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3 years ago

6

A girl scout troop makes $1100 in two weekends of selling cookies. If they continued at this rate, how much money would they mak

e in their seven weekend selling season?

1 answer:

baherus [9]3 years ago

6 0

Answer:

$3850

Step-by-step explanation:

It is given that,

A girl scout troop makes $1100 in two weekends of selling cookies.

2 weekend = $1100

1 weekend = $550

For 7 weekend, we will multiply $550 by 7 as follows :

7 weekend = $550 × 7

= $3850

So, for 7 weekend she will need $3850.

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A student on a piano stool rotates freely with an angular speed of 2.85 rev/s . The student holds a 1.50 kg mass in each outstre

Vlad1618 [11]

Answer:r'=0.327 m

Step-by-step explanation:

Given

$N=2.85 rev/s$

angular velocity $\omega =2\pi N=17.90 rad/s$

mass of objects $m=1.5 kg$

distance of objects from stool $r_1=0.789 m$

Combined moment of inertia of stool and student $=5.53 kg.m^2$

Now student pull off his hands so as to increase its speed to 3.60 rev/s

$\omega _2=2\pi N_2$

$\omega _2=2\pi 3.6=22.62 rad/s$

Initial moment of inertia of two masses $I_0=2mr_^2$

$I_0=2\times 1.5\times (0.789)^2=1.867$

After Pulling off hands so that r' is the distance of masses from stool

$I_0'=2\times 1.5\times (r')^2$

Conserving angular momentum

$I_1\omega =I_2\omega _2$

$(5.53+1.867)\cdot 17.90=(5.53+I_o')\cdot 22.62$

$I_0'=1.397\times 0.791$

$I_0'=5.851$

$5.53+2\times 1.5\times (r')^2=5.851$

$2\times 1.5\times (r')^2=0.321$

$r'^2=0.107009$

$r'=0.327 m$

7 0

3 years ago

The area of a rug is represented by the following expression, z2 + 4x – 12 , which of the following expressions

ch4aika [34]

Answer:

Width = (x-2)

Step-by-step explanation:

The area of a rug is given by $(x^2+4x-12)$

The length of the rug is (x+6)

We need to find the width of the rug.

The area of a rug is given by :

$A=lb\\\\x^2+4x-12=(x+6)b\\\\b=\dfrac{x^2+4x-12}{(x+6)}\\\\b=\dfrac{x^2+6x-2x-12}{(x+6)}\\\\b=\dfrac{x(x+6)-2(x+6)}{(x+6)}\\\\b=\dfrac{(x+6)(x-2)}{(x+6)}\\\\b=(x-2)$

So, the width of the rug is (x-2). Hence, the correct option is (c).

3 0

3 years ago

Solve the system of equations.<br> 2y+7x=−5<br> 5y−7x=12<br>

3241004551 [841]

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

$5y-7x=12$

$5y-7x-12=0$

$5y-12=7x$

Therefore, $7x=5y-12$

Now replace the 7x in the first equation with 5y - 12:

$2y+7x=-5$ (substitute in 7x = 5y - 12)

$2y+(5y-12)=-5$

$7y-12=-5$

$7y=7$

$y=1$

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

$7x=5y-12$ (substitute in y = 1)

$7x=5(1) -12$

$5x=5-12$

$7x=-7$

$x=-1$

__________________________________________________________

<u>Answer:</u>

<u></u> $y=1\\x=-1$ <u></u>

4 0

3 years ago

Factor x^2 + 12x + 36

larisa [96]

Answer:

(x + 6 )(x + 6 )

2 numbers to add to 12 but also multiply to get 36

8 0

3 years ago

Read 2 more answers

What is the value of sin T?<br> (Round to four decimal places if needed.)

Inessa [10]

Answer: The correct answer is 0.1529.

The sine ratio is the length of the opposite side over the length of the hypotenuse.

In this problem, that would be 13 over 83.

If we divide 13 by 83, we get the decimal 0.1529.

8 0

3 years ago