(x/5)- (5+x)/20=7/16

Answer:

Multiply 7*3

.

5

x√x21

your answer is 5x in square root power of 21

Answer: The correct equation to use is, C. 10,000 ÷ 2,000

Which simplifies to: 5

Therefore, it will take 5 days for the mountain climber to descend from an elevation of 10,000 feet to sea level, assuming they descends at a constant rate of 2,000 feet per day.

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Answer:

The appropriate solution is "570". The further explanation is given below

Step-by-step explanation:

(1)

Choosing the right 1 member out of 5 seniors throughout the state.  

The remaining 2 candidates would be chosen from some of the other 13 committee members within a week of choosing 1 member from either the 5 in-state representatives.

So, throughout this case, the number among approaches p is supplied by:

⇒  \(p=5C_1\times 13C_2\)

       \(=5\times 78\)

       \(=390\)

(2)

Choosing the right one person of the legislature out of three non-senior members of the state  

In this scenario, as already mentioned, the second participant needs to be chosen from the 5 qualified out-of-state citizens. Currently that we would have chosen 2 members out of 14 members in all, the 3rd member should be chosen out of another leftover 12 people.  

Therefore, the amount of forms, throughout this case q, seems to be:

⇒  \(q=3C_1\times 5C_1\times 12C_1\)

       \(=3\times 5\times 12\)

       \(=180\)    

So that the total no. of ways will be:

⇒  \(p+q\)

⇒  \(390+180\)

⇒  \(570\)

Answer:

b. Infinite solutions

Step-by-step explanation:

3y = 3x + 15----->y = x + 5

x + 5 - x = 5, so we have infinite solutions.

Tamisha needs 5 lengths of the 8-foot border to put around her bedroom.

To calculate the number of lengths of the border Tamisha needs for her bedroom, we can determine the perimeter of the room and divide it by the length of each border available.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the length of the room is 11 feet and the width is 9 feet.

Perimeter = 2(length + width)

Perimeter = 2(11 + 9)

Perimeter = 2(20)

Perimeter = 40 feet

Now, we divide the perimeter by the length of each border available, which is 8 feet.

Number of lengths needed = Perimeter / Length of each border

Number of lengths needed = 40 feet / 8 feet

Number of lengths needed = 5 lengths

To calculate the number of lengths of the border Tamisha needs for her bedroom, we can determine the perimeter of the room and divide it by the length of each border available.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the length of the room is 11 feet and the width is 9 feet

Perimeter = 2(length + width)

Perimeter = 2(11 + 9)

Perimeter = 2(20)

Perimeter = 40 feet

Now, we divide the perimeter by the length of each border available, which is 8 feet.

Number of lengths needed = Perimeter / Length of each border

Number of lengths needed = 40 feet / 8 feet

Number of lengths needed = 5 lengths

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Answer:

(2,0) or (2, -4)

Step-by-step explanation:

Hope that helps!

Answer:45%

Step-by-step explanation:

Answer:

17 feet

Step-by-step explanation:

a² + b² = c²

a² + 6² = 15²

a² + 36 = 225

a² = 189

a = 17

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

$ 7.9

Step-by-step explanation:

Amount of bill = $52.87 = $52.9

Amount of tip = 15% of $52.9

\( = \frac{15}{100} \times 52.9 \\ \\ = 0.15 \times 52.9 \\ = 7.935 \\ = \$ \: 7.9 \\ \)

Answer:

Step-by-step explanation:

In a regular pentagon, all the angles and sides are equal. So, to find an angle, divide 540 by 5.

Sum of all angles of regular pentagon = 540

measurement of one angle = 540 ÷ 5

                                             = 108°

∠N = 108°

Answer:

B

Step-by-step explanation:

Answer:

enter traverse Does the middle traverse indeed bisect the triangle?

Angles In the triangle ABC, the ratio of angles is: a:b = 4: 5. ...

Triangle P2 Can a triangle have two right angles?

Diagonal Can be a diagonal of diamond twice longer than it side?

Similarity coefficient The triangles ABC and A "B" C "are similar to the similarity coefficient 2. ...

That how u find the area

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Answer;

The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

The correct answer is:

C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

The student set up a hypothesis test to investigate whether there is evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The null hypothesis is that the proportion is 0.5, and the alternative hypothesis is that it differs from 0.5.

The student obtained a standardized test statistic of z = -0.80 and a P-value of 0.2119.

To make a conclusion, the student needs to compare the P-value to the significance level α.

The significance level is given as 0.10, which means that the student is willing to accept a 10% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Since the P-value of 0.2119 is greater than α = 0.10, there is not convincing evidence to reject the null hypothesis. Therefore, the student cannot conclude that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

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Answer:

V= πr2h = π·182·3≈ 3053ft³

V = 3053ft³

Answer:

yes

Step-by-step explanation:

Answer:

anime girl

Step-by-step explanation:

anime girl

\(5.5b\leq 10.89\)

Divide both sides by 5.5:

\(\dfrac{5.5b}{5.5} \leq \dfrac{10.89}{5.5}\)

Answer:

\(b\leq 1.98\)

Answer:

b ≤ 1.98

Step-by-step explanation:

Given equation,

→ 5.5b ≤ 10.89

Now the value of b will be,

→ 5.5b ≤ 10.89

→ b ≤ 10.89 ÷ 5.5

→ [ b ≤ 1.98 ]

Hence, value of b is 1.98.

Answer: Choice A) \(\frac{5y^3}{x^2z^{12}}\)

This is the fraction \(5y^3\) over \(x^2z^{12}\)

====================================================

Work Shown:

\(\frac{20xy^4z^{12}}{4x^3yz^{24}}\\\\\frac{20}{4}*\frac{x}{x^3}*\frac{y^4}{y}*\frac{z^{12}}{z^{24}}\\\\5x^{1-3}y^{4-1}z^{12-24}\\\\5x^{-2}y^{3}z^{-12}\\\\5*\frac{1}{x^2}*y^{3}*\frac{1}{z^{12}}\\\\\frac{5y^3}{x^2z^{12}}\)

Answer:

It is the first one. 5y^3/x^2z^12

Step-by-step explanation:

First, divide each component by its self

1. 20/4=5

2. x/x^3 1/x^3 You divide exponents by subtracting them.

3. y^4/y = Y^3

4. z^12/z^24= 1/z^24

5. Then put all of it into the same equation. 5y^3/x^2z^12

Answer:

A. y - 10 = 6(x - 2)

y - 20 = -2(x + 3)

Step-by-step explanation:

The first equation given the following points (-2, -14) and (2, 10):

Slope (m) = ∆y/∆x = (10 -(-14)) / (2 - (-2)) = 24/4= 6

Using the highlighted point and the slope, we can write an equation for this by substituting (a, b) = (2, 10) and m = 6 into y - b = m(x - a)

Thus:

y - 10 = 6(x - 2)

The second equation given the following points (-3, 20) and (5, 4):

Slope (m) = ∆y/∆x = (4 - 20) / (5 - (-3)) = -16/8 = -2

Using the highlighted point and the slope, we can write an equation for this by substituting (a, b) = (-3, 20) and m = -2 into y - b = m(x - a)

Thus:

y - 20 = -2(x - (-3))

y - 20 = -2(x + 3)

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

D; y=125.3x2+257.8x+183.3

Step-by-step explanation:

I just took the test

have a good day! :)

Answer:

m = 1/3 and b = - 4

Step-by-step explanation:

The equation already gives the answer as the equation is in slope-intercept form.

\(y = mx + b\)

Where m = slope and b = y-intercept.

From the equation —

\(y = \frac{1}{3} x - 4 \\ m = \frac{1}{ 3} \\ b = - 4\)

Therefore, our slope is 1/3 and y-intercept is - 4.

One width and one length is half the perimeter.

90/2 = 45

Let the width = X

the length is 2 times the width so 2X

The sum of the two equals 45"

2X + X = 45

Simplify:

3x = 45

Divide both sides by 3:

x = 15

The width is 15 inches

Length = 30 inches.

Area = Length x width = 15 x 30 = 450 in^2

The area 450 in^2

The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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Answer:

0.0015 = 0.15% probability that if the motel books 150 guests, not enough seats will be available.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\), if \(np \geq 10\) and \(n(1-p) \geq 10\).

150 guests booked:

This means that \(n = 150\)

85% of booked guests show up for their room.

This means that \(p = 0.85\)

Is the normal approximation suitable:

\(np = 150(0.85) = 127.5\)

\(n(1-p) = 150(0.15) = 22.5\)

Both greater than 10, so yes.

Mean and standard deviation:

\(\mu = E(X) = np = 150*0.85 = 127.5\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{150*0.85*0.15} = 4.3732\)

Find the probability that if the motel books 150 guests, not enough seats will be available.

More than 140 show up, which, using continuity correction, is \(P(X > 140 + 0.5) = P(X > 140.5)\), which is 1 subtracted by the p-value of Z when X = 140.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{140.5 - 127.5}{4.3732}\)

\(Z = 2.97\)

\(Z = 2.97\) has a p-value of 0.9985.

1 - 0.9985 = 0.0015.

0.0015 = 0.15% probability that if the motel books 150 guests, not enough seats will be available.

Rewriting the point-slope equation of the line, the equation of the line that is parallel to the given line is: y = 1/5x + 12/5.

The point-slope equation is given as y - b = m(x - a), where m is the slope (change in y/change in x), and (a, b) is a point.

Find the slope of the line that passes through, (-5, -4) and (0, -3):

Slope = change in y/change in x = (-3 -(-4)) / (0 -(-5)) = 1/5

Slopeof parallel lines are equal, teherfore, the slope of the line that passes through (-2, 2) would be 1/5.

Substitite (a, b) = (-2, 2) and m = 1/5 into y - b = m(x - a):

y - 2 = 1/5(x -(-2)

y - 2 = 1/5(x + 2)

Rewroite in slope-inetrcept form

y - 2 = 1/5x + 2/5

y = 1/5x + 2/5 + 2

y = 1/5x + 12/5

Therefore, rewriting the point-slope equation of the line, the equation of the line that is parallel to the given line is: y = 1/5x + 12/5.

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The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

Answer:

=18/20

Step-by-step explanation:

• 25 - 7 = 18

• 30 - 10 = 20

= 18/20

if u reduce = 9/10

Answer:

10 *2= 20

2 * 9 =10

2*2=4

4+18+20 =42

42 units squared

Step-by-step explanation:

The area of shaded region will be 42 \(units^{2}\).

It is given that there are two rectangles in the given fig.

We have to find out the area of the shaded region.

What is the formula for area of rectangle ?

The formula is Area of rectangle (A) = Length (L) × Width (B)

∵ Area of rectangle (A) = Length (L) × Width (B)

Area of rectangle 1 which has , L= 11 units and B = 12 units is ;

\(A_{1}\) = 11 × 12 = 132 \(units^{2}\).

Similarly , the area of rectangle which has , L = 9 units & B = 10 units is ;

\(A_{2}\) = 9 × 10 = 90 \(units^{2}\).

The area of shaded region can be find out by subtracting area of smaller rectangle from area of larger rectangle.

Area of shaded region will be ;

132 \(units^{2}\). - 90 \(units^{2}\) = 42 \(units^{2}\).

Thus the area of shaded region will be 42 \(units^{2}\).

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