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3 years ago

A breakfast food company has decided to shrink the size of its cereal boxes by 5%

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

Answer:

1oz

Step-by-step explanation:

5% as a decimal is .05

.05 x 20= 1

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The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2

Otrada [13]

Width=20.108 yrd and Length=43.216 yrd

Step-by-step explanation:

Let width = w

Length =3+2w

Area = 869 yrd^2

We need to find length and width of rectangle.

The formula used is:

$Area= length*width$

Putting values:

$Area= length*width$

$869= (3+2w)*(w)$

$869= 3w+2w^2$

$2w^2+3w-869=0$

Using quadratic equation to find value of width w:

$w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a=2, b=3 and c=-869

$w=\frac{-3\pm\sqrt{(3)^2-4(2)(-869)}}{2(2)}$

$w=\frac{-3\pm\sqrt{6961}}{4}$

$w=\frac{-3\pm 83.4}{4}$

$w=\frac{-3+83.4}{4}\,\,and\,\,w=\frac{-3-83.4}{4}$

$w=20.108\,\,and\,\,w=-21.6$

Since width can't be negative so, width w=20.108

Length will be: L=3+2w = 3+2(20.108)=3+40.216=43.216

So, Width=20.108 yrd and Length=43.216 yrd

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

4 0

3 years ago

Please really need help on this please

astraxan [27]

Answer:

22222.#2345/(87559grudj

4 0

3 years ago

What are the factors of 2a³ + a² + 2a + 1?

morpeh [17]

Answer:

The answer is (a²+1)(2a+1)

4 0

2 years ago

A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel

otez555 [7]

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

Number of hotels = 160

Number of response received = 103

The average number of years these general mangers was in their current hotels, $\bar x$ = 11.7 years

Confidence Interval, CI = 0.99

Therefore,

a = 0.01, |Z(0.005)| (from standard normal table)

∴ 99% of CI = $\bar x \pm Z \times \frac{s}{\sqrt n}$

$= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$

$(10.78483, 12.61517)$

3 0

3 years ago

Traveling with the current a certain boat went 16km/h. Against the same current it only went 6km/h. Find the current and the spe

Aloiza [94]

Answer:

Step-by-step explanation:

b and c are the speeds of the boat in stool water, and current, respectively.

Going with the current, the boat travels b+c=16 km/h.

Going against the current, the boat travels b-c=6 km/h

add the equations together

b+c = 16

b-c = 6

—————

2b = 22

b = 11

c = 16-b = 5

4 0

3 years ago