Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8

To make lemonade, using one gallon of water, four quarts of lemon juice, and 32 ounces of honey, you would make 34 quarts of lemonade.

First, notice that gallons are larger than quarts. You are moving from a larger unit of measure to a smaller unit of measure. This means you will need to multiply. There are 4 quarts in a gallon, so your conversion factor is 4. Now, multiply. Take the given number of gallons and multiply by 4.

8(1/2) x 4 = (17/2) x (4/1) = 68/2 = 34

The answer is 8(1/2) gallons - 34 quarts.

The body metabolizes and eliminates alcohol at a fixed rate, which can only be sped up with time. Hydrating and eating food may make you feel better, but they do not speed up the process of becoming sober.

The only way to sober up after drinking is to allow time for your body to metabolize and eliminate the alcohol. No amount of coffee, water, or food can speed up this process. The liver processes alcohol at a fixed rate, and it takes about one hour to metabolize one standard drink. Other factors such as sex, weight, and age can affect this rate, but ultimately, getting sober just takes time. While waiting to sober up, hydrating and eating food can make you feel better, but doesn't actually speed up the sobriety process.

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The answer is A) 3 / 20 on USA Test Prep!

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Answer:

[tex]s(t)=(9 cost,9 sint , 32805 cos^4 t) , t\in (0,2\pi)[/tex]

Step-by-step explanation:

We are given that two surfaces

[tex]x^2+y^2=81[/tex]

and [tex]z=5x^4[/tex]

We have to find the parametrize the intersection of the given surfaces using cost and sin t with positive coefficient.

We know that intersection curve S(t) is given by

S(t)=(x(t),y(t),z(t)),[tex]t\in(0,2\pi)[/tex]

[tex]x^2+y^2=(9)^2[/tex]

Compare with the equation of circle [tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is center of circle and r is the radius of the circle.

The center and radius of given circle is (0,0) and 9.

[tex]x=9cost,y=9 sint[/tex]

because cost  takes along x - axis and sin t takes along y- axis.

When we substitute these values then we get

[tex]81cos^2t+81sin^2t=81(cos^2t+sin^2t)=81 [/tex] ([tex]sin^2t+cos^2t)=1[/tex])

Hence, [tex]x=9 cost, y= 9sint [/tex]

Substitute the value of x in second equation of surface

[tex]z=5(9cost)^4=32805 cos^4t[/tex]

Hence, the intersection curve s(t) is given by

[tex]s(t)=(9 cost,9 sint , 32805 cos^4 t) , t\in (0,2\pi)[/tex]

The rate of flow of syrup from the tree will be in mixed fraction form, equal to 1 1/2.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

The amount of syrup obtained from the tree = 3/4 cup

The time is taken to fill 3/4 cup = 1/2 hour

Then, the rate of flow of syrup will be,

(3/4) ÷ (1/2)

3/4 × 2/1

= 6/4 = 3/2

It can also be written in mixed fraction form,

= 1 1/2

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The conversion of the given degrees 220° is equal to 11π/9 radians approximately.

To convert degrees to radians, use the following formula:

radians = degrees × (π / 180)

Let's apply this formula to convert 220 degrees to radians:

radians = 220 × (π / 180)

radians = 220π / 180

Now, to simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 20:

radians = (220/20)π / (180/20)

radians = 11π / 9

Therefore, 220 degrees is equal to approximately 11π/9 radians.

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Answer:

9.4

Step-by-step explanation:

We are given that two integers -14.6 and -5.2

We have to find  distance between -14.6 and -5.2.

Difference between =-5.2-(14.6)

Difference=-5.2+14.6=9.4

Distance is the absolute value of 9.4

Therefore,

[tex]\mid 9.4\mid =9.4[/tex]

Distance between -14.6 and -5.2 is 9.4

The difference between 164 and 220 is 56.

The difference between 164 and 220 is 56. In mathematical terms, you calculate the difference by subtracting the smaller number from the larger one:

220 - 164 = 56.

Answer:

C. (x -11)

Step-by-step explanation:

The given trinomial is [tex]x^2 - 7x - 44[/tex]

Let's factor it. To find factor, we need to find the factors of -44 such that when you add them, we have to get -7

-44 = -11*4

- 7 = -11 + 4

so the correct factors are -11 and 4

Now we can write the middle term - 7x = -11x + 4x

[tex]x^2 - 7x - 44 = x^2 - 11x + 4x - 44[/tex]

Now let's group the first two terms and second two terms and factor it.

= x(x - 11) + 4(x - 11)

Here (x-11) is common factor, so we can take outside and rewrite.

= (x - 11)(x + 4)

So the factors are (x - 11) and (x + 4)

Answer is C. (x -11)

For the inequality y ≥ x, the boundary line should be solid, the slope should be 1, the y-intercept should be 0, and shading should be above the line. Therefore, the error could be an incorrect slope, an incorrect y-intercept, or shading below the line.

Without seeing the graph it is difficult to determine exactly what is wrong, but based on the question and the options given, we can review the conditions of the inequality y ≥ x. For this inequality:

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Answer:25%

Step-by-step explanation:

By setting up a system of equations, we find that the larger and smaller numbers in question are 31 and 12, respectively. We solve for the larger number first and then use it to find the smaller number.

To solve this problem, we can use variables to represent the two unknown numbers. Let's call the larger number x and the smaller number y. We have two pieces of information that can be turned into mathematical equations:

Now we can substitute the second equation into the first one to solve for x:

x + (x - 19) = 43

Simplifying the equation, we get:

2x - 19 = 43

Adding 19 to both sides gives us:

2x = 62

Dividing both sides by 2 gives us:

x = 31

Now that we have the value of x, we can find y:

y = 31 - 19

This gives us:

y = 12

Therefore, the larger number is 31 and the smaller number is 12.

Final answer:

The probability that fewer than 32 out of 60 victims did not know their murderer can be found using the binomial probability formula, summing the probabilities where x ranges from 0 to 31 with a success rate of 42% for each trial.

Explanation:

To find the probability that fewer than 32 out of 60 murder victims did not know their murderer, given that 58% of victims did know their murderer, we can use the binomial probability formula. Considering that 42% (=100%-58%) of the victims did not know their murderer, we want the cumulative probability of x=0 to x=31 successes (victims not knowing the murderer) out of n=60 trials (total murder cases).

 This can be calculated using a statistical program or a binomial probability table, as manually computing this would be time-consuming and complex. However, the specific steps would involve summing up the probabilities of all scenarios where the number of victims not knowing their murderer ranged from 0 to 31, factoring in the binomial coefficient, the probability of a single victim not knowing the murderer (42%), and its complement for each case.

The place of the digit 2 in the decimal number will be hundredths place.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The decimal number is the sum of a whole number and part of a fraction number. The fraction number is greater than zero but less than one.

The decimal number is given below.

⇒ 0.812

The place after the decimal starts from the tenths, hundredths, thousandths, and so on.

The place of the digit 2 in the decimal number will be hundredths place.

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