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larisa [96]
2 years ago
15

Write your answer in exponential form 7 * 7 ^ 5

Mathematics
1 answer:
anygoal [31]2 years ago
3 0

Answer:

7^6

Step-by-step explanation:

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Solve and check 5(g - 5) - (5 - g) =12. show work
aleksandrvk [35]

5 (g-5) - (5-g) = 12\\5g - 25 -5 +g =12\\6g -30 = 12\\6g = 42\\g =  7


Check:

5(7-5) - (5-7) = 5 (2) - (-2) = 10 + 2 = 12

6 0
3 years ago
Una fábrica produce tres tipos de balones de fútbol, con un costo mensual de
Varvara68 [4.7K]

Answer:

Se fabricaron:

1000 balones de los que cuestan $20

75 balones de los que cuestan $30

50 balones de los que cuestan $40

Step-by-step explanation:

Vamos a definir las variables:

x = número de balones de $100.00 vendidos.

y = número de balones de $120.00 vendidos

z = número de balones de $160,00 vendidos.

Sabemos que se producen 1125 balones, entonces:

x + y + z = 1125

y el costo de producción es $24,250, conociendo el costo de cada balón podemos escribir:

x*$20 + y*$30 + z*$40 = $24,250

Y también sabemos que la ganancia mensual es $92,750

Ganancia es la diferencia entre el dinero total recibido y los costos, entonces:

x*$100 + y*$120 + z*$160 - $24,250 =  $92,750

x*$100 + y*$120 + z*$160 = $92,750 + $24,250

x*$100 + y*$120 + z*$160 = $117,000

Entonces tenemos un sistema de 3 ecuaciones:

x + y + z = 1125

x*$20 + y*$30 + z*$40 = $24,250

x*$100 + y*$120 + z*$160 = $117,000

Para resolver esto debemos comenzar por aislar alguna variable en alguna de las ecuaciones, yo comenzare aislando x en la primera ecuación:

x = 1125 - y - z

Ahora podemos reemplazar esto en las otras dos ecuaciones para obtener:

(1125 - y - z)*$20 + y*$30 + z*$40 = $24,250

(1125 - y - z)*$100 + y*$120 + z*$160 = $117,000

Si simplificamos esto obtenemos:

$22,500 + y*$10 + z*$20 = $24,250

$112,500 + y*$20 + z*$60 =  $117,000

Ahora de vuelta, debemos aislar una variable en una de las ecuaciones, si aislamos y en la primera ecuación obtenemos:

y*$10 = $24,250 - $22,500 -  z*$20

y = ($1,750 - z*$20)/$10

y = 175 - 2*z

Reemplazando esto en la otra ecuación obtenemos:

$112,500 + (175 - 2*z)*$20 + z*$60 =  $117,000

Ahora podemos resolver esto para z.

(175 - 2*z)*$20 + z*$60 =  $117,000 - $112,500

(175 - 2*z)*$20 + z*$60 = $4,500

$3,500 - z*$40 + z*$60 = $4,500

$3,500 + z*$20 = $4,500

z*$20 = $4,500 - $3,500 = $1,000

z = $1,000/$20 = 50

Entonces tenemos 50 balones de los que cuestan $40.

Usando la ecuación y = 175 - 2*z podemos encontrar el valor de y.

y = 175 - 2*50 = 75

Entonces tenemos 75 balones de los que cuestan $30.

Usando la ecuación x = 1125 - y - z podemos encontrar el valor de x.

x = 1125 - 75 - 50 = 1000

tenemos 1000 balones de $20.

5 0
3 years ago
(11 + 5) + 52 × (12 − 10)
melomori [17]

Answer:

120

Step-by-step explanation:

11+5+52(12−10)

=16+52(12−10)

=16+(52)(2)

=16+104

=120

5 0
3 years ago
To approach the runway, a pilot of a small plane must begin at 6 degrees,descent starting from a height of 1905 feet above the g
koban [17]

Answer:

C. 3.5 mi

Step-by-step explanation:

Reference angle = angle of elevation

Angle of elevation = angle of depression = 6° (alternate angle theorem)

Hypotenuse = x

Opposite = 1905 ft

Apply trigonometric function SOH:

Sin 6° = Opp/Hyp

Sin 6° = 1905/x

x * Sin 6° = 1905

x = 1905/Sin 6°

x = 18,224.7 ft

Convert form feet to miles

1 mi = 5,280 ft

Therefore,

18,224.7 = 18,224.7/5,280

= 3.45164773 mi

≈ 3.5 mi (nearest mile)

6 0
3 years ago
Earned income and capital gains (or "portfolio income") are acquired in different ways. Which statement describes how they are d
Dvinal [7]

Answer:

n

Step-by-step explanation:

5 0
2 years ago
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