted to find out what the audience thought about the debate and after the event, he stood at the exit to survey every fifth guest.

This means that it was a random sampling and anyone could have been picked, the sampling wasn't bias.

7 0
3 years ago
1) UN MOVIL A SE MUEVE DESDE UN PUNTO CON VELOCIDAD CONSTANTE DE 20m/s EN EL MISMO INSTANTE A UNA DISTANCIA DE 1200m, OTRO MOVIL
alisha [4.7K]

Answer:

El móvil B necesita 60 segundos para alcanzar al móvil A y le alcanza una distancia de 2400 metros con respecto al punto de referencia.

Step-by-step explanation:

Supóngase que cada movil viaja en el mismo plano y que el móvil B se localiza inicialmente en la posición x = 0\,m, mientras que el móvil A se encuentra en la posición x = 1200\,m. Ambos móviles viajan a rapidez constante. Si el móvil B alcanza al móvil A después de cierto tiempo, el sistema de ecuaciones cinemáticas es el siguiente:

Móvil A

x_{A} = 1200\,m+\left(20\,\frac{m}{s} \right)\cdot t

Móvil B

x_{B} = \left(40\,\frac{m}{s} \right)\cdot t

Donde:

x_{A}, x_{B} - Posiciones finales de cada móvil, medidas en metros.

t - Tiempo, medido en segundos.

Si x_{A} = x_{B}, el tiempo requerido por el móvil B para alcanzar al móvil A es:

1200\,m+\left(20\,\frac{m}{s} \right)\cdot t = \left(40\,\frac{m}{s} \right)t

1200\,m = \left(20\,\frac{m}{s} \right)\cdot t

t = \frac{1200\,m}{20\,\frac{m}{s} }

t = 60\,s

El móvil B necesita 60 segundos para alcanzar al móvil A.

Ahora, la distancia se obtiene por sustitución directa en cualquiera de las ecuaciones cinemáticas:

x_{B} = \left(40\,\frac{m}{s} \right)\cdot (60\,s)

x_{B} = 2400\,m

El móvil B alcanza al móvil A a una distancia de 2400 metros con respecto al punto de referencia.

3 0
3 years ago
What’s the square root of 13 to the nearest integer
Marianna [84]

Answer:

4

Step-by-step explanation:

First off, integers are Whole Numbers (1,2,3,4, etc), so we are rounding the answer to the nearest whole number.

The square root of lets just say 25 means you are finding a number that multiplied by itself will equal 25 (the answer is 5).

Now for 13, there is no perfect square, however the closest whole number that multiplied by itself to 13 is 4.

4*4= 16

3*3=9

5*5=25

As you can see above 4 is the closest number to 13.

Now, the ACTUAL value of the square root of 13 is 3.60555128, but we are rounding up to the nearest whole number which is 4 :)

4 0
3 years ago
Please help me this is due in a few minutes
Vaselesa [24]

Answer:

Volume of one Bugle => 462.8 mm³

Volume of 18 Bugles => 8,330.4 mm³

Volume formula for a cone => ⅓πr²h

Step-by-step explanation:

Volume of one bugle = volume of cone (V) = ⅓πr²h

Where,

r = 5.1 mm

h = 17 mm

Volume of one Bugle = ⅓*π*5.1²*17 = 462.8 mm³

Volume of 18 Bugles = 462.8 × 18 = 8,330.4 mm³

7 0
2 years ago
Someone please help me!!
Fynjy0 [20]

It would be y=x-12!

Hope this helps!

4 0
3 years ago
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