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You need a 50% alcohol solution. On hand, you have a 240 mL of a 10% alcohol mixture. You also have 70% alcohol mixture. How much of the 70% mixture will you need to add to obtain the desired solution?

You will need

------------mL of the 70% solution

Answer: C. -11x^4+x^3+7x^2

Step-by-step explanation:

Combine like terms like -7x^4 and -4x^4, 5x^2+2x^2= 7x^2

Answer:

To find the mean absolute deviation, we first need to find the mean of the given data set:

Mean = (5 + 2 + 9 + 6 + 4)/5

Mean = 26/5

Mean = 5.2

Next, we find the absolute deviation of each data point from the mean:

|5 - 5.2| = 0.2

|2 - 5.2| = 3.2

|9 - 5.2| = 3.8

|6 - 5.2| = 0.8

|4 - 5.2| = 1.2

To get the MAD, we find the mean of these absolute deviations:

MAD = (0.2 + 3.2 + 3.8 + 0.8 + 1.2)/5

MAD = 9.2/5

MAD = 1.84

Therefore, the mean absolute deviation of the given data set is 1.8 (rounded to the nearest tenth).

Answer: 2.4

Step-by-step explanation:

Q1: (D) -37.5

Q2: (B) 18.5

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Answer:

State C : $30.9 Million       State D : $25.7 Million

Step-by-step explanation:

It may help to just forget about the word "million" and focus on the decimal number part,so one you get the deciaml number you can just put the word million after it as your answer.

First do 56.6 divided by 2, which equals 28.3. Since it said that State C spends 2.6 million more, you hvae to add 28.3 and 2.6 together, which also equals 30.9. So now you know State C spends $30.9 million total. In order to find out how much money State D sends, you have to do 56.6 - 30.9,which comes up to 25.7. So finnaly you know that State C spends 30.9 million dollars and State D spends 25.7 million dollars.

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

Step-by-step explanation:

x=4-/3

hope it helps.

Answer:

\( \sf \: x = \frac{ -4 \: }{ \: 3 } \)

Step-by-step explanation:

Given equation,

→ -3(x - 8) - 6 = 6(x + 5)

Now the value of x will be,

→ -3(x - 8) - 6 = 6(x + 5)

→ -3x + 24 - 6 = 6x + 30

→ -3x + 18 = 6x + 30

→ -3x - 6x = 30 - 18

→ -9x = 12

→ x = 12/-9

→ [ x = -4/3 ]

Hence, value of x is -4/3.

Answer:

3927

Step-by-step explanation:

How I did this was just trial and error. 1315 doesn’t work as it only adds up to 10. Lets try 2618. It still only adds up to 17. Let’s try 3927. It Works! Many get confused as they assume “The number formed by the last (right-most) two digits is three times the second digit from the left.” As adding up the last two digits. However, getting 21 is not possible considering the circumstances If you add the last two digits as a multiple. If you have 1234, the 3” and 4” aren’t separate numbers. The 3” and 4” is 34” not 3+4.

3+9=12.     12+2=14.     14+7=21.

Using the hit and trial method and the given condition Olivia's passcode can be determined. Olivia's passcode is 3927.

Given :

Olivia has four digits passcode.

The following steps can be used in order to determine Olivia’s passcode:

Step 1 - Let Olivia's passcode be 'wxyz'.

Step 2 - The sum of all the digits is given by the equation:

w + x + y + z = 21

Step 3 - The linear equation that represents the situation "The second digit from the left is three times the first (left-most) digit" is given by:

x = 3w

Step 4 - Now, use the hit and trial method first put (w = 1) and check all the given conditions. If w = 1 then x = 3 and but the third condition that is the last (right-most) two digits is three times the second digit from the left is not satisfied.

Step 5 - Now, put (w = 3) and check all the given conditions. If w = 3 then x = 9 and the last two digits become 2 and 7. And the sum of all the digits is equal to 21.

Step 6 - From the above steps, it can be concluded that the passcode is 3927.

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Answer:

There are infinitely many solutions

Step-by-step explanation:

Whatever number you plug in you'll get the same answer on both sides

Answer:

i think its infinitely many solutions

explanation; b + 14 = X and X can be anything, therefore theres many solutions

Answer:

X/3 because you need to divide Tylers books (x) by 3.

Step-by-step explanation:

If Tyler has 3 times as many books as Mai then you would need to divide Tyler's amount of books by 3.

Given the following equation:

Where,

a = -2

At a > 0, parabola opens up

At a < 0, parabola opens down

If the parabola opens up, it is a minimum functional value.

If the parabola opens down, it is a minimum functional value.

From the given equation with a = -2,

The graph is, therefore, opens down and has a maximum point.

The answer is CHOICE C : Opens downward, maximum point

Answer:

The third

Step-by-step explanation:

10,100,1000

1 zero

2 zeros

3 zeros

Answer:

The missing side length is 5 cm

Step-by-step explanation:

We see that 4cm is on the top and 9 cm is on the bottom.

All we need to do is subtract 4 from 9

9-4=5

The missing side length is 5 cm

Hope this helps! Plz award Brainliest : )

Answer:

Step-by-step explanation:

The aim of this question is to prove that the product of two rationals is rational.

To proof:

If \(\mathbf{x \ and \ y}\) are arbitrary rational numbers.

Thus, going by the definition of rational, there exist integers

a, b, ≠ 0, c, and d ≠ 0 ; \(x = \dfrac{a}{b} \ and \ y = \dfrac{c}{d}\)

Hence, \(xy = (\dfrac{a}{b})(\dfrac{c}{d}) = \dfrac{ac}{bd}\)

Since a and c are integers, then e = ac appears to be an integer as well.

Also, provided that b and d are non-zero integers;

f =bd appears to be a non-zero integer.

Therefore, \(xy = \dfrac{e}{f}\), and going by the definition of rational, xy is rational.

Hence, from the complete question:

The order of the statement is:

7,6,3,5,2,4

The statements that should not be used in the proof are:

1 N

8 N

9 N

10 N

11 N

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Step-by-step explanation:

a= c-b pls let me know if it is correct or not

When it comes to interest, most Certificates of Deposit (CDs) will allow periodic interest payouts. So, correct option is B.

A CD is a type of savings account that allows you to earn a fixed interest rate on your deposit for a specific period of time, called the term. Typically, the longer the term of the CD, the higher the interest rate offered.

However, during the term of the CD, the funds are locked in, meaning that you cannot withdraw the principal without incurring a penalty.

While some CDs may allow for unlimited withdrawals of interest, this is not common, and may still come with restrictions or penalties. Loans against principal are also not typically allowed with CDs, as the funds are meant to be held for a set term.

Therefore, the most common option available for CD holders is to receive periodic interest payouts, which can be monthly, quarterly, or annually, depending on the terms of the CD. This allows the CD holder to earn interest on their deposit while still receiving some income during the term of the CD.

So, correct option is B.

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Answer:

36,000lbs

Step-by-step explanation:

300 x 120

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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The span of the two vectors is the set of all linear combinations of the two vectors. This means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.

1. Start by taking two non-zero vectors u and v.

2. The span of the two vectors is the set of all linear combinations of the two vectors, which means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.

3. Therefore, span{u, v} contains the line through u and the origin, as well as the line through v and the origin.

The span of two non-zero vectors u and v contains the line through u and the origin, as well as the line through v and the origin. Any point on these two lines can be written as a linear combination of u and v.

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EXPLANATION

Let's see the facts:

Inspect period = 10 flight hours

Flown= 3 flights/2.75 hours

Total flights hours = 3x2.75 = 8.25 hours

The difference is 10-8.25 = 1.75 hours.

We need 1.75 hours more before the next wing inspection.

The worker recieves 3 hours of break time per day.

Given is that a a fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a hour break in the morning, a hour break for lunch, and a hour break in the afternoon.

The worker recieves three breaks, meaning it recieves 3 hours of break time per day.

Therefore, the worker recieves 3 hours of break time per day.

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Answer:

Step-by-step explanation:

The required it will take 2 hours for the friends to put 7 km between them.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).

We can now set up an equation:

2x + 3(x-1) = 7

Expanding the second term:

2x + 3x - 3 = 7

Combining like terms:

5x - 3 = 7

Adding 3 to both sides:

5x = 10

Finally, dividing both sides by 5:

x = 2

So it will take 2 hours for the friends to put 7 km between them.

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The one which shows the simplified function is:

1 − sin x

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

We have:

cos²x/(1 + sin x)

Recall that in trigonometry function:

cos²x = 1 - sin²x

            = 1² - sin²x  (difference of two squares)

            = (1 + sin x)(1 - sin x)

Thus, we can say:
cos²x/(1 + sin x) = [(1 + sin x)(1 - sin x)] / [(1 + sin x)]

                         = 1 - sin x

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