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emmainna [20.7K]
3 years ago
6

A store sells rope by the meter. The equation p=0.8L represents the price p(in dollars) of a piece of nylon rope that is L meter

s long.
A. How much does the nylon cost per meter?

B. How long is a piece of nylon rope that costs $1.00?
Mathematics
1 answer:
Margaret [11]3 years ago
5 0

Answer:

1. $0.80 or 80 cents

2. 1.25 meters

Step-by-step explanation:

The equation p=0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long.

1. To find how much the nylon costs per meter, take L = 1 (this means you are calculating the price of a piece of nylon rope that is 1 meter long):

L=1,\\ \\p=\$0.8\cdot 1=\$0.80

2. To find how long a piece of nylon rope that costs $1.00 is, substitute into the equation p = 1:

p=1,\\ \\1=0.8L\\ \\L=\dfrac{1}{0.8}=\dfrac{10}{8}=\dfrac{5}{4}=1.25\ meters

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A password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be
maw [93]

Answer:

Only vowels and odd numbers:

P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}

Spells math:

P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}

Step-by-step explanation:

We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)

Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.

So the final probability would be:

P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}

To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:

P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}

6 0
3 years ago
The perimeter of a triangle is 4x-8, one of the side is 2x-4 and another is 3x+8. Find the third side
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Step-by-step explanation:

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A candle is 6 inches tall and burns at a rate of 1/2 inch per hour. If the candle is now 3.5 inches, how many hours has it been
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Jada is standing 10 feet from the base of the tree and spots a nest sitting on a branch. the angle of elevation from the ground
kogti [31]

Answer:

h = (10 ft)(1.428) = 14.28 ft

Step-by-step explanation:

Represent the height of the nest by h.  This is the vertical side of a triangle.  The horizontal side is 10 ft.

The following relationship is true:

tan 55 degrees = (opposite side) / (adjacent side), and in this case,

tan 55 degrees = h / 10 ft, so that:

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8 0
3 years ago
0.8 divided by 0.64.
gizmo_the_mogwai [7]
IT's just a simple conversion.
.
Ok. So, when you divide with decimal places, you have two options - 
.
Suck it up and divide, or move the decimal places to the right as many times as needed, until the number is a whole number. 
.
Choosing to move the decimal places to the right is the easy way out... 
.
So?
.
Move decimal point to the right two places in both numbers!!
.
80 and 64.
.
So what is 80/64?
.
You got it!!
.
1.25.
.
Hope I helped!!
8 0
3 years ago
Read 2 more answers
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