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Illusion [34]
3 years ago
15

There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate? *

Mathematics
2 answers:
bulgar [2K]3 years ago
5 0

Answer:

<h3>                \bold{\dfrac8{15}}  of the cake       </h3>

Step-by-step explanation:

\dfrac45-\dfrac13\cdot\dfrac45=\dfrac{4\cdot3}{5\cdot3}-\dfrac4{15}=\dfrac{12}{15}-\dfrac4{15}=\dfrac8{15}

tatyana61 [14]3 years ago
3 0
There was 3/3 of the cake left
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6 0
3 years ago
System of linear equations.<br> 2x + 4y =, 10<br> 2x + 2y + 3z = 3<br> -3x + y + 2z = -3
Dimas [21]

Answer:

x = 1, y = 2, z = -1

Step-by-step explanation:

2x + 4y = 10

2x = -4y + 10

x = -2y + 5

now sub -2y + 5 in for x, back into the other 2 equations

2x + 2y + 3z = 3                                   -3x + y + 2z = -3

2(-2y + 5) + 2y + 3z = 3                       -3(-2y + 5) + y + 2z = -3

-4y + 10 + 2y + 3z = 3                           6y - 15 + y + 2z = -3

-2y + 3z = 3 - 10                                    7y + 2z = - 3 + 15

-2y + 3z = - 7                                         7y + 2z = 12

-2y + 3z = -7....multiply by 2

7y + 2z = 12...multiply by -3

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

-4y + 6z = -14 (result of multiplying by 2)

-21y - 6z = -36 (result of multiplying by -3)

---------------------------add

-25y = - 50

y = -50/-25

y = 2 <===

2x + 4y = 10                        2x + 2y + 3z = 3

2x + 4(2) = 10                      2(1) + 2(2) + 3z = 3

2x + 8 = 10                          2 + 4 + 3z = 3

2x = 10 - 8                            6 + 3z = 3

2x = 2                                   3z = 3 - 6

x = 2/2                                 3z = -3

x = 1  <==                              z = -3/3

                                            z = -1 <===

3 0
3 years ago
5x + 2y = 7
k0ka [10]
5x + 2y = 7 . . . (1)
y = x + 1 . . . (2)
Putting (2) into (1) gives
5x + 2(x + 1) = 7 => 5x + 2x + 2 = 7 => 7x = 7 - 2 = 5 => x = 5/7
From (2) y = 5/7 + 1 = 12/7

Therefore, solution is {(5/7, 12/7)}
3 0
3 years ago
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