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3 years ago

Solve the equation. Check your solution. 8/x=5/x+4

Mathematics

1 answer:

swat323 years ago

6 0

8/x -5/x=4
multiple x on both side
8-5=4x
3=4x
x=3/4

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Samantha has $300 for guitar lessons to learn her favorite song mr. Jones charges $800 per lesson and requires three lessons to

Ne4ueva [31]

Mr.Jones charges $800 per lesson and requires 3 lessons

That means mr Jones will charge Samantha 800x3 = $2400 in total.

Mr. Police charges $62 per lesson and requires 4 lessons,

62x4 = $248 in total.

Since mr. Police charges less than mr.Jones, it would be a better deal for Samantha.

IN CASE YOU WROTE THE QUESTION WRONG AND MR JONES CHARGES $80 PER LESSON

In that case it would be 80x3 = $240 in total

mr jones would charge less now and it would be better deal for Samantha.

5 0

2 years ago

For the past 25 days, jonathon has read for n minutes each day. His total number of minutes read is 875. Write an equation to ex

liubo4ka [24]

Answer:

Required equation is: 25n = 875

Step-by-step explanation:

Let n be the number of minutes Jonathon read per day

Now

He read for 25 days and total 875 minutes

The equation will be:

$25n = 875$

We can solve this equation to find the number of minutes each day

Using Division property of Equality

$\frac{25n}{25} = \frac{875}{25}\\n = 35$

Hence,

Required equation is: 25n = 875

6 0

2 years ago

1. Find each measure. a) m20 8 R Select 110" S 8 T c)

Zepler [3.9K]

Answer:

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7 0

2 years ago

Read 2 more answers

What is 0+0? (i obviously know it but its to give out points.)

Reptile [31]

Answer:

Step-by-step explanation:

0+0=0

6 0

3 years ago

Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

ANSWER

${r}^{2} = 4 \cos2\theta$

EXPLANATION

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago