Please help I would appreciate it

Answer:

324 miles

Step-by-step explanation:

Set up a proportion

243

12

=

x

16

Cross multiply

12

x

=

3888

x=324 miles

The equation 2 - 7/9x = 5/6, when rewritten without fractions, is x = 9/2.

To rewrite the equation 2 - 7/9x = 5/6 without fractions, we can eliminate the fractions by multiplying both sides of the equation by the least common denominator (LCD) of all the denominators involved.

The LCD in this case is the product of 9 and 6, which is 54.

Multiplying both sides of the equation by 54:

54 * (2 - 7/9x) = 54 * (5/6)

On the left side, we distribute the 54 to each term:

108 - (54 * 7/9)x = (54 * 5/6)

Now we simplify each side of the equation:

108 - (378/9)x = 270/6

108 - 42x/9 = 270/6

Now we can simplify the equation further:

108 - 14x = 45

To eliminate the constant term on the left side, we subtract 108 from both sides:

-14x = 45 - 108

-14x = -63

Finally, to isolate x, we divide both sides by -14:

x = (-63) / (-14)

Simplifying the division:

x = 9/2

Therefore, the equation 2 - 7/9x = 5/6, when rewritten without fractions, is x = 9/2.

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In order to answer this question, we first need to understand what the given variables represent. PB and BC are both equal to 6, which means that these two sides of the triangle are congruent. ED is not given, so we need to find its value. If PB = BC = 6, then ED is equal to 6sqrt(2).

To solve for ED, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, we can assume that angle B is a right angle, since PB and BC are congruent and therefore opposite angles must be congruent as well.

Using the Pythagorean theorem, we can set up the equation:

ED^2 = PB^2 + BC^2

Since PB and BC are both equal to 6, we can substitute these values into the equation:

ED^2 = 6^2 + 6^2

Simplifying, we get:

ED^2 = 36 + 36

ED^2 = 72

Taking the square root of both sides, we get:

ED = sqrt(72)

Simplifying further, we get:

ED = 6sqrt(2)

Therefore, if PB = BC = 6, then ED is equal to 6sqrt(2).

For example, are they in a specific geometric shape like a rectangle or a triangle? Please provide additional context or a diagram for better understanding. Once I have more information, I'd be happy to help you determine the value of ED.

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Given:

The graph of a line.

To find:

The slope of the graphed line.

Solution:

From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{5-2}{2-(-2)}\)

\(m=\dfrac{3}{2+2}\)

\(m=\dfrac{3}{4}\)

Therefore, the slope of the given graphed line is \(m=\dfrac{3}{4}\).

the amount of terms in the expression is unaffected by the absence of plus or minus signs. Mary is incorrect in her thinking. The amount of terms in an expression is not based on whether plus or minus signs are present.

Mary's reasoning is not correct. The presence of plus or minus signs does not determine the number of terms in an expression.

In algebraic expressions, a term is a product of numbers and variables, and it can be separated from other terms by addition or subtraction signs.

In the expression a/z, there is only one term, which is a divided by z. It does not have any other terms because there are no other products of numbers and variables separated by addition or subtraction signs.

Therefore, in this case, the lack of plus or minus signs does not affect the number of terms in the expression.

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Answer:

f(x) = [k(x): x = s(x) = t(x)]

Step-by-step explanation:

To make the question clearer, rewrite;

A blouse that is size x in country A is size s(x) in country B.

s(x) = x

A blouse that is size x in country B is size t(x) in country C.

t(x) = x

Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.

f(x) = [k(x): x = s(x) = t(x)]

Interpretation:

f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.

Where the other blouse sizes are represented by k(x) or as a function of the given size x.

The accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8971.90.

To compute the accumulated value of $8600at 6.45% after 8 months (simple interest), we need to use the formula for simple interest, which is given by:

I = P × r × t

Where, I is the interest earned, P is the principal amount, r is the interest rate, and t is the time in years.

Here, we have t in months, so we need to convert it into years by dividing by 12.

So, t = 8/12 = 2/3 years.

Now, substituting the given values, we get:

I = 8600 × 6.45/100 × 2/3 = $371.90

Therefore, the accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8600 + $371.90 = $8971.90.

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Answer:

yeah...

c0vid 19 is destroying the world

Step-by-step explanation:

Answer:A, C, and D

Step-by-step explanation:

Answer:

to figure this out you would need to know the circumference of the dime. then divide 41.8 by the circumference.

Step-by-step explanation:

if the circumference is aprox. 2.2 inches, then you would divide 41.8 by 2.2.

The exponents a and b in the simplified expression are:

a = 1

b = 7

Remember the rules for exponents:

\(a^x*a^y = a^{x + y}\\\\a^x/a^y = a^{x - y}\\\\(a^x)^y = a^{x*y}\)

Now we need to use these rules to simplify our expression:

\(\frac{x^2(y^3)^4}{x*y^5}\)

We can rewrite that as:

\(\frac{x^2(y^3)^4}{x*y^5} = \frac{x^2}{x} *\frac{(y^3)^4}{y^5} = x^{2 - 1}\frac{y^{3*4}}{y^5} \\\\= x*y^{12 - 5} = x*y^7\)

Then the values of a and b are:

a = 1

b = 7

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Answer:

1/80

Step-by-step explanation:

The probability of selecting each of the event in the sample space is; 1/80

We are given;

Sample Space = 80 separate events

Now, we are told that each event is equally likely to be selected.

Thus;

Probability of selecting each event = 1/80

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The result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

To subtract the expression 7x - 9 from 2x² - 11, we need to distribute the negative sign to every term within the expression 7x - 9, and then combine like terms.

First, let's distribute the negative sign:

2x² - 11 - (7x - 9)

Now, distribute the negative sign to each term within the parentheses:

2x² - 11 - 7x + 9

Next, let's combine like terms:

2x² - 7x - 2

Therefore, the result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.

In this expression, the highest power of x is 2, which means it is a quadratic expression. The coefficient of x² is 2, and the coefficient of x is -7. The constant term is -2.

This quadratic expression can be further simplified or factored if needed, but the subtraction process is complete with the result 2x² - 7x - 2.

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The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Answer: 0.2417

Step-by-step explanation:

- 10! / (10-5)!5! x 0.53^5 x 0).47^5

To solve the problem we must know Binomial distribution.

The probability that exactly half have some college education is 17.3425%.

Given to us

To solve the problem we will use the Binomial distribution, therefore,

We want the probability that exactly half have some college education, therefore, x = 5

\(P(x) = ^nC_x\ p^x\ q^{(n-x)}\)

Substitute the values we get,

\(P(5) = ^{10}C_5\ (0.63)^{5}\ (0.37)^{(10-5)}\\\\P(5) = ^{10}C_5\ (0.63)^{5}\ (0.37)^{5}\\\\P(5) = 0.173425 = 17.3425\%\)

Hence, the probability that exactly half have some college education is 17.3425%.

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In this scenario, we have a box containing 7 cameras, with 4 of them being defective. We are interested in the number of defective cameras in a sample of 2 cameras, represented by the random variable X.

To find the probability distribution for X, we calculate the chances for each possible  outgrowth. The probability of having 0  imperfect cameras( X =  0) is1/7, as there's only one way to  elect 2non-defective cameras out of the 7 available.  The anticipated value of X, denoted as E( X), provides an estimate of the average number of  imperfect cameras in a sample of 2. It's calculated by multiplying each possible  outgrowth by its corresponding probability and  casting  them up.

Probability distribution for X:

P(X = 0) = 1/7

P(X = 1) = 4/7

P(X = 2) = 2/7

Expected value of X: 1.1429

In this case, the anticipated value of X is1.1429, indicating that, on average, we'd anticipate to find  roughly1.1429  imperfect cameras in a sample of 2 cameras.   The anticipated value serves as a measure of central tendency and provides  perceptivity into the long- term average  outgrowth.

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Answer:

A = 30°

x = 9·√3

Step-by-step explanation:

Part A

In the drawing, we are given;

The radius of the circle with center at point S = SA = 18

ΔAHA is a right triangle

One of the leg length of ΔASH = 9

The length of the hypotenuse side of ΔASH, AS = 18 The radius of the circle with center at the point 'S'

By Pythagoras's theorem, the length of the (radius) side, AS  = √(SH² + AH²)

∴ AH = √(AS² - SH²)

AH = √(18² - 9²) = √(243) = 9·√3

AH = 9·√3

By circle theorem, SH bisects the line AH extended to the circumference of the circle

SH bisects the line with length AH + x

∴ AH = x

x = AH = 9·√3

x = 9·√3

Part B

By trigonometric ratios, we have;

\(sin\angle A = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}\)

\(\therefore sin\angle A = \dfrac{9}{18} = \dfrac{1}{2}\)

∠A = arcsine (1/2) = 30°

Angle A = 30°

Answer:

20

Step-by-step explanation:

Answer:

Answer is 1/216.

Step-by-step explanation:

Answer:

b is the right answer

Step-by-step explanation:

Answer:

Jaden gets $45

Step-by-step explanation:

2:5 is a part to part ratio, which means that there are seven parts. (2+5=7)

There are seven parts of 9 in 63. (63/7=9)

Charles gets two of those parts and Jaden gets 5 of those parts, so Charlies gets two 9s, and Jaden gets five 9s.

Charlie: 2 x 9 = 18

Jaden: 5 x 9 = 45

Answer:

False

Step-by-step explanation:

[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees

The product of (8-6b)(5-3b), using the distributive property of multiplication is \(18b^2 - 54b + 40\).

This problem is actually an algebraic expression involving variables and constants. To find the product of (8-6b)(5-3b), we need to use the distributive property of multiplication.

We can start by multiplying 8 by 5, which gives us 40. Next, we multiply 8 by -3b, which gives us -24b. Then, we multiply -6b by 5, which gives us -30b. Finally, we multiply -6b by -3b, which gives us\(18b^2\).

Putting all of these terms together, we get:
(8-6b)(5-3b) = \(40 - 24b - 30b + 18b^2\)

Simplifying this expression, we can combine the like terms -24b and -30b to get -54b. So the final answer is:
(8-6b)(5-3b) = \(18b^2 - 54b + 40\)

Therefore, the product of (8-6b)(5-3b) is  \(18b^2 - 54b + 40\).

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The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

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Answer:

y=2/x+3

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

a)

P(A or Black) = (73 + 27)/127 = 100/127 =  0.7874015748

b)  

P(Red) = red/total = 39/127 = 0.30708661417

c)

P(Manufacturer B and Red) = (B and red)/total = 10/ 127 = 0.0787401575

d)

P(Manufacturer B or Red) = (B or red)/total = (54 + 29)/127 = 0.65354330708

Answer:

thanka for points

Step-by-step explanation:

pa branlest answer po

Answer 980.806

Step-by-step explanation:

Hope I helped you!!!

The two ways of expressing the null hypothesis for a hypothesis test of difference of means for two independent populations x1 and x2 are: H0: μ1 = μ2 or H0: μ1 – μ2 = 0.

In hypothesis testing, the null hypothesis (H0) represents the statement of no difference or no effect. It assumes that there is no significant difference between the means of the two populations or that their means sum to zero.

Option a expresses the null hypothesis using the equality of the population means (μ1 = μ2) or the equality of the sum of the population means (μ1 + μ2 = 0). This implies that there is no difference between the means or that the combined mean is zero.

Option c also expresses the null hypothesis using the equality of the population means (μ1 = μ2) or the equality of their difference (μ1 – μ2 = 0). This suggests that there is no difference between the means or that their difference is zero

Both ways of expressing the null hypothesis convey the same idea of no difference between the means, but they differ in the form of the mathematical expression used.

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