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garri49 [273]
3 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]3 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]3 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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Darya [45]

Answer:

a^7/b^6

Step-by-step explanation:

3 0
3 years ago
45+ 46+47+ 48+ ... 113 + 114Gauss approach
Doss [256]

Answer:

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Step-by-step explanation:

1+2+3+4...+113+114=\frac{114*115}{2} =6555

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Thus, 45+46+47+48...+113+114= 6555-990=5565

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3 years ago
Can someone explain to me how to do question number 6 please?
slavikrds [6]
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7 0
2 years ago
Solve each of the following for the indicated variable.a. 9 − 6 = 54 for yb. = 2 + 2 for l
marta [7]

Answer:

\begin{gathered} y=\frac{9}{6}x-9 \\ l=\frac{P}{2}-w \end{gathered}

Step-by-step explanation:

To solve the following equations, we need to isolate the variable asked using inverse operations to solve equations.

Remember that addition and subtraction are inverse operations, as multiplication and division.

Therefore,

\begin{gathered} a\text{. Solve for y} \\ 6y=9x-54 \\ y=\frac{9}{6}x-\frac{54}{6} \\ y=\frac{9}{6}x-9 \end{gathered}\begin{gathered} b\text{. Solve for l} \\ P=2l+2w \\ 2l=P-2w \\ l=\frac{P}{2}-\frac{2}{2}w \\ l=\frac{P}{2}-w \end{gathered}

4 0
1 year ago
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BabaBlast [244]
There are two ways you can write it:
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2. 30 + 6 + 0.1 + 0.03
Either is correct :)
4 0
3 years ago
Read 2 more answers
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