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Igoryamba
2 years ago
15

Add 77 -10 with its additive inverse.​

Mathematics
1 answer:
Ganezh [65]2 years ago
4 0

Answer: 77 - 10 = 67, and the additive inverse of 77 - 10 is 77 + 10. 77 + 10 = 87.

Hope this helps! This question was kind of confusing for me, because I didn’t understand why you said to add 77 - 10… is this is the incorrect answer sorry your question was worded weird

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A group of people went to a coffee shop.
Zielflug [23.3K]

Answer:

Fraction of the people chose a tart = \frac{13}{45}

Step-by-step explanation:

Given - A group of people went to a coffee shop. Each person chose a

            drink  and a treat. number of people who chose coffee: number of  

            people who chose tea = 1:4. Of those who chose coffee,  number of  

            people who chose a muffin number of people who chose a tart =    

            2:7. Of  those who chose tea,  number of people who chose a muffin  

            : number of people who chose a tart = 5:1.

To find - What fraction of the people chose a tart?

Proof -

Let the Total number of People went to a coffee shop = 5x

Now,

As given, number of people who chose coffee: number of people who chose tea = 1:4

⇒Total number of people who chooses coffee = \frac{1}{5}.5x = x

  Total number of people who chooses tea  = \frac{4}{5}.5x = 4x

Now,

As given,

Of those who choose coffee,  number of people who chose a muffin number of people who chose a tart = 2:7

⇒Total number of people who choose muffin after coffee = \frac{2}{9}x

   Total number of people who choose tart after coffee = \frac{7}{9}x

Also,

Given that

Of those who chose tea,  number of people who chose a muffin : number of people who chose a tart = 5:1

⇒Total number of people who choose muffin after tea = \frac{5}{6}.4x = \frac{20}{6}x

   Total number of people who choose tart after tea = \frac{1}{6}.4x = \frac{4}{6}x

∴ we get

Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea

⇒Total number of people who chooses tart = \frac{7}{9}x + \frac{4}{6}x

                                                                         = \frac{7}{9}x + \frac{2}{3}x

                                                                         = \frac{7x + 6x}{9}

                                                                         = \frac{13}{9}x

⇒Total number of people who chooses tart = \frac{13}{9}x

Now,

Fraction of the people chose a tart = \frac{People choose tart}{Total people}

                                                           = \frac{\frac{13}{9}x }{5x}

                                                           = \frac{13}{45}

⇒Fraction of the people chose a tart = \frac{13}{45}

4 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
worty [1.4K]

Answer:

The maximum height is 1087.06 ft.

Step-by-step explanation:

We need to take the derivative of the equation and set it to 0.

y' = - 32x + 254 = 0\\32x = 254\\x = 7.9375

We now can plug x = 7.9375 into the original equation.

y=-16x^{2} +254x+79\\y=-16(7.9375)^{2}+254(7.9375)+79\\y=1087.06 ft

7 0
2 years ago
Read 2 more answers
A container is 24m long ,9m wide and 8m high.how many books can it holds if eachbook is 20cm long,16cm wide and 6cm thick
Contact [7]
Assuming that the container and books are rectangular, the volume of both objects can be computed with the formula V=lwh, where l is length, w is width, and h is height.
As the volume of the container is 1728 m^3, while the volume of each book is 1920 cm^3. The volume for each book is converted to in terms of meters by dividing it with 100^3. The volume for each  book after this conversion is 1.92 x 10^-3 m^3.
The number of the books that can fit in the shelf is the volume of the shelf divided by the volume of the books, with the assumption that the books fit perfectly in the shelf.
With the volume of the shelf divided by the volume of the books, 900,000 books can be fitted in the shelf.
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3 years ago
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kenny6666 [7]

Answer:

no

Step-by-step explanation:

if he randomly pulls it out it's still the same number of red cards and also the total number of cards as always

can't change

6 0
2 years ago
Read 2 more answers
What is the difference between 12/8 and 3/4?
Katen [24]

Answer:

3/4

Step-by-step explanation:

Difference means subtraction

12/8 - 3/4

We need a common denominator of 8

12/8 - 3/4 * 2/2

12/8  - 6/8

 6/8

Divide by 2 in the numerator and denominator

 3/4

6 0
3 years ago
Read 2 more answers
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