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vaieri [72.5K]
2 years ago
9

There are 12 servings in a box of cereal. Each day, Ryan eats 2 servings of cereal. What fraction of the full box of cereal has

Ryan eaten after 5 days?
Mathematics
1 answer:
EleoNora [17]2 years ago
5 0
2 servings over 5 days = 2 x 5 = 10

10/12 = 5/6 (simplified fraction)

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If Amanda walks at an average speed of 2.72 miles per hour how long will it take her to walk 6.8 miles
Kipish [7]
It would take her about 2.5 hours
4 0
3 years ago
Please answer!!!! will make brainliest!!!
hammer [34]

Answer:

B

Step-by-step explanation:

1.

  • 3(x+3) - 2 < 4
  • 3x + 9 -2 < 4
  • 3x < 4-7
  • 3x < - 3
  • x < -1
  • x = (-oo, -1)

2.

  • 1 - x ≤ -1
  • - x ≤ -1 - 1
  • -x ≤ -2
  • x ≥ 2
  • x = [2, +oo)

Correct choice is B.

7 0
3 years ago
Martina's fish tank has 15 liters of water in it. She plans to add 5 liters per minute until the tank has at least 55 liters. Wh
Black_prince [1.1K]

Answer:

every 5 minutes ....

Step-by-step explanation:

3 0
2 years ago
There are 40 people at Drake's sweet sixteen party. Drake's only rule is that everyone in the party must meet and shake each oth
nikdorinn [45]
1) This is a combination, so use ⁴⁰C₂.
     ⁴⁰C₂ = 780
     There are 780 handshakes in total.

2) I got my solution by using the combinations formula. Or another way you              could do this is to add up... 39 + 38 + 37 + 36 + 35 + 34 + 33 + 32 + 31... +1.          You will end up with 780 (I did this to double check my work).

3) The quickest way to figure this out if Drake invited 1,000 people is to use the       natural numbers formula = n(n+ 1)/2.
     Plug the numbers in: 999(1000)/2 = 499,500 
     If Drake invited 1,000 people, there would be 499,500 handshakes.

7 0
3 years ago
Read 2 more answers
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
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