Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of h

Answer:

A

Step-by-step explanation:

To construct the perpendicular bisector, follow these steps:

Step 1:

Set the compass to a distance greater than half the length of segment AB, place it on point A, and draw an arc across AB.

Step 2:

Keeping the same width, place the compass on point B and create another arc across AB.

Step 3:

With the ruler, connect the two intersection points of the arcs by drawing a line.

Step 4:

This line will be the perpendicular bisector of the segment AB.

Thus, option A is the correct choice.

Answer: Circle C has a radius of 7 cm.

Explanation:

Referring to the illustration below:

Let's denote the radius of circle C as x.

Circle A's radius can be represented as 2x.

Circle B's radius can be expressed as 4x.

The length of side AC in triangle ΔABC becomes x + 2x = 3x.

For side BC of triangle ΔABC, we get 4x + x = 5x.

Similarly, for side AB of triangle ΔABC, it is 4x + 2x = 6x.

Given that the perimeter of triangle ΔABC totals 98 cm.

Remember, the perimeter refers to the total length around the triangle.

Hence, Perimeter = 6x + 5x + 3x = 98 cm.

Thus, 14x = 98.

From this, we find x = .

Therefore, x = 7.

This concludes that the radius of circle C is 7 cm.

You can acquire 42 cookies through 12 different combinations. The first method involves purchasing 2 packs of 21 (21x2 = 42). The second consists of acquiring 1 pack of 21 alongside 3 packs of 7 (21 + 3x7 = 42). The third way is to buy 1 pack of 21 and 21 individual cookies (21 + 21 = 42). The fourth option combines 1 pack of 21, 1 pack of 7, and 14 single cookies (21 + 7 + 14 = 42). The fifth strategy includes 1 pack of 21, 2 packs of 7, and 7 individual cookies (21 + 14 + 7 = 42). The sixth way is to opt for 6 packs of 7 (7x6 = 42). The seventh option is to purchase 5 packs of 7 along with 7 individual cookies (7x5 + 7 = 42). For the eighth method, you can buy 4 packs of 7 and 14 single cookies (7x4 + 14 = 42). The ninth way is to get 3 packs of 7 with 21 single cookies (7x3 + 21 = 42). The tenth consists of acquiring 2 packs of 7 plus 28 individual cookies (7x2 + 28 = 42). The eleventh strategy involves 1 pack of 7 and 35 single cookies (7 + 35 = 42). Lastly, the twelfth method is simply buying 42 individual cookies (42 = 42).

This is due to the distinct properties of logarithms in comparison to algebra. The expression log(3x - 1) is interpreted as log 3x divided by log 1. If we proceed with rearranging and solving for x, we arrive at: log(3x - 1) = log28, log 3x/log 1 = log 28, resulting in log 3x being equal to log 28 multiplied by log 1 which equals 0. Thus, 3x = 10⁰ = 1, leading to 3x = 1 and x = 1/3. Therefore, it follows that 3x - 1 equals 3(1/3) - 1 = 0.

Shane and Abha received a team badge for gathering at least 2000 cans for recycling.

This indicates that their collection must total a minimum of 2000 cans.

Abha managed to collect 178 more cans than Shane.

Let’s denote the number of cans Shane collected as S

So, Abha collected = S + 178

The inequality representing the number of cans collected by Shane can be expressed as:

=