the graphs of two different direct variations can be parallel

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.

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]

Answer: 443 each row

Step-by-step explanation:its simple u can find out how many people sat on the vistor side (which was 3544) and divide that by 8 sfn u get ur answer think about  it next time bud!

Final answer:

To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, set up a system of equations based on the given information. Solve the equations to find the values of x and y.

Explanation:

To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, we can set up a system of equations based on the given information.

Let x be the number of pounds of Earl Grey tea, and let y be the number of pounds of Orange Pekoe tea.

We know that the selling price of the new blend is $3.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types.

This means that the revenue from selling the Earl Grey tea and Orange Pekoe tea separately should be the same as the revenue from selling the new blend.

The revenue from selling the Earl Grey tea is 4x, and the revenue from selling the Orange Pekoe tea is 2y. So we have the equation 4x + 2y = 3.50 ×400.

We also know that the total weight of the new blend is 400 pounds, so we have the equation x + y = 400.

We can solve these two equations to find the values of x and y.

x=4_____________________________________________________________________________________________________

The multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The fraction is 3/10

And the fraction of 3/10 is equivalent to the 15/50

3/10 = 15/50

On the left side multiply by 5 on the numerator and denominator.

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

= (3/10)(5/5)

= 15/50

Thus, the multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.

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The gas mileage of Ms. Gonzalez's car is 48 miles per gallon. Therefore, the correct answer is B. 48 miles per gallon.

To find the gas mileage of Ms. Gonzalez's car, we divide the total distance travelled by the amount of gas consumed.

Given:

- Total distance travelled = 420 miles

- Amount of gas consumed = 8 3/4 gallons

To find the gas mileage, we divide the total distance by the amount of gas:

[tex]\[ \text{Gas mileage} = \frac{\text{Total distance}}{\text{Amount of gas consumed}} \][/tex]

[tex]\[ \text{Gas mileage} = \frac{420}{8 \frac{3}{4}} \][/tex]

To divide by a mixed number, we first convert it to an improper fraction:

[tex]\[ 8 \frac{3}{4} = \frac{(8 \times 4) + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4} \][/tex]

Now, we can perform the division:

[tex]\[ \text{Gas mileage} = \frac{420}{\frac{35}{4}} \][/tex]

[tex]\[ \text{Gas mileage} = \frac{420 \times 4}{35} = \frac{1680}{35} \][/tex]

[tex]\[ \text{Gas mileage} = 48 \text{ miles per gallon} \][/tex]

Rounded to the nearest mile per gallon, the gas mileage is 48 miles per gallon.

So the correct answer is: B. 48 miles per gallon.

Complete Correct Question:

Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .

A. 43 miles per gallon

B. 48 miles per gallon

C. 49 miles per gallon

D. 50 miles per gallon

Answer:

(c) a reflection over the x-axis and a translation 4 units down

Step-by-step explanation:

I took a quiz with this question :) Happy Halloween

To solve (7 × 10^5) + (2 × 10^3), you add the numbers in expanded form (700,000 + 2,000 = 702,000) and then convert to scientific notation (7.02 × 10^5). The correct answer is 7.02 × 10^5.

To find the sum of (7 × 10^5) and (2 × 10^3), you first write out these numbers in their expanded form:

Adding the two numbers:

700,000 + 2,000 = 702,000

Now, we need to convert 702,000 back into proper scientific notation. To do this:

Therefore, 702,000 is 7.02 × 10^5 in scientific notation, which makes the correct answer:

(7 × 10^5) + (2 × 10^3) = 7.02 × 10^5,

so the correct choice is D) 7.02 × 10^5.

The value of x is 1, and the length of segment BC is 5 units.

If point B is between points A and C, then we can use the segment addition postulate to relate the lengths of segments AB, BC, and AC.

According to the segment addition postulate, the sum of the lengths of two segments that form a larger segment is equal to the length of the larger segment. In this case, we have:

AB + BC = AC

We're given that AB = 3x, BC = 5x, and AC = 8. Substituting these values into the equation:

3x + 5x = 8

Combine like terms:

8x = 8

Now, divide both sides by 8 to solve for x:

x = 8 / 8

x = 1

So, x is equal to 1.

Now that we know the value of x, we can find the length of segment BC:

BC = 5x

BC = 5 * 1

BC = 5

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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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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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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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Answer:

x+x-8=50

2x=58

x=29

x=21

Step-by-step explanation:

x+x-8=50

2x=58

x=29

x=21

hope this helps have an amazing day :)