A 6-gallon container that is 40% juice is added to a 3-gallon container that is 50% juice. What percent of the resulting mixture is juice?

Answer:

2. a.

3. g.

4. e.

Answer:

We had this question last week let me check my book real quick.

Answer:

160 %

Step-by-step explanation:

percent change is : (new- old)/ old * 100%

(247 - 95)/95 * 100%

160 %

Answer:

160% increase

Step-by-step explanation:

Take the new price and subtract the original price

247 -95

152

Divide by the original price

152/95

1.6

Change to percent form by multiplying by 100%

1.6*100%

160%

Answer:

1. d

2. c

3. b

4. a

If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

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Two methods...

How can we divide easily by 5?

We know

Then

The common method

B. {3,4}⊆A and D. {1,2}⊆A.

You provided the following statements:

A. {1,2}∈A
B. {3,4}⊆A
C. {3}∈A
D. {1,2}⊆A

Let's analyze each statement:

A. {1,2}∈A: This means {1,2} is an element of A. This is false, as 1 and 2 are individual elements, not a set.
B. {3,4}⊆A: This means {3,4} is a subset of A. This is true, as {3, 4} is an element of A.
C. {3}∈A: This means {3} is an element of A. This is false, as the set {3} is not present in A.
D. {1,2}⊆A: This means {1,2} is a subset of A. This is true, as both 1 and 2 are individual elements of A.

Therefore, your answer is: Select the statement that is true: B. {3,4}⊆A and D. {1,2}⊆A.

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By answering the question the answer is Therefore, landscapers should equation use 35 gallons of an 80% pesticide solution.

In mathematics, an equation is a statement that two expressions are equal. The equation consists of her two sides divided by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The goal of solving an equation is to find the values ​​of the variables to make the equation true. Simple or complex equations, regular or nonlinear, and equations involving one or more factors are all possible. For example, the expression "\(x2 + 2x - 3 = 0\\\)" squares the variable x. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.  

Let's say a landscaper needs to use x gallons of an 80% pesticide solution.

The amount of pesticide for an 80% solution is 0.8 x gallons and the amount of pesticide for a 30% solution is 0.3 (35) = 10.5 gallons.

After mixing the two solutions, the total amount of pesticides in the mixture is 0.8 x + 10.5 gallons and the total volume of the mixture is x + 35 gallons.

Since we need a 55% pesticide solution, we can set the following formula:

\(0.8x10.5 0.55(x+35)0.8x10.5 0.55x+19.250.25x = 8.75x = 35\)

Therefore, landscapers should use 35 gallons of an 80% pesticide solution.

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From the Bayes' theorem, the proportion of probability of adults for which the test would be positive is equals to the 0.02097.

The Bayes' theorem, generally defines as the Bayes' rule, is a mathematical formula used in statistics and probability theory. We have a data of adults having a rare disease about the a diagnostic test. Let us consider two events defined as

A : person or adult has disease

B : test indicate person or adult has disease

Probability that a selected adult has a rare disease for which a diagnostic test developed, P(A) = 0.001

Probability the test will be positive (a person with the disease, P( B|A ) = 0.99

Probability the test will be positive( a person without the disease), P( B|A')

= 0.02

We have to determine the probability or proportion adults for which the test would be positive, i.e., P(B). Using the conditional probability theorem, \(P(B|A) = \frac{ (A ∩B) }{P(A)} = P(A|B)\frac{P(B)}{P(A} \)

P(B) = P( B∩A) + P(B ∩ A')

= P( B|A)P(A) + P( B|A')P(A')

\(P(A') = 1 - P(A) = 1 - 0.001 = 0.999 \)

substitute all known values in above formula,

=> P(B) = 0.99 × 0.001 + 0.02× 0.999

= 0.00099 + 0.01998

= 0.02097

Hence, required value is 0.02097.

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The problem involves a line segment divided into two parts in a specific ratio. The ratio of the length of the lesser part to the length of the greater part is found to be (√2 - 1).

Let the length of the whole line segment be x, and let y be the length of the greater part. Then the length of the lesser part is (x - y).

According to the problem statement, the ratio of the lesser part to the greater part is the same as the ratio of the greater part to the whole. Mathematically, we can write this as:

(x - y)/y = y/x

Simplifying this equation, we get:

x^2 - y^2 = y^2

x^2 = 2y^2

Taking the square root of both sides, we get:

x = y√2

Therefore, the value of the ratio of the lesser part to the greater part is:

(x - y)/y = (√2 - 1)

So, the answer will be (√2 - 1).

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Answer: 2.4

Step-by-step explanation:

8-2z=10z+3

First, take variables to one side

Don’t forget to change symbols when switch

-2z -10z= -8+3

Now solve, simplify

-12z=-5

The negatives cancel out, so divide both sides by 12

Z= 2.4

Answer:

mean = 5

median = 4.5

mode = 4

Step-by-step explanation:

Mean :

n = 8

sum of all items = 4+6+5+4+4+5+4+8

= 10+9+9+12

= 19+ 21

= 40

so,

mean = sum of all items/ n

= 40/8

= 5

mean = 5

Median:

ascending order: 4,4,4,4,5,5,6,8

n = 8

md = (n+1)/2 the term

= (8+1)/2 th term

= 9/2 th term

= 4.5 th term

= (4th + 5th) / 2

= (4+5)/2

= 9/2

= 4.5

median = 4.5

x. f.

4. 4

5. 2

6. 1

8. 1

here the highest frequency is 4 and 4 is corresponding to 4

so, mode = 4

Answer:

50.27 cm

Step-by-step explanation:

We Know

The area of the circle = r² · π

Area of circle = 64π cm²

r² · π = 64π

r² = 64

r = 8 cm

Circumference of circle = 2 · r · π

We Take

2 · 8 · (3.1415926) ≈ 50.27 cm

So, the circumference of the circle is 50.27 cm.

Answer: C=16π cm or 50.24 cm

Step-by-step explanation:

The formula for area and circumference are similar with slight differences.

\(C=2\pi r\)

\(A=\pi r^2\)

Notice that circumference and area both have \(\pi\) and radius.

\(64\pi=\pi r^2\)        [divide both sides by \(\pi\)]

\(64=r^2\)             [square root both sides]

\(r=8\)

Now that we have radius, we can plug that into the circumference formula to find the circumference.

\(C=2\pi r\)          [plug in radius]

\(C=2\pi 8\)          [combine like terms]

\(C=16\pi\)

The circumference Is C=16π cm. We can round π to 3.14.

The other way to write the answer is 50.24 cm.

Answer:

C. 31

Step-by-step explanation:

Answer:

31 because if you solve the () first then find the exponent and divide 4 THEN subtract (11+3 2), it gives you 31

Answer:

2/9, 2/3, 8/11, 5/6.

Answer:

30 feet

Step-by-step explanation:

For this problem we can use ratios 6:4 and x:20. We can also write these ratios as fractions 6/4 and x/20 or 3/2 and x/20. Set the two fractions equal to each other and solve for x:

3/2 = x/20

1.5 = x/20

30 = x

By solving algebraically......

1)

2)

3)

4)

5)

6)

7)

8)

Hope this answers your question!

Answer:

2044

Step-by-step explanation:

90,360,000 is each year, and if you multiply that by 10, it is 903,600,000. Do it again to get 1,807,200,000. That would equal the year of 2037, but it isnt enough. Then add 722880000, which would be 2044 and the total would be 7.53 billion + 1807200000 + 722880000 which equals to 10,060,800,000

Answer:

4

Step-by-step explanation:

4x +8 = 7x -4

3x = 12

x = 4

pls mark brainiest :)

Answer: divide by 1760 if converting to miles

5300 yd / 1760 = 3.01136 mi

Answer:

You have to divide when converting.

Step-by-step explanation:

5300 yards = about 3 miles

Using the normal distribution and the central limit theorem, it is found that there is a 0.1894 = 18.94% probability that the average number of pages in the sample is less than 500.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The probability that the average number of pages in the sample is less than 500 is the p-value of Z when X = 500, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{500 - 525}{\frac{200}{\sqrt{50}}}\)

\(Z = -0.88\)

\(Z = -0.88\) has a p-value of 0.1894.

0.1894 = 18.94% probability that the average number of pages in the sample is less than 500.

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No, Sarah is not correct. There are 5 blue balloons and 10 yellow balloons, which combined make up three-quarters of the total number of balloons.

To determine if Sarah's statement is correct, we need to calculate the fraction of red balloons out of the total number of balloons.

The total number of balloons Sarah has is:

5 (red) + 5 (blue) + 10 (yellow) = 20 balloons

Therefore, the fraction of red balloons out of the total number of balloons is:

5 (red) / 20 (total) = 1/4

This means that one-fourth of the balloons are indeed red. However, this does not mean that all of the other balloons are not red.

Sarah's statement suggests that the remaining three-quarters of the balloons are not red, which is not necessarily true. In fact, we know that there are 5 blue balloons and 10 yellow balloons, which combined make up three-quarters of the total number of balloons.

Therefore, Sarah's statement is not accurate.

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The probability mass function (PMF) of X is as follows:

P(X = 0) = 0.05625

P(X = 1) = 0.3625

P(X = 2) = 0.6

To find the probability mass function (PMF) of X, we need to determine the probabilities of each possible outcome for X. In this case, X can take values 0, 1, or 2, representing the number of shots the player makes when going to the foul line for two shots.

Let's calculate the probabilities for each outcome:

1. P(X = 0): This represents the probability that the player misses both shots.

P(X = 0) = (1 - 0.75) * (1 - 0.775) = 0.25 * 0.225 = 0.05625

2. P(X = 1): This represents the probability that the player makes exactly one shot.

P(X = 1) = P(First shot only) + P(Second shot only)

P(X = 1) = (0.75 * (1 - 0.775)) + ((1 - 0.75) * 0.775) = 0.75 * 0.225 + 0.25 * 0.775 = 0.16875 + 0.19375 = 0.3625

3. P(X = 2): This represents the probability that the player makes both shots.

P(X = 2) = P(Both shots)

P(X = 2) = 0.6

Now we have the probabilities for each outcome. Let's summarize the PMF for X:

X | 0 | 1 | 2

P(X) | 0.05625 | 0.3625 | 0.6

Therefore, the probability mass function (PMF) of X is as follows:

P(X = 0) = 0.05625

P(X = 1) = 0.3625

P(X = 2) = 0.6

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The coefficients for the expression are:

C₂ = C₀/2

C₃ = C₀/6

C₄ = C₀/24

C₅ = C₀/120

C₆ = C₀/720

To solve the given differential equation y' = xy using the power series substitution y = ∑ Cₙxⁿ, we will first find the derivative of y, then substitute both y and y' into the given equation, and finally determine the coefficients.

Step 1: Find the derivative of y.

y = ∑ Cₙxⁿ

y' = ∑ nCₙxⁿ⁻¹

Step 2: Substitute y and y' into the given equation.

∑ nCₙxⁿ⁻¹ = x ∑ Cₙxⁿ

Step 3: Match the coefficients on both sides of the equation.

For n = 1, C₁ = C₀.

For n = 2, 2C₂ = C₁ => C₂ = C₀/2.

For n = 3, 3C₃ = C₂ => C₃ = C₀/6.

For n = 4, 4C₄ = C₃ => C₄ = C₀/24.

For n = 5, 5C₅ = C₄ => C₅ = C₀/120.

For n = 6, 6C₆ = C₅ => C₆ = C₀/720.

So, the coefficients are:

C₂ = C₀/2

C₃ = C₀/6

C₄ = C₀/24

C₅ = C₀/120

C₆ = C₀/720

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Answer:

(4,2)

Step-by-step explanation:

if you rotate the triangle I would still be on the same point

Answer:

It mostly depends on the question

Step-by-step explanation:

The given equation is incorrect as the dimensions of the left-hand and right-hand sides do not match.

The statement "If an equation is correct, the left and the right side of the equation MUST have the SAME dimension. If not, the equation must be wrong!" is true.

An equation with the same dimension is consistent and any equation that is inconsistent is considered wrong. Below are the solutions of the given examples:

The equation given below is dimensionally correct. This means that the units of the left and right-hand side of the equation are the same.s = vt + 0.5 at²Thus, the given equation is dimensionally correct.

Let's analyze the given equation to see if it is dimensionally correct or not.v = sin(at²/s)

By analyzing the equation above, we can determine the dimensions of each term to see if the units match or not. Dimensions of sin() = dimensionlessDimensions of at²/s = LT²/T = LT

Therefore, the given equation is not dimensionally correct because the left-hand side of the equation is dimensionless (unitless) while the right-hand side of the equation has units of LT. Therefore, the given equation is incorrect as the dimensions of the left-hand and right-hand sides do not match.

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Answer:

W= -3

Step-by-step explanation:

3w=6+5w

-5w on each side

-2w=6

Divide by - 2 on each side

W=-3