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natima [27]
2 years ago
7

Katie baked a cake. Her brother ate 1/8 of the cake, her father ate 1/4 of the cake, and her mother ate 1/8 of the cake. How muc

h is left?
Mathematics
1 answer:
svetoff [14.1K]2 years ago
3 0

Answer:

1/2

Step-by-step explanation:

hope this helps and have a nice day!

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Solve the equation. Check the solution. Use a graphing calculator.
sergey [27]

Solution

We solve the equation

\begin{gathered} \frac{3}{x+3}+\frac{6}{x-3}=3 \\  \\ Divide\text{ through by 3} \\  \\ \frac{1}{x+3}+\frac{2}{x-3}=1 \\  \\ Clearing\text{ fraction} \\  \\ x-3+2x+6=x^2-9 \\ 3x+3=x^2-9 \\  \\ x^2-3x-12=0 \end{gathered}

We now solve the quadratic equation

\begin{gathered} x^2-3x-12=0 \\  \\ Using\text{ formula method} \\  \\ x=\frac{3\pm\sqrt{3^2-4(1)(-12)}}{2} \\  \\ x=\frac{3\pm\sqrt{9+48}}{2} \\  \\ x=\frac{3\pm\sqrt{57}}{2} \\  \\ Therefore,\text{ the two answers are given below and corrected to two decimal places} \\  \\ x=5.27 \\ and \\ x=-2.27 \end{gathered}

The graph is given below

8 0
2 years ago
Your rent is 750/month. What should your minimum realized income be
Cerrena [4.2K]

Answer:

2500/month

Step-by-step explanation:

Usually, people should not allocate more than 30% of their earnings to pay for rent. So, you can use the rule of three to calculate the value:

30% ------ 750

100% ----- X

X= 100x750/30 =2500

It is important to note that realized income is when any amount of capital is gained, so it is the income that that is actually received from different sources, including a salary, a wage, rental income, or the sale of any good.

8 0
3 years ago
Could someone please help me with this​
kicyunya [14]

Answer: i think it would be D

Step-by-step explanation:

7 0
3 years ago
Solve the system of equations.
Dafna1 [17]
If you put them together, +2.5y and -2.5y neutralize themselves while 5x and 3x become 8x.

2.5y + 3x = 27
5x – 2.5y = 5

8x = 32
x = 4

2.5y + 3x4 = 27
2.5y + 12 = 27
2.5y = 27-12
2.5y = 15
y = 15/2.5
y = 6

X = 4
Y = 6
8 0
4 years ago
Read 2 more answers
An isosceles triangle with legs of 8 cm and a base of 10 cm in length has a median drawn
bazaltina [42]

Answer:

89 cm and vertex 8cm length of the seng.ent 10 cm

7 0
2 years ago
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