How many numbers from 1 to 100 can be divided by 2 with none leftover.

Answer:

[tex]3y-24 is 3(y-8)[/tex]

Step-by-step explanation:

The expression 3y−24 factored using the GCF is

To find out GCF, we break the factors

3y -> 3  times y

24 -> 2 times 2 times 2 times 3

Here we have 3 in common .

From the factors we have common factor 3

So GCF that is Greatest common factor is 3

GCF of 3y-24 is 3

Take out 3 in common

[tex]3y-24 \ is \ 3(y-8)[/tex]

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.

By adding Jane's 5 candy canes to Max's 11 candy canes, we find that together they have 16 candy canes.

To find out how many candy canes Jane and Max have all together, we need to add the number of candy canes that each person has. Jane has 5 candy canes and Max has 11 candy canes. So, we will perform a simple addition: 5 (Jane's candy canes) + 11 (Max's candy canes).

The sum is:

5 + 11 = 16

Therefore, Jane and Max have 16 candy canes all together.

To find the total number of candy canes Jane and Max have all together, you simply need to add the numbers of candy canes they each have. Jane has 5 candy canes and Max has 11 candy canes. Adding these numbers together, 5 + 11 = 16.

Answer:

1.75 :)

Step-by-step explanation:

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:

[tex]7^{39}[/tex]

Step-by-step explanation:

We have been given that there are [tex](7^{13})^3\cdot 7^0[/tex] strawberries in a field.

Using exponent property [tex]a^0=1[/tex], we will get:

[tex](7^{13})^3\cdot 1[/tex]

[tex](7^{13})^3[/tex]

Using exponent property [tex](a^b)^c=a^{b*c}[/tex], we will get:

[tex]7^{13*3}[/tex]

[tex]7^{39}[/tex]

Therefore, the total number of strawberries in the field is [tex]7^{39}[/tex].

{(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!

Using a scale of 1:60, the actual length of a wall in the house, depicted as 5 inches on the blueprint, is 25 feet.

The correct option is c) 25 feet

To find the actual length of the wall in the house, we need to use the scale factor provided by the blueprint, which is 1:60. This means that 1 unit on the blueprint represents 60 units in reality.

Since the wall on the blueprint is 5 inches long, we can calculate the actual length of the wall by multiplying the length on the blueprint by the scale factor:

Actual length = Length on blueprint × Scale factor

              = 5 inches × 60

              = 300 inches

To convert inches to feet, we divide by 12 (since 12 inches = 1 foot):

Actual length (in feet) = [tex]\frac{300 inches}{12}[/tex]

                       = 25 feet

Therefore the correct answer is option C) 25 feet.

The question probable may be:

A blueprint of a house shows a wall that is 5 inches long. If the blueprint is drawn to a scale of 1:60, what is the actual length of the wall in the house?

A) 5/60 feet

B) 12 feet

C)  25 feet

D)  36 feet          

The second worker produced 40 parts and the first worker produced 46 parts.

To solve this problem, we can set up a system of equations. Let x represent the number of parts produced by the second worker. Since the first worker produced 15% more parts, the number of parts produced by the first worker can be represented as 1.15x. The total number of parts produced by both workers is 86, so we can set up the equation:

x + 1.15x = 86

Combining like terms, we get 2.15x = 86. Divide both sides of the equation by 2.15 to find x:

x = 40

Substituting this value back into the equation, we find that the second worker produced 40 parts. The first worker produced 15% more, so they produced 40 + 0.15(40) = 46 parts.

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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