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Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.

Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.

Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.

The mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To find the mean absolute deviation (MAD)

We have to find the mean (average) of the data set.

The mean is given by mean = (3 + 8 + 10 + 12 + 15) / 5

= 48 / 5

Mean= 9.6

Calculate the absolute deviation of each data point from the mean.

The absolute deviation of each data point from the mean is given by:

|3 - 9.6| = 6.6

|8 - 9.6| = 1.6

|10 - 9.6| = 0.4

|12 - 9.6| = 2.4

|15 - 9.6| = 5.4

The mean of the absolute deviations is given by:

MAD = (6.6 + 1.6 + 0.4 + 2.4 + 5.4) / 5

= 2.4

Therefore, the mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.

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Final answer:

Using the formula for the distance fallen under gravity, the height of the building is found to be approximately 70.856 meters, given a drop time of 3.8 seconds.

Explanation:

The question asks, "What is the height of a building in meters if it takes a rock 3.8 seconds to drop from its roof?" To solve this, we'll use the physics formula for the distance (height) fallen by an object under gravity, which is given by d = ½ gt², where d is the distance in meters, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is the time in seconds.

Substituting the given values into the equation, we have:

d = ½ × 9.8 m/s² × (3.8 s)²

= ½ × 9.8 × 14.44

= 70.856 meters

Therefore, the height of the building is approximately 70.856 meters.

Jamaal spent x minutes on guitar and y minutes on homework, and the inequality representing his total practice time is x + y ≥ 45.

The student, Jamaal, spent x minutes practicing his guitar and y minutes on homework. The fact that he spent 45 minutes or more on both activities combined is represented by the inequality x + y ≥ 45. This inequality states that the sum of the time spent practicing guitar and the time spent on homework is equal to or greater than 45 minutes. To solve this inequality, you would ensure that when you add the minutes spent on each activity, the total does not fall short of 45 minutes, which is the minimum amount of time Jamaal has to spend on these activities.

The inequality representing Jamaal's total practice and homework time is x + y ≥ 45, meaning the total time spent on both activities is at least 45 minutes.

Jamaal spent x minutes today practicing guitar and y minutes on homework. If the total time he spent on both activities is at least 45 minutes, the inequality that best represents his practice time is x + y ≥ 45. This inequality indicates that when you add the minutes Jamaal spent practicing guitar and doing homework, the sum should be equal to or greater than 45 minutes.

There are 5 sides (a pentagon). The perimeter is the length of one side times the number of sides.

The polygon has 5 sides. The specific type of polygon with 5 sides is called a pentagon.

The perimeter of a polygon is the total length of all its sides. In a regular polygon, all sides are equal in length. So, if each side of the polygon is 2.5 cm and the perimeter is 12.5 cm, we can find the number of sides by dividing the perimeter by the side length:

Number of sides = Perimeter / Side length

Number of sides = 12.5 cm / 2.5 cm

Number of sides = 5

Option: C is the correct answer:

                   C. 2:3

The odds in favor of an outcome is the ratio of number of ways the outcome could occur to the number of ways it could not occur.

Here we are asked to find the  odds in favor of drawing a green marble.

Hence, it is the ratio of the number of ways the green marble will come up to the number of ways it could not come up.

The probability of drawing a green marble from a marble bag is 40%.

This means that the probability of not drawing a green marble from the bag is: 60%

( since, 100-40=60)

Hence, the odds in favor is: 40:60

i.e.

4:6=2:3

Answer:

[tex] a_{n} = - 5 {( - 2)}^{n - 1} [/tex]

[tex]b = - 5[/tex]

[tex]c = - 2[/tex]

By converting mixed numbers to decimals and multiplying the total number of cups of flour by the cost per cup, we find out Maria will spend $3.80 on flour, which is option C.

To find out how much Maria will spend on flour to make her cookies, we need to calculate the total cost of white and whole wheat flour. Maria needs 3 1/10 cups of white flour and 4 1/2 cups of whole wheat flour. First, we convert the mixed numbers to decimal form: 3 1/10 cups is 3.1 cups, and 4 1/2 cups is 4.5 cups. Then we add them together to find the total number of cups Maria will use:

3.1 cups + 4.5 cups = 7.6 cups

Next, since flour costs $0.50 per cup, we multiply the total number of cups by the cost per cup:

7.6 cups × $0.50 per cup = $3.80

Therefore, Maria will spend a total of $3.80 on flour for her cookie recipe, making the correct answer C. $3.80.

The measure of center that best represents the daily average of customers at the coffee shop is the mean, which is calculated by summing up all the numbers and dividing by the total count.

To find the measure of center that best represents the daily average of customers at the coffee shop, we can calculate the mean, median, and mode of the given data set. The mean is the sum of all the numbers divided by the total count, the median is the middle value when the numbers are arranged in increasing order, and the mode is the number that appears most frequently.

Mean: Add up all the numbers and divide by the total count: (135+124+140+122+409+132+119+128+136+125)/10 = 157.

Based on these calculations, we can conclude that the measure of center that best represents the daily average of customers at the coffee shop is the mean since it takes into account all the values in the data set.

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Answer:

Step-by-step explanation:

Alright, lets get started.

The surface area of green solid is :

[tex]2 (3*3 + 3*3 + 3*3) = 2*27=54[/tex]

The surface area of orange solid is :

[tex]2(5*5 + 5*5 + 5*5) =2*75= 150[/tex]

So the ratios of their surface area will be :

[tex]\frac{54}{150}[/tex]

[tex]\frac{18}{50}[/tex]

[tex]\frac{9}{25}[/tex]

Hence the answer is 9:25   :  Answer Hope it will help :)

it would be C. Y=4X

Answer:

You will need approximately 1.17 L of water with 3.5 L of glue.  This is a total of 4.67 L, which is NOT enough.

Step-by-step explanation:

Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.

A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.

Now it is given that,

Ratio of glue and water = 3 : 1

Amount of mixture = 5 litres

Georgie has glue = 3.5 litres

Now let x be the number,

So, Amount of glue in the mixture = 3x

and, amount of water in the mixture = x

⇒ Amount of mixture = 3x + x

⇒ 3x + x = 5

⇒ 4x = 5

⇒ x = 5/4

⇒ x = 1.25

Thus, Amount of glue in the mixture = 3*1.25 litres

⇒ Amount of glue in the mixture = 3.75 litres

So, Amount of glue in the mixture is greater than amount of glue Georgie has.

Thus, Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.

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Answer:

As per the given statement: A forest ranger wants to determine the radius of the trunk of a tree. She measures the circumference to be 8.6 feet.

Shape of the trunk of a tree is circle.

Use the circumference formula:

[tex]C = 2\pi r[/tex]

where C is the circumference of a circle and r is the radius of a circle.

Solve for r;

Given: C = 8.6 feet and use [tex]\pi = 3.14[/tex]

Substitute the given value we get;

[tex]8.6 = 2 \times 3.14 \times r[/tex]

Simplify:

[tex]8.6 = 6.28r[/tex]

Divide both sides by 6.28 we get;

r = 1.6942675 feet

Therefore, the trunk's radius to the nearest tenth foot is, 1.4 ft

Answer:1.4

Step-by-step explanation:

that is it its not that hard

To repeat the pattern, the angle of x needs to be 360 degrees divided by the number of times the pattern is repeated.

To repeat the pattern of the border around the top of the walls in your room, the angle of x needs to be 360 degrees divided by the number of times the pattern is repeated. For example, if the pattern is repeated 4 times around the room, the angle x would be 360 degrees divided by 4, which is 90 degrees.

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Answer:

The equation of the ellipse is :

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]

Step-by-step explanation:

Formula for the equation of an ellipse is given by :

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

where a and b are the horizontal and vertical intercepts of the ellipse on the coordinate axis.

Here, a = 959 + 357

             = 1316

And, b = 959 + 710

           = 1669

So, the equation of the ellipse is :

[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]