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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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Timothy has a fenced-in garden in the shape of a
sattari [20]

Answer:

From the attached graphic we see that

rhombus side =   Sqr Root [(Long Diagonal / 2) ^ 2 + (Short Diagonal / 2) ^ 2]

rhombus side =   Sqr Root [(24/2)^2 + (18/2)^2]

rhombus side =   Sqr Root [144 + 81]

rhombus side =  Sqr Root (225)

rhombus side = 15 feet

Step-by-step explanation:

7 0
3 years ago
Pls helppp!!! -------
Gelneren [198K]

Answer:

∠ A ≈ 44.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos A = \frac{adjacent}{hypotenuse}  = \frac{AC}{AB} = \frac{5}{7} , then

∠ A = cos^{-1} (\frac{5}{7} ) ≈ 44.42° ( to the nearest hundredth )

5 0
3 years ago
(5,-6) after a rotation of 90 digres
vlada-n [284]

Answer:

depends which way you rotate it

Step-by-step explanation:

counterclockwise rotation: (6,5)

clockwise rotation: (-6,-5)

7 0
2 years ago
In the expression below, a is an integer. 12^3+ax-20 if 3x+4 is a factor of the expession above, what is the value of a
SVEN [57.7K]

Our function is:

f(x)=12^3+ax-20

Now, if 3x+4 is a factor of f(x) then x=\frac{-4}{3} must satisfy the equation:

So, f(\frac{-4}{3} )=0

Putting x=\frac{-4}{3}

We get,

f(\frac{-4}{3} )=12^3+a(\frac{-4}{3} )-20=0

12^3+\frac{-4}{3} a-20=0

\frac{-4}{3} a=20-12^3=20-1708

a=-1708 \times \frac{-3}{4} =1281

So, the value of 'a' for the given expression is 1281.

4 0
3 years ago
Ellie drew ΔLMN, in which m∠LMN = 90°. She then drew ΔPQR, which was a dilation of ΔLMN by a scale factor of one half from the c
vaieri [72.5K]

Answer:

m∠P ≅ m∠L; this can be confirmed by translating point P to point L.

Step-by-step explanation:

Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:

∠L=∠P

∠Q=∠M

∠N=∠R

Since the 2nd triangle made from dilation, it should maintain its orientation.

Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.

Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.

Option 3 and 4 definitely wrong because it speaking about length, not the angle.

6 0
2 years ago
Read 2 more answers
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