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nataly862011 [7]
3 years ago
9

If a rectangle's length is y−2 and the width is 3y+2 write an expression for the perimeter and an expression for the area.

Mathematics
1 answer:
aalyn [17]3 years ago
3 0

Answer:

Area = 3y^2 - 4y - 4 units square.

Perimeter = 8y units.

Step-by-step explanation:

Area of a rectangle = length * width.

Perimeter of a rectangle = 2*(length + width).

It is given that length = y−2 units and width = 3y+2 units. To find the area and the area of the rectangle in terms of y, simply put the length and the width in the above area and perimeter equations.

Area = length * width = (y-2)*(3y+2).

Expanding the expression gives:

Area = 3y^2 + 2y - 6y - 4 = (3y^2 -4y - 4) units square.

Similarly,

Perimeter = 2*(length + width) = 2*(y-2 + 3y+2) = 2*4y = 8y units.

Therefore, the expression for the area and the perimeter of the given rectangle is (3y^2 - 4y - 4) units square and (8y) units respectively!!!

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Courtney is ordering nachos at a restaurant, and the server tells her that she can have up to three toppings: pico de gallo, oni
aalyn [17]

Answer:

Probability = \frac{1}{9}

Step-by-step explanation:

Given

Toppings: Pico de gallo, Onions and Steak

Required

The probability of getting Onions and Steak

The probability is calculated using:

Probability = P(Onion)\ and\ P(Steak) --- because the events are independent

P(Onion) = \frac{n(Onion)}{Total}

P(Onion) = \frac{1}{3}

P(Steak) = \frac{n(Steak)}{Total}

P(Steak) = \frac{1}{3}

So, we have:

Probability = P(Onion)\ and\ P(Steak)

Probability = P(Onion)\ *\ P(Steak)

Probability = \frac{1}{3} * \frac{1}{3}

Probability = \frac{1}{9}

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3 years ago
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FrozenT [24]

Answer:

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Step-by-step explanation:

3 0
3 years ago
A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.0
Agata [3.3K]

Answer:

Approximately 68%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1, standard deviation = 0.05.

Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.

0.95 = 1 - 0.05

1.05 = 1 + 0.05

So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.

5 0
3 years ago
Based on the graph, what is the initial value of the linear relationship?
alex41 [277]

Answer: two over three

Step-by-step explanation:

y=ax+b

line intercepts y at (0,-2)

Therefore, y=ax-2

Substitute x = 3 in y =ax-2

y=3a-2

To find the x-intercept, y = 0

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The slope is 2/3

y-intercept is -2

So two over three

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3 years ago
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