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Vladimir [108]
3 years ago
8

Which of the following expressions are equivalent to \left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}(9 87​ +2 54​ )− 21​

(, 9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, ), minus, start fraction, 1, divided by, 2, end fraction?
Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:

12\dfrac{7}{40}

Step-by-step explanation:

The given expression is

\left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}

We need to find the simplified form of the given expression.

It can be rewritten as

\left(9+\dfrac{7}{8} + 2+\dfrac{4}{5}\right)-\dfrac{1}{2}

Combine integers and fractions separately.

(9+2)+(\dfrac{7}{8}+\dfrac{4}{5}-\dfrac{1}{2})

Taking LCM we get

11+\dfrac{35+32-20}{40}

11+\dfrac{47}{40}

In can be written as

11+\dfrac{40+7}{40}

11+1+\dfrac{7}{40}

12+\dfrac{7}{40}

12\dfrac{7}{40}

Therefore, the expression 12\dfrac{7}{40} is equivalent to the given expression.

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Alona [7]

Answer:

The answer is the last one

Step-by-step explanation:

Hope this helps

7 0
3 years ago
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply) Question
enot [183]

Answer:

Negative × positive = negative

positive ÷ negative = negative

negative ÷ positive = negative

positive x negative = negative

Step-by-step explanation:

1. Negative × positive = negative

- × + = -

2. positive ÷ negative = negative

+ ÷ - = -

3. positive ÷ positive = positive

+ ÷ + = +

4. negative x negative = positive

- × - = +

5. negative ÷ positive = negative

- ÷ + = -

6. positive x positive = positive

+ × + = +

7. negative ÷ negative = positive

- ÷ - = +

8. positive x negative = negative

+ × - = -

Negative × positive = negative

positive ÷ negative = negative

negative ÷ positive = negative

positive x negative = negative

Note: when the signs are different, they will give negative

When the signs are the same, they will give positive

8 0
3 years ago
Was a major accomplishment of both Tutankhamun and Rameses II.<br><br><br><br><br> Plz help
LenKa [72]

Answer:

AA similarity. The angles in both are the same.

Edit: I don't know if you need this, but a major accomplishment of King Tut and Ramses was that they encouraged the following of ancient religious beliefs among the Egyptian people .

Hope that this helps!

6 0
2 years ago
In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product.
Trava [24]

Answer:

To get an overall profit of $100,000, then 3,571 items is needed to be produced

Step-by-step explanation:

Mathematically;

Profit = Revenue - Production cost

In the question, we are told that the profit we are expecting is $100,000

Let the number of items to be produced for sales be x items

Now let’s look at the production cost ;

The production cost will be number of items for sale * production cost = 15 * x = $15x

Now, we need to add the start-up cost to the production cost to get the total amount spent on production;

Mathematically the total amount would be = $25,000 + $15x

Let’s look at the revenue;

The revenue will be selling price of each item * price of each item;

Mathematically, that would be 50 * x = $50x

So therefore;

50x - (25,000 + 15x) = 100,000

50x -25,000 -15x = 100,000

35x = 100,000 + 25,000

35x = 125,000

x = 125,000/35 = 3571.42 which is approximately 3,571 items

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3 years ago
How do you write 7.67 x 102 in standard form?
Grace [21]
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