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Oxana [17]
2 years ago
5

An election for a new treasurer was held at a recent trade conference. In the election, Jamal received 40% of the votes, and his

only opponent, Tran, received 4,320 votes. How many people voted for Jamal in the election?
Mathematics
1 answer:
Maurinko [17]2 years ago
5 0

Answer:

Jamal received 2,880 votes

Step-by-step explanation:

In the election,

Jamal received 40% of all votes

Tran received 100% - 40% = 60% that is 4,320 votes

Let x be the number of votes Jamal received. Then

x - 40%

4,320 - 60%

Write a proportion:

\dfrac{x}{4,320}=\dfrac{40}{60}\\ \\\text{Cross multiply}\\ \\60\cdot x=40\cdot 4,320\\ \\x=\dfrac{40\cdot 4,320}{60}=\dfrac{2\cdot 4,320}{3}=\dfrac{2\cdot 1,440}{1}=2,880

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vladimir2022 [97]
Given that the basket of watermelons sells for $9 before tax and the tax rate is 9%.

The tax on the basket of watermelons is given by

\frac{9\%}{100\%} \times\$9=0.09\times\$9 \\  \\ =\$0.81

Therefore, the total price Tiffany pays for the basket of watermelons is $9 + $0.81 = $9.81
8 0
2 years ago
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Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The
Ivenika [448]
Y = 12x - 40

the x variable represents the number of hours Sam works at the airport
the y value represents the amount in dollars that Sam has after paying Daniel 
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2 years ago
A company administers an "aptitude test for managers" to aid in selecting new management trainees. Prior experience suggests tha
RoseWind [281]

Answer:

0.94

Step-by-step explanation:

The question after this basically is:

<em>"If the applicant passes the "aptitude test for managers", what is the probability that the applicant will succeed in the management position?"</em>

<em />

So,

P(successful if hired) = 60% = 0.6 [let it be P(x)]

P(success at passing the test) = 85% = 0.85   [let it be P(y)]

P(successful and pass the test) =  P(x) + P(y) -[P(x)*P(y)]

So,

P(successful and pass the test) = 0.6 + 0.85 - (0.6*0.85) = 0.94 (94%)

5 0
2 years ago
Five and nine tenths in expanded form and standard
nika2105 [10]

Answer:

  • 5×1 +9×0.1
  • 5.9

Step-by-step explanation:

The verbiage "five and nine tenths" can refer to the mixed number 5 9/10, or to the decimal in standard form, 5.9. Simply converting the phrase to a decimal gets you the standard form.

The expanded form can be written a number of ways, depending on how you like to show the place value multipliers. The simplest expanded form is simply the sum of the digits:

  5 + 0.9

You can show the multipliers in standard form:

  5×1 + 9×0.1

Or, you can show the multipliers in exponential form:

  5×10⁰ +9×10⁻¹

3 0
2 years ago
If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?
marissa [1.9K]

Answer: 58 ft × 58 ft  

Step-by-step explanation:

Let the length of the region = x feet

And, the width of the region = y feet

Since, the perimeter of the region = 234 feet ( Given )

⇒ 2(x+y) = 234

⇒ x+y = 117

⇒ y = 117 - x

Again the area of the region, A = xy

⇒ A(x) = x(117-x)

⇒ A(x) = 117x - x^2

By differentiating the above equation with respect to x,

⇒ A'(x) = 117 - 2x  

For maxima or minima,

A'(x) = 0

\implies 117 - 2x = 0

\implies -2x = -117

\implies x = 58.5

Again differentiating equation A'(x) with respect to x,

We get, A''(x) = -2

Hence, For x = 58.5 A''(x) = negative

⇒ For x = 58.5 feet the area A(x) is maximum,

⇒ The length of the region having maximum area = x = 58.5 feet

And, the width of the region having maximum area = y = 117-x= 117 - 58.5=58.5 feet,

⇒ The dimension of the region having the maximum area = 58.5 ft × 58.5 ft

8 0
2 years ago
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