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Rzqust [24]
3 years ago
9

Diane needs a pice of paper whose length is 4 more inchs than width, and the area is as close as possible to 50 in^2. TO the nea

rst whole inch, what should the dimensions of he paper be.
This should be related to multiplying polynomials
*I will mark brainlist plz*
Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

Width = 5 inches

Length = 9 inches

Step-by-step explanation:

The paper;

Length = (x + 4) inches

Width = x inches

The area is close as possible to 50 square inches.

Since this paper is rectangular in shape; the area of a rectangle is given by:

Area = Length × Width

∴ (x + 4) * x = 50 square inches

x² + 4x = 50

Let the area be equal to 45 square inches;

Applying the quadratic formula, x = 5 or -9

But since we are dealing with length measurements, the value of x = 5 inches.

So the width = 5 inches and;

length = 5 + 4 = 9 inches.

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Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation option
denis-greek [22]

Answer:

The probability that he teleports at least once a day =  \mathbf{\frac{5}{9}}

Step-by-step explanation:

Given -

Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation options teleport ride a dragon or walk to work and in the evening he has the same three choices for his trip home.

Total no of outcomes = 3

P( He not choose teleport in the morning ) = \frac{2}{3}

P( He not choose teleport in the evening ) = \frac{2}{3}

P ( he choose teleports at least once a day ) = 1 - P ( he not  choose teleports in a day )

                                                         = 1 - P( He not choose teleport in the morning ) \times P( He not choose teleport in the evening )

                                          =  1 - \frac{2}{3}\times\frac{2}{3}

                                           =  \frac{5}{9}

3 0
3 years ago
What is the remainder when the polynomial f(x) = x³ - x² + 3x - 2, is divided by 2x - 1​
Contact [7]

Answer:

Equate the divisor to 0

2x-1=0

2×=1

×=1/2

Putting onto the polynomial

f(1/2) = (1/2)³-1/2)²+3(1/2)-2

=-5/8

8 0
3 years ago
Sandy made 8 friendship bracelets she gave 1 bracelet to her best friend and 5 to to her friends in the tennis team
Oduvanchick [21]

Answer:

2

Step-by-step explanation:

1/8 2/8 3/8 4/8 5/8 6/8 7/8 8/8

8/8-6/8=2/8

8 0
4 years ago
A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho
kow [346]

The rice will cost $17.6  for serving 40 people

<h3><u>Solution:</u></h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be \frac{\$ 1.99}{2}=\$ 0.995

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is  $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}

Therefore rice will cost $17.6  for serving 40 people

7 0
4 years ago
A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0
3 years ago
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