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g100num [7]
3 years ago
15

In a class of 40 students, everyone has either a pierced nose or a pierced ear. The professor asks everyone with a pierced nose

to raise his or her hand. Eight hands go up. Then the professor asked everyone with a pierced ear to do likewise. This time there are 35 hands raised. How many students have piercings both on their ears and their noses?
Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer:

3 students

Step-by-step explanation:

If everyone in the class has either a pierced nose or ear, we just simply have to add up the total number of hands raised and minus the number of students in the class.

35+8=43

43-40=3

3 students have both a pierced nose and pierced ear.

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Suppose the population of a town is 98,000 in 2014. The population increases at a rate of 3.7 percent every year. What will the
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Answer: 121871

Step-by-step explanation:

Current population = 98000

Rate of increase = 3.7% / year

Total time = 2020 - 2014 = 6 years

Population in 2020 = 98000 * (1+ (3.7/100))^6

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Which equation has no solution?<br> |-x - 3| = 5<br> |2x – 1| =0<br> |15 - 3x|= -8<br> |-x + 9| = 0
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Step-by-step explanation:

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3 years ago
Consider the following incomplete deposit ticket: what was art’s total deposit? a. $1,701.23 b. $1,545.83 c. $1,856.63 d. $1516.
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Step-by-step explanation:

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2 years ago
What is the Range of this Graph? ASAP
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Step-by-step explanation:

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3 years ago
5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x
PSYCHO15rus [73]

Answer:

x=-8

Step-by-step explanation:

Simplifying

5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -15 + 14 = -1

-1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -1 + -28 = -29

-29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -29 + 2 = -27

-27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: 5x + -7x = -2x

-27 + -2x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -2x + -8x = -10x

-27 + -10x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -10x + -3x = -13x

-27 + -13x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + -8(-7 + x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (-7 * -8 + x * -8) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (56 + -8x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (6 * -1 + -5x * -1) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (-6 + 5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + 56 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 11 + 56 = 67

-27 + -13x = 67 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 67 + -6 = 61

-27 + -13x = 61 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 61 + 8 = 69

-27 + -13x = 69 + -8x + 4x + 5x + -2x

Combine like terms: -8x + 4x = -4x

-27 + -13x = 69 + -4x + 5x + -2x

Combine like terms: -4x + 5x = 1x

-27 + -13x = 69 + 1x + -2x

Combine like terms: 1x + -2x = -1x

-27 + -13x = 69 + -1x

Solving

-27 + -13x = 69 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

-27 + -13x + x = 69 + -1x + x

Combine like terms: -13x + x = -12x

-27 + -12x = 69 + -1x + x

Combine like terms: -1x + x = 0

-27 + -12x = 69 + 0

-27 + -12x = 69

Add '27' to each side of the equation.

-27 + 27 + -12x = 69 + 27

Combine like terms: -27 + 27 = 0

0 + -12x = 69 + 27

-12x = 69 + 27

Combine like terms: 69 + 27 = 96

-12x = 96

Divide each side by '-12'.

x = -8

Simplifying

x = -8

5 0
3 years ago
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