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

Since the screen sizes are proportional, we can set up a proportion based on the diagonal lengths of the screens.

Let x be the length of the vehicle on the 50-inch screen. The proportion based on the screen sizes is:

=

Now, solve for x:

x = = ≈14.06

Rounding to the nearest inch, the vehicle will appear about 14 inches long on the 50-inch screen.

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

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 find the circumference of the flower bed (which is a circle), you use the formula π×diameter\pi \times \text{diameter}π×diameter. With a diameter of 5 feet and using π≈3.14\pi \approx. 3.14π≈3.14, the calculation is 3.14×5=15.73.14 \times 5 = 15.73.14×5=15.7 feet, which is the required length of the barrier.

C. 3.9 meters

Explanation

To convert centimeters to meters, we divide by 100

1 meter = 100 centimeters.

390 cm÷100

=3.9 meters

Which of the following is the median of the data set below?

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%

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.

We use the relation 1 kg =1000 g to convert 3.193 kg to g

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.