A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?

To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.

Let x be the number of cups of milk needed, then

The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.

The range of a data set is calculated as:

Range=MaximumValue−MinimumValue

From the given bar graph:

• The minimum number of goals scored is 0.
• The maximum number of goals scored is 5.

Thus, the range is:

5−0=5

Step 1: Calculate the Discounted Price per Unit

The original price of each unit of bedding is $160. Since there is a 10% discount, the discounted price per unit is:

DiscountedPrice =160−(0.1×160) =160×0.9

Step 2: Determine the Total Cost

If X units are purchased, the cost for all units is:

T = (0.9)160X

Since there is a fixed shipping cost of $25 per order, the total cost equation becomes:

T = (0.9)160X+25

Step 3: Identify the Correct Answer

The equation that matches this is:

C. T=(0.9)160X+25

The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.

The number of boxes is found by volume of the room divided by volume of one box.

Number of boxes

The room can hold 125 boxes.

The probability of finding the probability of a yellow ball is given by

Total number of balls in the bag=2+3+7=12 balls

The probability of drawing a yellow ball from the bag is 7/12.

The perimeter of a shape is the sum of the lengths of all its sides.

Given Trapezoid:

• Top side: 10 cm
• Bottom side: 16 cm
• Left slant side: 5 cm
• Right slant side: 5 cm

Calculate the Perimeter:

10+16+5+5=36cm

 We are asked to make w the subject of the formula.

First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).

To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then

Width of the rectangle= w

Length of rectangle=(w+8)

Area of the rectangle, A= Length*width=(w+8)*w

A=w(w+8)

Thus, the area of the rectangular room is w(w+8).

To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:

1. Identify the tenth place in 24.375:
   • Tenth place: 3 (24.375)
   • Hundredths place: 7 (the next digit after the hundredths place)
2. Apply rounding rules:
   • If the hundredths place is 5 or greater, round up the tenth place.
   • Since 7 is in the hundredths place, round 24.3 up to 24.4.