Find the unit rate for miles per gallon for a car that travels 396 miles on 13 gallons of gas

Answer:

(B-P) / Pz  = r

Step-by-step explanation:

B = P + Prz

Subtract P from each side

B-P = P -PPrz

B-P = Prz

Divide each side by Pz

(B-P) / Pr  = Prz/Pz

(B-P) / Pz  = r

Answer:the answer -8x-9y=-17

16x-4y=12

Step-by-step explanation:

divide 16x-4y=12 with 2

8x-2y=12

Then add the equations

-8x-9y=-17

8x-2y=12

0-11y=-23

You can’t do this with the other equations provided.

A. 1 MXN Peso = $0.05( multiply by 413);

then 20.66 pesos are in a dollar

B. 1 pound = 0.75 dollars ( multiply by 37.46);

then 28.091 pesos in a pound

The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Percentage of voters who plan to re-elect mayor = 44%

Margin of Error in measurement = ±3 % points

The absolute value inequality to find the lowest and greatest percent of points :

X = mid value

44% = estimated percentage

≤3 = error margin

Hence,

|mid value - estimate| ≤ error margin

|x−44|≤3

Hence,

-3 ≤ x - 44 ≤ +3

-3 + 44 ≤ x ≤ 3 + 44

41 ≤ x ≤ 47

Hence,

Least percentage point = 41

Greatesr percentage point = 47

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer:

I looked ot up on calculator and it had said 1.6666666

Answer:

15

Step-by-step explanation:

If you multiply 3 by 5, you have the answer of 15.

Or

X / 3 = 5

Multiply both sides by 3 to clear the fraction.

x=15

To estimate the mean BMI (m) in the population of American young women with a confidence interval of ±1 and 99% confidence, we can use the formula:

n = (Z * σ / E)^2

Where:

n = required sample size

Z = Z-value corresponding to the desired confidence level (99% confidence level corresponds to Z = 2.576)

σ = standard deviation of the population (given as 7.5)

E = margin of error (±1)

Plugging in the values, we have:

n = (2.576 * 7.5 / 1)^2

n = (19.314 / 1)^2

n = 372.36

Rounding up to the nearest whole number, we need a sample size of approximately 373 to estimate the mean BMI in the population with a 99% confidence level and a margin of error of ±1.

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Note: The function is not an equation. I will form and solve an equation to answer the question.

Answer:

C. Two real solutions

Step-by-step explanation:

We have the following function:

f(x)=2(x-1)^2+4

It does not form an equation to solve, and therefore, there are no 'solutions'. We must equate the function to something to set a condition and solve it. We'll complete the equation.

Solve for x when:

f(x)=12

Substituting the function:

2(x-1)^2+4=12

Subtracting 4:

2(x-1)^2=8

Dividing by 2:

(x-1)^2=4

Taking square root:

x-1=\pm\sqrt{4}

Solving:

x=1\pm2

We have two real solutions x=3 and x=-1

Note if we had equated to 4, then the equation would have had only one real solution, and if we had equated to 0, we would have two complex solutions.

The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.

The discriminant of a quadratic is a number that depends on the components and allows some characteristics of the roots to be deduced without calculating them.

The quadratic equation is ax² + bx + c = 0. Then the discriminant is given as,

D = b² - 4ac

The equation is given below.

f(x) = 2(x - 1)² + 4

f(x) = 2x² - 4x + 2 + 4

f(x) = 2x² - 4x + 6

The discriminant is given as,

D = (-4)² - 4×2×6

D = 16 - 48

D = - 32

D < 0

The roots are complex root.

The solution of equation f(x) = 2x² - 4x + 6 is two complex solutions. Then the correct option is B.

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The median of the distribution is x = 10.

To find the median of the distribution with pdf f(x) =5/x^2, x>=5, we need to find the value of x that splits the area under the curve in half. In other words, we need to find the value of x such that:

∫[5, x] f(t) dt = 1/2

Integrating the pdf f(x) gives:

F(x) = -5/x + C

We can find C by using the fact that F(∞) = 1:

F(∞) = -5/∞ + C = 1

which implies that C = 1. Therefore, we have:

F(x) = 1 - 5/x

Now, we can solve for the median x by setting F(x) = 1/2 and solving for x:

1 - 5/x = 1/2

5/x = 1/2

x = 10

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The index of the middle element is 4.

The list (0, 1, 1, 2, 3, 5, 8, 13, 17), the binary search algorithm calls Binary Search (list, 0, 8, 3). The index of the middle element is 4. The binary search algorithm works by dividing a list into halves and looking at the value in the middle of the list. This is compared with the target value, and based on the comparison, one-half of the list is discarded as the search is continued in the other half. This is continued until the target value is found or it is clear that it is not on the list. In the given case, the list is (0, 1, 1, 2, 3, 5, 8, 13, 17), and the algorithm calls Binary Search(list, 0, 8, 3).

Here, the first parameter of the Binary Search function is the list, the second parameter is the lower index of the part of the list being searched, the third parameter is the upper index, and the fourth parameter is the value being searched. In the given case, the lower index is 0, the upper index is 8, and the value being searched is 3. The index of the middle element in the list is calculated as (0 + 8) / 2 = 4.

Therefore, the index of the middle element is 4.

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The topmost common factor of 6 and 30 is 6.

To find the topmost common factor( GCF) of 6 and 30.

We can determine the factors of both figures and identify the largest factor they've in common.

The factors of 6 are 1, 2, 3, and 6.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

From the common factors listed over, the largest factor that both 6 and 30 share is 6.

Thus, the topmost common factor of 6 and 30 is 6.

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The length of side AB of the isosceles triangle is 8x + 5.

The formula for finding the length of a isosceles triangle side is given by:

Length of side = √x² +  y²

Where x and y are the lengths of the other two sides.

To find the length of the side AB, we need to first calculate x and y. We know that BC = 4x + 4 and CA = 3x + 9.

Therefore, \(x = BC - CA = 4x + 4 - 3x - 9 = x + -5\)

And \(y = CA - BC = 3x + 9 - 4x - 4 = -x + 5\)

Substituting these values in the formula, we get:

Length of side AB = √((x + -5)² + (-x + 5)²)

= √((x² + 25) + (x² + 25))

= √(2x² + 50)

= √(2(8x + 5)²)

= √(16x2 + 80x + 25)

= 8x + 5

Therefore, the length of side AB is 8x + 5.

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Answer:

boy go get yo lazy ahh and do it yo self

Step-by-step explanation:

SRRYIMA NEED THOSE POINTS

Answer:

x = 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c we know that the inside angles of a triangle add to 180

180 = 38 + x + x + 2

180 = 40 + 2x

140 = 2x

70 = x

To calculate the margin of error needed to create a 90% confidence interval for the mean, we need to consider the standard deviation, sample size, and the desired confidence level.

The formula to calculate the margin of error is:

Margin of Error = Critical Value * (Standard Deviation / √(Sample Size))

The critical value corresponds to the desired confidence level and is obtained from the standard normal distribution or t-distribution based on the sample size and whether the population standard deviation is known or unknown.

If the population standard deviation (σ) is known, we use the standard normal distribution and the critical value is obtained from the Z-table for the desired confidence level.

If the population standard deviation (σ) is unknown, we use the t-distribution and the critical value is obtained from the t-table for the desired confidence level and degrees of freedom (sample size minus one).

Once we have the critical value, standard deviation, and sample size, we can calculate the margin of error using the formula mentioned above.

Note: Since you haven't provided specific data or the sample size, I cannot calculate the exact margin of error. However, with the appropriate values, you can follow the steps outlined above to determine the margin of error for a 90% confidence interval for the mean.

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To calculate the margin of error needed to create a 90% confidence interval for the mean, we need to know the sample size (n), the standard deviation (σ), and the critical value corresponding to a 90% confidence level.

The formula for the margin of error is given by:

Margin of Error = Critical Value * Standard Error

The critical value for a 90% confidence level depends on the distribution of the sample. If we assume a normal distribution, the critical value is approximately 1.645.

The standard error is calculated as the standard deviation divided by the square root of the sample size:

Standard Error = σ / √n

By substituting the appropriate values into the formula, we can calculate the margin of error. However, without specific values for the sample size and standard deviation, it is not possible to provide the exact margin of error.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

If the expression is the square of a binomial, then it must have the form \($(ax + b)^2 = a^2x^2 + 2abx + b^2$\).

Comparing the coefficients of like terms, we have:

\(a^2 = x^2$, so $a = x\)

\(2ab = 18x$, so $b = 9\)

Therefore, the missing number is \($\boxed{9}$\).

The missing number was found by using the fact that the expression must have the form \($(ax + b)^2 = a^2x^2 + 2abx + b^2$\) if it is the square of a binomial.

By comparing the coefficients of like terms in this equation and in the expression given, \($x^2 18x \boxed{\phantom{00}}$\), we were able to solve for the values of \($a$\) and \($b$\) as follows:

\($a^2 = x^2 \Rightarrow a = x$\)

\($2ab = 18x \Rightarrow b = 9$\)

Finally, we see that the coefficient of the \($x$\) term in the expression is \($2ab = 2 \cdot x \cdot 9 = 18x$\), which matches the given expression. Hence, the missing number is \($\boxed{9}$\).

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Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

Step-by-step explanation:

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x  (Number of miles)

Given:

For Company A ,

Flat charge= $45

Charge per mile =  11 cents  = 0.11   [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]

Total charge = 45+0.01x

For Company B,

Flat charge= $60.50

Charge per mile =  13 cents  = 0.13

Total charge = 60.50+0.13x

Difference in charge = Charge for company B -  Charge for company A

= 60.50+0.13x-(45+0.01x)

= 15.5+0.12x

Hence,  Company B charges $(15.5+0.12x) more for x miles than company A.

Answer:

400 = (x - 10)²

x² -20x -300 = 0

x = 30 and x = -10

Length side of the garden = 20 feet

Step-by-step explanation:

Given:

Area of square garden = 400 square feet

Length side of the garden = (x - 10) feet

Find:

Length side of the garden

Computation:

Area of square = side²

Area of square garden = Length side of the garden²

400 = (x - 10)²

400 = x² -20x + 100

x² -20x -300 = 0

x² -30x  + 10x -300 = 0

x(x - 30) + 10(x - 30) = 0

(x - 30)(x + 10) = 0

So,

x = 30 and x = -10

Use x = 30 positive number

Length side of the garden = (x - 10) feet

Length side of the garden = (30 - 10) feet

Length side of the garden = 20 feet

Answer:

Symmetric property of angle congruence

Answer:

indirect measurement

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

The required solution  of the given expression is  12.247.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

\(\frac{150}{\sqrt{150} } \\\)

Simply or simplification is reducing the expression/fraction/problem in a simpler form. A fraction is in simplest form if the top and bottom have no common factors other than 1.

The process of making something less complicated and therefore easier to do or understand, or the thing that results from this process.

According to given question we have

\(\frac{150}{\sqrt{150} } \\\)

We know that the square root of 150 is  12.247.

By putting the value we have

150/12.247

= 12.247.

Therefore, the required solution  of the given expression is  12.247.

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Answer:

The correct answer is A

Step-by-step explanation:

A line parallel to M

Answer: 1/2 or 23/50

Step-by-step explanation:

Sorry no steps

Answer:

1/2

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf 102.1 \ meters}}\)

Step-by-step explanation:

Let's assume the tree forms a right angle with the ground.

The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.

Let's draw a diagram. (not to scale)

We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.

x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.

\(tan(\theta)=opposite/adjacent\)

The angle (θ) is 80. The opposite is x. The adjacent is 18.

\(tan(80)=x/18\)

Now, solve for x by isolating it.

x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.

\(18*tan(80)=x/18*18\)

\(18*tan(80)=x\)

\(18*5.67128182=x\)

\(102.0830728=x\)

Round to the nearest tenth. The 8 in the hundredth place tells us to round up.

\(102.1\approx x\)

The height of the tree is about 102.1 meters.

**diagram is not to scale

( 20 - 16 / 16 ) × 100 =

( 4 / 16 ) × 100 =

( 1 / 4 ) × 100 =

100/4 =

% 25