(2) Solve for x please help

Oduvanchick [21]

The answer is 10 days

(after 4 days, they still needed to install 360 chairs, 600-360=240 - meaning they installed 240 chairs in 4 days. to find out how many chairs they installed in 1 day, divide 240 by 4 and you find they installed 60 chairs per day. Then divide 360 by 60 to find the remaining days needed to install the rest of the chairs, which is 6 days then add it onto the 4 days already completed)

4 0

2 years ago

Marisa wants to buy a quality phone for least $200.She has already saved $125 and plans to save an additional $10 each week.Writ

eduard

Answer:

The inequality can be represented as:

$10w+125\geq200$

where $w$ represents the number of weeks in which Maria will be able to buy a phone for least $200.

On solving it we get : $w\geq 7.5$

Step-by-step explanation:

Given:

Maria wants to buy a phone for at least $200.

She has savings of $125.

She plans to save $10 every week.

To write an inequality for the situation.

Solution:

Let the number of weeks in which Maria will be able to buy a phone be = $w$

If she saves $10 each week.

Then, in $w$ weeks she will save in dollars = $10w$

She already has savings = $125

So her total savings in $w$ weeks in dollars will be = $10w+125$

She wants to buy a phone for at least $200.

Thus, the inequality can be represented as:

$10w+125\geq200$

Solving for $w$

Subtracting both sides by 125.

$10w+125-125\geq 200-125$

$10w\geq 75$

Dividing both sides by 10.

$\frac{10w}{10}\geq \frac{75}{10}$

$w\geq 7.5$

Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.

5 0

3 years ago

There are 2,920 seats in an auditorium. the audition has 20 sections with the same number of seats in each section. how many sea

OverLord2011 [107]

143 seats
because 2920 seats/20 sections=143 seats in each section

3 0

3 years ago

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Suppose that the following group of values has been entered into the TVM

Mila [183]

Answer:

The answer on A P E X is bal(132)

5 0

2 years ago