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3 years ago

Which of the following properties is 5(3 + 2) = 15 + 10 an example of?

2 answers:

5 0

It's the distributive property. It takes the equation, 15+10 and finds the greatest common factor of 5. it divides both numbers by 5 and puts the 5 outside of the parentheses.

borishaifa [10]3 years ago

5 0

Answer: Distributive property

Step-by-step explanation:

Associative property states that either in addition or multiplication we can changes the position of parenthesis.

That is, a.(b.c) = (a.b).c or a+(b+c) = (a+b)+c

Commutative property states that in addition or multiplication we can change the order.

That is, a.b = b.a or a+b = b+a

Multiplicative identity is an element that gives the same number after multiplication.

That is, a × 1/a = 1 ⇒ 1/a is the multiplicative identity of a.

Distributive property lets us multiply a sum by multiplying each addend separately and then add the products.

That is, a(b+c) = a.b + a.c

Thus, it is clear that ,

5(3 + 2) = 5× 3+ 5×2 = 15 + 10 is the example of distributive property.

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djverab [1.8K]

Answer:

Step-by-step explanation:

a) 4x¹⁰ = 2² * x¹⁰

64x² = 2⁶ *x²

GCF = 2² * x² = 4x²

b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)

=4x² *[ (x⁴)² - 4²]

= 4x² * (x⁴ + 4) (x⁴ - 4)

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=4x² * (x⁴ + 4) * (x² + 2)(x² - 2)

7 0

3 years ago

There are 36 dinosaurs pictured in Karmita's book. If 2/3 of them were plant eaters, how many were plant eaters.

UNO [17]

In order to solve your question, you first have to understand what 1/3 of 36 is. you can do that by dividing 36/3.

when you do this you get the answer of 12. 1/3 of 36 is 12.

to get the 2/3 part. Add 12 to the existing part that you have.

Therefore, you have 24 plant eaters.

5 0

3 years ago

Plz help me out, this is from a study guide for my test today! thank you!

JulijaS [17]

C. t = 2d + 3
That is the equation that represents the chart

3 0

3 years ago

Medium sodas cost $1.25 and hot dogs cost $2.50.

Sindrei [870]

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6 0

3 years ago

Read 2 more answers

NEED HELP ASAP!!

Solnce55 [7]

Answer:

Only Cory is correct

Step-by-step explanation:

The gravitational pull of the Earth on a person or object is given by Newton's law of gravitation as follows;

$F =G\times \dfrac{M \cdot m}{r^{2}}$

Where;

G = The universal gravitational constant

M = The mass of one object

m = The mass of the other object

r = The distance between the centers of the two objects

For the gravitational pull of the Earth on a person, when the person is standing on the Earth's surface, r = R = The radius of the Earth ≈ 6,371 km

Therefore, for an astronaut in the international Space Station, r = 6,800 km

The ratio of the gravitational pull on the surface of the Earth, F₁, and the gravitational pull on an astronaut at the international space station, F₂, is therefore given as follows;

$\dfrac{F_1}{F_2} = \dfrac{ \dfrac{M \cdot m}{R^{2}}}{\dfrac{M \cdot m}{r^{2}}} = \dfrac{r^2}{R^2} = \dfrac{(6,800 \ km)^2}{(6,371 \ km)^2} \approx 1.14$

∴ F₁ ≈ 1.14 × F₂

F₂ ≈ 0.8778 × F₁

Therefore, the gravitational pull on the astronaut by virtue of the distance from the center of the Earth, F₂ is approximately 88% of the gravitational pull on a person of similar mass on Earth

However, the International Space Station is moving in its orbit around the Earth at an orbiting speed enough to prevent the Space Station from falling to the Earth such that the Space Station falls around the Earth because of the curved shape of the gravitational attraction, such that the astronaut are constantly falling (similar to falling from height) and appear not to experience gravity

Therefore, Cory is correct, the astronauts in the International Space Station, 6,800 km from the Earth's center, are not too far to experience gravity.

6 0

3 years ago