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pochemuha
3 years ago
14

The number of Apple cakes is 4/5 of the number of strawberry cakes. There are 24 strawberry cakes more than apple pies. What per

centage of cakes are cranberry? Mr. Smith baked 144 Cakes of cranberry
Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
--------------------------------------------------------------------
Ratio Given
--------------------------------------------------------------------
Apple : Strawberry
4 : 5

--------------------------------------------------------------------
Find difference in parts
--------------------------------------------------------------------
5 - 4 = 1

--------------------------------------------------------------------
Find Number of strawberry cakes
--------------------------------------------------------------------
1 part = 24 cakes
5 parts = 24 x 5 = 120

--------------------------------------------------------------------
Find number of apple cakes
--------------------------------------------------------------------
1 part = 24 cakes
4 parts = 24 x 4 = 96 

--------------------------------------------------------------------
Total number of cakes 
--------------------------------------------------------------------
120 + 96 + 144 = 360

--------------------------------------------------------------------
Percentage of cranberry cakes
--------------------------------------------------------------------
144/360 x 100 = 40%

--------------------------------------------------------------------
Answer: 40% of the cakes are cranberry cakes
--------------------------------------------------------------------
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liq [111]

Answer:

\overline {PM} \cong \overline {ON} because they are opposite sides of a parallelogram.

Step-by-step explanation:

First of all, let us have a look at the definition of a parallelogram.

<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>

<em></em>

For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.

The two pair of lines are:

AB,  DC and BC, AD

For ABCD to be a parallelogram, the lines

AB and DC must be parallel to each other and AB = DC

AND

BC and AD must be parallel to each other and BC = DA

------------------------------

In the given question, we are given that the quadrilateral MNOP is a parallelogram.

The two pairs opposite lines are OP, NM and PM, ON.

As per the definition of a parallelogram,

OP and NM must be <em>parallel and equal </em>to each other.

AND

PM and ON must be <em>parallel and equal </em>to each other.

\therefore \overline {PM} \cong \overline {ON}.

Hence proved.

6 0
3 years ago
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