What is the result of -2/3⋅12 3/8? enter the result as an improper fraction and as a mixed number.

Answers

Answer 1

Answer: $-(2)/(3)\cdot12(3)/(8)=-(2)/(3)\cdot(12\cdot8+3)/(8)=-(2)/(3)\cdot(99)/(8)\n\n=-(1)/(1)\cdot(33)/(4)=\boxed{-(33)/(4)}=-(32+1)/(4)=\boxed{-8(1)/(4)}$

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What is the fractional equivalent of 0.2666

Answers

1333/5000 I hope that this helps you :)

0.2666 as a fraction is 1333/5000

If (x − 2)^2=49, then x could be ?

Answers

$(x - 2)^2=49\n \n x^2-4x +4 -49=0\n \nx^2-4x -45 = 0\n \n\Delta = b^(2)-4ac = (-4)^(2)-4*1* (-45)= 16+180=196 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(4-√(196))/(2)=(4-14)/(2)=(-10)/(2)=-5 \n \nx_(2)=(-b+√(\Delta ))/(2a) =(4+√(196))/(2)=(4+14)/(2)=(18)/(2)=9 \n \nAnswer : \ x=-5 \ or \ x= 9$

(x-2)(x-2)
x^2 -2x -2x +4 =49 (-49 from both sides)
X^2-4x-45
(x+5)(x-9)
x=-5, x=9

The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?

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Answer:

There are 48 boys in the choir

Step-by-step explanation:

A negative number raised to an odd power is _____ negative. a)always
b)sometimes
c)never

Answers

A negative number raised to an odd power is always negative. The correct answer is A, always.

When a volcano erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it erupted was 8,219.5 feet. This was 85% of the original height. What was the original height?

Answers

The height of the volcano is reduced after the eruption, then the original height of thevolcano is 9670 feet.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Height of the volcano after eruption = 8,219.5 feet

Let the original height of the volcano is x.

85% of x = 8219.5

x = (8219.5 × 100)/85

x = 9670 feet.

To know more about percentages:

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Answer:

9,670

Step-by-step explanation: