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IRISSAK [1]
3 years ago
15

Translate the English phrase into an algebraic expression: the product of the quotient of A and the sum of B and C, and the prod

uct of D and E.
Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

Answer:

(\frac{A}{B+C} )(DE)

Step-by-step explanation:

You're multiplying two factors together (because at the start, it says the product of)

The first factor is the quotient of A, and the sum of B and C, so A divided by (B + C)

The second factor is whatever the product of D and E is, so you have to multiply those together first

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The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the ne
Aloiza [94]

Given:

Volume of a sphere is \dfrac{28}{3} times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

V=\dfrac{4}{3}\pi r^3              ...(i)

Surface area of a sphere:

A=4\pi r^2                      ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is \dfrac{28}{3} times the surface area.

V=\dfrac{28}{3}\times A

\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2

Multiply both sides by 3.

4\pi r^3=112\pi r^2

\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}

r=28

Using (i), the volume of the sphere is:

V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3

V\approx 91989

Using (ii), the surface area of the sphere is:

A=4\times \dfrac{22}{7}\times (28)^2

A=9856

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

3 0
3 years ago
Select the action you would use to solve 4x = 16. Then select the property
oksian1 [2.3K]

Answer:

A.

Step-by-step explanation:

Since you are trying to find <em>x</em>, you have to divide both sides by 4 to isolate <em>x</em> and get your answer.

3 0
3 years ago
Y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. what is the value of y when x = 5 m and z = 12 m?
Fynjy0 [20]
As x = 5 & z=12, 

<span>2/3 = y /(xz) = y/(5*12) </span>

<span>= y/60 </span>

<span>so y / 60 = 2/3 </span>

<span>y = (2*60)/3 </span>

<span>= 40</span>
4 0
3 years ago
The width of a DVD case is the same as the width of a
konstantin123 [22]

Answer:

12m

Step-by-step explanation:

Given that the area of the square  DVD case is 144 square cm

Since Area = L²

144 =L²

L = √144

L = 12m

Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m

5 0
3 years ago
I need help (asap)! #5-8
7nadin3 [17]
5) 1.1802 x 10^6
6) 0.00016
7) 4.3 x 10^-3
8) 2,835,000
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3 years ago
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