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2 years ago

Which is equivalent to “4 pencils for every 2 students”?

Mathematics

1 answer:

TiliK225 [7]2 years ago

4 0

Answer:

8 pencils for every 4 students or 2 pencils for every students

Step-by-step explanation:

Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent

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If a cube-shaped cell is 3 units tall by 3 units wide and 3 units long, what is the cell's surface-area-to volume ratio?

bulgar [2K]

The cube has 6 sides, each a square with dimensions 3 by 3,

the area of any of these squares is 3*3=9 square units.

The total area of the cube is 6*9 square units=54 square units

The volume of a cube with side length a is given by : $\displaystyle{ V_{cube}=a^3$ , thus the volume of the cube-shaped cell is 3*3*3=27 cube units.

(surface area):(volume)=54:27 = 2:1 =2

Answer:

the ratio of the numerical values is 2

(their ratio including units is 2/unit

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2 years ago

What algebraic expression could represent the average of 2x, x + 3, and 6x?

Gre4nikov [31]

Answer:

(5x = 2 = 3 +8a

Step-by-step explanation:

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2 years ago

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The difference between 83and 109 is

marta [7]

They aren't the same number

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2 years ago

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Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angl

Naily [24]

Answer:

Part A: $\triangle RPQ \sim \triangle RSP$

Part B. All angles are same, so the triangles are similar.

Part C. RP = 8

Step-by-step explanation:

We are given a right angled triangle $\triangle RPQ$ with $\angle P = 90^\circ$ .

PS is perpendicular to the hypotenuse RQ of $\triangle RPQ$ and S lies on RQ.

Part A:

To identify the pair of similar triangles.

$\triangle RPQ \sim \triangle RSP$ .

Part B:

To identify the type of similarity.

Kindly refer to the image attached in the answer area.

Let us consider the triangles $\triangle RPQ \ and\ \triangle RSP$ .

$\angle RSP =\angle RPQ =90^\circ$

Also, $\angle R$ is common to both the triangles under consideration.

Now, we can see that two angles of two triangles are equal.

So, third angle of the two triangles will also be same.

i.e. All three angles of two triangles $\triangle RPQ \ and\ \triangle RSP$ are equal to each other.

So, by A-A-A (Angle - Angle - Angle) similarity, we can say that $\triangle RPQ \sim \triangle RSP$ .

Part C:

RS = 4

RQ = 16, Find RP.

There is one property of similar triangles that:

The ratio of corresponding sides of two similar triangles is equal.

i.e.

$\dfrac{RS}{RP} = \dfrac{RP}{RQ}\\\Rightarrow RP ^2 = RS \times RQ\\\Rightarrow RP ^2 = 4 \times 16\\\Rightarrow RP ^2 = 64\\\Rightarrow \bold{RP = 8\ units}$

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2 years ago

Which correctly applies the distributive property to show an equivalent expression to (–2.1)(3.4)?

Elena L [17]

To correctly apply the distributive property, we can multiply the parenthesized terms makong sure to have the correct positive and negative signs. Distributive the -2.1 by multiplying it by 3.4 to get -7.14 as your equivalent expression.

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2 years ago

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