Assume that advanced students average 93% on an achievement test and regular students averaged 75%. If 100 advanced students and 300 regular students took the test, what would you expect the average to be? How many of each kind of student would be needed to get a group of 90 students who average 87% on the test? Please include work/explaination, I along with a few of my classmates are confused by this problem. We are in a chapter about systems of equations.

The rate of change represents the cost per lawn mowed. which is the correct answer would be an option (B).

It quantifies how much the function changed per unit on average throughout that time interval. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.

The graph is given in the question.

According to the given graph, we can see that the y-axis is labeled cost (dollars) and that the x-axis is labeled lawns mowed.

The rate of change of a graph is given by the y value divided by the x value.

As per this situation, the rate of change describes the cost per lawn mowed.

Therefore, the rate of change represents the cost per lawn mowed.

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Answer:  The correct option is (C) [tex]y=4x-13.[/tex]

Step-by-step explanation:  We are given to write a rule for the linear function given in the graph.

Since the graph is a straight line, so we are to find the equation of the line to find the rule.

From the graph, we note that

the points (3, -1) and (4, 3) lie on the straight line.

So, the slope of the line will be

[tex]m=\dfrac{3-(-1)}{4-3}\\\\\\\Rightarrow m=4.[/tex]

Since the line passes through the point (4, 3), so the equation of the line is given by

[tex]y-3=m(x-4)\\\\\Rightarrow y-3=4(x-4)\\\\\Rightarrow y=4x-16+3\\\\\Rightarrow y=4x-13.[/tex]

Thus, the required rule for the linear function is

[tex]y=4x-13.[/tex]

Option (C) is correct.

The width of the car on the scale drawing is 16 inches.

To find the width of the car on the scale drawing, we can set up a proportion using the scale of the drawing and the actual width of the car.

The scale of the drawing is 1 inch = 1/2 foot. The actual width of the car is 8 feet. So the proportion is: x/1 inch = 8/1/2 foot.

To solve for x, we multiply both sides of the proportion by 1 inch: x = 8/1/2 inch. Simplifying the right side of the equation, we get x = 16 inches. Therefore, the width of the car on the scale drawing is 16 inches.

The width of the car on the scale drawing is 16 inches.

To find the width on the scale drawing, we need to use the scale provided in the question. The scale is given as 1 inch = 1/2 foot. This means that for every inch on the drawing, it represents 1/2 foot of the actual object.

Given that the actual width of the car is 8 feet, we need to convert this measurement to inches using the scale factor. Since 1 foot is equal to 12 inches, 1/2 foot is equal to 6 inches (because 12 inches / 2 = 6 inches).

Now, we can set up a proportion to find the width on the scale drawing:

[tex]\[ \frac{1 \text{ inch}}{1/2 \text{ foot}} = \frac{\text{width on drawing}}{8 \text{ feet}} \][/tex]

To solve for the width on the drawing, we multiply both sides of the equation by 8 feet: [tex]\[ \text{width on drawing} = \frac{1 \text{ inch}}{1/2 \text{ foot}} \times 8 \text{ feet} \][/tex]

Since 8 feet is equal to 16 halves of a foot (because 8 * 2 = 16), we can simplify the equation:

[tex]\[ \text{width on drawing} = 1 \text{ inch} \times 16 \][/tex]

[tex]\[ \text{width on drawing} = 16 \text{ inches} \][/tex]

Therefore, the width of the car on the scale drawing is 16 inches.

Answer: 38 and there would be more likely 1 less kid in each group

Step-by-step explanation:

Answer: D) 52.5

Step-by-step explanation:

The equation for inverse variation between two quantities x and y is given by :-

[tex]k=yx[/tex], where k is the constant of variation, for this relationship. (1)

Given : Sarah studies indicate that there is an inverse relationship between TV time and GPA, and that a student who watched 15 hours of TV per week can be expected to have a GPA of 3.5.

Then from (1) the constant of variation is given by :-

[tex]k=15\times3.5=52.5[/tex]

Hence, the required answer is option D) 52.5 .

Final answer:

The constant of variation, k, for the inverse relationship between TV time and GPA, where 15 hours of TV results in a GPA of 3.5, is 52.5.

Explanation:

Sarah is researching the connection between the time students spend watching television and their performance in school, finding an inverse relationship between TV time and GPA. For a student who watched 15 hours of TV per week and has a GPA of 3.5, we can determine the constant of variation, k, in this inverse relationship.

The relationship can be represented as GPA = k / TV time. To find k, we plug in the known values: 3.5 = k / 15 hours. To solve for k, multiply both sides by 15: k = 3.5 × 15, which gives us k = 52.5.

Therefore, the constant of variation k for the inverse relationship between the time spent watching TV and GPA is 52.5.

To find the height of the tube with a given surface area and radius, use the formula for the surface area of a cylinder and solve for height.

The surface area of a cylinder (A) is given by the formula:

A = 2πrh + 2πr²

Given: A = 455.28 in², r = 4.2 in

Substitute the values and rearrange the formula to solve for h:

455.28 = 2π(4.2)h + 2π(4.2)²

Calculate the height, h, to find the answer.

The height of the tube is B. 50 inches.

75% of 20 peaches is 15 peaches. To find this, divide 15 by 0.75.

To find the total number of peaches represented by 75%, you can divide the known amount (15 peaches) by 0.75. This is because 75% can be written as the decimal 0.75.

Dividing 15 peaches by 0.75 gives us:

15 ÷ 0.75 = 20 peaches

So, 75% of 20 peaches is 15 peaches.

To find the total number of peaches where 75% of them is 15 peaches, a proportion is set up and solved to discover that the total is 20 peaches.

The question "21. 75% of ________ peaches is 15 peaches" is asking us to find the total number of peaches if 75% of that total is equivalent to 15 peaches. To solve this, we need to set up a proportion where 75% is to 15 peaches as 100% is to the total number of peaches. We represent the total number of peaches by the variable x.

Here is the proportion set up as an equation: 0.75 * x = 15. To find x, divide both sides of the equation by 0.75, which gives us x = 15 / 0.75. When we calculate this, we get x = 20. So, the total number of peaches is 20.

To check our work, we can confirm that 75% of 20 is indeed 15 by multiplying 20 by 0.75, which equals 15. Hence, the statement "21. 75% of 20 peaches is 15 peaches" is correct and answers the student's question.

The question, from the Physics subject for a High School grade level, involves calculating the equivalent resistance of three identical resistors in parallel. The equivalent resistance in this scenario is one third of a single resistor, represented as R/3.

The question is regarding the equivalent resistance when three resistors are used in comparison to a single resistor. In the context given, if it is three times easier for current to flow through three identical resistors (R) than through a single one, the equivalent resistance is R/3. This is because resistors in parallel share the current, and hence the total resistance is divided by the number of resistors in parallel, if they are identical.

For example, if the current through three resistors in parallel is I, each resistor carries a current of I/3, and if they are identical, that means each has a resistance R. Therefore, the total current I flows through a resistance R/3, which is one third of the resistance faced by the current in the case of a single resistor.

She can make 48 cups juice

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

[tex]\large{\boxed{\bold{ax=b}}[/tex]

or  

ax + b = c, where a, b, and c are constants, x is a variable  

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one  

Can be stated in the form:  

[tex]\large{\boxed{\bold{ax+bx=c}}}[/tex]

x, y = variable  

Let x = cups of concentrate

w = cups of water

If we translate this sentence into equation:

w = 5x .. equation 1

If we translate this sentence into equation:

w = 32+x .. equation 2

We can make a comparison from equation 1 and 2

[tex]\displaystyle \frac{water}{concentrate} =5[/tex]

[tex]\displaystyle \frac{32+x}{x} =5[/tex]

[tex]\displaystyle 32+x=5x[/tex]

[tex]\displaystyle 32=4x[/tex][tex]\large{\boxed{x=8\:cups}}[/tex]

so x = concentrate = 8 cups

then water :

[tex]\displaystyle water={5\times8}[/tex]

water = 40 cups

Total juice she can make :

= 40 + 8 cups

=  48 cups

the slope-intercept form of the linear equation  

brainly.com/question/1945934  

a graph of a linear equation  

brainly.com/question/1505806  

system of linear equations  

brainly.com/question/11544167  

Keywords : one variable, linear equation , juice, cups, concentrate, water

The answer to this question is 10267.

Answer:

Your correct answer is A. Without a table or graph, you might forget what an equation represents.

Step-by-step explanation:

Hope this helps :) -Mark Brainiest Please :)

Answer:

The monthly payment would be £450.

Step-by-step explanation:

Given formula for the cost of buying a car,

Cost = 12 × monthly payment + deposit,

Here,

Cost of the car = £ 8000,

Deposit = £ 2600,

By substituting the values,

8000 = 12 × monthly payment + 2600

⇒ 12 × monthly payment = 8000 - 2600

⇒ 12 × monthly payment = 5400

⇒ Monthly payment = [tex]\frac{5400}{12}[/tex] = £450