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lina2011 [118]
2 years ago
11

Amelie has 385 muffins that she must package into boxes. Each box must hold 9 muffins. Amelie divides 385 by 9 and gets an answe

r of 42 R 7.
What is the correct interpretation of R 7 for this situation?

1st one : Amelie can fill at most 42 boxes with 7 muffins each
2nd one :Amelie has 7 muffins left after filling 42 boxes.
3nd one :Amelie has 7 boxes left after filling 42 boxes.
4th one :Amelie can fill 7 more boxes after filling 42 boxes.
Mathematics
1 answer:
Phantasy [73]2 years ago
6 0

Answer:

2nd one: amelia has 7 muffins left after filling 42 boxes

Step-by-step explanation:

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It takes a new mail carrier 4 hours to deliver the mail on route a. It takes an experienced mail carrier 3 hours to do the same
Pani-rosa [81]

Answer: \frac{12}{7}\ \text{hours}

Step-by-step explanation:

Given

New mail carrier takes 4 hours for delivery i.e.

New mail carrier completes \frac{1}{4} part of work in 1 hour

Old mail carrier takes 3 hours for delivery  i.e.

mail carrier completes \frac{1}{3}  part of work in 1 hour

If they work together, they complete the work in x hours i.e.

\Rightarrow \dfrac{1}{x}=\dfrac{1}{4}+\dfrac{1}{3}\\\Rightarrow \dfrac{1}{x}=\dfrac{3+4}{12}\\\Rightarrow x=\dfrac{12}{7}\ \text{hours}

4 0
3 years ago
How many triangles will be in the 5th set of triangles?
tia_tia [17]

Answer:

25.

Step-by-step explanation:

I am assuming you only mean the small triangles, not the composite ones.

The  second  triangle set has 3 triangles on bottom row and 1 on the top - total 4.

The 3rd triangle set has 5 triangles on the bottom , 3 on the next up and 1 on the top  - total  9

Following the pattern 4th set will have the number of triaNGLES

7 + 5 + 3 + 1 = 16.

So the 5th will have 9 + 7 + 5 + 3 +1 = 25 triangles.

6 0
3 years ago
How to write 12/5 as a mixed number
Marat540 [252]

Answer:

2 2/5

Step-by-step explanation:

divide 12 into 5 you get 2.4

2.4 is the same as 2 4/10 which can be equal to 2 2/5

3 0
3 years ago
Read 2 more answers
Find the function r that satisfies the given condition. r'(t) = (e^t, sin t, sec^2 t): r(0) = (2, 2, 2) r(t) = ()
lesantik [10]

Answer:

r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2)

Step-by-step explanation:

A primitive of e^t is e^t+c, since r(0) has 2 in its first cooridnate, then

e^0+c = 2

1+c = 2

c = 1

Thus, the first coordinate of r(t) is e^t + 1.

A primitive of sin(t) is -cos(t) + c (remember that the derivate of cos(t) is -sin(t)). SInce r(0) in its second coordinate is 2, then

-cos(0)+c = 2

-1+c = 2

c = 3

Therefore, in the second coordinate r(t) is equal to -cos(t)+3.

Now, lets see the last coordinate.

A primitive of sec²(t) is tan(t)+c (you can check this by derivating tan(t) = sin(t)/cos(t) using the divition rule and the property that cos²(t)+sin²(t) = 1 for all t). Since in its third coordinate r(0) is also 2, then we have that

2 = tan(0)+c = sin(0)/cos(0) + c = 0/1 + c = 0

Thus, c = 2

As a consecuence, the third coordinate of r(t) is tan(t) + 2.

As a result, r(t) = (e^t +1, -cos(t) + 3, tan(t) + 2).

6 0
3 years ago
Is 5 a integer or a whole number or a rational number? or all?
madreJ [45]
Integer??? Idk I'm sorry....
5 0
3 years ago
Read 2 more answers
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