The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $17,000.00, how much was the car worth when she bought it?
A.
$20,000.00
B.
$18,700.00
C.
$18,888.89
D.
$17,894.74

Jack should dig a hole approximately 9.69 feet deep for a tree that is 17 feet high.

Jack needs to dig a hole for a tree that is 17 feet high, based on a requirement that the hole depth should be 3.25 feet for every 5.7 feet of tree height. To calculate the depth of the hole Jack should dig, we will set up a proportion where the depth of the hole is directly proportional to the tree height.

The proportion is as follows: 3.25 feet depth/5.7 feet height = x feet depth/17 feet height. To solve for x (the depth of the hole for a 17-foot tree), we cross-multiply and divide:

(3.25 feet depth * 17 feet height) / 5.7 feet height = x feet depth.

By calculating this, we get:

x = (3.25 * 17) / 5.7 = 55.25 / 5.7 = 9.69 feet.

The experimental probabilities that the next person liked the movie is approximately 0.76 or 76%, and that the next person didn't like the movie is approximately 0.24 or 24%.

The question is about the concept of experimental probability in mathematics. In your case, the experimental probability is the ratio of the number of favorable outcomes to the total number of outcomes.

Firstly, out of 130 people, 99 said they liked the movie. Therefore, the experimental probability that the next person liked the movie is the number of favorable outcomes (people who liked the movie) divided by the total outcomes (total people surveyed), which is 99/130 or approximately 0.76.

Next, the people who didn't like the movie are 130 (total surveyed) minus 99 (liked the movie), which gives 31 people. Therefore, the experimental probability that the next person didn't like the movie is 31/130 or approximately 0.24.

These probabilities can also be expressed as percentages by multiplying by 100, resulting in approximately 76% and 24%, respectively.

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Answer:

in tank A, we need 1 gram of food per fish.

In tank B, we need 2 gramms of food per fish.

If Na is the number of fish in tank A and Nb is the number of fish in tank B.

Then, the amount of food that the tank A needs is:

Na*1g of food

The tank B needs:

Nb*2g of food

And we know that Nb = 2/3*Na

we can replace it and get:

2/3*Na*2g

Then if both tanks need the same amount of food, we should have that both of these equations are equal:

food of tank A = food of tank B

Na*1g = (2/3)*Na*2g

we solve this for Na

Na = (2/3)*Na*2g/1g = (2/3)*Na*2 = (4/3)*Na

Na = (4/3)*Na

This equation has no solution, and from here we can conclude that if Nb = 2/3*Na, she will never give the same amount of food to both tanks.

b) knowing that the amount of food neded in tank A is half the amount for tank B, then we need the doulbe of fish in the tank A than in the tank B

Na = 2*Nb

Lisa cannot feed both tanks the same amount of food under the given conditions. If Tank A has 'a' smaller fish and Tank B has 2/3 of the number of fish in Tank A, then Tank A would require 'a' grams of food while Tank B would require 4/3 'a' grams, which are not the same.

The student is asking whether Lisa can ever feed the same amount of food to both Tank A and Tank B, given that the larger fish in Tank B eat 2 grams of food per day and there are 2/3 the number of fish in Tank B compared to Tank A, which contains smaller fish that eat 1 gram of food per day. To determine if there is a scenario where Lisa can feed both tanks the same amount of food, we will need to set up an algebraic equation.

Step-by-step calculation:

Therefore, Lisa can never feed both tanks the same amount of food unless one of the conditions changes, like the amount of food fed to the fish or the ratio of fish between the tanks.

Final answer:

The provided question involves solving a system of linear equations using the elimination method, a topic in high school mathematics. The step-by-step demonstration uses elimination to find the solution for x and y.

Explanation:

The question involves solving a system of linear equations, which is a topic covered in high school mathematics. To solve the system:

2x + 9y = 27

x - 3y = -24

We can use the method of elimination or substitution. However, in this demonstration, we will apply elimination to find the solution for x and y.

For example, to use elimination, we can multiply the second equation by 3 to get equations with the same coefficient for y:

3(x - 3y) = 3(-24)

which simplifies to:

3x - 9y = -72

Then we subtract this new equation from the first equation:

(2x + 9y) - (3x - 9y) = 27 - (-72)

This process simplifies to x = 3. After finding the value of x, substitute it back into one of the original equations to find the value of y, completing the solution for the simultaneous equations.

Answer:

30 / 5 = 6$ (cost for 1 ticket)

6 x 7 = 42$ (cost for 7 tickets)

To find the cost for 7 amusement park tickets, divide the original cost by the number of tickets to find the price per ticket ($6) and then multiply by 7 to get the total cost ($42).

The student asks how much it would cost to buy 7 amusement park tickets if 5 tickets cost $30. This is a proportional relationship problem, where the cost of tickets is directly proportional to the number of tickets purchased. To find the cost for 7 tickets, we first determine the cost of 1 ticket by dividing the total cost by the number of tickets (30 divided by 5 equals 6). Since each ticket costs $6, we then multiply this by 7 to find the total cost for 7 tickets (6 times 7 equals 42). Thus, Barbara would pay $42 for 7 tickets.

The dimensions of the rectangular flower bed will be equal to 6 feet and 4 feet. Hence, option B is correct.

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any geometric two-dimensional shape. The circumference of several figures could be comparable based on the measurements.

As per the given information, the question,

Perimeter of flower bed = 20 feet

Width, w = 2/3l

Use the formula of perimeter of rectangle,

P = 2(l + w)           (i)

20 = 2 (l + 2/3l)

20 = 2(3l + 2l)/3

10l = 60

l = 6 feet

Put l = 6 feet in equation (i)

20 = 2(6 + w)

20 = 12 + 2w

w = 4 feet.

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Answer:

7.4052 x 10^8  

Step-by-step explanation:

{(3, 2), (6, 4), (9, 6), (12, 8)}   is a function

{(2, 3), (2, 5), (3, 6), (9, 4)}    is not a function

{(2, 4), (6, 3), (4, 8), (6, 6)}    is not a function

{(3, 4), (5, 2), (6, 8), (6, 4)}    is not a function

To test if a relation is a function from a set of ordered pairs, you just need to check if each element of the domain is paired with exactly one element of the range. Remember that the domain is all the x-values (first points of each ordered pairs) and the range is all the y-values (second points of each ordered pairs).

Let's test each one of our relations:

{(3, 2), (6, 4), (9, 6), (12, 8)} each element of the domain is paired with exactly one element of the range, so this one is a function.

{(2, 3), (2, 5), (3, 6), (9, 4)}  2 in the domain is paired with both 3 and 5 in the range, so this one is not a function.

{(2, 4), (6, 3), (4, 8), (6, 6)}  6 is paired with both 3 and 6, so this one is not a function either.

{(3, 4), (5, 2), (6, 8), (6, 4)}  6 is paired with both 8 and 4, so this one is not a function either.

Answer:

Hey man! This is the answer for anyone if they come across this problem! Hopefully it helps!