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2 years ago

Questions

Mathematics

2 answers:

Damm [24]2 years ago

6 0

Answer:

1: 8/15

2: a: 2/5

b: 1/5

3: 1/8

Step-by-step explanation:

16/30 chance

simplify

8/15

3 + 6 + 6 = 15

red: 6/15 --> 2/5

green: 3/15 --> 1/5

1/8

igomit [66]2 years ago

4 0

Answer:

1. 8/15

2. Green marble: 3/15

Red Marble: 6/15

Blue marbles: 6/15

3. a 1/8

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What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?

Jobisdone [24]

The coordinates (x,y) are (3,2), If the graphs of $2x+3y=12$ and $2x-y=4$ are intersect.

Step-by-step explanation:

The given is,

$2x+3y=12$ .................................(1)

$2x-y=4$ ....................................(2)

Step:1

The values of x and y are obtained by elimination method,

Substrate the equation (1) and (2),

$2x+3y=12$

$2x-y=4$

( - )

Equation becomes,

$(2x-2x)+(3y+y)=(12-4)$

$(0)+(4y)=(8)$

$4y=8$

$y=\frac{8}{4}$

$y=2$

From the equation (1),

$2x+3y=12$

$2x+3(2)=12$

$2x+6=12$

$2x=12-6$

$x=\frac{6}{2}$

$x=3$

Step:2

Check for solution,

$2x-y=4$ ....................................(2)

Substitute the values of x = 3 and y = 2 in above equation,

$2(3)-2=4$

$6-2=4$

$4=4$

Both sides are equal, so the x = 3 and y = 2 is correct answer

Result:

The coordinates (x,y) are (3,2), If the graphs of $2x+3y=12$ and $2x-y=4$ are intersect.

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Step-by-step explanation:

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KengaRu [80]

The perimeter of the triangle is 40 units

<h3>Perimeter of a triangle</h3>

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the<em> Pythagorean theorem </em>

Let the hypotenuse be h

Then,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17 units

Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

Thus,

The perimeter. P, of the triangle is

P = 15 + 8 + 17

P = 40 units

Hence, the perimeter of the triangle is 40 units

Learn more on Calculating perimeter here: brainly.com/question/17394545

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2 years ago

The sales tax on a $350 computer is $ 22.75. find the sales tax rate.

likoan [24]

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We can conclude that the tax rate on the computer was 6.5 percent.

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