Ask question

Ask question

All categories

4 years ago

15

I need help you dont have to answer both.

2 answers:

aniked [119]4 years ago

5 0

1. Create a proportion:
12/17=18/x
12x=306
x= $25.50
2. Let Casey’s age be c and his sister’s be s
c=2s-3
c=s+5
2s-3=s+5
s=8
c=13
Casey is 13 years old!

Veseljchak [2.6K]4 years ago

4 0

1.
Weight of potatoes........Cost
12 lb ................................. $17
18 lb ................................. X
by cross multiplication we get
12 X = 17 × 18
12 X = 306
X = 306/12
X = $ 25.5

You might be interested in

-1/2x-3=4<br> Solve for x

sleet_krkn [62]

Answer:

x=-3.5

reason:

first, add 3 to both sides
this makes the equation -1/2x=7
then, divide both sides by -1/2
this will give you x=-3.5

3 0

3 years ago

Read 2 more answers

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

Write the following equation in the general form Ax + By + C = 0 <br> 2x + y = 6

ki77a [65]

The Answer is 2x + Y - 6 =0

5 0

4 years ago

A class was conducting a series of probability experiments.

leva [86]

I believe the answer would be B, since both situations give you 6 chances at drawing/rolling the right number/marble.

6 0

3 years ago

A parent volunteer group is raising money by making custom hats to sell at school activities. They plan to sell the hats for $12

Misha Larkins [42]

Answer:

B. (12-6) n - 50

Step-by-step explanation:

Given that:

Cost of making hat = $6 per hat

Selling price = $12 per hat

Advert cost = $50

Number of hats made = n

The profit or money raised from the sales of hat:

Total Revenue from sales - total cost of production - advert cost

Total Revenue from sales = ($12 * n) = $12n

Total cost of production = ($6 * n) = $6n

Advert cost = $50

Hence,

12n - (6n + 50)

12n - 6n - 50

(12 - 6)n - 50

8 0

3 years ago