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2 years ago

2 and 1/4 yard is how many inches

1 answer:

5 0

First you need to find out how many inches are in a yard. After that, times that by 2 1/4 or use the improper fraction form 9/4 which I am going to use.

We know there is 36 in = 1yd

36 x 9/4 = 324 / 4
324 / 4 = 81 inches

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How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word

Sergio [31]

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

5 0

2 years ago

The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find t

Alexeev081 [22]

Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8

Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.

Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

8 0

2 years ago

X + 8y = 18 and — 5x + 3y = -4

atroni [7]

X+8y=18
-5x+3y=-4

Multiply the first equation by 5
Add the two equations together

5x+40y=90
-5x+3y=-4
43y=86
Y=2

Plug y into one equation to find x
X+16=18
X=2

5 0

2 years ago

Read 2 more answers

A loaf of bread costs $1.40 and the markup is 30% of the selling price. Find the selling price.

andreev551 [17]

Answer:

The selling price after the markup is $1.82

Step-by-step explanation:

$1.40 * .30 =

Multiply $1.40 times .30 (which is same as 30%)

$1.40 * .30 = $0.42

Add $1.40 and $0.42

= $1.82

Hope this helps.

6 0

2 years ago

To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of in

erastova [34]

Answer: $x= 187.5p$

Step-by-step explanation:

Given : An equation relating packets to bytes of information : $b = 1,500p$ where<em> p</em> represents the number of packets and <em>b</em> represents the number of bytes of information.

1 byte = 8 bits

Let x= Number of bits such that 1 b = 8x

Put b = 8x in given equation , we get

$8x=1500p$

Divide both sides by 8 , we get

$x= 187.5p$

Hence, the equation represent the relationship between the number of packets and the number of bits : $x= 187.5p$

3 0

2 years ago

Read 2 more answers