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3 years ago

A snail travels 3/8 feet in 1/2 hour.

Mathematics

1 answer:

OverLord2011 [107]3 years ago

7 0

Answer:

6.8

Step-by-step explanation:

i think

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What is the common denominator for 3/8 and 1/3

LUCKY_DIMON [66]

24.Hope i helped! Please rate brainiest answer!

7 0

3 years ago

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A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0

4 years ago

PLS HELP ME! Write a rule (function) for the data in this table.

yKpoI14uk [10]

Answer:

y = x - 3

<h3>How I know I'm correct:</h3>

if you plug in the numbers from the table, it checks out.

y = x - 3

0 = 3 - 3

0 = 0

y = x - 3

1 = 4 - 3

1 = 1

y = x - 3

2 = 5 - 3

2 = 2

and so on

5 0

4 years ago

A student has 1/4 of a glue stick but has 6 craft projects what fraction of the original glue stick can be used on each progect.

Korolek [52]

Answer: 1/24

Step-by-step explanation: what you do is you divide 1/4 by 6 and get 1/24

5 0

3 years ago

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If 1/a+1/b+1/c= 1/a+b+c than prove that 1/a7+1/b7+1/c7= 1/a7+b7+ c7

Rainbow [258]

Step-by-step explanation:

1/a + 1/b + 1/c = 1/(a+b+c)

=> 1/a + 1/b = 1/(a+b+c) -1/c

=> (b+a)/ab = {c - (a+b+c)/c(a+b+c)

=> (a+b)/ab = -(a+b)/(ac+bc+c^2)

=> 1/ab = -1/(ac+bc+c^2)

=> -ab = ac+bc+c^2

=-c^2 = ab+bc+ca

Similarly we can show that

-b^2 =ab+bc+ca and -c^2 = ab+bc+ca

So a=b=c. since -a^2 = -b^2 = - c^2

Then 1/a + 1/b + 1/c = 1/(a+b+c) => 3/a= 1/3a

=> 1/a^5 + 1/b^5 + 1/c^5 =3/a^5=(( 3/a )(1/a^4)

= 1/3a × 1/a^4 = 1/3a^5 = 1/(a^5 +b^5+c^^5)

Hope it help

4 0

3 years ago

Read 2 more answers