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Helen [10]
3 years ago
14

A bakery has three types of pie: apple, cherry, and peach. There are four times as many apple pies as peach pies. What is a poss

ible percentage for each type of pie? Fill in the table and explain or show your work below. (Hint: There are multiple correct answers for this problem)
Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

The purpose of this task is to help students see the connection between a÷b and ab in a particular concrete example. The relationship between the division problem 3÷8 and the fraction 38 is actually very subtle.

3÷8 is the number you multiply 8 by to get 3.

38 is the number you get by taking 3 copies of the unit fraction 18.

So 3÷8 is defined in terms of multiplication, and 38 is defined in terms of unit fractions. It is not obvious that these two numbers are the same, so students need opportunities to see that they will necessarily always be the same. Note that if b people share a pies equally, then each person will get ab of a pie by the same kind of reasoning shown in the solution below.

This task is probably best suited for instruction or formative assessment.

Step-by-step explanation:

You might be interested in
Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?
mixer [17]

Answer:

\angle ABD =42.4^{\circ}

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)

Since we are given that ∠ABC ≅ ∠CBD

So, \frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3

\angle CBD = (4x)=4(5.3)=21.2^{\circ}

\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}

Hence \angle ABD =42.4^{\circ}

8 0
3 years ago
chris has 5 stack of dvd each stack has10 dvds if chris add 2 more identical stacks of dvds to the shelves how many dvds will ch
Wewaii [24]
First if each stack has 10 cds and there is 5 stacks you do 10 X 5= 50. then you add two more stacks of 10 ( 2 stacks of 10=20) and add 20 to 50 which is 70
5 0
4 years ago
Factor this expression as a difference of squares: 4-(2a+3b)^2
Nadya [2.5K]
The complete factorized expression is (2 + 2a + 3b) (2 - 2a + 3b).
Take a look at the attachment to see how I got this solution. 

7 0
3 years ago
Which expression is equivalent to the given expression?<br> (10c6d-5)(2c-5d4
wolverine [178]

Answer:

if you simplify the expression you will get

20c^{7}d - 20 {c}^{6}  {d}^{2}

5 0
3 years ago
You survey 284 students about whether they use a laptop or tablet. One hundred
Murljashka [212]

In a <em>two-way frequency table</em>, the marginal frequencies is the 'total' entry for the row and the 'total' entry for the column

The result of the data organized in a <u>two way table</u> with the <u>marginal frequency</u> included is as follows;

\begin{array}{|l|c|c|c|}\mathbf{\underline{Device \ Student \ Use}}&\mathbf{\underline{Laptop}}&\mathbf{\underline{Do\  not \ use \ laptop}}&\mathbf{\underline{Total}}\\&&&\\\mathbf{Tablet}&49 &75&\underline{124}\\&&&\\\mathbf{Do\  not \ use \  tablet}&63&97&\underline{160}\\&&&\\\mathbf{Total}&\underline{112}&\underline{172}&284\\&&&\end{array}

The reason the above table is correct is as follows:

The known parameters are;

Number of students in the survey, <em>U</em> = 284 students

The number of students that use a laptop, <em>n(L) </em>= 112

The number of students that also use a tablet, <em>T ∩ L</em> = 49

The number of students that do not use a laptop or a tablet, n(T \cup L)^c  = 97

Required:

To organize the result of the survey in a two-way table

Solution:

U = n(T \cup L)^c + n(T ∪ L)

Therefore;

n(T ∪ L) = U - n(T \cup L)^c

n(T ∪ L) = 284 - 97 = 187

n(T ∪ L) = 187

The number of students that use only a laptop = n(L) - n(T ∩  L) = 112 - 49 = 63

The number of students that use only a laptop <em>[n(L) - n(T ∩  L)] </em>= 63

n(T ∪ L) = n(T) + n(L) - n(T ∩ L)

n(T) = n(T ∪ L) - [n(L) - n(T ∩ L)]

n(T) = 187 - 63 = 124

The number of students that use only tablets = n(T) - n(T ∩  L) = 124 - 49 = 75

The number of students that use only tablets, [n(T) - n(T ∩  L)] = 75

 

The results are organized in the attached two way table and the marginal frequencies are the <u>numbers underlined</u> in the totals column

\begin{array}{|l|c|c|c|}\mathbf{\underline{Device \ Student \ Use}}&\mathbf{\underline{Laptop}}&\mathbf{\underline{Do\  not \ use \ laptop}}&\mathbf{\underline{Total}}\\&&&\\\mathbf{Tablet}&49 &75&\underline{124}\\&&&\\\mathbf{Do\  not \ use \  tablet}&63&97&\underline{160}\\&&&\\\mathbf{Total}&\underline{112}&\underline{172}&284\\&&&\end{array}

Learn more about marginal frequencies here:

brainly.com/question/16401512

7 0
3 years ago
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