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amm1812
3 years ago
10

Dimitri is helping to plan the school talent show. Each performer for the talent show has 666 minutes for his or her performance

, which includes transition time between performances. If the introduction for the talent show is 242424 minutes long and the entire show, including the introduction, will last 150150150 minutes, how many different performances can the talent show accommodate?
Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0

We can find the answer by taking the total count of time, 150, and subtract 24 from it. This is because the 24 minute introduction is not part of the performances, so it is not part of our equation.  After we subtract the two numbers to get 126, we divide the remaining number by 6. This is because each performance lasts 6 minutes, so by dividing it from 126, we get the total amount of performances. The answer is 21.

Hope this helps!


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mrs_skeptik [129]

Answer:

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8 0
3 years ago
A salesperson earns $450.20 per week plus 15% of her weekly sales. Which of the following describes the sales necessary for the
lapo4ka [179]
First we must construct an equation to model the problem. (In this case we will use an inequality instead) This is what I came up with:
         450.20+0.15s>=600.10

This equation shows how if her base earnings ($450.20) are added to 15% of her sales, represented by s, then the total will be greater than or equal to $600.10
Next, we simply solve for s. (steps shown below)

1) 450.20+0.15s>=600.10 (simply restating the inequality)
2) 0.15s>=149.90 (here I isolated the variable)
3)0.15s/0.15>=149.90/0.15 (Finally I solve for s by dividing both sides by 0.15, this will isolate s on the left and leave the answer on the right)
4) s>=999.33... (here I found the total sales the salesperson would need to reach his/her goal of earning a minimum of $600.10; the 3's after the decimal are repeating so in the next step I will round up to the nearest hundredth (b/c this is what money is rounded to and if I round down he/she would make less than her goal. This means i must round up.))
5) s>=999.34 (simple rounding; once again I rounded up b/c rounding down would slightly bring the total earnings to less than the goal)

<u>Therefore, the salesperson would need his/her sales to be $999.34 in order for his/her total earnings for the week to be at least $600.10</u> (greater than or equal to $600.10)

<u>Hope this helped!</u>
4 0
3 years ago
Rationalise the denominator.
grin007 [14]

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

(5 -\sqrt{2})

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Reminder :

(a + b)(a - b) =  {a}^{2} -  {b}^{2}  \\

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

\frac{1}{ 5-\sqrt{2} } \times  \frac{ 5+\sqrt{2}  }{ 5 +\sqrt{2}  } =  \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2})  } =  \\

The other is in the photo.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0
3 years ago
What is the estimate of 33,497 divided by 182
Molodets [167]
The each awnser will be
6 0
2 years ago
Read 2 more answers
A circular window is drawn on architectural plans where each unit is a foot on a coordinate grid. the window is modeled by the e
Pie

The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

<h3>What is the general equation of a circle?</h3>

The equation of a circle is given by the formula,

(x-a)^{2} + (y -b)^{2} = r^{2}

where (a,b) is the coordinate of the center of the circle, and r is the radius of the circle.

According to the given equation, if we compare this equation with the general equation of the circle.

(x-4)^{2} + (y-12)^{2} = 9

(x-a)^{2} + (y -b)^{2} = r^{2}

(x-4)^{2} + (y -9)^{2} = 3^{2}

On  observing this equation we will get that the value of (a,b) is (4,12).

Thus, The equation indicates that the center of the window is 12 feet from the ground

window span = diameter of circle

window span = 2r

= 2 × 3 (radius = 3)

= 6

Hence, The equation indicates that the center of the window is 12 feet from the ground and the distance the window spans 6 feet.

To learn more about Equation of the circle from the given link

brainly.com/question/22223658

#SPJ4

6 0
1 year ago
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