Solve for w in the equation below.

 we need determine the radius of the circle before we can find the circumference of the circle from the given area.

Let r be the radius of the circle, then

Substituting the value of area

Dividing both sides by pi and taking square root on both sides yields

Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:

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.

To estimate the total amount, round each price to the nearest dollar:

1. Hat: $19.49 → $19 (since 0.49 rounds down)
2. Shirt: $21.49 → $21 (since 0.49 rounds down)
3. Shoes: $59.99 → $60 (since 0.99 rounds up)

Now, add the rounded values:

19+21+60=10019 + 21 + 60 = 10019+21+60=100

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

 To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,

Now, we find the value of x by cross-products as follows

Thus, the minimum length required to provide access is 60 feet.

 we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.

Thus, 3.9 L is 3900 mL.

 In this problem, we need to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 6p

Number of nickels in the bottle = 2p

Number of dimes in the bottle =5(2p)=10p

Now relating dimes to nickels, we have

Thus, there are 5 times as many dimes as quarters in the box.

A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6. The even numbers are 2, 4, and 6.

Step 1: Probability of rolling an even number on the first roll

There are 3 even numbers out of 6 total numbers, so:

P (evenonsecondroll) = 3/6 = ½

Step 2: Probability of rolling an even number on the second roll

Since rolling the die is an independent event, the probability remains:

P (evenonsecondroll) = 3/6 = ½

Step 3: Multiply the probabilities

P (evenonfirstANDevenonsecond) = ½ × ½ = ¼

 We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.

Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.

We find the value of x by cross-multiplication

The value of x is 110 lb.

To find the greatest number from the given options, convert the decimal numbers into fractions.

6.25 becomes 625/100

7.4 becomes 74/10

The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.

3/8*2800=1050

625/100*2800=17500

10/7*2800=4000

74/10*2800=20720

The fraction 7.4is the greatest of all.