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2 years ago

How much heavier is a 9 1/8 pound box than a 2 5/6 pound box?

1 answer:

4 0

So let’s simplify the given situation.
We need to find out how much heavier is 91/8 lbs. compare to 2 5/6 lbs.
Since, it’s a combination of whole number and fraction; we cannot directly subtract this given equation. We need to convert the two given number into a fraction.
9 1/8 = 8 x 9 = 72 + 1 = 73, 73 is our numerator and 8 is our denominator
=> 73/8
2 5/6 = 6 x 2 = 12 + 5 = 17, 17 is our numerator and 6 is our denominator
=> 17/6

Now, we have 2 fractions with unlike denominator. In order to get a common denominator, we have to find their least common factor.

=> 73 - 17 = 73 x 6 - 17 x 8 
 8 6 8 x 6 6 x 8
=> 438 – 136 Now, we have the same denominator, subtract
 48 48
=> 302 or 151
 48 24
=> 6 7
 24
Therefore 9 1/8 lbs. is 6 7/24 lbs. heavier than 2 5/6 lbs.

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Mrs. Hall has a balance of $450 in her student account. She spends $15 each week on snacks for the after school meetings. If Mrs

xxMikexx [17]

Answer:

18 weeks

Step-by-step explanation:

Let the number of weeks be represented by a variable x;

Beginning balance = 450

Ending balance= 180

Amount spent per week= 15

Amount spent in x weeks = 450-180= $270

Total amount spent in x weeks = 15*x = 15x

Equate the above equations to the corresponding dollar amount;

15x=270

Next, solve for x by dividing both sides by 15

x=270/15

x= 18

Therefore, there are 18 weeks in the semester.

4 0

2 years ago

Assume the upper arm length of males over 20 years old in the United States is approximately Normal with mean 39.3 centimeters (

BabaBlast [244]

Answer:

The lengths from 32.1cm to 46.5cm covers 99.7% of this distribution.

Step-by-step explanation:

The 68-95-99.7 rule states that, for normally distributed measures:

68% of the values are within 1 standard deviation of the mean.

95% of the values are within 2 standard deviations of the mean.

99.7% of the values are within 3 standard deviations of the mean.

(a) What range of lengths covers almost all, 99.7%, of this distribution?

Those are those values within 3 standard deviations of the mean. So

From A to B, in which

$A = \mu - 3\sigma = 39.3 - 3(2.4) = 32.1$

$A = \mu + 3\sigma = 39.3 + 3(2.4) = 46.5$

The lengths from 32.1cm to 46.5cm covers 99.7% of this distribution.

3 0

1 year ago

The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of mone

Elena-2011 [213]

Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

Rate r = 0.04

time = x

The amount of money originally invested which is the principal P = 5,000

4 0

2 years ago

Write a real world problem that can be represented by the equation 3/4c=21

Black_prince [1.1K]

Answer: Real world problem is "A student have c toffee he distribute $\frac{3}{4}$ th part of those toffees to his friends. He gave total 21 toffees to his friend".