Write a doubles fact that can help you solve 6+5=11

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

3 0

6 = 5 + 1, then (5 + 1) + 5 = 11, (5 + 5) + 1 = 11, 10 + 1 = 11

You might be interested in

8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

_______________

Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: <em>rational equation fraction solution algebra</em>

7 0

3 years ago

What is the equivalent fraction of 60/98

scoray [572]

$\frac{60}{98}=\frac{60:2}{98:2}=\boxed{\frac{30}{49}}\\\\\frac{60}{98}=\frac{60\cdot2}{98\cdot2}=\boxed{\frac{120}{196}}\\\\\frac{60}{98}=\frac{60\cdot3}{98\cdot3}=\boxed{\frac{180}{294}}\\\vdots\\\frac{60}{98}=\frac{60\cdot10}{98\cdot10}=\boxed{\frac{600}{980}}\\\vdots$