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8090 [49]
3 years ago
8

When a number, half of the number, and a third of the number are added together, the

Mathematics
1 answer:
Finger [1]3 years ago
8 0

Step-by-step explanation:

Let the number be x.

Half of a number is x/2 and a third of the number is x/3

ATQ,

x+\dfrac{x}{2}+\dfrac{x}{3}=275\\\\\dfrac{6x+3x+2x}{6}=275\\\\\dfrac{11x}{6}=275\\\\x=\dfrac{275\times 6}{11}\\\\x=150

Frist no is 150

Second no is 150/2 = 75

Third no is 50

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4 of the 9 tiles in the floor pattern are white. What percent of the tiles are white?
choli [55]

Answer:

44.5%

Step-by-step explanation:

THis is because 4/9x100=44.5, which means that 44.5% of the tiles are white

7 0
2 years ago
Beck finished 30% of his homework in 12 minutes. How many minutes will it take him to complete all of his homework?
Bogdan [553]

Answer: The answer is 40 minutes.

Equation: If m is the total number of minutes it takes him to complete his homework, 30% of m is given by 0.3m. Since 30% was done in 12 minutes, we have 0.3m=12.

4 0
2 years ago
Alan has read 80 percent of a book . He has 16 more pages to finish. How many pages are in the book
Jet001 [13]

Answer:

80

Step-by-step explanation:

To have 16 more pages means he has 20% more of the book to cover if he has already covered 80%

Let the number of pages in the book be X

20% of X = 16

20/ 100. * X = 16

1/ 5 * X = 16 >>> X = 16 * 5 = 80 pages.

3 0
2 years ago
A retail chain will buy 900 cordless phones if the price is $40 each and 700 if the price is $60. a wholesaler will supply 550 p
Triss [41]

Answer:

The point of equilibrium is (40,900).

Step-by-step explanation:

It is given that the supply and demand functions are linear.

From the given information it is noticed that the demand function passing through the points (40,900) and (60,700). The supply function passing through the points (30,550) and (50,1250).

If a line passing through two points, then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The demand function is

y-900=\frac{700-900}{60-40}(x-40)

y-900=-10(x-40)

y-900=-10x+400

y=-10x+1300                    .... (1)

The demand function is y=-10x+1300.

The supply function is

y-550=\frac{1250-550}{50-30}(x-30)

y-550=35(x-30)

y-550=35x-1050

y=35x-500                  .... (2)

The supply function is y=35x-500.

Equilibrium is the point where the demand and supply are equal.

On solving (1) and (2), we get

x=40

y=900

Therefore the point of equilibrium is (40,900). It means the retailer can buy 900 phones for $40 each and the wholesaler can sale 900 phones for $40.

3 0
3 years ago
5(3 - x) < -2x + 6 what inequality
blagie [28]
The answer is x < 11/5
8 0
2 years ago
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