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Gre4nikov [31]
3 years ago
7

Which expression is equivalent to (3.1x−2.4y+1.9)+(2.2x−1.4y−3.4)?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

Answer:

5.3x - 3.8y - 1.5

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The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

6 0
3 years ago
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How do I solve for the missing numbers
Veronika [31]

Answer:

going from left to right: 200, 400, 800

Step-by-step explanation:

25 x 2 = 50

50 x 2 = 100

100 x 2 = 200

200 x 2 = 400

400 x 2 = 800

just follow the pattern

4 0
2 years ago
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A bag has four green marbles, three red marbles, and three yellow marbles. What is the probability that you pick a yellow marble
valina [46]

Step-by-step explanation:

add all marbles together:

4 (green) + 3 (red) + 3 (yellow) = 10 marbles total

if we pick a yellow marble out of the bag and do not replace it, then we have 2 yellow marbles left.

we need to add marbles again with one yellow marble subtracted.

4 (green) + 3 (red) + 2 (yellow) =

new Total is 9 marbles.

so then we have 2 yellow marbles out of 9 total marbles.

2:9

or 2/9

or .22 (22%)

is the probability

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The population of deer in a state park in 1985 was 46,000. The population in 1990 was 72,000. What is the rate of change of the
Vesnalui [34]

Answer:

5200 deer/year

Step-by-step explanation:

  • rateofchange=changeinpopulation \div changeinyears
  • we will call the rate of change, the slope of the function
  • slope=(72000-46000)deer\div (1990-1985)years\\=26000deer\div 5years\\=(\frac{26000}{5}) deer/year\\==5200deer/year
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A coordinate plane with a straight line with a negative slope, with endpoints at, (0, 9) and (9, 0) The slope of the graph is –1
zaharov [31]

Answer:

D .candle burns down 1 cm per hour

Step-by-step explanation:

this is the answer i just got it rigth

7 0
3 years ago
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