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3 years ago

15

How do I solve this?

2 answers:

svetlana [45]3 years ago

8 0

Step-by-step explanation:

QS = QR + RS

9x -4 = 2x -1 + (4x +17)

9x- 4 = 6x +16

9x - 6x= 16+ 4

3x= 20

x= 20/3= 6.66

sergij07 [2.7K]3 years ago

7 0

Answer:

x = 22/3

Step-by-step explanation:

QR + RS = QS

=> 2x + 1 + 4x + 17 = 9x - 4

-3x = -22

x = 22/3

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krok68 [10]

Answer:

315 people bought tickets.

Step-by-step explanation:

270 divided by 6 = 45

45 x 7 = 315

7 0

2 years ago

Read 2 more answers

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now, in about how many years w

Mazyrski [523]

6 years

A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8 per month now. This is an exponential function, An exponential function is given by:

Let x be the number of years and y be the allowance. The initial allowance is $8, this means at x = 0, y = 8

Since it increases by 20% each year, i.e 100% + 20% = 1 + 0.2 = 1.2. This means that b = 1.2
Therefore:

To find the number of years will it take to reach $20 per month, we substitute y = 20 and find x

x = 6 years to the nearest year

8 0

3 years ago

Pascal wants to ride his bike to and from school 3 days a week. His house is 2.58 kilometers from his school. How many meters wi

klemol [59]

Answer:

I thi k the answers is 108.36

5 0

3 years ago

Just need the equation

Anna007 [38]

$a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}$

Each of the equations can be solved as shown below:

a. $3x + 7 = - x - 1$

$3x + 7 + x = - x - 1 + x$ (<em>addition property of equality</em>)

$4x + 7 = - 1\\4x + 7 - 7 = -1-7$ (<em>Subtraction property of equality</em>)

$4x = -8\\\frac{4x}{4} = \frac{-8}{4}$ <em> (Division property of equality)</em>

<em /> $x = -2$

b. $1 - 2x + 5 = 4x - 3\\$

<em>Add like terms </em>

<em /> $6 - 2x = 4x - 3\\\\6 - 2x - 6 = 4x - 3 - 6$ (<em>Subtraction property of equality</em>)

$- 2x = 4x - 9\\-2x - 4x = 4x -9 - 4x$ <em> (Subtraction property of equality)</em>

<em /> $-6x = -9 \\\frac{-6x}{-6} = \frac{-9}{-6}$ <em> (Division property of equality)</em>

<em /> $x = \frac{3}{2}$

c. $4x - 2 + x =-2 + 2x\\$

$5x - 2 = -2 + 2x\\5x - 2x = -2 + 2\\3x = 0\\ x = \frac{0}{3} \\x = 0$

d. $3x - 4 + 1 = - 2x -5 + 5x\\$

$3x - 3 = - 7x -5\\3x + 7x = 3 - 5\\10x = -2\\x = \frac{-2}{10} \\x = -\frac{1}{5}$

<em>The value of x in each </em><em>equation</em><em> are:</em>

<em /> $a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}$

Learn more here:

brainly.com/question/1527981

5 0

3 years ago

Futhe Mathematics<br><img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

<em>D</em><em>e</em><em>r</em><em>i</em><em>v</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>o</em><em>f</em><em> </em><em>c</em><em>o</em><em>s</em><em>²</em><em>x</em><em> </em><em>-</em><em> </em><em>s</em><em>i</em><em>n</em><em>²</em><em>x</em><em> </em><em>=</em><em> </em><em>c</em><em>o</em><em>s</em><em>2</em><em>x</em><em> </em><em>:</em><em>-</em>

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago