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3 years ago

A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the

Mathematics

1 answer:

Art [367]3 years ago

7 0

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

$L = 3x + 7$

$W = 2x$

The perimeter of the rectangle is given by:

$P = 2W + 2L$

$94 = 2(2x + 3x + 7)$

$94 = 10x + 14$

$x = 8$

Now, we can calculate the length of the rectangle:

$L = 3x + 7 = 3*8 + 7 = 31$

Therefore, the length of the rectangle is 31 units.

I hope it helps you!

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Skylar is answering the following math problem: The value of an investment decreased by 10%. The original amount of the investme

Alona [7]

Answer:

The given parameters of the investment are;

The rate of decrease of the investment, r = -10%

The original amount of the investment, P = $75.00

Let 'A' represent the final answer (value of the investment) after the decrease in the investment, 'r', is applied, we have;

The algebraic equation that can be used to arrive at the final answer, 'A', is given as follows;

A = P + r·P

Therefore by substituting the given values, we have;

A = $75.00 + (-10/100) × $75.00 = $75.00 - 0.1 × $75.00 = $75.00 - $7.50

A = $75.00 - $7.50 = $67.50

The final amount or answer, A = $67.50

Step-by-step explanation:

3 0

3 years ago

Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t

LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

$(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

$(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6) $=\dfrac{20}{36}$

The probability distribution of this event is given as follows.

$\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|$

First, we determine the expected Value of this event.

Expected Value

$=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67$

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning $=\dfrac{20}{36}$

If the game is played 100 times

Number of times expected to win

$=\dfrac{20}{36} \times 100\\=56$ times$

Therefore, number of times expected to loose

= 100-56

=44 times

8 0

3 years ago

Which method can be used to solve 11x13

butalik [34]

Answer:

Simple column method

Step-by-step explanation:

x <u>13</u>

143

3 0

3 years ago

Read 2 more answers

There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total o

Sauron [17]

Answer:

<h2>2 in each box of course</h2>

g= green chips r= red chips

3 boxes of green chips meaning for each box there are <em>2</em> chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total

Step-by-step explanation:

6 0

2 years ago

M-80=150,doing homework

Umnica [9.8K]

M=230
m-80=150
add 80 to each sides

6 0

3 years ago