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DochEvi [55]
3 years ago
12

Solve the equation (5p-1)/3=7

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0
(5p-1)/3 = 7
⇒ 5p - 1 = 7*3
⇒ 5p -1= 21
⇒ 5p= 21+ 1
⇒ 5p= 22
⇒ p= 22/5
⇒ p= 4 2/5

The final answer is p= 4 2/5~
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(a) Mary and Cynthia were building a cone-shaped sand castle. After some time, the diameter of
V125BC [204]

Answer:

\displaystyle V\approx 769.7\text{ in}^3

Step-by-step explanation:

We are given that the diameter of the sand-shaped cone is 14 inches, and the height is 15 inches.

The volume for a cone is given by:

\displaystyle V=\frac{1}{3}\pi r^2h

Where r is the radius and h is the height.

Since the diameter is 14, the radius is 7.

And we are given that the height is 15.

Therefore, the volume will be:

\displaystyle V=\frac{1}{3}\pi (7)^2(15)

Use a calculator:

\displaystyle V\approx 769.7\text{ in}^3

The volume of the cone is approximately 769.7 cubic inches.

7 0
3 years ago
You must attend a minimum of 85% of the practices in order to play in the playoffs. You have made 37 of the 42 practices. Will y
suter [353]

Answer:

Yes, you will be able to play in the playoffs.

Step-by-step explanation:

37 ÷ 42 = 0.88095238095238 = 88.095238095238%.

~88%>85%

6 0
3 years ago
Suppose a rectangular plot is to be fenced in, with the fencing on each of the four sides (labeled east, west, north, south) cos
Damm [24]

Answer:

A = 1701,38 ft²

Dimensions :

x (north and south sides )  =  38.89 ft

y ( east and west sides )    =   43,75 ft

Step-by-step explanation:

North  and south (sides of same length) equal  "y"  cost  (4 + 5 ) = 4,5  $/ft²

East and west   (sides of same length)  equal   "x"   cost   ( 3 + 5 ) = 4 $ /ft²

Equation of cost is

C  = Cost of (north + south ) + Cost (east + west)

C = 2 * 4,5 * x  + 4*2* y

C = 9x + 8y                        

700 = 9x + 8y    ⇒              y = ( 700- 9x)/ 8

A = x*y

A(x)  =  x * ( 700 - 9x ) /8

A(x)  =  ( 700 x  -9x²) / 8       A´(x)  = ( 700 - 18 x )/ 8    A´(x) = 0

( 700 - 18 x )/ 8 = 0       ⇒  700 - 18 x  = 0   ⇒ x = 700/18

x = 38.89 ft

y  = ( 700 - 9x )/8      ⇒  y = 349.99 / 8     ⇒  y = 43.75

And maximum ara is

A = x*y         A = 38.89 * 43.75  =  1701,38 ft²

5 0
4 years ago
Does anyone know the answers???
Morgarella [4.7K]

Answer:

16:3

17:4

18:1

19:1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What can you do to a 3 to make it a 7, besides just adding 4?
olchik [2.2K]

Answer:

multiply 3 by 2 and add 1 to get 7

Step-by-step explanation:

3x2+1=7

4 0
3 years ago
Read 2 more answers
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