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Marina86 [1]
4 years ago
5

Use the Distributive Property to write each expression as an equivalent algebraic expression. (7 + a)3 Question 4 options: 3(7a)

21 + 3a 10 + 3a 7 + 3a
Mathematics
1 answer:
AysviL [449]4 years ago
5 0

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

(a+b)c=a \cdot c+b \cdot c

Given the algebraic expression: (7 + a)3

Applying the distributive property

(7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a

An equivalent expression is 21+3a.

The correct option is B

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The ratio of the diameters is 15:11. If the diameter of the smaller ball is 55cm, what is the volume of the larger ball? Round t
gizmo_the_mogwai [7]

Answer:

220,781.25 cubic cm

Step-by-step explanation:

Given ratio of the diameters = 15:11

Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11

Given that smaller one has diameter of 55cm

thus 11x = 55cm

x = 55/11 cm = 5

Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.

we know that radius is half of diameter

Radius = diameter/2

Thus radius of larger ball = 75/2 cm = 37.5 cm.

Volume of sphere is given by (4/3)\pi r^3

we know that  ball has spherical shape

thus volume of larger ball is calculated as given below

volume \ of \ ball = (4/3)\pi r^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = (4/3)*3.14* 37.5^3\\=> volume \ of \ ball = 220,781.25

Thus, volume of larger ball is 220,781.25 cubic cm

5 0
3 years ago
The length of a rectangle is 4 times its width. The perimeter of the rectangle is 50 cm long. What is the area of the rectangle?
Eduardwww [97]
The answer would be 100
3 0
3 years ago
Simplify this problem p^3 X p^4
Virty [35]

Answer:

p^3×4

Step-by-step explanation:

you only need one pi so u combine like solutions or whatever and yea

6 0
3 years ago
Read 2 more answers
Help Fast!!!!!!
elixir [45]

The formula for the area of a circle is A = πr^2

Since we know the length of the square is 7cm and the circle fills the full length, 7cm is the diameter.

To get the radius you divide the diameter by 2.

7/2 = 3.5

So, your radius is 3.5.

Now your formula looks like this: A = π(3.5)^2

Next you would square 3.5 because (3.5)^2 means to multiply 3.5 by 3.5

3.5^2 = 12.25

Now, you just multiply 12.25 by the approximate version of pi, which is 3.14.

12.25*3.14 = 38.465

Now, that you have the area of the circle, you subtract it from the area of the square.

If you already haven't figured out the area of the square it is 49 cm.

This is because the formula for the area of a square is A = bh or A = lw

Since the length (l) or base (b) is 7, we know that the other sides are 7 because squares have equal sides.

So now we subtract 38.465 from 49 and we get 10.535 which rounds to 10.54

So, your final answer is D. 10.54 cm^2

Hope this helps!

3 0
3 years ago
Solve the proportion: It takes 6 tomatillos to make 12 ounces of enchilada sauce. How many tomatillos does it take to make 18 ou
rodikova [14]

Answer:

answer is 12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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