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xenn [34]
3 years ago
13

2) What is the five-digit number, no zeroes, in which the second digit is three times the first, the third is one more than the

second, the fourth is four
times the first and the last is one-half more than the second?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

the five digit number:

let the first digit be x

x _ _ _ _

x 3x _ _ _

x -3x- 3x+1- 4x- 3x+1.5x

This is the structure of the digit:x -3x- 3x+1- 4x- 3x+1.5x

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A shelter has enough food to feed an average of 80 hungry people a day for 14 days. If an average of 32 people are at the shelte
Katen [24]

Answer:

  • <u>35 days. </u>

Explanation

The capacity of the shelter is a constant. It is 80 people × 14 days.

That is an inverse relation: the product of the number of people and the number of days will be always the same.

As the number of people decreases the number of days that the food lasts increases, in a proportion such that the product of the days and the number of people is the same.

Thus, for 32 people the number of days the food lasts is x, such that:

  • 32 people × x = 80 people × 14 days

Solving for x:

  • x = 80 people × 14 days / 32 people
  • x = 35 days ← answer

The food will last 35 days.

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Evaluate the expression when <br>A=3 B=4 C=10
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5(3)= 15

15/8= 1.875

According to the Order of Operations, multiplication and division should be done left to right. The problem can be rewritten as 5a/8.

Final answer: 1.875
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Find the slope of the line whose equation is 4x-6y=12
dexar [7]

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An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. Wh
Ahat [919]

Answer:

Rate of plane 735 km/hr

Rate of wind 65 km/hr

Step-by-step explanation:

Calculation to determine the rate of the plane in still air

Let Va represent the velocity of the airplane

Let Vw represent the velocity of the wind

When flying with the wind:

(Va+Vw)*(6 hours) = 4800

6Va + 6Vw = 4800

6Vw = 4800 - 6Va

Vw=4800/6-Va

Vw = 800 - Va

When flying against the wind:

(Va-Vw)*(6 hours) = 4020 km

6Va - 6Vw = 4020

Substitute 800-Va for Vw and solve for Va:

6Va - 6(800-Va) = 4020

6Va -4800 + 6Va = 4020

12Va = 8820

Va=8820/12

Va = 735 km/hr

Therefore the rate of the plane in still air is 735 km/hr

Calculation to determine the rate of the wind

Rate of wind:

Vw = 800 - Va

Vw= 800 -735

Vw= 65 km/hr

Therefore the rate of the wind is 65 km/hr

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3 years ago
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