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2 years ago

9

Jeff subscribed to cable for 75.00 a month and 140.00 installation andrew has another cable co. For 20.00 installation and 90.00

a month. In how many months will we be paying the same amount for their service.? And what will be the amount they pay?

1 answer:

lilavasa [31]2 years ago

7 0

8 months; $740

75x+140=90x+20
Find x then plug it in to find the cost

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stealth61 [152]

$\large\underline{\sf{Solution-}}$

We have to <u>evaluate</u> the given <u>expression</u>.

$\rm = \sqrt{ \dfrac{1 - \sin(x) }{1 + \sin(x) } }$

If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.

$\rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} }$

$\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } }$

<u>We know that:</u>

$\rm \longmapsto { \sin}^{2}(x) + \cos^{2}(x) = 1$

$\rm \longmapsto \cos^{2}(x) = 1 - { \sin}^{2}(x)$

Therefore, <u>the expression becomes:</u>

$\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}}$

$\rm = \dfrac{1 - \sin(x)}{\cos(x)}$

$\rm = \dfrac{1}{\cos(x)} - \dfrac{ \sin(x) }{ \cos(x) }$

$\rm = \sec(x) - \tan(x)$

7 0

2 years ago

Read 2 more answers

some students want to order shirts with their school logo.onr company charges $9.00 per shirt plus a setup fee for $43.another c

Amanda [17]

Let's let x be the number of t-shirts.

So the first company charges $43 plus $9 per shirt. For x shirts, the cost is the base fee plus 9 times x, or $C=9x+43$ .

The second company charges a $58 fee plus $8 per shift. The cost is $C=8x+58$ .

Now, we want to find which fee is less when we are buying 20 shirts. We plug in 20 for x.

The first company charges $C=9(20)+43=223$ .

The second company charges $C=8(20)+58=218$ .

The costs are VERY close, but the second company ultimately charges less.

5 0

3 years ago

Write the following in order from smallest to largest: 3\12, 0.146, 5\7, 0.279

Brrunno [24]

Answer:

3/12 0.146 0.279 5/7

Step-by-step explanation:

3/12 = 0.25

5/7 = 0.71428571428

6 0

2 years ago

What is the sum in simplest form?<br> 41 +13 = 1

Alborosie

Answer:

x + y = 41

x - y = 13

------------------

2x = 54..............We divide 2 such that

x = 27

Then we plug 27 into the equation such that

27 + y = 54.................Subtract 27 to get

y = 14

Step-by-step explanation:

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3 0

2 years ago

A pair of snow boots at an equipment store in Big Bear that originally cost $80 is on sale for $56. What is the rate of discount

8_murik_8 [283]

Divide the sale price by the original price:

56 / 89 = 0.7

Multiply by 100:

0.7 x 100 = 70%

The sale price is 70% of the original price, so the discount would be 30% (100-70= 30)

4 0

2 years ago