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3 years ago

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:

Count of sandwichescount of people→46

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

6÷6=1

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

So to change 46 into what we want we apply

4÷66÷6=231← Count of sandwichescount of people

So each person ends up with 23 of a sandwich

Now see where the shortcut comes from 46=23 of a sandwich

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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