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nirvana33 [79]
3 years ago
13

On the day a coffee shop first opened, it had 140 customers. 65% of the customers ordered a large coffee.

Mathematics
2 answers:
Leviafan [203]3 years ago
8 0
140/100 * 65 = 91 people
Divide 140 by 100 to find 1 percent then multiply by 65 to find 65 percent.
miv72 [106K]3 years ago
8 0
91 costumers ordered a large coffee I hope this helped!
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How many solutions exist for the given equation?<br> 12x + 1 = 3(4x + 1) - 2
VladimirAG [237]

Answer:

Infinite

Step-by-step explanation:

3(4x + 1) - 2

= 12x + 3 - 2 (Multiply the sum in the bracket by 3)

= 12x + 1 (Simplify)

This means that:

12x + 1 = 3(4x + 1) - 2

is the same as

12x + 1 = 12x + 1

Hence, anything that is used to substitute x is correct.

4 0
3 years ago
What is the quotient of 2 3/4 and 5 1/2?
Juli2301 [7.4K]

Answer:

  1/2

Step-by-step explanation:

This can be done several ways. Perhaps the easiest is to use the decimal equivalents:

  (2 3/4)/(5 1/2) = 2.75/5.5 = 0.5

__

If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:

  2 3/4 = (4·2 +3)/4 = 11/4

  5 1/2 = (2·5 +1)/2 = 11/2

Now, the problem can be written as ...

  (2 3/4) / (5 1/2) = (11/4) / (11/2)

This sort of division problem can be solved two ways:

  <u>invert and multiply</u> (the denominator is inverted)

  = (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2

  <u>use a common denominator</u> (for the two fractions)

  = (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2

The quotient is 1/2.

_____

<em>Additional comments</em>

It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.

1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5

__

I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)

"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.

8 0
3 years ago
Integers
Llana [10]

Answer:

Option D is not true

Step-by-step explanation:

Whole Numbers (W) = They include Natural numbers (N) and 0.

7 0
2 years ago
What is the common difference for this arithmetic sequence?
MaRussiya [10]

Common difference of the arithmetic sequence, is

d=a_{n} - a_{n-1}

d = a_{2} -a_{1} = 48-31=17 \\ \\d= a_{3} -a_{2} = 65 - 48= 17 \\ \\ d= a_{4} -a_{3}= 82-65=17 \\ \\ Answer:\ D.17.

4 0
3 years ago
Read 2 more answers
Three and 4 friends go to the movies each person buys a movie ticket for $7,a snack for $5,and a drink for $2.write an expressio
Andre45 [30]
(7 + 5 + 2) x 7
14 x 7 = $98.00 

3 0
3 years ago
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