What is 2 1/4 inches + 5 3/4 inches + 8 1/2 inches equals

Answers

Answer 1

Answer: 2 1/4 inches + 5 3/4 inches + 8 1/2 inches:

First, to start solving this problem, we will have to add the whole numbers first. The whole numbers are the...whole numbers in front of the fraction. In this case, the whole numbers would be 2, 5, and 8. So, we have to add those three numbers up (2 + 5 + 8) to get the answer which is 15.
$15 + (1)/(4) + (3)/(4) + (1)/(2)$

Second, now we have to find the least common denominator (LCD) of the three denominators. The denominators are the bottom number of the fraction. This case the denominators would be 4, 4, and 2.To find the LCD, we will have to list the multiples of each denominator and find the first common one.

Multiples of 4: 4
Multiples of 4: 4
Multiples of 2: 2, 4

Since 4 appears in the multiples of each denominator, 4 is our LCD.

Third, since only one fraction needs their denominator changed (the other two fractions already carry the denominator of 4), we have to multiple each number by whatever gets us 4. Remember, whatever you do to the bottom, do to the top.
$15 + (1)/(4) + (3)/(4) + (1*2)/(2*2) = 15 + (1)/(4) + (3)/(4) + (2)/(4)$

Fourth, since all of our denominators are the same, we can now combine our numerators (join the denominators) and add them all up.
$15 + (1+3+2)/(4) = 15 + (6)/(4)$

Fifth, we now need to convert 6/4 into a mixed fraction. To find the mixed fraction form of 6/4, we will need to divide the denominator (4) by the numerator (6) and then write any remainder above the denominator.

Mixed fraction: $15 + 1 (2)/(4) = 16 (2)/(4)$

Sixth, we can simplify 2/4 down some more. To do so, we need to find the greatest common factor of the numerator and denominator, then divide the GCF by them. To find the GCF, we list all of the factors of them and find the first common one.

Factors of 2: 1, 2
Factors of 4: 1, 2, 4

The GCF is 4.

Seventh, we can now divide both our numerator and denominator by our recently found GCF which was 2.
$2 / 2 = 1 \n 4 / 2 = 2$

Answer in fraction form: $\fbox {16 1/2 inches}$
Answer in decimal form: $\fbox {16.5 inches}$

Answer 2

Answer: 2.25 + 5.75 + 8.5 = 16.5 inches or 1.375 feet.

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Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. They would like to earn a profit of at least $750Part A: Define a variable to represent the unknown quantity in this situation.

Part B: Write an inequality to represent the amount of money charged per lawn, the cost of the lawnmower and the profit.

Answers

Answer:

I got 65

Step-by-step explanation:

The profit will be given as:

P=$15x−$225

(where we subtracted the cost of the mower) so that P=$750

x will be the required number of needed lawns.

We need to solve:

$750=$15x−$225

rearranging:

x=$750+$225 / $15 =65 lawns

Pranav made a nut mixture that contains 82% peanuts by mixing 6kg of mixed nuts with 9kg of peanuts. The mixed nuts contained what percent peanuts?

Answers

ok so
82%=82/100=0.82

82% of all =peanuts

total=6+9=15kg

all=15
0.82 times 15=peanuts
12.3=peanuts

12.3kg of peanuts total
9kgpeanuts+xkgpeanuts(inmixednuts)=12.3
subtract 9 from both sides
xkgpeanuts=3.3kg

3.3/9=x%
x%=x/100
3.3/9=x/100
1.1/3=x/100
multiply both sides by 300
110=3x
divide both sides by 3
36.6666=x
36.6666% is answer
aprox 37%

Can you solve 2^x=e^(x+2)

Answers

Answer: Yes, I can.

Although you haven't asked for the solution, here it is anyway:

2^x = e^(x+2)

x ln(2) = x+2

x ln(2) - x = 2

x [ ln(2) - 1 ] = 2

x = 2 / [ ln(2) - 1 ]

x = 2 / -0.3069... = - 6.518... (rounded)

$2^x=e^(x+2)\n \n ln(2^x)=ln(e^(x+2))\n \n xln(2)=(x+2)ln(e)\n \n xln(2)=x+2\n \n (x+2)/(x)=ln(2)\n \n (x)/(x)+(2)/(x)=ln(2)\n \n 1+(2)/(x)=ln(2)\n \n (2)/(x)=ln(2)-1\n \n \boxed{x=(2)/(ln(2)-1)}$

You are a restaurant manager and are responsible for ordering ingredients for the restaurant at supplier number one you can purchase 20 gallons of milk for $70 at supplier number two you can purchase 50 quarts of milk for $33.50 at supplier number three you can purchase 15 gallons for $48.75 and receive a course free which is the best deal

Answers

So basically you have 20 gal for 70 dollars 12.5 gal for 33.50 or 15 gal for 48.75. So you would need to find how much you spend per gallon divide total money by total gal. So for 15 gal you pay 3.25 per gal, for 12 gal you pay 2.79 per gal and for 20 gal you pay 3.5 per gal. Then I would find out how much I would pay each for 1 specific amount; so for 12 gal from each deal Deal A = 3.50(12)=42, Deal B 2.79(12)=33.50, Deal C 3.25(12)=39.
So the best deal would be Deal C because it would initially come out cheaper and comes with a free meal.

Line m passes through the points (3, 7) and (6, 12) while line n passes through the points (-5, 1) and (-2, 6).Which statement accurately describes the relationship between the two lines?

A. Lines m and n have the same slope so they are parallel.
B. Lines m and n have the same slope so they are perpendicular.
C. Lines m and n have opposite reciprocal slopes so they are perpendicular.
D. Lines m and n have opposite reciprocal slopes so they are parallel.