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lesya [120]
3 years ago
5

Two linear equations are shown.

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

(7, 13/3)

Step-by-step explanation:

Given the expressions

y = 1/3x + 2 and the second line y = 4/3x - 5

Equating both expressions

1/3x + 2 = 4/3x - 5

1/3x - 4/3x = -5 - 2

-3/3x = -7

-x = -7

x = 7

Substitute x = 7 into any of the equations

Using y = 1/3 x + 2

y = 1/3(7) + 2

y = 7/3 + 2

y = (7+6)/3

y = 13/3

Hence the solution to the system of the equation is (7, 13/3)

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A cylindrical water tank has a diameter of 5.3 meters and a height of 9 meters. What is the maximum volume that the water tank c
atroni [7]

Answer:

198.56m^{3

Step-by-step explanation:

To find the volume of a cylinder, you need to find the area of the cross-section (one of the circles on the side) and multiply it by the length.

Area of the circle = πr^{2} = π x (5.3/2) x (5.3/2) = π x 2.65 x 2.65 = 7.0225π

Volume of the cylinder = 7.0225π x 9 = 63.2025π = 198.56m^{3

8 0
3 years ago
En una tienda de ropa vas a comprarte una pantalones que están de 150 a 90 euros y una camiseta de 40 a 24 ¿ tienen el mismo por
uranmaximum [27]

Respuesta:

Sí, tienen el mismo descuento del 40%

Explicación paso a paso:

Dado :

PANTALÓN :

Precio inicial = 150

Precio con descuento = 90

Porcentaje de descuento en el precio:

(150 - 90) / 150 * 100%

60/150 * 100%

0,4 * 100

= 40%

CAMISA:

Precio inicial = 40

Precio con descuento = 24

Porcentaje de descuento en el precio:

(40-24) / 150 * 100%

16/40 * 100%

0,4 * 100

= 40%

Sí, tienen el mismo descuento del 40%

8 0
3 years ago
What is the perimeter of a square which has the same area as a circle with circumfrence of 4π
Kruka [31]

Answer:

Perimeter square = 8 sqrt(pi)

Step-by-step explanation:

The perimeter of a square is 4*s

The area of a circle is Area = pi * r^2

The circumference of a circle is C = 2*pi * r

C = 4 pi

4pi = 2*pi * r

r = 2

So the area of the circle is pi * r^2 = pi * 2^2 = 4pi

The square has the same area

Area = 4*pi

Square = 4*pi

s^2 = 4*pi

s = sqrt(4*pi)

s = 2*sqrt(pi)

The perimeter = 4 * 2 * sqrt(pi)

The perimeter = 8 * sqrt(pi)

8 0
3 years ago
The chart below shows conversion between gallons and fluid Ounces. Conversion Chart Gallons Fluid Ounces 2 256 3 384 4 512 6 Wha
LenaWriter [7]

Answer:

b

Step-by-step explanation:

between gallons and Fluid Ounces.because The chart below shows the conversion

4 0
4 years ago
The cost of a new car is $19,000. You can finance the car by paying $1000 down and $425 per month for 48 months.
Black_prince [1.1K]
!) $18,000 
<span>2) 1000 + 425(48) = $21,400 </span>
<span>3) 21,400 - 18,000 = $3400 </span>
<span>4) $23,500 </span>
<span>5) 2000 + 60(425) = $27,500 </span>
<span>6) 27,500 - 23,500 = $4000</span>
5 0
3 years ago
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