Mario had 9 green 810 Brown 6 Orange and 9 blue m&m's what is the fractions of M&M's that are orange? Help please

1 answer:

6 0

Hey You!

Let's add up the total about of M&M's.

9 + 810 + 6 + 9 = 834

That is the denominator for the fraction. The numerator is the amount of orange M&M's, which have a quantity of 6.

= 6/834

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the perimeter of a rectangle brownie pan is 50 Inches. the lenght of the pan is 5 less than twice the width. write a system of e

Serga [27]

Answer: The system of equation is,

2 ( x + y ) = 50

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Step-by-step explanation:

Let x represents the length of the rectangular brownie and y represents the width of the rectangular brownie.

Thus, the perimeter of the brownie = 2 ( x + y )

But, According to the question,

Perimeter of the brownie = 50,

2 ( x + y ) = 50

The length of the brownie is 5 less than twice the width,

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Thus, the required system of equation is,

2 ( x + y ) = 50 , x = 2 y - 5

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the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle

inna [77]

Answer:

$2m$

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

$A = \frac{1}{2}bh$

They give us the area as $6m^2$ , so let's include it in the equation.

$6 = \frac{1}{2}bh$

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that $h = b-4$

So replace $h$ in the equation with $b-4$ .

You will now get:

$6 = \frac{1}{2}b(b-4)$

Now we can work towards solving. Let's get simplifying.

$12 = b(b-4)\\12 = b^2 - 4b\\$

bring everything to one side so we can make a quadratic and factor:

$0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2$

We get that $b=6$ .

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that $h = b - 4$ , so to find h, we just sub in our b value into that.