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Y_Kistochka [10]
3 years ago
10

How could you model 5 students sharing 4 bags of popcorn equally? How much will each student get?

Mathematics
1 answer:
Effectus [21]3 years ago
5 0
Your answer is 0.8 or 80%
Explanation:

Consider the ratio written like a fraction:

<span><span>Count of sandwichescount of people</span>→<span>46</span></span>

But we need the count of sandwiches for 1 person. So we need to change the 6 people into 1 person. To change 6 into 1 divide it by 6

<span>6÷6=1</span>

For ratios, when multiplying or dividing, what we do to the bottomwe do to the top.

So to change <span>46</span> into what we want we apply

<span><span><span>4÷6</span><span>6÷6</span></span>=<span><span>23</span>1</span>← <span>Count of sandwichescount of people</span></span>

So each person ends up with <span>23</span> of a sandwich

<span>Now see where the shortcut comes from <span>46</span>=<span>23</span><span> of a sandwich</span></span>

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The area of circle is 770cm^2then find its circumfrence​
Gala2k [10]

Answer:

The circumference is 98.39 centimeters (rounded to 2 decimal places)

Step-by-step explanation:

The area of a circle has the formula  \pi r^2

The circumference of a circle has the formula  2\pi r

First, let's find r from area given:

\pi r^ 2= 770\\r^2 = \frac{770}{\pi}\\r=\sqrt{\frac{770}{\pi}} \\r=15.66

Now, we can use this value of r and plug in into the formula for circumference. Shown below:

2\pi (15.66)\\=98.39

The circumference is 98.39 centimeters (rounded to 2 decimal places)

6 0
3 years ago
8x + 6y - z= 10<br>-7X - 3y + z = 5<br>4x + 3y + z = 8<br><br>z=<br>y =<br>x =​
WARRIOR [948]
Answer is
Z= -1
Y= 3
X= -1 I’m sure it’s that
6 0
4 years ago
81 ÷ (__÷ 4) =9 evaluate the numeric expression
Dafna11 [192]

36 is the answer. 36/4=9 81/9=9

6 0
4 years ago
Explain the connection between factors of a polynomial, zeros of a polynomial function, and solutions of a polynomial equation.
MrRissso [65]

Answer:

Step-by-step explanation:

Solutions, zeros, and roots of a polynomial are all the same exact thing and can be used interchangeably.  When you factor a polynomial, you solve for x which are the solutions of the polynomial.  Since, when you factor a polynomial, you do so by setting the polynomial equal to 0, by definition of x-intercept, you are finding the zeros (don't forget that x-intercepts exist where y is equal to 0). There's the correlation between zeros and solutions.  

Since factoring and distributing "undo" each other (or are opposites), if you factor to find the zeros, you can distribute them back out to get back to the polynomial you started with.  Each zero or solution is the x value when y = 0.  For example, if a solution to a polynomial is x = 3, since that is a zero of the polynomial, we can set that statement equal to 0: x - 3 = 0.  What we have then is a binomial factor of the polynomial in the form (x - 3).  These binomial factors found from the solutions/zeros of the polynomial FOIL out to give you back the polynomial equation.

8 0
3 years ago
Find the value of X. Show your work.
Wittaler [7]

Answer:

x = 3

Step-by-step explanation:

The traingels are similar so we can conpare sides.

3 is to 18 as 2 is to 4x or

3/18 = 2/4x

1/6 = 1/2x

6 = 2x

3 = x

4 0
2 years ago
Read 2 more answers
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