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2 years ago

Is this right, if not then what is the equivalent expression of it, please make the answer easy and simple

Mathematics

1 answer:

FrozenT [24]2 years ago

7 0

Answer:

$\dfrac{6x+2}5}$

Step-by-step explanation:

The given expression is :

$\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}$

We need to write the equivalent expression for the above expression.

Taking like terms together,

$=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}$

So, the equivalent expression is $\dfrac{6x+2}5}$ .

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How do I solve 2m + n = 2 and 3m - 2n = 3 using substitution?

Leona [35]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Solve 2m + n = 2 and 3m - 2n = 3 using substitution.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

We can use the substitution method to solve linear equations of this form. Let's solve for m & n.

$\left. \begin{array} { l } { 2 m + n = 2 } \\ { 3 m - 2 n = 3 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2m+n=2, \: 3m-2n=3$

Choose one of the equations and solve it for m by isolating m on the left-hand side of the equal sign.

$2m+n=2$

Subtract n from both sides of the equation.

$2m=-n+2$

Divide both sides by 2.

$m=\frac{1}{2}\left(-n+2\right) \\$

Multiply 1/2 times -n+2.

$m=-\frac{1}{2}n+1 \\$

Substitute $-\frac{n}{2}+1\\$ for m in the other equation, 3m-2n=3.

$3\left(-\frac{1}{2}n+1\right)-2n=3 \\$

Multiply 3 times $-\frac{n}{2}+1\\$ .

$-\frac{3}{2}n+3-2n=3 \\$

Add $-\frac{3n}{2}\\$ to -2n.

$-\frac{7}{2}n+3=3 \\$

Subtract 3 from both sides of the equation.

$-\frac{7}{2}n=0 \\$

Divide both sides of the equation by $-\frac{7}{2}\\$ , which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{\underline{ \bf \: n=0 }}$

Substitute 0 for n in $m=-\frac{1}{2}n+1\\$ . Because the resulting equation contains only one variable, you can solve for m directly.

$\large \underline{ \underline{\bf \: m=1 }}$

The system is now solved.

$\huge \boxed{ \boxed{ \bf \: m=1, \: n=0 }}$

4 0

3 years ago

Aaron says that all

Softa [21]

Answer:

Step-by-step explanation:

Look at the figure attached below, we know that the area of the cone is the sum of area of circle part and cone part of the figure.

to find the surface area of the cone, first measure the radius of the base and find the area of the circle part by formula $\pi r^2$ . Then measure the side (slant height) length of the cone part and find the area of the cone part by the formula $\pi rl$ .

Now the surface area of the cone is circumference of the circle plus area of the cone part.

i.e. $surface\ Area\ of\ the\ cone=\pi r^{2}+\pi rl$

From the above discussion we concluded that surface area of the cone does not depend only on the circumference of the base but also we need side length of the cone part as well thus all cones with a base circumference of 8 inches will not have the same surface area.