Lauren would like to have an average of 88 in her math class. There are five assignments with the following grades: 85, 100, 88, 80, 95. What grade will lauren need to make on the last assignment to meet her goal

Option B is correct. The required for the linear model in the scatter plot is y = 1.5x + 6

The standard formula of expressing the equation of a line is;

y = mx + b where;

m is the slope

b is the y-intercept

Using the coordinate points (20,36) and (4, 12)

Get the slope:

[tex]Slope = \frac{12-36}{4-20}\\Slope = \frac{-24}{-16}\\Slope=\frac{3}2}=1.5[/tex]

The point where the line meets the y-axis is the t intercept. From the graph, the y-intercept is b = 6

Get the required equation:

[tex]y=mx+b\\y=1.5x + 6[/tex]

Hence the required for the linear model in the scatter plot is y = 1.5x + 6

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Ian could have his website on site B for less than 10 months for it to be cheaper than hosting on site A.

To solve this question, we need to find when the costs between site a and site b equal each other. Since site a charges $4.95 per month plus a $49.99 startup fee, the cost of site a can be modelled by the equation: 4.95x + 49.99. Site b charges $9.95 per month with no startup fee, so its cost can be modelled by the equation 9.95x. We can now set up the inequality as follows:

4.95x + 49.99 > 9.95x

To solve for x, we will subtract 4.95x from both sides of the inequality, getting 49.99 > 5x. Finally, we divide each side by 5 to solve for x, resulting in x < 10. So Ian could have his website on site b for less than 10 months and still keep his total cost less than site a.

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-18 +x = 11

rewrite as x-18 =11

x = 11+18 = 29

Answer:

x-18=11

step by step explanation

The distance from your house to your grandparents house is 3.67 miles or 19377.6 ft.

So the total number of strides needed would be:

strides needed = 19377.6 ft / (2.6 ft / stride)

strides needed = 7,452.92 = 7,453 strides

The answer is (C.) It ignores parts of the method within an investigation.

Pseudoscience is a proposition, a finding, or a system of explanation that is presented as science but that lacks the rigor essential to the scientific method. Pseudoscience can also be the result of research that is based on faulty premises, a flawed experimental design, or bad data.

Among the most notable developments in the history of pseudoscience in the 19th century is the rise of Spiritualism (traced in America to 1848), homeopathy (first formulated in 1796), and phrenology (developed around 1800).

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Final answer:

To find the price per dozen, divide the sale price of $2.55 by 4 to get the price per muffin, then multiply by 12. The price per dozen muffins is $7.65.

Explanation:

To calculate the price per dozen muffins at the bakery when the sale price is $2.55 for 4 muffins, you first need to determine the price of one muffin. You can do this by dividing the sale price by the number of muffins in the offer:

$2.55 ÷ 4 = $0.6375 per muffin.

Next, because a dozen consists of 12 items, you would find the price per dozen by multiplying the price per muffin by 12:

$0.6375 × 12 = $7.65

Therefore, the price per dozen muffins is $7.65.

David can cycle [tex]\( \frac{xy}{15} \)[/tex] kilometers in 12y minutes if he maintains the same average speed.

To find out how far David can cycle in 12y minutes, we first need to convert the time from minutes to hours, since David's speed is given in kilometers per hour.

Since there are 60 minutes in an hour, we can convert 12y minutes to hours by dividing by 60:

[tex]\[ \text{12y minutes} = \frac{12y}{60} = \frac{y}{5} \text{ hours} \][/tex]

Now, we know that David cycles x kilometers in 3 hours, so we can find his average speed:

[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} \]\[ \text{Average speed} = \frac{x \text{ km}}{3 \text{ hours}} \][/tex]

Now, using the average speed, we can find the distance David can cycle in [tex]\( \frac{y}{5} \)[/tex] hours:

[tex]\[ \text{Distance} = \text{Average speed} \times \text{Time} \]\[ \text{Distance} = \left( \frac{x}{3} \right) \times \left( \frac{y}{5} \right) \]\[ \text{Distance} = \frac{xy}{15} \][/tex]

Answer:

The system of the equations is: j+s=63 and j-s=33

The Jackets price is j=48

The slacks prices is s=15

Step-by-step explanation:

You know for the problem that:

j+s=65

And

j= s+33; from this equation you get j-s=33

Then you replace j "j=s+33" in the first equation:

(s+33)+s=63

2s+33=63

2s=63-33

s=(63-33)/2

s=15

and you know that: j=s+33

Then, j=15+33=48

and j+s=63

48+15=63

The domain of a radical function is the set of all x for which the radicand is positive.

The statement in the question is almost correct. The domain of a radical function is the set of all x for which the radicand is non-negative, not just positive.

A radical function is defined as a function that contains a radical expression, which is the square root or any higher-order root of a variable or expression. The domain of a radical function is the set of all values of x that make the radicand, which is the expression inside the radical, positive.

For example, let's consider the function f(x) = √(x+3). The radicand x+3 can only be positive for values of x greater than -3. Therefore, the domain of this function is (-3, ∞).

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Area of rectangle = length x width

Perimeter of rectangle = 2 x (length + width)

Now we know that perimeter of rectangle = 16

2(length + width) = 16

Length + width = 16/2

Length + width = 8

Now the value of length and width is that if we add both values we have the answer 8.

So, here are some possible values of length and width and also that length and width are odd numbers;

Odd numbers are = 1,3,5,7,….

7 + 1 = 8

5 + 3 = 8

So, either length is 7 and with is 1 or length is 5 and width is 3

So area of rectangle = 7 x 1 = 7 or 5 x 3 = 15

Thus, the possible values of area of rectangle are 7 ft² and 15 ft².