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tino4ka555 [31]
3 years ago
8

Of 30 students, 1/3 play sports . Of those who play sports, 2/5 play soccer.

Mathematics
1 answer:
yan [13]3 years ago
4 0

Answer: 4

Step-by-step explanation:

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The length of a certain lot if 20 feet less than four times its width. the area of 4200 sq. ft. what are the dimensions of the l
tia_tia [17]
The area of a surface is the number of square units present in the surface. For a rectangle, it is calculated from the product of the length and the width. To determine the length and width of the lot given above, we first assume that it is in a rectangular shape which is defined by its length and its width. We are given the following:

Area = 4200 square feet
Length = 4x - 20 feet
Width = x feet

From the definition of the area of a rectangle,

Area = length x width
4200 = (4x -20) (x)
4200 = 4x^2 - 20x
4x^2 - 20x - 4200 = 0
4(x^2 - 5x - 1050) = 0
x^2 - 5x -1050 = 0

Factoring the equation would lead to:
(x - 35) (x +30) = 0
x -35 = 0 ; x = 35
x + 30 = 0 ; x = -30

The width should not be a negative value so the width would be equal to 35 feet. So, the length would be 

Length = 4(35) - 20 = 120 feet

3 0
3 years ago
Which expression is a irrational number? A. 0.78 repeating
Oxana [17]
<span>An irrational number has an infinite decimal expansion that does not repeat. Numbers that have infinite decimal expansions that do not repeat </span>cannot<span> be expressed as the fraction of two integers.  

</span>A rational number is any number that can be expressed as the fraction of two integers. 
4 0
3 years ago
Read 2 more answers
Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply.
pantera1 [17]

Step-by-step explanation:

We need to write the function that have two real number zeros by calculating the discriminant i.e. b^2-4ac.

We know that,

If D>0  the roots are real and unequal

If D= 0 roots are real and equal

If D< 0 roots are imaginary or not real and unequal

Function (1)

f(x)=x^2 + 6x + 8\\\\D=6^2-4\times 1\times 8\\\\D=4

D>0  the roots are real and unequal

Function (2)

g(x)=x^2 + 4x + 8\\\\D=4^2-4\times 1\times 8\\\\D=-16

D<0  the roots are real and unequal

Function (3)

h(x)=x^2 -12x+32\\\\D=(-12)^2-4\times 1\times 32\\\\D=16

D>0  the roots are real and unequal

Function (4)

k(x)=x^2 +4x-1\\\\D=(4)^2-4\times 1\times (-1)\\\\D=20

D>0  the roots are real and unequal

Function (5)

p(x)=5x^2 +5x+4\\\\D=(5)^2-4\times 5\times 4\\\\D=-55

D<0  the roots are real and unequal

Function (6)

t(x)=x^2 -2x-15\\\\D=(-2)^2-4\times 1\times (-15)\\\\D=64

D>0  the roots are real and unequal

(1),(3),(4) and (6) have two real number zeroes.

5 0
3 years ago
Solve the equation for the letter d: C = pi times d
NeX [460]
C = pi*d; solve for d.

Divide both sides of this eqn by pi:  C/pi = d  (answer)
3 0
3 years ago
Read 2 more answers
The maritime museum has 100 ship models. Visitors can see 90% of the ships in a special exhibit. How many ships can visitors see
DochEvi [55]
90% of 100 = 0.9 x 100 = 90

------------------------------------------------
Answer: The visitor can see 90 ships.
------------------------------------------------
4 0
3 years ago
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