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3 years ago

Plzzzzz help worth 15 points

Mathematics

1 answer:

RSB [31]3 years ago

7 0

Answer:

$\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}$

Step-by-step explanation:

"one over threep + 15":

$\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}$

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On babylonian tablet ybc 4652, a problem is given that translates to this equation: x x plus startfraction x over 7 endfraction

seraphim [82]

The correct option is (A). The solution of the equation is x=48.125.

Given an equation $x+\frac{x}{7}+\frac{1}{11}\left(x+\frac{x}{7}\right)=60$ .

A statement that uses the equal sign to show that two expressions have the same value is called an equation. The equation is represented as ax+by=c.

Firstly, we will apply the distributive property to the given equation a×(b+c)=ab+ac, we get

$x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60$

Now, we will simplify the right-hand side equation by taking LCM, we get

$\begin{aligned}\frac{77x+11x+7x+x}{77}&=60\\ \frac{96x}{77}&=60\end$

Further, we will multiply both sides with 77, we get

77×(96x/77)=77×60

96x=4620

Then, we will divide both sides with 96, we get

96x/96=4620/96

x=48.125

Hence, the solution of the given equation $x+\frac{x}{7}+\frac{x}{11}+\frac{x}{77}=60$ is x=48.125.

Learn more about solution of equation from here brainly.com/question/1477785

#SPJ4

4 0

2 years ago

Y-8= - * - 4 y=-* 4 (3,-5) no solution an infinite number of solutions

muminat

Given:

The system of equation is

$y-8=-\dfrac{1}{3}x-4$

$y=-\dfrac{1}{3}x-4$

To find:

The solution of given system of equations.

Solution:

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

Write the given equation in slope intercept form.

The first equation is

$y-8=-\dfrac{1}{3}x-4$

$y=-\dfrac{1}{3}x-4+8$

$y=-\dfrac{1}{3}x+4$ ...(i)

Here, slope is $-\dfrac{1}{3}$ and y-intercept is 4.

The second equation is

$y=-\dfrac{1}{3}x-4$ ...(i)

Here, slope is $-\dfrac{1}{3}$ and y-intercept is -4.

Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.

Parallel lines never intersect each other. So, the given system of equation has no solution.

Hence, the correct option is B.

3 0

3 years ago

Round your answer to the nearest tenth.

Kruka [31]

Answer:

The value of MB = 8.4

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔJKL,

The point M is the centroid of the triangle.

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.

i.e.

KM = 2 MB

Given KM = 16.8

so substitute KM = 16.8 in the equation KM = 2 MB

16.8 = 2 MB

MB = 16.8/2

MB = 8.4

Therefore, the value of MB = 8.4

7 0

3 years ago

Read 2 more answers

Help me please !! I need this ASAP please helpppp

Kobotan [32]

Answer:

Step-by-step explanation:

$y=(2x-3)/5$

$5y=2x-3$

$(5y+3)/2=x$

$(5x+3)/2=y$

$f^{-1}(x)=(5x+3)/2$

8 0

3 years ago

Hi! I have a geometry question below, could someone please take a look?

AnnyKZ [126]

Answer:

109 degrees.

Step-by-step explanation:

m< AEB = 1/2 (98 + 120)

= 1/2 * 218

= 109 degrees.

7 0

3 years ago