All categories

3 years ago

( 1/3 +1 1/16 − 13/24 + 1/8 )∙96

Mathematics

1 answer:

Ainat [17]3 years ago

6 0

Answer:

Step-by-step explanation:

We must first evaluate the expression in parentheses (remember our order of operations, PEMDAS). To do this, we must find a common denominator.

The first thing that 3, 16, 24 and 8 will all divide into is 48; we must convert each fraction to 48ths.

It takes 16 3's to make 48; this means we multiply the top and bottom of this fraction by 16. This gives us 16/48.

It takes 3 16's to make 48; this means we multiply the top and bottom of this fraction by 3. This gives us 1 3/48.

It takes 2 24's to make 48; this means we multiply the top and bottom of this fraction by 2. This gives us -26/48.

It takes 6 8's to make 48; this means we multiply the top and bottom of this fraction by 6. This gives us 6/48.

This means we have

(16/48 + 1 3/48 - 26/48 + 6/48)(96)

(1 19/48 - 26/48 + 6/48)(96)

(67/48 - 26/48 + 6/48)(96)

(41/48 + 6/48)(96)

47/48(96) = (47*96)/(48) = 47*2 = 94

You might be interested in

What is 1/3 plus 1/2 in fraction form

Citrus2011 [14]

Answer:

5/6

Step-by-step explanation:

Hope this helped!!!

7 0

3 years ago

Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What

Kitty [74]

We are given : Cost of a gallon of milk = $2.50.

Cost of a cup of yogurt = $1.20.

Total money Monica has = $20.

Number of cups of yogurt Monica can buy = x.

And inequality made is also correct

1.20x + 2.5 ≤ 20.

Now, we need to solve it for x.

Subtracting 2.5 from both sides, we get

1.20x + 2.5 -2.5 ≤ 20 - 2.5.

1.20x ≤ 17.5

Dividing both sides by 1.20, we get

1.20x/1.20 ≤ 17.5/1.20.

x ≤ 14.5833...

Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.

3 0

3 years ago

Read 2 more answers

Plz help me step by step explanation would help for work plzzzz And Thank you PLEASE

AnnyKZ [126]

Answer:

i hope this helps

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A rental car company has noticed that the distribution of the number of miles customers put on rental cars per day is skewed to

kodGreya [7K]

Using the Central Limit Theorem, the correct option is:

--------------------------

The Central Limit Theorem states that, for a normally distributed variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means of size m are approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.

A similar problem is given at brainly.com/question/23088374

5 0

2 years ago

Only number one please help

Alex73 [517]

Answer:

C) 75 + 50x = 25 + 70x

Step-by-step explanation:

ABC Tech:

$50 an hour. So,for x hours= 50 * x = 50x

Service charge = 75 + 50x

Tech Squad:

$70 an hour. So,for x hours= 70 * x = 70x

Service charge = 25 + 70x

C) 75 + 50x = 25 + 70x

50x - 70x = 25 - 75

-20x = -50

x = -50/-20

x =5/2 = 2 $\frac{1}{2}$ hours

6 0

3 years ago