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garri49 [273]
4 years ago
8

The sum of three numbers is 7. One of the numbers is one more than the sum of the other two numbers. It is also four times the d

ifference between the two numbers.
Mathematics
2 answers:
alexira [117]4 years ago
7 0
a,\ b;\ c-the\ numbers\\\\\begin{array}{ccc}(1)\\(2)\\(3)\end{array} \left\{\begin{array}{ccc}a+b+c=7\\a-1=b+c\\a=4(b-c)\end{array}\right\\subtitute\ (3)\ to\ (2)\ and\ (1)\\  \left\{\begin{array}{ccc}4(b-c)+b+c=7\\4(b-c)-1=b+c\end{array}\right\\ \left\{\begin{array}{ccc}4b-4c+b+c=7\\4b-4c-1=b+c&|subtract\ from\ both\ sides\ "b"\ and\ "c"\&\ add \ 1\end{array}\right\\\left\{\begin{array}{ccc}5b-3c=7&|\multiply\ both\ sides\ by\ 3\\3b-5c=1&|both\ sides\ by\ (-5)\end{array}\right
\underline{+\left\{\begin{array}{ccc}15b-9c=21\\-15b+25c=-5\end{array}\right}\\.\ \ \ \ \ 16c=16\ \ \ |divide\ both\ sides\ by\ 16\\.\ \ \ \ \boxed{c=1}\\\\Subtitute\ the\ value\ of\ c=1\ to\ 3b-5c=1\\\\3b-5\cdot1=1\\3b-5=1\ \ \ |add\ 5\ to\ both\ sides\\3b=6\ \ \ |divide\ both\ sides\ by\ 3\\\boxed{b=2}\\\\Subtitute\ the\ values\ of\ c=1\ and\ b=2\ to\ the\ a+b+c+=7\\\\a+2+1=7\\a+3=7\ \ \ |subtract\ 3\ from\ both\ sides\\\boxed{a=4}\\\\Answer:\boxed{4;\ 2;\ 1}
Sedaia [141]4 years ago
5 0
The only numbers I could think of would be 1, 2, and 4 because 4 is greater than 3 (2+1) and four times greater than 1 (2-1)
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A circular pizza that is 18 inches in diameter is cut into 8 equal slices. What is the area of a single slice?
Fiesta28 [93]

Answer:

31.8 in^2

Step-by-step explanation:

The area of a circle is pi×radius^2.

r=.5d=18/2=9

A=(3.14159)(9^2)=(3.14159)(81)=254.5

And if each peice is of equal area, the area of one peice will equal:

254.5/8=31.8

6 0
3 years ago
HELP!!!! I think its C but I'm not sure!
MA_775_DIABLO [31]

Answer:

The fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are x=1\pm i\sqrt{7}.

Step-by-step explanation:

Consider the provided information.

Algebra's fundamental theorem states that: Every polynomial equation of degree n with complex coefficients has n roots in the complex numbers.

Now consider the provided equation.

2x^2-4x+16=0

The degree of the polynomial equation is 2, therefore according to Algebra's fundamental theorem the equation have two complex roots.

Now find the root of the equation.

For the quadratic equation of the form ax^2+bx+c=0 the solutions are: x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=2,\:b=-4,\:\ and \ c=16 in above formula.

x_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:2\cdot \:16}}{2\cdot \:2}

x_{1,\:2}=\frac{4\pm \sqrt{16-128}}{4}

x_{1,\:2}=\frac{4\pm \sqrt{-112}}{4}

x_{1,\:2}=\frac{4\pm 4i\sqrt{7}}{4}

x_{1,\:2}=1\pm i\sqrt{7}

Hence, the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. The roots are x=1\pm i\sqrt{7}.

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3 years ago
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sladkih [1.3K]

Answer:

15

Step-by-step explanation:

pretty sure dont get mad if i am wrong tho

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3 years ago
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frutty [35]
1/6=16.666666...

So it is 16.6666.... to 6(or 100)

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3 years ago
A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from a bag. What is the theo
alexandr1967 [171]

Answer:

⅓

Step-by-step explanation:

8+7+6

total= 21

blue= 7÷21

1/3

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3 years ago
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