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3 years ago

What is the answer to numbers 2,3,4,5 and 6

Mathematics

2 answers:

sattari [20]3 years ago

7 0

Lets Start with Number 2
10 1/8 + ( 3 5/8 + 2 7/8)
Lets start with the parenthesis
10 1/8 + ( 3 5/8 + 2 7/8)
5 ( 12/8)
6 ( 4/8)
Now we add 10 1/8 + 6 4/8
16 5/8

Gekata [30.6K]3 years ago

5 0

All u have to do is PEMDAS

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PLEASE HELP (30 POINTS) Solve the rational equation x/3 = x^2/x + 5 , and check for extraneous solutions.

anygoal [31]

Option C: $x=0$ and $x=\frac{5}{2}$ are the solutions.

Explanation:

The equation is $\frac{x}{3} =\frac{x^{2} }{x+5}$

We shall determine the value of x, by simplifying the equation.

$\begin{aligned} x(x+5) &=3 x^{2} \\ x^{2}+5 x &=3 x^{2} \\ 2 x^{2}-5 x &=0 \\ x(2 x-5) &=0 \end{aligned}$

Thus, $x=0$ and $x=\frac{5}{2}$ are the solutions.

Now, let us check whether the solutions are extraneous solutions.

Let us substitute $x=0$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}&\frac{0}{3}=\frac{0^{2}}{0+5}\\&0=\frac{0}{5}\\&0=0\end{aligned}$

Thus, both sides of the equation are equal.

Hence $x=0$ is a true solution.

Now, Let us substitute $x=\frac{5}{2}$ in the original equation to check whether both sides of the equation are equal.

$\begin{aligned}\frac{\left(\frac{5}{2}\right)}{3} &=\frac{\left(\frac{5}{2}\right)^{2}}{\left(\frac{5}{2}\right)+5} \\\frac{5}{6} &=\frac{\left(\frac{25}{4}\right)}{\left(\frac{15}{2}\right)} \\\frac{5}{6} &=\frac{5}{6}\end{aligned}$

Thus, both sides of the equation are equal.

Hence, $x=\frac{5}{2}$ is a true solution.

Thus, solutions are not extraneous.

Hence, Option C is the correct answer.

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3 years ago

Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. If he uses 9 pints of yellow pai

kkurt [141]

<span>I know because 2:3 is the ratio for the first and when he gets 9 that is 3* more. So we multiply 3*2 of the red paint and we will get 6 </span>

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2 years ago

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Sedbober [7]

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now 11.225 times PIE is 35.264377537

so the answer is 35.264377537

hope that helped!

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2 years ago

What is the area of the shaded area?

denis-greek [22]

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3 years ago

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A rhombus is a four-sided figure with all sides the same length.

kumpel [21]

The perimeter of the rhombus FGHJ is 20 units

<h3>How to graph the rhombus</h3>

The coordinates are given as:

F = (-2, -2)

G = (-2, 3)

H = (2, 6)

From the question, we understand that vertex J is directly below vertex H.

This means that vertices H and J have the same x coordinate.

So, we have

J = (2, y)

The distance between F and G is 5 units,

So, we have

J = (2, y - 5)

Where

y = 6 i.e. the y coordinate of H

This gives

J = (2, 6 - 5)

Evaluate

J = (2, 1)

See attachment for the graph of the rhombus

<h3>The perimeter</h3>

In (a), we have:

The distance between F and G is 5 units,

This means that

FG = 5

The side lengths of a rhombus are equal.

So, the perimeter is

P = 4 * FG

This gives

P =4 * 5

Evaluate

P = 20

Hence, the perimeter of the rhombus is 20 units