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3 years ago

Rewrite 6 2/3 as an improper fraction

2 answers:

6 0

Your answer would be 20/3.

look at the fraction 6 2
_
3
Then you take 6*3=18+2 to get 20, then your denominator always stays the same so 20/3. to turn back into improper always do mixed number*denominator+numerator

That's the equation hope I could help! Have a good rest of your night;)

den301095 [7]3 years ago

3 0

6 * 3 = 18 + 2 = 20

improper fraction will be 20/3

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Writ the recurring decimal as 0.15 as a fraction in it's simplest form

Tema [17]

Answer:

3/20

Step-by-step explanation:

0.15 = 15*100/1*100

= 15/100

= 3/20

6 0

3 years ago

The measure of one angle is 13 less than five times The measure of another angle. The sum of the measure of the two angles is 14

kodGreya [7K]

$\huge\boxed{a=\frac{229}{2};\ \ b=\frac{51}{2}}$

<em>In decimal form, a = 114.5; b = 25.5</em>

We will write this as a system of equations, where $a$ and $b$ are the two angles.

$\left \{ {{a=5b-13} \atop {a+b=140}} \right$

We will use substitution to solve this system. We know what $a$ equals, so we plug that into the second equation.

$5b-13+b=140$

Combine the like terms.

$6b-13=140$

Add $13$ on both sides.

$6b=153$

Divide both sides by $6$ .

$b=\frac{153}{6}=\boxed{\frac{51}{2}}$

Now just subtract that from $140$ .

$a=140-\frac{51}{2}=\boxed{\frac{229}{2}}$

7 0

3 years ago

Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$