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3 years ago

What is the solution of system of equations. Y=1/3x+2 y=4/3x-5

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

When x = 7

Y=1/3x+2
Y=1/3(7) + 2
Y = 7/3 + 2
Y = 7/3 + 6/3
Y = 13/3

and
y=4/3x-5
y=4/3(7)-5
y=28/3 - 5
y = 28/3 - 15/3
y = 13/3

answer
(7, 13/3) is the solution

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The sphere below has a radius of 2.5 inches and an approximate volume of 65.42 cubic inches.

Stells [14]

Part a: The radius of the second sphere is 5 inches.

Part b: The volume of the second sphere is 523.33 in³

Part c; The radius of the third sphere is 1.875 inches.

Part d: The volume of the third sphere is 27.59 in³

Explanation:

Given that the radius of the sphere is 2.5 inches.

Part a: We need to determine the radius of the second sphere.

Given that the second sphere has twice the radius of the given sphere.

Radius of the second sphere = 2 × 2.5 = 5 inches

Thus, the radius of the second sphere is 5 inches.

Part b: we need to determine the volume of the second sphere.

The formula to find the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Substituting $\pi=3.14$ and $r=5$ , we get,

$V=\frac{4}{3} (3.14)(125)$

$V=\frac{1580}{3}$

$V=523.3333 \ in^3$

Rounding off to two decimal places, we have,

$V=523.33 \ in^3$

Thus, the volume of the second sphere is 523.33 in³

Part c: We need to determine the radius of the third sphere

Given that the third sphere has a diameter that is three-fourths of the diameter of the given sphere.

Hence, we have,

Diameter of the third sphere = $\frac{3}{4} (5)=3.75$

Radius of the third sphere = $\frac{3.75}{2} =1.875$

Thus, the radius of the third sphere is 1.875 inches

Part d: We need to determine the volume of the third sphere

The formula to find the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Substituting $\pi=3.14$ and $r=1.875$ , we get,

$V=\frac{4}{3} (3.14)(1.875)^3$

$V=\frac{4}{3} (3.14)(6.59)$

$V=27.5901 \ in^3$

Rounding off to two decimal places, we have,

$V=27.59 \ in^3$

Thus, the volume of the third sphere is 27.59 in³

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4 years ago

A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds

Bogdan [553]

Answer: 75 ft

Step-by-step explanation:

45x10 = 450

450/6=75

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asambeis [7]

I don't think that anybody in Elementary School would Understand this you might want to post this question in the High School section.

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Xelga [282]

Answer:

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Step-by-step explanation:

The four major categories of securities are:

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