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S_A_V [24]
3 years ago
8

The graphed system represents the rate at which two trucks are being filled, where x represents the time in minutes and y repres

ents the percentage filled. Which statement is true? A. The solution is nonviable because the percentage filled cannot be negative. B. The solution is nonviable because the time cannot be negative. C. The solution is nonviable because the time cannot be partial minutes. D. The solution is viable.

Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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2 years ago
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1/12

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Given that :

Spinner has four colors (purple, green, blue, or yellow)

Dice has six faces (1, 2, 3, 4, 5, 6)

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Probability of green, p(green) = 1/ 4

P(rolling 5 or 6) = p(5) + p(6) = 1/6 + 1/6 = 2/6 = 1/3

P(green) and then rolling a 5 or 6

P(green) * p(rolling 5 or 6)

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Step-by-step explanation:

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3 years ago
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Answer:

−128

Step-by-step explanation:

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3 years ago
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One positive integer is 3 greater than 4 times another positive integer. If the product of the two integers is 76, then what is
andrew11 [14]

Answer:

The sum of the two integers is 23

Step-by-step explanation:

Let one integer be x and the other integer be y

Then according to the statement "One positive integer is 3 greater than 4 times another positive integer.."

x be the integer that is One positive integer is 3 greater than 4 times another positive integer.

Then

x= 3+4y----------------------------------(1)

Product of the two integer is 76, this can  written as

x \times y =76

substituting the values of x from eq(1)

( 3+4y) \times y =76

3y + 4y^2 = 76

3y + 4y^2-76= 0

4y^2 + 3y -76= 0

Solving the quadratic equation equation we get

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

here

a = 4

b= 3

c = -76

susbtituting the above values in the formula

y=\frac{-3 \pm \sqrt{3^2-4(4)(-76)}}{2(4)}

y=\frac{-3 \pm \sqrt{9- 4(4)(-76)}}{8}

y=\frac{-3 \pm \sqrt{9- (16)(-76)}}{8}

y=\frac{-3 \pm \sqrt{9- (-1216)}}{8}

y=\frac{-3 \pm \sqrt{9 + 1216}}{8}

y=\frac{-3 \pm \sqrt{1225}}{8}

y=\frac{-3 \pm 35}{8}

y=\frac{-3 +35}{8}                       y=\frac{-3 -35}{8}    

y=\frac{32}{8}                             y=\frac{-38}{8}

y= 4                                                           y =  −4.75

Since in the  question it is given that it is a positive integer

so  y = 4

substituting y=4 in eq (1) we get,

x= 3+4(4)

x= 3+16

x= 19

The sum of the two integers

=> x + y

=> 19+4

=>23

8 0
4 years ago
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