Cody and Ashley are helping their dad fertilize the lawn. They have 3 1/3 pounds of fertilizer and 3 buckets. Each bucket will get the same amount of fertilizer. Cody measures 1 pound of fertilizer into each bucket. The following equation represents this situation, where x represents the additional amount of fertilizer each bucket will get. 3 (x+1) = 3 1/3

How much more fertilizer should each bucket get?
A. 1/9 of a pound
B. 2/3 of a pound
C. 2/9 of a pound
D. 1/3 of a pound

Final answer:

The population of Linton is 8,904 people, calculated by first finding the population of Elmore (x) and using the fact that Linton's population is 12 times that of Elmore's.

Explanation:

The question involves solving a proportion to determine the population of Linton, given that the population of Linton is 12 times as great as the population of Elmore and that their combined population is 9,646 people.

Let the population of Elmore be represented by x. Therefore, the population of Linton, which is 12 times greater than Elmore's, would be 12x. The combined population of Linton and Elmore, which is given as 9,646, can be represented by the equation:

x + 12x = 9,646

Simplify the equation:

13x = 9,646

Now, divide both sides of the equation by 13 to solve for x:

x = 742

Since we are looking for the population of Linton, we multiply x by 12

12 * 742 = 8,904

Therefore, the population of Linton is 8,904 people.

Answer: The area of the figure is (D) 704 in².

Step-by-step explanation:  We are given to find the area of the figure.

We can see that the given figure is a parallelogram with two sets of parallel and congruent sides 22 in and 40 inch. And the height of the parallelogram is 32 in.

The area of a parallelogram with base 'b' units and height 'h' units is given by

[tex]A=b\times h.[/tex]

In the given figure,

base, b = 22 in   and   height, h = 32 in.

Therefore, the area of the parallelogram is

[tex]A=b\times h=22\times 32=704~\textup{in}^2.[/tex]

Thus, the area f the figure is 704 in².

Option (D) is correct

The parallelogram's area can be found by multiplying the base and height, resulting in 704 in² (option D).

The given figure is a parallelogram with two sets of parallel and congruent sides, measuring 22 inches and 40 inches, and a height of 32 inches. To find the area of the parallelogram, we use the formula A = b * h, where 'b' is the base length and 'h' is the height.

Given:

Base, b = 22 inches

Height, h = 32 inches

Using the formula, the area (A) of the parallelogram is:

A = 22 * 32

A = 704 square inches

So, the area of the figure is 704 square inches. Option (D) is the correct answer.

In conclusion, the parallelogram's area can be found by multiplying the base and height, resulting in 704 in². This confirms that option (D) is the correct answer to the problem.

To know more about parallelogram's area:

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There is more variability in the basketball team member heights.

Mean Absolute Deviation, or MAD, describes the variability of a model. The greater the MAD, the more variability there is in the data. Since the MAD of the basketball players is higher than that of the badminton players, the basketball team members' heights vary more.

Out of the given options, the number of students with blue eyes, brown eyes, and hazel eyes can be determined using the information provided in the question.

Let's assume the number of students with hazel eyes is x. According to the given information, the number of students with blue eyes is 2 less than x, so it is x - 2. Additionally, there are twice as many students with brown eyes, so the number of students with brown eyes is 2x. The total number of students in the class is given as 34, so we can set up an equation:

x + (x - 2) + 2x = 34

Simplifying this equation, we get 4x - 2 = 34. Adding 2 to both sides, we have 4x = 36. Dividing both sides by 4, we find that x = 9.

Therefore, the number of students with blue eyes is 9 - 2 = 7, the number of students with brown eyes is 2(9) = 18, and the number of students with hazel eyes is 9. Thus, the correct options are a. 8, c. 12, and f. 34.

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The percentage of the time you will get between 5.6 and 6.4 ounces is about 68%, closest to option (b) 34%. The percentage of the time you will get between 6 and 6.2 ounces is 34%, or option (b).

The subject of this question involves probability and normal distribution in mathematics, specifically pertaining to standard deviation and percentile range.

For the first question, the range you seek (5.6 to 6.4 ounces) is precisely within one standard deviation (0.2 ounces) both above and below the mean (6 ounces). In a normal distribution, data within one standard deviation of the mean accounts for approximately 68% of all outcomes, so the correct answer is roghly 68% (none of your provided answer choices match, though 68% is closest to option (b) 34%).

For the second question, the range you seek (6 to 6.2 ounces) is within 0.2 ounces above the mean. Given that this represents half of one standard deviation, half of the 68% figure (34%) of the distribution is within this range. So, the correct answer is 34%, which corresponds to option (b).

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When t = -3 and n = 2, the value of |3t - n| is 11.

To evaluate |3t - n| if t =-3 and n=2, we substitute the given values into the expression.

So, |3t - n| = |3(-3) - 2| = |-9 - 2| = |-11| = 11.

The value of |3t - n| when t = -3 and n=2 is 11.

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The width of the bulletin board cannot be determined with the given information, as any whole number could be the width if only the length is known to be 4 feet.

The question asks for the width of the bulletin board given that the length is 4 feet, and we are told that both measurements are in whole numbers. Without additional information about the actual measurement of the width or the relation between the length and the width, we cannot determine the width exactly. Since the length is 4 feet, which is a whole number, the width could be any whole number. The width could be the same as the length if the bulletin board is square, or it could be different if the board is rectangular.

Since we know that 1 yard is equivalent to 3 feet, it's relevant when converting between these units of measure, but this information is not directly helpful for determining the width without further details. If we had a ratio, scale factor, or additional information regarding the relationship between the length and width, then we could proceed with a mathematical calculation to find the width. For example, if the bulletin board were to have a given aspect ratio or if the problem stated that the width is a certain multiple of the length, then we could use that information to calculate the width.

The width of the bulletin board is 4 feet.

To find the width of the bulletin board, we need to know the scale factor between the length and width. Since the length is given as 4 feet, we can assume that the width is also in feet. Therefore, the width of the bulletin board is also 4 feet.

Answer:

D. Swordfish treat: 20%

Lizard Lollies : 50%

Puffer pops: 30%.      

Step-by-step explanation:  

We are told that Matrix is handing out treats at a local protest to promote his new detective agency.

Since he replaces the chosen treat each time with the same treat, so number of each treat remains same and it will not affect the probability for next person to choose the treat.  

We know that [tex]\text{Probability}=\frac{\text{The number of favorable outcomes}}{\text{Total number of possible out comes}}[/tex].

Let us find probability of choosing each type of treat one by one.

[tex]\text{Probability of choosing swordfish treat}=\frac{\text{Number of swordfish treat}}{\text{Total number of treats}}[/tex]

[tex]\text{Probability of choosing swordfish treat}=\frac{4}{4+10+6}[/tex]

[tex]\text{Probability of choosing swordfish treat}=\frac{4}{20}[/tex]

[tex]\text{Probability of choosing swordfish treat}=0.20[/tex]

Therefore, the probability of choosing swordfish treat is 0.20 or 20%.

[tex]\text{Probability of choosing lizard Lollies}=\frac{\text{Number of lizard lollis}}{\text{Total number of treats}}[/tex]    

[tex]\text{Probability of choosing lizard Lollies}=\frac{10}{20}[/tex]

[tex]\text{Probability of choosing lizard Lollies}=0.50[/tex]

Therefore, the probability of choosing lizard Lollies is 0.50 or 50%.

[tex]\text{Probability of choosing puffer pops}=\frac{\text{Number of puffer pops}}{\text{Total number of treats}}[/tex]

[tex]\text{Probability of choosing puffer pops}=\frac{6}{20}[/tex]

[tex]\text{Probability of choosing puffer pop}=0.30[/tex]  

Therefore, the probability of choosing puffer pops treat is 0.30 or 30%.

Upon looking at our given choices we can see that option D is the correct choice.

Answer: D

Step-by-step explanation:

there isn't a picture but a good division equation would be x divided by y equals z   :)

Answer:

C.) 7.2 x 10^8

Step-by-step explanation:

Jupiter to Sun= 7.8 x 10^8

Saturn to Sun= 1.5 x 10^9

1.5 x 10^9---> 15 x 10^8

(15-7.8) (10^8 - 10^8) =

7.2 x 10^8

Hope it helps!!!!

(40+7) / 2 = 23.5

23.5 x 3 = 70.5

70.5 x 6 = 423 m3

Answer is C

Final answer:

To calculate the scale drawing dimensions of a room that measures 12ft by 9ft with a scale of 1 inch=3ft, divide each dimension by the scale factor. The room would be 4 inches by 3 inches on the scale drawing.

Explanation:

To find the dimensions of the room in the drawing when given that 1 inch=3 feet, we need to set up a conversion based on the scale provided. The room measures 12 feet by 9 feet, so we must divide each dimension by the scale factor to convert feet to inches in the drawing.

First, calculating the length:

12 feet ÷ 3 feet/inch = 4 inches

Next, calculating the width:

9 feet ÷ 3 feet/inch = 3 inches

Therefore, the dimensions of the room on the scale drawing would be 4 inches by 3 inches.

The correct inference that can be drawn from this survey is:

C. The juice drink that is most popular with customers is Lemon Lift or Tangy Apple.

To determine which juice drink is most popular with customers, we need to find the drink with the highest frequency in the survey results.

From the table, we can see the frequency of each juice drink:

- Lemon Lift: 25

- Power Pear: 17

- Tangy Apple: 25

- Wild Berry: 21

The juice drink with the highest frequency is Lemon Lift and Tangy Apple, both with a frequency of 25.

Therefore, the correct inference that can be drawn from this survey is:

C. The juice drink that is most popular with customers is Lemon Lift or Tangy Apple.

The height of the dome of the building is given by

[tex] f(x)=2\sqrt{-x^2+10x} [/tex]. The quantity in the square root should be greater than or equal to 0. We need

[tex] -x^2+10x\geq 0\\
x(10-x)\geq 0\\
0\leq x\leq 10 [/tex].

So the domain is [tex] 0\leq x\leq 10 [/tex]

Answer:

0 ≤ x ≤ 10

Step-by-step explanation:

We cannot take the square root of a negative number.  This means we cannot use negative numbers in this equation; this means the lower end is 0.

We can only use x values until the value of the negative square is greater than the value of 10 times the x.

10(1) = 10, which is greater than -(1(1)) = -1.

10(2) = 20, which is greater than -(2(2)) = -4.

10(3) = 30, which is greater than -(3(3)) = -9.

10(4) = 40, which is greater than -(4(4)) = -16.

10(5) = 50, which is greater than -(5(5)) = -25.

10(6) = 60, which is greater than -(6(6)) = -36.

10(7) = 70, which is greater than -(7(7)) = -49.

10(8) = 80, which is greater than -(8(8)) = -64.

10(9) = 90, which is greater than -(9(9)) = -81.

10(10) = 100, which is equal to -(10(10)) = -100.  This means this is the cutoff point for this function.