Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.

Solve 24 - 3 x = -27.

Final answer:

The additive inverse of 6 yards (4 yards on first down and 2 yards on second down) is -6 yards. A yard is a unit of length equal to 3 feet and is an SI Base Unit standard used in football.

Explanation:

The student is asking about the additive inverse of the yards gained in a football game. The additive inverse of a number is a number that, when added to the original number, will result in zero. In this case, the football team gained 4 yards on first down and 2 yards on second down, making a total of 4 + 2 = 6 yards. Therefore, the additive inverse of 6 yards is -6 yards because 6 + (-6) equals zero.

When considering SI Base Units, a yard is a unit of length equal to 3 feet. This is a predefined standard used internationally, and especially relevant in football, where moving the ball 10 yards results in a first down. This standardization ensures clarity and uniformity in the game, regardless of the location.

For z and -1.9 to be additive inverses, they must sum up to zero. Consequently, z should be 1.9, and both -1.9 and z (=1.9) placed on a number line would reflect their locations relative to zero. The sum of -1.9 and 1.9 would equal zero.

In Mathematics, additive inverses are two numbers that add up to give zero. If the numbers z and -1.9 are additive inverses, this means that when added together, they produce the sum of zero. Therefore, z should be the opposite of -1.9, 1.9 on the number line.

The number -1.9 would appear on the left-hand side of the zero because it is a negative number. The number z (=1.9) would appear on the right-hand side of the zero because it's positive. According to the definition of additive inverses, the sum of these two numbers (-1.9 and 1.9) would be zero. So, 'Sum' would also be zero on the number line.

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the inequality "2 more than k is greater than -3" can be represented as:[tex]\[ k + 2 > -3 \][/tex]

To translate the phrase "2 more than k is greater than -3" into an inequality, we can follow these steps:

1. Identify the expression "2 more than k."

2. Write the expression as an inequality where it is greater than -3.

Step 1: "2 more than k" translates to (k + 2).

Step 2: Since "2 more than k" is greater than -3, we write the inequality:

[tex]\[ k + 2 > -3 \][/tex]

So, the inequality "2 more than k is greater than -3" can be represented as:[tex]\[ k + 2 > -3 \][/tex]

When calculating how much flour is used per roll in each recipe, recipe C (at 0.22 cups per roll) uses more flour per roll than recipe A (at 0.2 cups per roll).

To determine which recipe uses the most flour per roll, we first need to calculate the flour-per-roll for each recipe. For recipe A, it makes 5 dinner rolls using 1 cup of flour. So, the flour-per-roll for recipe A is

1 cup of flour ÷ 5 rolls = 0.2 cups per roll

. For recipe C, it makes 45 rolls using 10 cups of flour. So, the flour-per-roll for recipe C is

10 cups of flour ÷ 45 rolls = 0.22 cups per roll

. Comparative analysis shows that recipe C requires more flour per roll than recipe A.

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Answer:

Which statement about the function is true?

⇒ The function is increasing for all real values of x where

x < –4.

The mean value of the data $370, $310, $380, $340, and $310 will be $342.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The monthly fees for single rooms at 5 colleges are $370, $310, $380, $340, and $310 respectively.

The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

The mean is given as,

Mean = (Sum of the observation) / (Total number of the observation)

The sum of the observation will be

Sum of the observation = $370 + $310 + $380 + $340 + $310

Sum of the observation = $1,710

The total number of the observation will be

Total number of the observation = 5

Then the mean of the data will be

Mean = $1,710 / 5

Mean = $342

Thus, the mean value of the data $370, $310, $380, $340, and $310 will be $342.

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Answer: Comparison bars are a display tool for solving the scenario in which two elements are compared with the difference is either known or unknown.

There are three kinds of use of comparison bars in word problem such as 1) If difference is unknown then A-B=Difference[where A -bigger quantity, B-smaller quantity]. 2) If bigger quantity is unknown then A=Difference-B 3) If smaller quantity is unknown then B=Difference-A.

A drawing of comparison bars, also known as a bar graph, can be used in word problems when there is a need to compare different entities or categories. It is particularly useful in situations where quantitative data needs to be visually represented and compared. For example, if you are given data about the sales of different types of fruits in a grocery store, you can use a bar graph to compare the sales of each fruit.

A drawing of comparison bars, also known as a bar graph, can be used in word problems when there is a need to compare different entities or categories. It is particularly useful in situations where quantitative data needs to be visually represented and compared. For example, if you are given data about the sales of different types of fruits in a grocery store, you can use a bar graph to compare the sales of each fruit.

Here are the steps to create a drawing of comparison bars for a word problem:

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Both the domain and range of this function are all real numbers.

The two things that typically limit a domain are dividing by zero and taking the square root of a negative. Since this function does not have a square root or a denominator, then you must be able to use all real numbers.

Answer:

Step-by-step explanation:

If there are 4 students, they need to sell 53 candy bars, and they will sell the same amount each one, we just have to divide:

[tex]\frac{53}{4} =13.25[/tex], or [tex]13\frac{1}{4}[/tex]

Because the division is not exact, we have a remainder of 1.

This can be interpreted as 1 candy is not sold, because they are gonna sell equally, so in that case each one would sell 13 candy bars, and one will be unsold.

The number that would have 12. 75 being 25 percent of it would be 51.

To find the number of which 12. 75 is 25 %, you can set up a proportion and solve for the unknown number ( let's call it " x ").

You can write the proportion as:

( 25 / 100 ) * x = 12. 75

Now, simplify the left side of the equation:

( 1 / 4 ) * x = 12.75

To solve for x, multiply both sides by 4 to isolate x:

x = 12. 75 * 4

x = 51

So, 12. 75 is 25% of the number 51.

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