Which of the following is the equivalence in pounds for 50 kg? (2.2 lb =1 kg)

we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.

34÷96=

3/8=3/8

0.372=372/1000

37%=37/100

Now, we need to find the least common denominator of 48, 8, 1000, and 100, which is 6000. We multiply each fraction by 6000 as follows:

17/48*6000=2125

3/8*6000=2250

372/1000*6000=2232

37/100*6000=2220

From the above calculations, arranging the fraction from the largest to the smallest in order is: 3/8, 372/1000,37/100, and 17/48.  Thus, the greatest value is 3/8.

To form an equation from the word problem, first break the given statement into smaller statements.

First, we are given the width of the rectangle as x. We are told, the length is three times width. Mathematically, this means

Length=3*width=3*x=3x

Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:

Length =3x-4

This is the required equation.

In this problem, we assume the truck carries a whole cargo. Thus, total weight is 516 lb divided by 1/3. Thus,

We change the division sign to product and multiply 516 by reciprocal of 1/3. Then,

The weight of the cargo will be 1548 lbs.

we need to find the net income of the nurse in 4 weeks from the weekly net income.

Weekly net income=gross income-total tax

Total tax=federal income tax+state income tax+Social Security tax

Total tax=$(83.00+38.00+79.00)

Total tax=$200.00

Weekly net income=$(800.00-200.00)=$600.00

In one week, the net income of the nurse is $600.00 and in 4 weeks the nurse will a net income of:

The nurse will earn $2,400.00 in 4 weeks after taxes are deducted.

To find the least common denominator (LCD) of the fractions 1/2, 2/3, and 4/5, follow these steps:

Step 1: Identify the denominators

The denominators are 2, 3, and 5.

Step 2: Find the least common multiple (LCM)

The LCM of 2, 3, and 5 is the smallest number that all three denominators divide into evenly.

• Prime factorization:
  • 2=2
  • 3=3
  • 5=5

Since 2, 3, and 5 are all prime numbers, their LCM is:

2×3×5=30

When dealing with percent problems, the following is utilized to find the unknown variable.

• Is means equals
• Of means multiply
• What means unknown (variable)

From the problem above, we are looking for the amount of gratuity the couple can leave.

Let t be the amount of gratuity. Translating into an equation, we have

The gratuity is 15% of the total bill, which becomes

Here, of means multiply and we also convert percent into decimal before multiplying.

So, the value of t=5.76

Thus, a couple will leave a gratuity of $5.76, which is about $6.00.

We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:

And

Since we want to end up with millimeters, the second conversion is used in converting L to mL as:

Thus, 0.5 L is equivalent to 500 mL.

here we use the US customary system to convert between yards and feet. We use the conversion 1 yard =3 feet. Then, 6 yards to ft is found as

Thus, 6 yards is equal to 18 ft.