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Rom4ik [11]
2 years ago
12

the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours pau

l works. which answer is the best interpretation of the number 11 in the equation
Mathematics
1 answer:
k0ka [10]2 years ago
4 0

Answer: 11 represents the extra amount of money he gets.

Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.

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You have $3.70 in dimes and quarters. You have 5 more
anygoal [31]

Answer:

Step-by-step explanation:

10x + 25y = 370

y = x + 5

10x+25(x+5)=370

10x+25x+125=370

35x=370-125

x=245/35

x=7 which is the number of dimes

x+7= 7+5= 12 which is the number of quarters

So you have 12 quarters. That means you have 7 dimes.

8 0
2 years ago
Sam traveled 3/4 of a journey by bus. He jogged 1/2 of the remaining distance and walked the rest of the way. If he walked 800 f
Troyanec [42]
Let x = total distance he covered
3x/4         by bus
1/2 . x/4  =  x/8  by jogging
the remaining distance  =  x/8               by walking
thus      x/8 = 800ft
           x =    8 . 800 = 6400ft
3 0
3 years ago
Consider all 5 letter "words" made from the full English alphabet. (a) How many of these words are there total? (b) How many of
VARVARA [1.3K]

Answer:

a) There are 11,881,336 of these words in total.

b) There are 7,893,600 of these words with no repeated letters.

c) 896,376 of these words start with an a or end with a z or both

Step-by-step explanation:

Our words have the following format:

L1 - L2 - L3 - L4 - L5

In which L1 is the first letter, L2 the second letter, etc...

There are 26 letters in the English alphabet.

(a) How many of these words are there total?

Each of L1, L2, L3, L4 and L5 have 26 possible options.

So there are 26^{5} = 11,881,336 of these words total

(b) How many of these words contain no repeated letters?

The first letter can be any of them, so L1 = 26.

At the second letter, the first one cannot be repeated, so L2 = L1 - 1 = 25.

At the third letter, nor the first nor the second one can be repeated, so L3 = L1 - 2 = 24

This logic applies until L5

So we have

26-25-24-23-22

In total there are

26*25*24*23*22 = 7,893,600

of these words with no repeated letters.

(c) How many of these words start with an a or end with a z or both (repeated letters are allowed)?

T = T_{1} + T_{2} + T_{3}

T_{1} is the number of words that start with an a and do not end with z. So we have

1 - 26 - 26 - 26 - 25

The first letter can only be a, and the last one cannot be z. So:

T_{1} = 26^{3}*25 = 439,400

T_{2} is the number of words that start with any letter other than a and end with z. So we have

25 - 26 - 26 - 25 - 1

The first letter can be any of them, other than a, and the last can only be z. So:

T_{2} = 26^{3}*25 = 439,400

T_{3} is the number of words that both start with a and end with z. So:

1 - 26 - 26 - 26 - 1

The first letter can only be a, and the last can only be z. The other three letters could be anything. So:

T_{3} = 26^{3} = 17,576

T = T_{1} + T_{2} + T_{3} = 2*439,400 + 17,576 = 896,376

896,376 of these words start with an a or end with a z or both

4 0
3 years ago
The regular price of an item is s dollars. If the item is on sale for 25% off the regular price, which expression represents the
seraphim [82]

Answer:

0.75s

Step-by-step explanation:

The expression would be 0.75s where 0.75 represents the cost of the item after the 25% sale, and s representing the regular cost of the item.

Hope this helps :)

8 0
2 years ago
the biggest increase in specific prison populations occurred between 1980 and 2011, with a jump from 15,118 to 111,387 individua
natima [27]

Answer:

15,118

Step-by-step explanation:

8 0
2 years ago
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