A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmers market?

Answers

Answer 1
Answer:

Answer:

1.625 kilograms

Step-by-step explanation:

Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is

→ 6.5 x 3/4 = 4.875 kilograms

Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples

→ 6.5 - 4.875 = 1.625 kilograms

Answer 2
Answer:

Answer:

1.625 kg

Step-by-step explanation:

Total weight sold by the farmer =6.5 kilograms

If 3/4 of the weight is pears:

Weight proportion of apple=1-(3)/(4)= (1)/(4)

Therefore:

Weight of Apples sold at the market = (1)/(4) X 6.5 kg\n

=1.625 kg

The farmer sold 1.625 kilograms of apple.


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When 16x^3 - 12x^2 + 4x is divided by 4x the quotient is
Use mathematical induction to prove the statement is true for all positive integers n. The integer n3 + 2n is divisible by 3 for every positive integer n.

4. A triangle with base (2x+2) and height (x-2) is cut out of a rectangular sheet of paper that is (3x+4) by (2x+3) what is the area of the paper that remains?

Answers

so what we do is
area that remains=total area-triangle area that was cut out


we need to find 2 things
total area
triangle area

total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12

triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4


so
total area=6x^2+17x+12
triangle area=x^2-4

subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16


area that remains is 5x^2+17x+16

Pls helppppppppppppppppp

Answers

Answer:

977.65

Step-by-step explanation:

Add three amounts together divide that number by 3.

2932.95/3=977.65

Answer:

The average balance of the account is $977.65

Step-by-step explanation:

The first step is to add the three terms together.

1132.78 + 892.34 + 907.83 = 2,932.95

Now we take our sum and divide it by the number of terms we added together, which in this case is three.

2,932.95/3 = 977.65

So, our final answer would be $977.65

What fraction of 60 is 20

Answers

The value of fraction will be 1/3.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

''A fraction of 60 is 20.''

Now,

Let the value of fraction = x

So, We can formulate;

⇒ x of 60 = 20

⇒ x × 60 = 20

⇒ x = 20/60

⇒ x = 2/6

⇒ x = 1/3

Thus, The value of fraction = 1/3

Learn more about the fraction visit:

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Step-by-step explanation:

60%20 is 3 is the answer.

Benford’s law states that the probability that a number in a set has a given leading digit, d, isP(d) = log(d + 1) - log(d).

State which property you would use to rewrite the expression as a single logarithm, and rewrite the logarithm. What is the probability that the number 1 is the leading digit? Explain.

Answers

Benford’s law states that the probability that a number in a set has a given leading digit, d, is
P(d) = log(d + 1) - log(d)
 
The division property of logarithm should be use to make it as a single logarithm  
P(d) = log ( (d + 1)/ d)  
So the probability that the number 1 is the leading digit is
P(1) = log ( ( 1+1)/ 1)
P(1) = log ( 2)
P(1) = 0.301

The probability that the number 1 is the leading digit is0.301.

Given information:

Benford’s law states that the probability that a number in a set has a given leading digitd, is P(d) =\log(d+1)-\log(d)

As mentioned in question,

Probability of a number in a set is given by P(d) =\log(d+1)-\log(d).

The division property of logarithm should be use to make it as a single logarithm P(d)=\log((d+1)/(d))\;\;\;\{\log(a)-\log(b)=\log(a)/(b)\}.

So, the probability that the number 1 is the leading digit is,

P(1) = \log ( ( 1+1)/ 1)\nP(1) = \log ( 2)\nP(1) = 0.301\n

Hence, The probability that the number 1 is the leading digit is 0.301.

Learn more about Probability here:

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Which is greater a 2.75 gallon container or juice or 12 liter container of juice

Answers

a 2.75 gallon container because 2.75 gallons in liters is 12.5017475.

What is the distance in space between the points with coordinates (-3,6,7) and (2,-1,4) ?

Answers

A(-3;\ 6;\ 7);\ B(2;-1;\ 4)\n\n|AB|=√((2-(-3))^2+(-1-6)^2+(4-7)^2)\n\n=√(5^2+(-7)^2+(-3)^2)=√(25+49+9)=√(83)