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4 years ago

3 1/3=5a Please answer I need it in a few minutes

Mathematics

1 answer:

vekshin14 years ago

8 0

Answer:

a=2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

3 1/3=5a

Step 1: Simplify both sides of the equation.

10/3=5a

Step 2: Flip the equation.

5a=10/3

Step 3: Divide both sides by 5.

5a/5= 10/3/5

a=2/3

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Find two consecutive ODD integers such that: The square of the larger is 120 more than the square of the smaller

BlackZzzverrR [31]

Answer: See explanation

Step-by-step explanation:

Le the number be x and x+2

The information given can be formed into and equation as:

(x + 2)² = x² + 120

(x + 2)(x + 2) = x² + 120

x² + 2x + 2x + 4 = x² + 120

Collect like terms

x² - x² + 2x + 2x = 120 - 4

4x = 116

x = 116/4

x = 29

The smallest number is 29

The larger number is x + 2 = 29 + 2 = 31

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3 years ago

10m 2m 2m 3 m 1m 8m Find The Perimeter

alina1380 [7]

Answer:

26m

Step-by-step explanation:

To find the perimeter of a figure, you have to add up all the sides. 10 + 2 + 2 + 3 + 1 + 8= 26, therefore the perimeter of the figure is 26 m.

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3 years ago

A boat travels 21 miles East from a lighthouse then changes direction traveling 22(deg) South of West for 9 miles. How far Is th

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The ship is 25.54 miles away from the lighthouse.

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4 years ago

A circular path 3 feet wide has an inner diameter of 350 feet. How much farther is it around the outer edge of the path than aro

kobusy [5.1K]

Answer:

18.84 feet farther is it around the outer edge of the path than around the inner edge.

Step-by-step explanation:

Given:

A circular path 3 feet wide has an inner diameter of 350 feet.

Use 3.14 for π.

Now, to find how much farther is it around the outer edge of the path than around the inner edge.

Width of the circular path = 3 feet.

Inner diameter of circular path = 350 feet.

So, to get the inner radius we divide the inner diameter of circular path by width of circular path:

$350\div 3$

$=116.67\ feet.$

r = 116.67 feet.

Now,

Thus, the outer radius is:

$116.67+3$

$=119.67\ feet.$

R = 119.67 feet.

Now, we get the circumference of inner edge and outer edge:

Circumference of inner edge = 2πr.

$Circumference\ of\ inner\ edge=2\times 3.14\times 116.67$

$=732.69\ feet.$

Circumference of outer edge = 2πR.

$Circumference\ of\ outer\ edge=2\times 3.14\times 119.67$

$Circumference\ of\ outer\ edge=751.53\ feet.$

Now, to get how much farther is it around the outer edge of the path than around the inner edge:

Circumference of outer edge - circumference of inner edge.

$751.53-732.69$

$=18.84\ feet.$

Therefore, 18.84 feet farther is it around the outer edge of the path than around the inner edge.

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3 years ago

Solve the following system using the Substitution method:

Liono4ka [1.6K]

Answer:

(x, y) = (-2, 2)

Step-by-step explanation:

We are given the following two equations which we are to solve using the substitution method:

$x - y = -4$ --- (1)

$x - 2y = -6$ --- (2)

From equation (1):

$x = y-4$

Substituting this value of x in (2) to get:

$x = [tex]x - 2y = -6\\\\(y-4)-2y=-6\\\\-y=-6+4\\\\-y=-2$ [/tex]

y = 2

Substituting the value of y in (1) to get x:

$x - y = -4$

$x - 2 = -4$

$x = -4 + 2$

x = -2

Therefore, (x, y) = (-2, 2).

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3 years ago