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

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

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

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,

C. 3.9 meters

Explanation

To convert centimeters to meters, we divide by 100

1 meter = 100 centimeters.

390 cm÷100

=3.9 meters

The dimension of the field is shown below.

Area of rectangle =length * width

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

Area of rectangle in hectares =

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.

Let two number be x and y. Then

Three time a number=3x

Eight times a different number=8y

Sum of the two is 3x+8y

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 number of calories from fat per tablespoon, follow these steps:

Calculate the total calories from fat in one serving (2 tablespoons):

87.5%×80=0.875×80=70caloriesfromfat

Determine the calories from fat per tablespoon: Since one serving is 2 tablespoons, divide the total calories from fat by 2:

=35caloriesfromfatpertablespoon