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Naddik [55]
3 years ago
5

a 96 ounce container of orange juice costs $4.80. at what price should a 128 ounce container be sold in order for the unit rate

for both containers to be the same? explain your reasoning.
Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0
4.8 / 96 = x / 120
96x = 576
x = 576/96
x = 6

check :
unit rate for 96 oz container at 4.80 = 4.80/96 = 0.05 per oz
unit rate for 120 oz container at 6.00 = 6.00/120 = 0.05 per oz

Basically ur looking for an equivalent fraction (and that is what proportions are...this will reduce to the same unit rate. So ur answer is $ 6.00

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Write a formula for the general term or nth term for the sequence. Then find the indicated term. three fourths comma three sixte
Alexxandr [17]
Sequence: 3/4, 3/16, 3/64, 3/256
a8=?
a1=3/4
a2=3/16
a3=3/64
a4=3/256

a2/a1=(3/16)/(3/4)=(3/16)*(4/3)=4/16=1/4
a3/a2=(3/64)/(3/16)=(3/64)*(16/3)=16/64=1/4
a4/a3=(3/256)/(3/64)=(3/256)*(64/3)=64/256=1/4
a2/a1=a3/a2=a4/a3=r=1/4

an=a1*r^(n-1)
an=(3/4)*(1/4)^(n-1)
an=(3/4)*(1)^(n-1)/(4)^(n-1)
an=(3/4)*(1/4^(n-1))
an=(3*1)/[4*4^(n-1)]
an=3/4^(1+n-1)
an=3/4^n

n=8→a8=3/4^8
a8=3/65,536

Answers:
The general term or nth term for the sequence is: an=3/4^n
a8=3/65,536
3 0
3 years ago
The length of a rectangle is 4 in longer than its width. if the perimeter of the rectangle is 28 in , find its area.
ra1l [238]
The area is 45 inches squared

7 0
3 years ago
How much greater is the sum of the interior angles of a decagon the song of the interior angles of a quadrilateral
slega [8]

Answer: 1080 degrees

Step-by-step explanation:

5 0
2 years ago
In words, what is this shape and how do you know?<br><br> (the shape is a rectangle)
Sonbull [250]

Answer: The shape is a rectangle. We know this because it has 4 corners and 4 sides. And it is a quadrilateral.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
2.- Supóngase que los diámetros de los tornillos fabricados por una compañía están distribuidos normalmente con una media de 0.2
Sergio [31]

Answer:

7.30167%

Step-by-step explanation:

Usando la fórmula de puntuación z

z = (x-μ) / σ, donde x es la puntuación bruta, μ es la media de la población y σ es la desviación estándar de la población

Para x <0.20 pulgadas

z = 0.20 - 0.25 / 0.02

z = -2.5

Valor de probabilidad de Z-Table:

P (x <0.20) = 0.0062097

Para x> 0.28 pulgadas

z = 0.28 - 0.20 / 0.02

z = 1.5

Valor de probabilidad de Z-Table:

P (x <0.28) = 0.93319

P (x> 0.28) = 1 - P (x <0.28) = 0.066807

La probabilidad de que se produzcan tornillos defectuosos cuando el tornillo se considera defectuoso si su diámetro es inferior a 0.20 pulgadas o superior a 0.28 pulgadas es

P (x <0.20) + P (x> 0.28)

= 0.0062097 + 0.066807

= 0.0730167

Conversión a porcentaje

= 0.0730167 × 100

= 7.30167%

El porcentaje de tornillos defectuosos producidos es

7.30167%

3 0
2 years ago
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