Which of the following expressions represents the sum of three times a number and eight times a different number?

The most likely weight of pencil is 25 g, because a pencil is a lighter object which is measured in grams.

The dimension of the field is shown below.

Area of rectangle = length * width

Area of rectangle = 100 m *75 m = 7500 m2

Area of the rectangle in hectares =

Let width of the rectangle be W. We are told that length, L is 3 units greater than width. Then,

L=W+3

And perimeter of the rectangle is given by the relation, P=2(L+W]=2L+2W

In place of L substitute W+3. Thus,

P=2[W+3]+2W

Step 1: Find a common denominator

The least common denominator (LCD) of 6 and 3 is 6.

Convert 4/3​ to have denominator 6:

4/3=8/6

Step 2: Add the fractions

5/6+8/6=13/6​

Step 3: Convert to a mixed number

13/6 = 2 1/6

The best estimate is about 2 ½ cups.

We know that the two people work on the same work but the time to complete the work differs. Thus, the rate of doing the work for each person is as follows:

Rate of work for person A = 1 /2 work per hr

Rate of work for person B=1/3 work per hour

If person A and B work together, the time of doing the same work will be less than the fastest person A. Thus, we combine the two rates of A and B

We have 1 work and time to complete by both A and B becomes

To compare the given values, convert them to the same number format. In this case, convert the given fractions into equivalent decimals.

10/3=3.3333…..

9/2=4.5

Thus, the numbers become 4.25, 3.333…, 4.4, 4.5

Now arranging them in ascending order becomes 3.333…., 4.25, 4.4, 4.5

From the above, 4.5 is the greatest value.

Independent is a variable that determines the outcome of the other variable. In this case, the credit hours determine how other three variables change. Thus, the number of credit hours is the independent variable.

Given:
- Original price of the recliner: P
- Sale price (30% less than the original price): 0.7P
- Coupon saves an additional 25% off the sale price: 0.75 *0.7P = 0.525P
- The consumer pays $237 for the recliner.

We set up the equation:
0.525P = 237

Now, let's solve for P:

P = 237 / 0.525}
P = 451.428

Rounded to the nearest dollar, the original price of the recliner is approximately 451dollars.

Yoghurt: toppings=4:3

Yoghurt: 4.5 oz =4:3

We convert the given ratio into a proportion equation as below

Multiply both sides by 4.5 oz

Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.