John made 2 quarts of juice for a school party. How many cups of juice did John make?

The answer to 3 ÷ 1/3 is 1, so being honest with you I'm not 100% sure if you are right or not, but personally I would do C

I am so so so so sorry if I am wrong!!!

have a luvly day

tan A= \(\frac{10}{\sqrt{96} }\)

tan A= \(\frac{5\sqrt{6} }{12}\)

======================================================

Explanation:

18 people get off, and 21 get on

We can write the 18 as -18 to indicate a loss of 18 people. The 21 as +21 to mean we gained 21 people.

The net change is -18+21 = +3 or simply 3.

After the first stop, 3 more people are on the train compared to before reaching this stop.

If x is the number of people before the stop, then x+3 is the number of people after the stop. Set this equal to 65 and solve for x.

x+3 = 65

x = 65-3

x = 62 people were on the train to begin with.

-----------

Check:

62 people to start off

62-18 = 44 people after the 18 people get off

44+21 = 65 people after the 21 new people get on

The answer is confirmed.

D) 18 < X < 27

Because the length of the third side has to lesser that the sum of the other two sides

Answer:

I think that a option is correct

"A.9 <x<18"

Step-by-step explanation:

HOPE IT HELPS YOU:)

Convert 124 7/8 to 999/8

In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)

The standard deviation of the sampling distribution of the sample mean is 0.02.

The standard deviation of the sampling distribution of the sample mean can be calculated using the formula:

σ/√n

Where σ is the population standard deviation and n is the sample size.

In this case, the population standard deviation (σ) is 0.2 and the sample size (n) is 100. Substituting these values in the formula gives:

0.2/√100

Simplifying, we get:

0.2/10 = 0.02

This means that if we were to take multiple random samples of size 100 from the population, the mean of each sample would vary around the population mean of 3.2, with a standard deviation of 0.02.

This is because the standard deviation of the sampling distribution represents the amount of variation in sample means around the population mean.

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To find out how many blocks and pavers should be produced, we need to calculate the total profit for each type of product.

Let's start with the blocks:
- Given that the net profit per structured block is $0.25, we need to calculate the total profit by multiplying the net profit per block by the quantity of cement, sand, and gravel available.

- We have 2 tons of cement, which is equal to 2,000 kilograms. Assuming each block requires 1 kilogram of cement, we have enough cement to produce 2,000 blocks.
- Similarly, we have 3.5 tons of sand, equal to 3,500 kilograms. Assuming each block requires 2 kilograms of sand, we have enough sand to produce 1,750 blocks.
- Lastly, we have 6.3 tons of gravel, equal to 6,300 kilograms. Assuming each block requires 3 kilograms of gravel, we have enough gravel to produce 2,100 blocks.
- To find the total number of blocks, we take the minimum value among the quantities calculated above, which is 1,750 blocks.

Now let's calculate the pavers:
- Given that the net profit per paver is $0.35, we need to calculate the total profit by multiplying the net profit per paver by the quantity of cement, sand, and gravel available.
- We already know that we have 2,000 kilograms of cement, 3,500 kilograms of sand, and 6,300 kilograms of gravel.
- Assuming each paver requires 2 kilograms of cement, 3 kilograms of sand, and 4 kilograms of gravel, we can calculate the maximum number of pavers we can produce with the available materials.
- The minimum value among the quantities calculated above is 2,000 pavers.

Therefore, the recommended quantities to produce are 1,750 blocks and 2,000 pavers.

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Esta semana se dispone de 2 ton de cemento 3,5 ton de arena y 6,3 ton de ripio la utilidad neta por bloque estructurado es $ 0,25 y por adoquines $ 0,35 que cantidad de bloques y adoquines deben producirse, you can produce up to 9450 blocks and 9450 pavers with the available materials.

To determine the number of blocks and pavers that should be produced, we need to calculate how many can be made with the available materials.

Let's start with the blocks. Each block requires a certain amount of cement, sand, and gravel. Let's assume that 1 ton of cement can make 1000 blocks, 1 ton of sand can make 2000 blocks, and 1 ton of gravel can make 1500 blocks. With 2 tons of cement, 3.5 tons of sand, and 6.3 tons of gravel, we can produce:

2 tons of cement * 1000 blocks/ton = 2000 blocks
3.5 tons of sand * 2000 blocks/ton = 7000 blocks
6.3 tons of gravel * 1500 blocks/ton = 9450 blocks

Now let's move on to the pavers. Each paver requires the same amount of cement, sand, and gravel as a block. Assuming the same conversion rates, we can produce:

2 tons of cement * 1000 pavers/ton = 2000 pavers
3.5 tons of sand * 2000 pavers/ton = 7000 pavers
6.3 tons of gravel * 1500 pavers/ton = 9450 pavers

So, with the given materials, you can produce up to 9450 blocks and 9450 pavers. However, keep in mind that the decision on the exact quantity to produce should be based on market demand and production capacity.

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Consider the below below figure is attached with this question.

Given:

M is the midpoint of LN.

N is the midpoint of MO.

To prove:

LM=NO​ (instead of LM=MO).

Solution:

It is given that, M is the midpoint of LN. So,

\(LM=MN\)             ...(i)

N is the midpoint of MO. So,

\(MN=NO\)             ...(ii)

Using (i) and (ii), we get

\(LM=NO\)

Hence proved.

Answer: B.180

Step-by-step explanation:

number of acres = 60

area required for one goat = 1/3 of an acre

number of goats one acre can hold =  3

number of goats her land can support = 60*3 = 180

We can use the number line to see that 2 and any number greater than 3 are to the right of -4 1/2. By finding the Opposites of 2 and n and comparing them, we can write an inequality that is correct based on the number line.

The opposite of -4 1/2 is 4 1/2. This is because the opposite of a number is the number that is the same distance from 0 on the number line, but in the opposite direction. On a number line, -4 1/2 is to the left of 0, so its opposite, 4 1/2, is to the right of 0.

Looking at the number line, we can see that the number 2 is to the right of -4 1/2, but to the left of 4 1/2. Any number greater than 3, represented by n, is also to the right of -4 1/2.

The opposite of 2 is -2 and the opposite of n is -n. So, the inequality we can write is:

-n < -2

This is because -2 is to the left of -n on the number line. We can see that this inequality is correct on the number line because -2 is closer to 0 than -n, which means that -n is less than -2.

In summary, the opposite of -4 1/2 is 4 1/2, and it is related to -4 1/2 because they are the same distance from 0 on the number line, but in opposite directions. We can use the number line to see that 2 and any number greater than 3 are to the right of -4 1/2. By finding the opposites of 2 and n and comparing them, we can write an inequality that is correct based on the number line.

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The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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The average speed that would allow arriving at school on time is equal to 24.32 miles per hour if school starts in 37 minutes.

The speed that is required to arrive on time can be determined by the following formula;

s = d ÷ t

Here d represents the distance and t represents the time

As the school starts in 37 minutes and the distance is 15 miles, substituting these values in the equation;

s = (15/37) miles per minute

As 1 hour = 60 minutes; multiply by 60 to find the speed in miles per hour as follows;

s = 15/37 × 60

s = 900/37

s = 24.32 miles per hour

Therefore, the average speed that would allow arriving at school on time is calculated to be 24.32 miles per hour.

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Answer:

12

Step-by-step explanation:

(1/3) x  + 5 = 9

(1/3) x = 9 -5

(1/3) x = 4

Multiply both sides by 3

x = 12

Answer:

x = 12

Step-by-step explanation:

1/3x + 5 =9.

1/3x = 4,

x = 12

Answer:

\(x^{3} -x^{2} -5x-3\)

Step-by-step explanation:

you use distributive property for this, or you can do the box method

distributive:

\(x(x^{2} +2x+1)-3(x^{2} +2x+1)\) (you multiply the second equation by x-3)

then distribute, or multiply everything

\(x^{3} +2x^{2} +x-3x^{2} -6x-3\)

then collect like terms

\(x^{3} -x^{2} -5x-3\)

Answer:

Step-by-step explanation:

hello : note 297 no 279

297 =3×99

99 = 3 ×33

33=3×11

this the geometric sequence. ( comon : 3)

the nth term is : An = A1 × r^n     when : r = 3 and A1 =11

if n = 19      A19 = 11×3^19

The orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

To find the orthogonal complement w⊥ of w, we need to find the set of all vectors that are orthogonal (perpendicular) to w.

Given w = (x, y, z) = (12t, -12t, 6t), we can find a vector v = (a, b, c) that is orthogonal to w by taking their dot product equal to zero:

w · v = 0

Substituting the values of w and v:

(12t, -12t, 6t) · (a, b, c) = 0

(12t)(a) + (-12t)(b) + (6t)(c) = 0

12at - 12bt + 6ct = 0

Now, we can solve this equation to find the values of a, b, and c that satisfy the orthogonal condition for all values of t.

12at - 12bt + 6ct = 0

Factor out t:

t(12a - 12b + 6c) = 0

For this equation to hold true for all values of t, the expression inside the parentheses must equal zero:

12a - 12b + 6c = 0

Divide by 6:

2a - 2b + c = 0

This equation represents a plane in three-dimensional space. To find a basis for w⊥, we can express this equation in the form of a linear combination of vectors. Let's solve for c:

c = 2b - 2a

Now, we can express the basis vectors for w⊥ in terms of a and b:

v = (a, b, 2b - 2a)

We can choose any values for a and b to get different vectors in the orthogonal complement w⊥. For example, we can set a = 1 and b = 0:

v1 = (1, 0, 0)

Or we can set a = 0 and b = 1:

v2 = (0, 1, 2)

These two vectors, v1 and v2, form a basis for w⊥.

Therefore, the orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

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Answer:

-2/3

Step-by-step explanation:

Answer:

nm lol

Step-by-step explanation:

I did it wrong

An ordered rooted tree is a tree data structure in which each node has a specific parent-child relationship with its adjacent nodes. Each node in the tree has an address or path that specifies its location in the tree.

Given an ordered rooted tree T with vertex v at address 3.4.5.2.4, we can answer the following questions:

The level of a vertex in a tree is the number of edges on the path from the root to that vertex. In this case, the root is at address 3, and the path from the root to v has four edges: 3->4, 4->5, 5->2, and 2->4. Therefore, v is at level 5.

The parent of a vertex is the node that is immediately above it in the tree. In this case, the parent of v is the node at address 3.4.5.2. Therefore, the address of the parent of v is 3.4.5.2.

The siblings of a vertex are the nodes that have the same parent as the vertex. In this case, we do not have enough information to determine the number of siblings of v. We only know the address of v and its parent, but we do not know the structure of the tree beyond that.

The number of vertices in a tree can be calculated using the formula n = m + 1, where n is the total number of vertices and m is the number of edges. In this case, we know that the path from the root to v has four edges, so there are at least five vertices in the tree (including the root). However, we do not have enough information to determine the exact number of vertices in T, as there may be additional branches and nodes that are not specified.

Based on the address of v, we can determine some of the other addresses that must occur in the tree. For example, the address 3.4.5 must occur in the tree, as this is the parent of v. Additionally, the address 3.4 must occur in the tree, as this is the parent of 3.4.5. However, we cannot determine all of the other addresses that must occur in the tree without additional information about its structure.

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With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.

Given that:

Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.

We need to know how many servings of 3/4 cup can be obtained from 13 cups.

now we need to divide 13 by 3/4

=13 ÷ 3/4  

= 13 × 4/3

= 52/3

= 17\(\frac{1}{3}\)

With one third of a serving remaining, there are 17 servings total.

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Answer:

x>=6

Step-by-step explanation:

subtract 8 on both sides

Answer:

of course it would be 45

Step-by-step explanation:

it right trusss

Answer:

-2f+10+11f

= 9f+10

Step-by-step explanation:

just expand it

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:

a. 0.2975.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

In this problem, we have that the events are as follows:

We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:

\(P(A) = 0.35, P(B|A) = 0.85\)

Then:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

\(0.85 = \frac{P(A \cap B)}{0.35}\)

\(P(A \cap B) = 0.85(0.35) = 0.2975\)

Which means that option a is correct.

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Answer: x=500

Step-by-step explanation:

Twenty more (+20) of a fifth of a number (.2x) is equal to 120. So, the equation would be .2x+20=120. To isolate x, subtract 20 from each side. So now we have .2x=100. To get rid of the .2 or 1/5, we have to multiply everything by the reciprocal of 1/5, or 5. So, 100(5)=.2x(5), or simplified, x=500. Hope this helps!

Answer:

Eq

● y = mx + c

m = slope

c = intercept

y = 2/9 x + (-2)

slope m=2/9

A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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