A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr

The ratio of women to men is 34 to 382. To find the total sales, we compute 382 multiplied by 2.50, resulting in $955. For women, the calculation is 34 multiplied by 1.25, which equals $42.50. Therefore, summing these amounts gives us $955 + $42.50 = $997.50.

Response: 100/400

Detailed explanation:

The statements labeled 1 and 4 are accurate. To easily see the center and radius of the circle, we can modify the given equation to fit its standard format. Once in standard form, we can contrast it with the standard equation to find the circle's center and radius. The coordinates for the center are determined to be (1,0) and the radius is represented by . With this understanding, we can evaluate each statement. 1. The circle's radius is 3 units—this is true. 2. The circle's center is located on the y-axis—this is incorrect, as the center at (1,0) indicates it is on the x-axis. 3. The standard equation is (x - 1)² + y² = 3—this is false; the correct equation is (x - 1)² + y² = 9. 4. The circle's radius matches that of the circle with the equation x² + y² = 9—this statement is correct, as both radii equal 3.

Response:

(C) Fourth

Detailed reasoning:

We will create a list based on the given constraints.

Chris is last in the order, positioned right after Andy.

Frank holds the first position in line and is one spot ahead of Betty.

Mark stands in between Betty and Mary.

1. Frank
2. Betty
3. Mark
4. Mary
5. Andy
6. Chris

This is an exercise in fact families. A fact family consists of four related facts: two addition sentences and two subtraction sentences. The task asks for the subtraction fact written two ways.

First way. Start with 10 objects—imagine 10 triangles:

Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

If you remove 3 triangles, how many remain? Seven remain:
Δ Δ Δ Δ Δ
Δ Δ 

So subtracting 3 from 10 gives:


Second way. Again begin with the same 10 triangles:Δ Δ Δ Δ Δ
Δ Δ Δ Δ Δ

This time remove 7 triangles; the leftovers are 3:
Δ Δ Δ

Thus subtracting 7 from 10 yields: