3 2/3+ 8 7/12 I need the work

Mathematics

2 answers:

svetlana [45]3 years ago

5 0

Answer:

12 1/4

Step-by-step explanation:

3 2/3 + 8 7/12

Convert to like denominators,

3 8/12 +8 7/12

3 + 8 = 11

8/12 + 7/12 = 15/12 or 1 3/12 simplified to 1 1/4

1 1/4 + 11 = 12 1/4

castortr0y [4]3 years ago

4 0

Answer:

$\frac{49}{4}$

Step-by-step explanation:

Convert each to a improper fraction

$3 \frac{2}{3} = \frac{11}{3}$

$8\frac{7}{12} = \frac{103}{12}$

$\frac{11}{3} +\frac{103}{12} = \frac{49}{4}$

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"Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an acute triangle.

Contact [7]

A, b, c - the lengths of the sides of the triangle
and a ≤ b ≤ c
then:
a + b > c and if the triangle is an acute triangle then a² + b² > c².

$1^o\\5\leq10\leq x\\\\\left\{\begin{array}{ccc}5+10 \ \textgreater \ x\\5^2+10^2 \ \textgreater \ x^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \ 15\\ x^2 \ \textless \ 125\end{array}\right\to\left\{\begin{array}{ccc}x \ \textless \ 15\\ x \ \textless \ \sqrt{125}\approx11.1\end{array}\right\\\\\boxed{x=11}\\\\2^o\\5\leq x\leq10\\\\\left\{\begin{array}{ccc}5+x \ \textgreater \ 10\\ 5^2+x^2 \ \textgreater \ 10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x=9}$

$3^o\\x\leq5\leq10\\\\\left\{\begin{array}{ccc}x +5 \ \textgreater \ 10\\ x^2+5^2 \ \textgreater \ 10^2\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x^2 \ \textgreater \ 75\end{array}\right\to\left\{\begin{array}{ccc}x \ \textgreater \ 5\\ x \ \textgreater \ \sqrt{75}\approx8.7\end{array}\right\\\boxed{x\in\O}\\\\Answer:\boxed{x=9\ or\ x=11}\to your\ answer:\boxed{\boxed{x=11}}$

8 0

3 years ago

Read 2 more answers

Prove: The sum of two multiples of 3 is a multiple of 3

andrey2020 [161]

Answer:

3 . . . goes in both boxes

Step-by-step explanation:

Use the distributive property. Remove the common factor to outside parentheses:

3(m +n) = a multiple of 3

6 0

3 years ago