A) Jose and Anna are planning a Halloween Party. They are making goodie bags and have 30
Lollipops and 42 KitKat bars. If they want the same amount of candy in each goodie bag, what
the greatest number of goodie bags they can make?

B) How many lollipops and KitKat bars will be in each goodie bag?

C) Using the distributive property, factor the sun of terms 30 and 42 as a product of the GCF and a sum.

D) John and his two friends are buying tickets to the Halloween party. Each tickets cost $2.75. They paid with a $50.00 bill, what is their change?

Answer:

(-3, 13)

Step-by-step explanation:

Coordinate of A is (7,5)

4 units to the left means (7-4, 5) --> (3,5)

8 units up means (3, 5+8) --> (3,13)

Reflected across the y-axis means that the sign of whatever x coordinate you have now will be reversed.

So (-3,13)

Answer:

it 180 degrees

Step-by-step explanation:

The formula is -900° × π/180 = -15.71rad

When a point is rotated, it must be rotated over a line.

The coordinates of the image is (-13, 10)

The point is given as:

\((x,y) = (13,10)\)

The rule for reflection across the x-axis is:

\((x,y) \to (x,-y)\)

So, we have:

\((13,10) \to (13,-10)\)

Hence, the coordinates of the image is (-13, 10)

None of the options is correct

See attachment for the pre-image and the image

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Answer:

AB = 2

Step-by-step explanation:

the triangles are similar so that means there is a constant ratio for each side length. so comparing the ratios from the bigger triangle to the smaller triangle,  leaves us with 9/3 and 15/5. if you take those and divide them you get 3 for both of them which is the constant. so then in order to find the length of AB just take the side length of XY (6) and divide it by 3 (the constant ratio) and there you have your answer!

hope this helps.

Rhines criterion implies that there is a minimum length scale for baroclinic instability to take place, which is given by:

L = 2π/kx = 2π[(N² - f₂²)/(f₁² - f₂²)]¹/²

In a 2-layer channel with a flat bottom and infinite width in y, the dispersion relation for baroclinic instability is given by:

ω = kx[(f₁² - f₂²)/(N² - f₂²)]¹/²

Where ω is the frequency, kx is the wavenumber in the x-direction, f₁ and f₂ are the Coriolis parameters for the upper and lower layers, and N is the buoyancy frequency.

In the presence of rotation, the minimum length for baroclinic instability to take place is determined by the condition that the frequency ω must be positive. This means that:

(f₁² - f₂²)/(N² - f₂²) > 0

or equivalently:

f₁ > (N²f₂)¹/²

This condition implies that the Coriolis parameter in the upper layer must be greater than the square root of the product of the buoyancy frequency and the Coriolis parameter in the lower layer. This is known as the "Rhines criterion" and represents a necessary condition for the development of baroclinic instability in rotating fluids.

Furthermore, the Rhines criterion implies that there is a minimum length scale for baroclinic instability to take place, which is given by:

L = 2π/kx = 2π[(N² - f₂²)/(f₁² - f₂²)]¹/²

This length scale represents the typical size of the eddies that form due to baroclinic instability in rotating fluids, and is proportional to the inverse square root of the difference between the Coriolis parameters in the upper and lower layers.

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Answer:

-10

Step-by-step explanation:

expand: 3x-12>5x+2

subtract 3x and subtract 2 to both sides

-14>2x

which is just

2x<-14

so x<-7.

the only value is -10. :D

Answer:

-10

Step-by-step explanation:

3(x – 4) > 5x + 2

Distribute

3x -12 > 5x+2

Subtract 3x from each side

3x-12-3x > 5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12 -2 > 2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

X must be less than -7

-10 is less than -7

Calculate the unit rate for each of the following: To find the unit rate for 200 miles in 3 hours, divide 200 by 3. The unit rate is 66.67 miles per hour. To find the unit rate for 36 inches to 3 feet, divide 36 by 3. The unit rate is 12 inches per foot.

To find the unit rate for $21.50 for 4 gallons, divide $21.50 by 4. The unit rate is $5.38 per gallon. To find the unit rate for $2.08 for 6 ounces, divide $2.08 by 6. The unit rate is $0.35 per ounce. In the given statements: The statement "It has been sunny the past 6 Fridays. Tomorrow is Friday, so it will be sunny" is an example of inductive reasoning. The statement "If a polygon has three sides, then it is a triangle" is an example of deductive reasoning.

The result of the given calculations: Add six to twelve to get eighteen. Divide eighteen by four to get 4.5. Divide 4.5 by negative nine to get -0.5. Multiply -0.5 by twenty-four to get -12. The result is -12. To estimate the total cost of groceries: Round $6.47 to $6, $14.72 to $15, $7.99 to $8, $9.40 to $9, and $2.79 to $3. Add these rounded amounts: $6 + $15 + $8 + $9 + $3 = $41. The estimated total cost of groceries is $41. To determine the better buy between Mello Yello and Sprite:For Mello Yello, the price per can is $4.75 ÷ 20 = $0.2375.

For Sprite, the price per can is $9.50 ÷ 36 = $0.2639. Since $0.2375 is less than $0.2639, Mello Yello is the better buy.

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Answer:

1/18

Step-by-step explanation:

Step-by-step explanation:

To Find : Their present ages

Consider,

\(x + y = 46\\x = 46 -y\)

→ (x+4) : (y +4) = 7:2

→ x+4/y+4 = 7/2

→ 46-y+4/y+4 = 7/2

→ 50-y/y+4 = 7/2

→7y +28 = 100-2y

→ 7y +2y = 100 -28

→ 9y = 72

→ y = 8

Now put y = 8 in eq(1) .

→ x = 46 - y

→ x = 46 - 8

→ x = 38

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Answer:

7,750 ways

Step-by-step explanation:

To determine the number of ways that 2 people can be chosen to receive the free tickets, we need to use combinations because the order of the selection does not matter.

The number of ways to choose 2 people out of 125 can be calculated using the combination formula:

n C r = n! / (r! * (n-r)!)

where n is the total number of people, and r is the number of people we want to choose.

In this case, n = 125 and r = 2, so we have:

125 C 2 = 125! / (2! * (125-2)!)

= 125! / (2! * 123!)

= (125 * 124) / 2

= 7750

Therefore, there are 7,750 ways that 2 people can be chosen to receive the free tickets.

Answer:

Square root of 20 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

2^2 + 4^2 = c^2

4 + 16 = c^2

20 = c^2

Now lets find the square root if any :)

\(\sqrt{20}\) = no square root

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

im answering so you can give other guy brainliest :)

We cannot say with absolute certainty that the true relationship between the LHS and RHS variables is not influenced by other factors.

If we say that an estimate is statistically significant, it means that the difference or relationship observed between the left-hand side (LHS) variable and the right-hand side (RHS) variable is unlikely to have occurred by chance alone.

However, it does not necessarily mean that we are 100% certain of the true relationship between the LHS and RHS variables. There may still be other factors or variables that were not accounted for in the analysis that could affect the relationship between the two variables.

Therefore, we cannot say with absolute certainty that the true relationship between the LHS and RHS variables is not influenced by other factors.

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Answer:

2(3/8) + 4/8 + 5/8 + 7/8

= 6/8 + 4/8 + 5/8 + 7/8 = 22/8 = 2 6/8

B is correct.

Answer:

21484668

Step-by-step explanation:

The ratio of the number of tulips to the number of roses in Julia's garden is 5:4.Let's represent the number of roses as 'r' and the number of tulips as 't'.

According to the given information, one half of the number of roses is equal to two fifths of the number of tulips. Mathematically, this can be expressed as:

(1/2) * r = (2/5) * t

To find the ratio of the number of tulips to the number of roses, we divide both sides of the equation by 'r':

(1/2) = (2/5) * t / r

Now, we can simplify the equation:

(1/2) = (2/5) * (t/r)

To eliminate the fraction, we can multiply both sides of the equation by 2:

2 * (1/2) = 2 * (2/5) * (t/r)

1 = (4/5) * (t/r)

Finally, to isolate the ratio of tulips to roses, we divide both sides of the equation by (4/5):

1 / (4/5) = (4/5) * (t/r) / (4/5)

5/4 = (t/r)

Therefore, the ratio of the number of tulips to the number of roses in Julia's garden is 5:4.

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The value of the function  (f + g)(−8) (f + g)(−8) for f (x) = x + 3 and g (x) = x² - 2 is 3249.

We are given the functions:

f(x) = x + 3

g(x) = x² − 2

Now,

(f + g) (−8) × (f + g)(−8)

= [ (f + g) (−8) ]²

Substituting the values of the functions, we get that:

=(x + 3 + x² - 2)² ,   where x = -8

= ( -8 + 3 + 64 - 2 )²

= ( -5 + 62)²

= (57) ²

= 3249

So, the value of the function  (f + g)(−8) (f + g)(−8) for f (x) = x + 3 and g (x) = x² - 2 is 3249.

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Answer: 14

Step-by-step explanation:

Answer: 8,400

Step-by-step explanation:

In the algebra class, it takes 479,001,600 days for a seating arrangement to repeat. There are 362,880 seating arrangements with Larry, Moe, and Curly in the front seats. Set S has 16 subsets, including 14 proper subsets.

To determine how many days must pass before a seating arrangement is repeated in an algebra class with 12 students and 12 desks, we can use the concept of permutations.

Since each student can sit in any of the 12 desks, the total number of possible seating arrangements is 12 factorial (12!). Therefore, the class can have 12! = 479,001,600 different seating arrangements.

To find out how many seating arrangements put Larry, Moe, and Curly in the front seats, we consider them as a group and arrange them in the front row.

The remaining 9 students can be seated in the back row, so the number of seating arrangements with Larry, Moe, and Curly in the front seats is 9 factorial (9!).

Therefore, there are 9! = 362,880 seating arrangements that put Larry, Moe, and Curly in the front seats.

For the set S = {y | y ∈ N and 103 ≤ y < 119}, we need to find the number of elements in this set. The range is from 103 to 118 (since 119 is not included), and the set contains natural numbers.

Therefore, the number of elements in this set is 118 - 103 + 1 = 16.

The set S has 16 subsets. This includes the empty set and the set itself, which are always subsets of any set.

Additionally, there are subsets containing a single element, subsets containing two elements, subsets containing three elements, and so on, up to subsets containing all 16 elements.

However, since we need to find proper subsets (excluding the empty set and the set itself), the number of proper subsets of set S is 16 - 2 = 14.

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Answer:

24

Step-by-step explanation:

You have to distribute the parenthesis. 7 x 2 is 14 and 7 x 1 is 7.

Add those and you get 21.

21 + 3 = 24

Answer:

24

Step-by-step explanation:

7 (2 + 3) + 3

7 (3) + 3

21 + 3

24

hope this helps

The total number of radians swept out from the east side of the trail to the skier's current position as 3.4t - π/2.

To represent the number of radians that would need to be swept out from the east side of the ski trail to reach the skier's current position, we can use the expression 3.4t - π/2, where t represents the number of hours since the skier started skiing.

The skier starts at the northernmost point of the circular ski trail, which can be considered as the 12 o'clock position. We can imagine the east side of the ski trail as the 3 o'clock position. As the skier skis counterclockwise (CCW) along the trail, she sweeps out 3.4 radians per hour.

Since the skier starts at the northernmost point, she needs to cover an additional π/2 radians to reach the east side of the trail. This is because the angle between the northernmost point and the east side is π/2 radians.

Therefore, we can express the total number of radians swept out from the east side of the trail to the skier's current position as 3.4t - π/2. The term 3.4t represents the number of radians swept out by the skier in t hours, and subtracting π/2 accounts for the initial π/2 radians needed to reach the east side of the trail from the northernmost point.

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

Step-by-step explanation:

Boys Girls

84 50

%decrease %decrease

-25% -16%

84=100% 50=100%

75% 84%

75/100×84 84/100×50

=63 =42

84+50=134

63+42=105

134-105=29

134=100%

29

29/134×100

21.6%

Answer:  "How do u calculate the diameter of a circle"?

Step-by-step explanation:  Calculating diameter is easy you just need the radius, the circumference, or the area. Even if you don't have any of those dimensions, you can still find the diameter if you have a drawing of the circle.

(a) The probability that a student does not drink once a month= 0.40

(b) The probability corresponding to each outcome would depend on the           given relative  probability

(c) You can calculate the value of this expression to find the probability    that at least one person drinks once a month.

a. The probability that a student does not drink once a month can be calculated as 1 minus the probability that a student drinks once a month, which is given as P(D) = 0.60.

So, P(not D) = 1 - P(D) = 1 - 0.60 = 0.40.

b. If we randomly select 2 students at a time and record their drinking habits, the sample space corresponding to this experiment would consist of all possible combinations of drinking habits for the two students.

Since each student can either drink once a month (D) or not drink once a month (not D), there are four possible outcomes:

Both students drink once a month (D, D)

Both students do not drink once a month (not D, not D)

The first student drinks once a month and the second student does not (D, not D)

The first student does not drink once a month and the second student drinks once a month (not D, D)

The probability corresponding to each outcome would depend on the given relative frequency or probability of a student drinking once a month (P(D)) and the complement of that probability (1 - P(D)).

c. Assuming that 5 students are selected at random, the probability that at least one person drinks once a month can be calculated using the complement rule.

The complement of the event "at least one person drinks once a month" is "none of the 5 students drink once a month" or "all 5 students do not drink once a month".

The probability that one student does not drink once a month is P(not D) = 0.40 (as calculated in part a).

The probability that all 5 students do not drink once a month is \((P(not D))^5\), since the events are assumed to be independent.

So, the probability that at least one person drinks once a month is:

P(at least one person drinks once a month) = 1 - P(none of the 5 students drink once a month)

= 1 - \((P(not D))^5\)

= 1 - \((0.40)^5\) (after substituting the value of P(not D) from part a)

You can calculate the value of this expression to find the probability that at least one person drinks once a month.

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For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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Answer:

5

Step-by-step explanation:

use Pythagoras theorem

Answer:

5 units

Step-by-step explanation:

It says round to the nearest 10th so it cant be 5.1 or 4.99, and 25 is to big for that side, so 5 units

Answer: no

Step-by-step explanation:

We want to know what's the probability of spinning a number greater than two

There are 2 spinnings greater than two, of a total of 8. therefore, the probability I will be

The probability is 1/4

P.PENEEEEEEEE,TE GUSTAA∞\(\pi \sqrt{x} x^{2} \neq \alpha \sqrt[n]{x} \sqrt[n]{x}\)