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Wewaii [24]
3 years ago
5

Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the

remaining muffins as possible into 13 containers so that each container has the same number of muffins. How many of the remaining muffins does Ieda have left over? 2 oatmeal muffins 3 oatmeal muffins 4 oatmeal muffins 5 oatmeal muffins
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

3 oatmeal muffins

Step-by-step explanation:

First, subtract the 5 muffins she dropped from the total:

73 - 5

= 68

Then, divide this by 13:

68/13

= 5.23

We need a whole number of muffins in each container, so round this down to 5.

This means that there can be 5 muffins in each of the 13 containers.

Find how many will be leftover:

5(13)

= 65

68 - 65

= 3

So, there will be 3 oatmeal muffins left

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The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true?
Ivan

<em>Option:</em>

<em>a. for every 13 dogs, there are 25 cats. </em>

<em>b. there are twice as many cats as dogs at the shelter. </em>

<em>c. the shelter has more dogs than cats. </em>

<em>d. there are 25 animals in the shelter.</em>

Answer:

a. for every 13 dogs, there are 25 cats.

<em></em>

Step-by-step explanation:

Represent Dogs with D and Cats with C;

So;

\frac{D}{C} = \frac{13}{25}

By comparison:

D=13

C = 25

This implies that:

For every 13 D, there are 25 C

Hence: Option A is true

6 0
3 years ago
The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p
Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0
3 years ago
Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th
Ilya [14]

Answer:

13 1/3 and  6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' =  40x - 3x^2 = 0   for  maxm/minm value.

x( 40 - 3x) = 0

40 - 3x = 0

3x = 40

x = 40/3.

This is a maximum because the second derivative y" =  40 - 6x = 40 - 6(40/3)) is negative.

So the 2 numbers are 13 1/3 and  6 2/3.

3 0
3 years ago
2, 4, 13, 49, 193,
PolarNik [594]

If we begin with the first term, 2, mult. it by 4 and then subtract 3, we get 5 (not 4, as shown).

If we begin with 4, mult. it by 4 and then subtract 3, we get 13. This agrees with the terms of the given sequence.

If we begin with 13, mult. it by 4 and then subtract 3, we get 49. This agrees with the terms of the given sequence.

Remove the first term, 2, and then the remaining terms follow the given procedure for finding terms.


7 0
3 years ago
Read 2 more answers
Which of the following is a rational number (4 points) 15 ,16,21,22
yulyashka [42]
16 is the rational number, hope this is helpful
5 0
3 years ago
Read 2 more answers
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