Which of the following is the most likely weight of a pencil?

The independent variable is the one that is changed or controlled in an experiment to test its effects on the dependent variables. Here, the number of hours worked is independent because it affects the other variables (taxes withheld, retirement savings, and sick leave), making it the cause rather than the effect.

Let's work step by step to find the original price of the recliner.

Let the original price of the recliner be x.

The recliner is on sale for 30% off the original price. So, the sale price is:

SalePrice = x−0.30x = 0.70x

The consumer has a coupon that saves an additional 25% off the sale price. So, the final price is:

FinalPrice = 0.70x − 0.25(0.70x)

= 0.75(0.70x)

= 0.525x

The consumer paid $237 for the recliner. Therefore, we have the equation:

0.525x = 237

Solving for x:

x =

​≈ 451.43

Rounding to the nearest dollar, the original price is approximately $451,

To calculate the average rate of change per month, we first determine the total change in the account balance and then divide that by the number of months over which the change occurred.

The change in the balance from March 15 to August 15 is:

Changeinbalance=1450−1140=310

Now, we calculate the number of months between March 15 and August 15:

Numberofmonths=5months

Next, we find the average rate of change per month:

Averagerateofchangepermonth = = 62

In this case, we are measuring average weight of the babies with time. The weight of the babies will vary with time, meaning when we vary time, the average weight of the babies will be different. Here, time is independent while average weight is dependent variable.

Given the equation

(x/y)-z=rw

Subtract z on both sides of the equation

x/y=rw+z

multiply both sides by y

x=y(rw+z)

Now rearranging the fllowing equation

x=y(z+rw)

To find the average speed in miles per hour, we need to convert the time from minutes to hours and then use the formula for speed:

Speed =

The distance traveled is 7.125 miles.

The time was 10 minutes, which is equivalent to:hours

Now, we can calculate the speed:

Speed = 7.125 ÷ = 7.125×6 = 42.75mph

Here are the calculations for the medium and large pizzas:

Medium Pizza:

Diameter: 11 inches

Area: ××= 95.03 square inches

Price: $9

Cost per square inch: = 9.47 cents

Large Pizza:

Diameter: 15 inches

Area: ××= 176.71 square inches

Price: $13

Cost per square inch: = 7.36 cents

Cost Difference

The large pizza costs about 2.11 cents less per square inch than the medium pizza.

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

Change in weight of client=new -old=1072-841= 231

Percent change=change/old*100%=231/841*100%=27.47%

The percentage change increase is about 27%

A 10% discount on the original price of $950 equals $95 (10% of 950 = 95). Subtracting this discount from the original price, $950 - $95, gives a sale price of $855.