Hodor combines 3 quarts of a 5% sugar solution and 2 quarts of an 8% sugar solution. How many additional quarts of a 12% sugar solution must be added to make a 10% sugar solution?

Answer:

9y+3x

Step-by-step explanation:

The head circumference of a newborn boy who marks the start of the 75th percentile is approximately 35.38 cm.

To find the head circumference of a newborn boy who marks the start of the 75th percentile, we need to first find the z-score corresponding to the 75th percentile using the standard normal distribution.

The z-score formula is

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

To find the z-score that corresponds to the 75th percentile, we need to look up the z-score associated with a cumulative area of 0.75 under the standard normal distribution curve. This value can be found using a table or calculator and is approximately 0.674.

Now we can use the formula for the z-score to solve for the head circumference of a newborn boy at the 75th percentile

z = (x - μ) / σ

0.674 = (x - 34.5) / 1.3

0.674 × 1.3 = x - 34.5

0.8762 + 34.5 = x

x = 35.3762

x ≈ 35.38 cm

Learn more about z score here

brainly.com/question/15016913

#SPJ4

Answer: she earns $62 in two weeks

Step-by-step explanation:

Lisa gets 31 dollars a week for 2 weeks so all you have to do is multiply 31 x 2. If you did all of those correctly you would get $62 for your answer.

The solution using the butterfly method is -141/297

Using the butterfly method, we have that the steps for adding fractions are;

From the information given, we have that;

-4/11 + -2/3 - -5/9

-4/11 - 2/3 + 5/9

Add the values, we have;

-4/11 + 5/9 - 2/3

Multiply the numerators

-36 + 55/99

19/99 - 2/3

57 - 198/297

Subtract the values

-141/297

Learn more about fractions at: https://brainly.com/question/78672

#SPJ1

The lift equation provides a mathematical representation of the factors influencing lift. By understanding the variables in the lift equation and their effects, aircraft designers and pilots can optimize flight performance by adjusting variables such as the angle of attack, altitude, and velocity to achieve the desired lift characteristics for safe and efficient flight.

- Lift (L): Lift is the force generated by an airfoil or wing as a result of the pressure difference between the upper and lower surfaces of the wing.

- Coefficient of Lift (Cl): The coefficient of lift represents the lift characteristics of an airfoil or wing and is dependent on its shape and angle of attack.

- Air Density (ρ): Air density is a measure of the mass of air per unit volume and is affected by factors such as altitude, temperature, and humidity.

- Wing Area (A): Wing area refers to the total surface area of the wing exposed to the airflow.

- Velocity (V): Velocity is the speed of the aircraft relative to the air it is moving through.

- Coefficient of Lift (Cl): The shape of an airfoil or wing, as well as the angle of attack, affects the coefficient of lift. Changes in these variables can alter the lift generated by the wing.

- Air Density (ρ): Changes in air density, which can occur due to changes in altitude or temperature, directly affect the lift. Decreased air density reduces lift, while increased air density enhances lift.

- Wing Area (A): The size of the wing area affects the amount of lift generated. A larger wing area provides more surface for the air to act upon, resulting in increased lift.

- Velocity (V): The speed of the aircraft affects lift. As velocity increases, the lift generated by the wing also increases.

Changes During Flight:

During a flight, these variables can be changed through various means:

- Coefficient of Lift (Cl): The angle of attack can be adjusted using the aircraft's control surfaces, such as the elevators or flaps, to change the coefficient of lift.

- Air Density (ρ): Air density changes with altitude, so flying at different altitudes will result in different air densities and affect the lift.

- Wing Area (A): The wing area remains constant during a flight unless modifications are made to the aircraft's wings.

- Velocity (V): The velocity can be controlled by adjusting the thrust or power output of the aircraft's engines, altering the aircraft's speed.

To know more about equation, visit

brainly.com/question/29657983

#SPJ11

There are 18 deluxe rooms in the hotel.

To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.

The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:

Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)

= 100% - (55% + 30%)

= 100% - 85%

= 15%

So, 15% of the total rooms in the hotel are deluxe rooms.

To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:

Number of deluxe rooms = 15% of 120 rooms

= (15/100) * 120

= 0.15 * 120

= 18

For more such questions on percentage

https://brainly.com/question/843074

#SPJ8

The system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have three linear equations in three variables:

x - y - z = 0 ..(1)

2x - y + 2z = 1 ..(2)

x - y + z = -2 ..(3)

From the equation (1):

\(\rm x=y+z\)

Plug this value in the equation (2) and (3):

\(\rm 2\left(y+z\right)-y+2z=1\\\\ y+z-y+z=-2\)

After solving we get:

z = -1

y = 5

Plug the above two values in equation (1) we get:

x = 4

Thus, the system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

531018560805

Step-by-step explanation:

-48.95820 is the result of the products of the decimal numbers (-2.655) and (18.44).

Given the data in the question;

(-2.655) multiply by  (18.44)

First, we determine the total decimal places in the numbers.

We have 5.

Next, we ignore the decimal places and carry out the multiplication operation as if operating on two integers.

                                - 2 6 5 5

                ×                 1 8 4 4

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                +              1 0 6 2 0

                +           1 0 6 2 0

                +        2 1 2 4 0

                +       2 6 5 5

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

               =      - 4 8 9 5 8 2 0

Now, rewrite the result of the product with the 5 total decimal places.

= -48.95820

Therefore, the result of the multiplication operation is -48.95820.

Learn more on how to multiply decimal numbers here: https://brainly.com/question/25573338

#SPJ1

In this scenario, the first expression is the HCF of the two expressions.

If the first expression divides the second expression exactly, then the first expression is a factor of the second expression.

The highest common factor (HCF) of two numbers is the largest number that is a factor of both numbers.

Since the first expression is a factor of the second expression, then the first expression is the HCF of the two expressions.

Learn more on HCF :https://brainly.com/question/21504246

#SPJ1

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

Answer: x=4

Step-by-step explanation:

G(4) = 4x4 +3

G(4) = 16 + 3

G(4) = 19

Hyperkalemia is a medical condition that refers to an elevated level of potassium in the blood.

This condition can be caused by several factors, including kidney disease, certain medications, and hormone imbalances. Symptoms of hyperkalemia can range from mild to severe, depending on the level of potassium in the blood.

In a 60-year-old female diagnosed with hyperkalemia, the most likely symptom that would be observed is muscle weakness. This is because high levels of potassium can interfere with the normal functioning of muscles, leading to weakness, fatigue, and even paralysis in severe cases.

Other symptoms that may be observed in hyperkalemia include nausea, vomiting, irregular heartbeat, and numbness or tingling in the extremities. Treatment of hyperkalemia typically involves addressing the underlying cause of the condition, as well as managing symptoms through medication and lifestyle changes.

To learn more about factors click here

brainly.com/question/29128446

#SPJ11

Answer: The equation a+b+c=240 degrees is not true for any triangle, since the sum of the angles of a triangle is always 180 degrees. However, it could be true for a quadrilateral, which has four angles. One way to explain why a+b+c=240 degrees is to use the fact that opposite angles of a cyclic quadrilateral (a quadrilateral that can be inscribed in a circle) are supplementary, meaning they add up to 180 degrees. If we label the opposite angle of c as d, then we have c+d=180 degrees. Subtracting c from both sides, we get d=180-c. Then, adding a+b to both sides, we get a+b+d=240-c+c, which simplifies to a+b+c=240 degrees. Another way to explain why a+b+c=240 degrees is to use the fact that an exterior angle of a triangle is equal to the sum of the opposite interior angles. If we extend one side of the triangle and label the exterior angle as e, then we have e=a+b. Then, adding c to both sides, we get e+c=a+b+c. Since e+c is an exterior angle of another triangle formed by extending the side, it is equal to 180 degrees. Therefore, we have 180=a+b+c, which implies that a+b+c=240 degrees.

A little note to eliminate the answer choices, The line you see will have a Positive slope because it is facing the positive sign. This can eliminate the Answer choices C and d

To solve the slope, the formula is  

Change of Y/ Change of X                        In this problem the Formula will be

                                                                    8-2/ 5-(-7) if we plug in our numbers

Solve this step by step

8-2 is 6, 5-(-7 is 12. (Since Negative and Negative together is positive)

Our new slope is 6/12 wich is equal to 1/2

Thefore the answer is 1/2

I hope this helped.

Ps. Brianlistes would really help

Answer:

A. 1/2

Step-by-step explanation:

Find the change in y over the change in x.

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{8-2}{5-(-7)}\\\\m=\frac{6}{12}\\\\m=\frac{1}{2}\)

Answer:

Step-by-step explanation:

If there were 8 glasses of juice, and 350 ml was poured into each glass, then the total amount of juice poured into the glasses would be 8 x 350 = 2800 ml.

After pouring this much juice, John was still left with 200 ml juice in the jar.

Therefore, the capacity of the jar would be the total amount of juice poured into the glasses plus the amount remaining in the jar, which is 2800 ml + 200 ml = 3000 ml.

To convert this volume to liters, we can divide by 1000. Therefore, the capacity of the jar in liters would be 3000 ml / 1000 = 3 liters.

So, the capacity of the jar is 3 liters.

Answer:

Thing is rate this full stars then I will tell you

Step-by-step explanation:

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

Answer:

b I think is the right answer.

Answer:

Five= 9 One= 6 Twenty= 15

Step-by-step explanation:

A cashier has a total of 30 bills, made up of ones, fives, and twenties.

o+f+t=30,

The number of twenties is 9 more than the number of ones.

t=9+o,

The total value of the money is $351.

o+5f+20t=351

so we have

o+f+t=30, t=9+o,

o+5f+20t=351

f = 9, o = 6, t = 15

If 11/8/2021 is a Saturday, the value returned by the function "weekday(11/8/2021)" would likely be 6, assuming a common numbering convention where weekdays start with Sunday as 1 and end with Saturday as 7.

The function "weekday" returns the day of the week for a given date. In this case, if 11/8/2021 is a Saturday, the value returned by "weekday(11/8/2021)" will depend on the specific programming language or software being used.

However, assuming a common convention where weekdays are represented by numbers (Sunday as 1, Monday as 2, and so on), the function would likely return the value 6.

This is because in many programming languages, the numbering convention for weekdays starts with Sunday as 1 and ends with Saturday as 7. Therefore, if 11/8/2021 is a Saturday, it would correspond to the sixth day of the week, resulting in a return value of 6.

It's important to note that the specific implementation and behavior of the "weekday" function may vary depending on the programming language or software framework being used, so it's always recommended to consult the documentation or specific guidelines for accurate results.

To know more about programming languages refer here:

https://brainly.com/question/23959041#

#SPJ11

Answer:

B(-1,-6)

Step-by-step explanation:

reflecting reflecting over the x axis changes the y outputs.

Answer:

B (-1,-6)

Step-by-step explanation:

this may help you

(x,y) across the x is (x,-y)

(-x,y) across the x is (-x,-y) as your question

Answer:

2:5 is the answer

Step-by-step explanation:

Why is because it says What is the ratio of the distance Shawn ran to the distance he biked shawn ran 2 miles the ratio is 2:  and comparing how he rode 5 miles is 2:5

Answer:

2:5

Step-by-step explanation:

im in k12 LOL

Answer:

x=t+p

Step-by-step explanation:

x-p=t

x=t+p

Answer:

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of line w is -9/10

Using (-3,3) >> y = -9/10x + b

3 = -9/10(-3) + b

3 = 27/10 + b

b = 3 - 27/10 = 30/10 - 27/10 = 3/10

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

The equation of the line w will be y = -9/10x + 3/10 or y = 3/10(1 - 3x).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Perpendicular lines have slopes that are negative reciprocals of one another

The slope of line w is -9/10

Using (-3,3) >> y = -9/10x + b

3 = -9/10(-3) + b

3 = 27/10 + b

b = 3 - 27/10 = 30/10 - 27/10 = 3/10

y = -9/10x + 3/10 or y = 3/10(1 - 3x)

Therefore, the equation of the line w will be y = -9/10x + 3/10 or y = 3/10(1 - 3x).

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

Step-by-step explanation:

Solve 19+ 6w = 67

W =?

19 + 6w = 67

6w = 67 - 19

6w = 48

w = 48 : 6

w = 8

----------------------------

check

19 + 6 x 8 = 67

19 + 48 = 67

67 = 67

the answer is good

The derivative of the function 3x/cos(x) is (3cos(x) + 3xsin(x))/cos^2(x).

The function 3x/cos(x) using the terms you've mentioned.

1. First, recognize that the function is a quotient of two functions: f(x) = 3x and g(x) = cos(x).

2. Apply the Quotient Rule for differentiation, which states that if h(x) = f(x)/g(x), then h'(x) = (f'(x)g(x) - f(x)g'(x))/g^2(x).

3. Find the derivatives of the functions f(x) and g(x). For f(x) = 3x, the derivative f'(x) is 3. For g(x) = cos(x), the derivative g'(x) is -sin(x).

4. Now, apply the Quotient Rule using the derivatives you found: h'(x) = (3cos(x) - 3x(-sin(x)))/cos^2(x).

5. Simplify the expression: h'(x) = (3cos(x) + 3xsin(x))/cos^2(x).

So, the derivative of the function 3x/cos(x) is (3cos(x) + 3xsin(x))/cos^2(x).

To know more about Quotient Rule refer to

https://brainly.com/question/30278964

#SPJ11

Answer:

5.7<5.77

Step-by-step explanation: 5.7 is the same as 5.70, so we look at the hundreths spot and because 0.00 is less than 0.07 we give the ansewr to be 5.70<5.77