Which transformations can be used to carry ABCD onto itself? The point of rotation is (3, 2). Check all that apply.

Answer and explanation:

Algebra revolves around the fundamental idea of using letters known as variables to represent quantities, which allows for solving for unknown values. Essentially, algebra involves transitioning from what is known to what is unknown to ascertain those unknown results. For instance, if we know a specific item was purchased twice but we're unsure of its price, we can denote this unknown price as 2a or 2p, depending on the selected variable. If the total spending for those items is, say, $50, we can set up the equation 2a = $50, which leads us to find that the cost per item is $25.

Algebra can also manifest itself in expressions, commonly referred to as algebraic expressions, which can be incorporated into equations, such as the previously mentioned 2a = $50. These expressions may take forms like 2a + 3b, where a and b designate the costs of different products that were acquired in quantities of 2 and 3, respectively.

2G=B+3
G=B-4

2(B-4)=B+3
2B-8=B+3
B=11

Bert possesses 11 cents

Answer:

The segments of the positive graph are located at the coordinates (-5,-4) and (2,5).

In contrast, the negative segment is identified as (-4,2).

Step-by-step explanation:

The positive graph is above the x-axis, while the negative portion lies beneath the y-axis.

Within the interval (-1,5),

The graph appears below the x-axis between (-1,2)

And above it between (2,5).

At this juncture, Lonzell’s assertion is inaccurate.

Within the interval (-5,-1),

The graph again resides below the x-axis in the range (-4,-1)

And above it between (-5,4).

At this point, Lonzell's assessment remains incorrect.

Thus,

The segments of the positive graph are at the coordinates (-5,-4) and (2,5).

Meanwhile, the negative segment is identified at (-4,2).

Each 16-ounce serving contains 330 mg of caffeine. For 8-ounce servings:
330 mg divided by 2 equals 165 mg.
The limit for caffeine intake is capped at 600 mg.
Calculating for three servings: 165 mg * 3 = 495 mg, which is under the limit.
Calculating for four servings: 165 mg * 4 = 660 mg, exceeding the maximum amount.
Thus, a person can consume 3 full 8-ounce servings daily while remaining within the safety limit.

Answer:

1.  $14.88

2.  $12.40

Step-by-step explanation:

Translated into English:

A company is responsible for transporting office cabinets over a distance of 425km. The charge is R $ 2.10 for each kilometer journeyed. If the cabinets are assembled, the vehicle can carry 60 units. When taken apart, the capacity expands by 6 times. We need to determine: 1- The cost for each assembled cabinet? 2- The savings achieved per cabinet when they are disassembled.

Solution:

For 425 km at R $2.10 per km:

425 * 2.10 = $892.50 total expenditure

For the 60 assembled cabinets, the cost for each is calculated as:

Cost per assembled cabinet = 892.5/60 = $14.875, rounding to $14.88

When disassembled, the capacity becomes:

60 * 6 = 360

The cost per cabinet is then:

892.5/360 = $2.48

The savings indicate how much is saved compared to assembled cabinets:

14.88 - 2.48 = $12.40

Savings = $12.40