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Assoli18 [71]
3 years ago
6

The class party started with five chocolate cakes cut in fourths as shown below in the example.

Mathematics
1 answer:
professor190 [17]3 years ago
5 0
<h3>Answer:     7/20</h3>

============================================================

Explanation:

One large square cake cuts into 4 smaller slices

Since we have 5 such cakes that are cut like this, we have 5*4 = 20 slices all together.

Count the number of dark shaded slices that are shown in the lower diagram. We have 4+3+4+2 = 7+6 = 13 slices of cake that are left over. This must mean the class ate 20-13 = 7 slices.

The fraction of the cakes eaten is 7/20

Notes:

  • 7/20 = 35/100 = 0.35 = 35%
  • The fraction 7/20 cannot be reduced further because 7 and 20 have no common factors other than 1.
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Blababa [14]

Answer:

(0,-5) and (-4,3)

Step-by-step explanation:

The given equations are

\left \{ {{x^2+y^2=25} \atop {2x+y=-5}} \right.

Make y the subject in the second equation;

y=-2x-5

Substitute into the first equation;

x^2+(-2x-5)^2=25

Expand:

x^2+4x^2+20x+25=25

x^2+4x^2+20x+25-25=0

5x^2+20x=0

5x(x+4)=0

\Rightarrow x=0,x=-4

When x=0,

y=-2(0)-5=-5

This gives; (0,-5)

When x=-4

y=-2(-4)-5=3

This gives (-4,3)

7 0
3 years ago
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DerKrebs [107]
Statement : Val spent $ 34 for the 2 items

contradiction : Neither of the 2 items that Val bought cost more then $ 15

think about it....if neither of them cost more then 15....lets say they cost 15 each...then there is no way he spent $ 34.....he would spend at most $ 30
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A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo
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Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0
3 years ago
Look at the given image. Which of the following statements, if true, would alone prove p || 4?
marissa [1.9K]

Answer

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Explanation:

Congruence of these two angles directly implies p||q.

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3 years ago
What math symbols are missing to make the equation right: 7 3 7 3 = 24 can not change order of numbers you may use parentheses,
Citrus2011 [14]
<h2>7  -   3   + (7     x     3)      =     24 </h2>

Step-by-step explanation:

Here, the given expression is:

7   3     7     3      =     24

Here, to get the desired expression:

7 - 3  = 4

4 + ( 7 x 3 )  = 4 + (21)   = 24 = Right Side.

So, the given expression can  be written as:

7  -   3   + (7     x     3)      =     24

3 0
3 years ago
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