If 8 pair of jeans cost 221.50 find the cost of 7 pairs

The length of bc is 8. The result is obtained by using the concept of conditions for similar triangles.

For two or more similar triangles, it has two conditions.

A right triangle abc with altitude bd drawn to hypotenuse ac has the length of sides as follow

Find the length of bc!

Observe the picture of triangles in the attachment! If we drawn a perpendicular line to the hypotenuse, we'll have three similar triangles.

The corresponding sides of the two triangles are

\(\frac{\overline{ac}}{\overline{bc}} = \frac{\overline{bc}}{\overline{dc}} = \frac{\overline{ab}}{\overline{bd}}\)

The length of bc is

\(({\overline{bc})^{2} = \overline{ac} \times {\overline{dc}\)

\(({\overline{bc})^{2} = 16 \times 4\)

\(({\overline{bc})^{2} = 64\)

\({\overline{bc} = \sqrt{64}\)

\({\overline{bc} = 8\)

Hence, the length side of bc on the right triangle is 8.

Learn more about length side of similar triangles here:

brainly.com/question/24273594

#SPJ4

Answer:

The range is 8.

Step-by-step explanation:

5-(-3)=8

Answer:

The final price of the jacket is $40.95.

Step-by-step explanation:

65.00 * 40% = 26

65.00 - 26 = 39

39 * 5% = 1.95

39 + 1.95 = 40.95

The annual premium of Susie's insurance company apply as a result of accident is $255 for an year. This is because the monthly insurance payment has been increased by $21.25.

What is Health insurance?

Health insurance or the medical insurance is an insurance which covers the whole or a part of the risk of a person which is incurring the medical expenses. Depending upon the health insurance plan, the risk is shared among many individuals.

Main body:

The increase in monthly insurance payment = $21.25

So, the annual increase in the premium amount paid by Susie will be:

Monthly increase in insurance payment × 12

(As there are 12 months in an year)

Annual increase in premium amount = $21.25 × 12

Annual increase in premium amount = $255

Therefore, the annual increase in the amount of premium paid by Susie for health insurance is $225.

Learn more about Health insurance here:

brainly.com/question/29042328

#SPJ4

From the diagram given

1. Inscribed angle of the circle

2. AC is a tangent to the circle

3. HI is a chord of the circle

4. L is the center of the circle

5. GEH is a major arc

6. HL is the radius of the circle

7. central angle

8. central angle

9. BD is a secant

10. GHI is a semi-circle

The option that is the better deal between both deals for apples, is 8 apples for $9.25.

The better deal on the apples would be the deal that gives the lower amount per apple. This means that the deal that leads to each individual apple having a lower price is the deal that should be considered best.

To find the price of an apple, you would need to divide the price of the deal given, by the number of apples in the deal.

The first deal would therefore have a per apple price of :

= Price of deal / Number of apples

= 6. 25 / 5 apples

= $ 1. 25 per apple

The second deal would be :

= Price of deal / Number of apples

= 9. 25 / 8 apples

= $ 1. 16 per apple

The better deal is therefore 8 apples for $9.25.

Find out more on deals at https://brainly.com/question/3021946

#SPJ1

Answer:

Lim
x - 1

Step-by-step explanation:

(x-1)
(|x-1|)

The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.

In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.

In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.

Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.

Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.

Learn more about Expression click here :brainly.com/question/24734894

#SPJ11

Answer: an acute angle so it bout 55

Step-by-step explanation:

Answer:

Max area = 100

10 10 sides

Step-by-step explanation:

here given perimeter for fencing is 40 feet

for it to have maximum area sides

sides length is perimeter / 4

so l = 40/4 = 10

so it is 10 × 10 square

Area = 100

This is the maximum area

By calculating, The value of x from the given right angled triangle is 26.4

What is Tanx ?

Tanx can be defined as the ratio of sinx and cosx and it is also defined as the ratio of opposide side and hypothenuse in a given right angled triangle.

26.4° (nearest tenth)

sinx = opp/hyp

Put the given values opp = 4 and hyp=9

we get,

sinx = 4/9

x = sin^-1 ( 4/9)

So, by Taking the inverse of sine on both sides

we get,

x= 26.4° (nearest tenth)

Therefore, By calculating, The value of x from the given right angled triangle is 26.4

To learn more about Tanx from the given link.

https://brainly.com/question/13329070

#SPJ1

The expected rate of return on the common stock of CrisisGreat is 4.43%.

To calculate the expected rate of return on the stock of CrisisGreat, we need to use the formula:

Expected rate of return = (Probability of recession * Rate of return in recession) + (Probability of normal economy * Rate of return in normal economy) + (Probability of boom * Rate of return in boom)

Let's plug in the given values:

Therefore, the expected rate of return on the common stock of CrisisGreat is 4.43%.

Learn more about rate of return

brainly.com/question/24232401

#SPJ11

The value of x for which the demand reaches the value of 80 units and that the relative error is less than 5% is approximately 4.1816 months

To find the value of x for which the demand reaches the value of 80 units, we need to solve the equation

d(x) = 80

Substitute d(x) = 80 in the given demand equation

\(20xe^-0.075x = 80\)

Divide both sides by 20

\(xe^-0.075x = 4\)

Take the natural logarithm of both sides

\(ln(x) - 0.075x = ln(4)\)

Let \(f(x) = ln(x) - 0.075x - ln(4)\).  find the value of x for which f(x) = 0.

The formula for Newton's method to approximate x is

\(x_n+1 = x_n - f(x_n) / f'(x_n)\)

where xₙ is the nth approximation of the root, and f'(x) is the derivative of f(x).

By starting with an initial approximation of x₀ = 1.

The derivative of f(x) is

f'(x) = 1/x - 0.075

Now,

\(x_1 = x_0 - f(x_0) / f'(x_0)\\= 1 - (ln(1) - 0.075(1) - ln(4)) / (1/1 - 0.075)\)

= 2.6448

Using x₁ as the new approximation

x₂ = x₁ - f(x₁) / f'(x₁)

= 2.6448 - (ln(2.6448) - 0.075(2.6448) - ln(4)) / (1/2.6448 - 0.075)

= 4.0299

Using x₂ as the new approximation

x₃ = x₂ - f(x₂) / f'(x₂)

= 4.0299 - (ln(4.0299) - 0.075(4.0299) - ln(4)) / (1/4.0299 - 0.075)

= 4.1768

Using x₃ as the new approximation

x₄ = x₃ - f(x₃) / f'(x₃)

= 4.1768 - (ln(4.1768) - 0.075(4.1768) - ln(4)) / (1/4.1768 - 0.075)

= 4.1816

The approximate relative error can be calculated as

| (x₄ -  x₃) / x₄ | × 100%

| (4.1816 - 4.1768) / 4.1816 | × 100% = 0.0115%

Since the approximate relative error is less than 5%, we conclude that the value of x for which the demand reaches the value of 80 units is approximately 4.1816 months.

Learn more on Newton's method on https://brainly.com/question/31961315

#SPJ4

Answer: 4.4 per minute?

Step-by-step explanation:

dividing 53.5 by 12?

Option 2 is correct that is 1.79

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3).

The quartiles formula is as follows:

Upper Quartile (Q3) = 3/4(N+1)

Lower Quartile (Q1) = (N+1) * 1/3

Middle Quartile (Q2) = (N+1) * 2/3

Interquartile Range = Q3 -Q1,

1.74, 0.24, 1.56, 2.79, 0.89, 1.16, 0.20, and 1.84 are available.

Sort the data as follows: 0.20, 0.24, 0.89, 1.16, 1.56, 1.74, 1.84, 2.79 in ascending order of magnitude.

The data set has 8 values.

hence, n = 8; third quartile: 3/4 (n+1)th term

Q3 =3/4 of a term (9) term

Q3 =27/4 th term

Q3 = 1.74 + 1.84 / 2 (average of the sixth and seventh terms)

equals 1.76

Thus Q3 is 1.76 that is option 2

To know more about third quartile click the link:

brainly.com/question/24329548

#SPJ1

The sum of the first five terms of a geometric series is 242/27

The given parameters are

a1 = 6

r = 1/3

The sum of the first five terms of a geometric series is represented as;

Sn =a * (1 - r^n)/(1 - r)

This gives

S5 = 6 * (1 - (1/3)^5)/(1 - 1/3)

Evaluate the exponent

S5 = 6 * (1 - 1/243)/(2/3)

Evaluate the difference

S5 = 6 * (242/243)/(2/3)

This gives

S5 = 2 * (242/81)/(2/3)

So, we have:

S5 = 2 * (242/81) * 3/2

Evaluate the product

S5 = 242/27

Hence. the sum of the first five terms of a geometric series is 242/27

Read more about geometric series at

https://brainly.com/question/24643676

#SPJ1

a. The 99% confidence interval for the average body temperature of healthy people is (98.024, 98.476) degrees.  b )   we can conclude that there is evidence to suggest that the average body temperature of healthy people is different from 98.6 degrees.

a) To calculate the 99% confidence interval for the average body temperature of healthy people, we can use the formula:

Confidence interval = mean ± (critical value) * (standard deviation / √n)

Where:

Mean is the sample mean (98.25 degrees)

Standard deviation is the sample standard deviation (0.73 degrees)

n is the sample size (130)

The critical value for a 99% confidence level is 2.61 (obtained from the t-distribution table for a large sample size)

Plugging in the values, we get:

Confidence interval = 98.25 ± (2.61 * (0.73 / √130))

Confidence interval = 98.25 ± 0.226

Confidence interval = (98.024, 98.476)

b) The confidence interval obtained in part (a) does not contain the value 98.6 degrees. Since the accepted average temperature cited by physicians and others is not within the confidence interval, we can conclude that there is evidence to suggest that the average body temperature of healthy people is different from 98.6 degrees. The sample data suggests that the average body temperature is lower than the commonly accepted value.

Learn more about standard deviation visit:

brainly.com/question/29115611

#SPJ11

Based on the dotplots, it can be concluded that the number of snacks grabbed for class A has less variability than the number of snacks grabbed for class B.

The dotplots show the number of snacks grabbed by students in two statistic classes. To determine the variability of the number of snacks grabbed in each class, we can analyze the spread of the data displayed in the dotplots.

In class A, with 32 students, the dotplot shows a relatively narrow spread of data. The dots are concentrated in a smaller range, indicating less variability in the number of snacks grabbed by the students. This suggests that the students in class A have a similar behavior when it comes to grabbing snacks with one hand.

In class B, with 34 students, the dotplot displays a wider spread of data. The dots are more scattered and distributed over a larger range, indicating higher variability in the number of snacks grabbed by the students. This suggests that the students in class B have a wider range of behaviors when it comes to grabbing snacks with one hand, with some students grabbing more snacks and others grabbing fewer snacks.

Overall, based on the dotplots, we can conclude that the number of snacks grabbed for class A has less variability compared to the number of snacks grabbed for class B.

Learn more about variability here:

brainly.com/question/15078630

#SPJ11

Step-by-step explanation:

19=5x-2 19+2=5x 21=5x 21÷5=x x=4.2

To find the volume of the tetrahedron, we need to set up a double integral. Since the tetrahedron is bounded by the coordinate planes and the plane 3x + 6y + 4z - 12 = 0, we can set up the following bounds:

0 ≤ x ≤ 2
0 ≤ y ≤ (2 - x)/3
0 ≤ z ≤ (12 - 3x - 6y)/4

The volume of the tetrahedron can be found by integrating 1 with respect to x, y, and z over these bounds:

V = ∫∫∫ 1 dz dy dx
   0≤z≤(12-3x-6y)/4
   0≤y≤(2-x)/3
   0≤x≤2

This integral can be simplified by first integrating with respect to z:

V = ∫∫ (12-3x-6y)/4 dy dx
   0≤y≤(2-x)/3
   0≤x≤2

V = ∫ [(12-3x)(2-x)/8 - 3(2-x)²/48] dx
   0≤x≤2

V = ∫ (3x² - 14x + 16)/24 dx
   0≤x≤2

V = [(x³/8) - (7x²/24) + (4x/3)]₀²

V = [(2³/8) - (7(2)²/24) + (4(2)/3)] - [(0³/8) - (7(0)²/24) + (4(0)/3)]

V = (8/3) cubic units

Therefore, the volume of the tetrahedron is (8/3) cubic units.

First, let's correct the equation of the plane to make it consistent. I assume it should be 3x + 6y + 4z - 12 = 0.

To find the volume of the tetrahedron bounded by the coordinate planes and the plane 3x + 6y + 4z - 12 = 0, we can use a double integral. First, we need to find the intercepts for the x, y, and z-axes:

1. x-intercept: Set y = 0 and z = 0, then 3x = 12, so x = 4.
2. y-intercept: Set x = 0 and z = 0, then 6y = 12, so y = 2.
3. z-intercept: Set x = 0 and y = 0, then 4z = 12, so z = 3.

Now we have the vertices of the tetrahedron: (4, 0, 0), (0, 2, 0), and (0, 0, 3). To find the volume, we will use a double integral over the region R in the xy-plane formed by these vertices:

∫∫R (1/4)(12 - 3x - 6y) dy dx

The limits of integration for x are from 0 to 4. To find the limits for y, we use the equation of the line connecting the points (4, 0) and (0, 2) in the xy-plane: y = (1/2)(4 - x). So, the limits of integration for y are from 0 to (1/2)(4 - x).

Now we can set up the double integral:

∫(x=0 to 4) ∫(y=0 to (1/2)(4-x)) (1/4)(12 - 3x - 6y) dy dx

After evaluating this double integral, you will get the volume of the tetrahedron.

Learn more about volume here: brainly.com/question/1578538

#SPJ11

Answer:

\(\boxed {\boxed {\sf y-7= -2 (x-4)}}\)

Step-by-step explanation:

We have a point and the slope, so we can use the point-slope formula.

\(y-y_1=m(x-x_1)\)

Where m is the slope and (x₁, y₁) is the point the line passes through.

We know the slope of the line is -2 and the point it passes through is (4, 7).

Substitute the values into the formula.

\(y-7= -2 (x-4)\)

We are asked to write the equation in point-slope form, so this is our final answer.

The equation of the line in point-slope form is: y-7= -2 (x-4)

Answer:

the answer is -22

Step-by-step explanation

The average rate at which Mr. Blade types is 30 words per minute.

Average or mean is a measure of central tendency where it defines the central number of a data set.

Average is calculated by dividing the total sum of the values of the dat set divided by the frequency or the number of data in the set.

Mr. Adi takes 9 minutes.

The average rate of Mr. Adi is 40 words per minute.

So in 9 minutes he writes 40 × 9 = 360 words in total.

Mr. Blade typed the same number of words.

he took 12 minutes to type it.

So average rate = total words typed ÷ time taken (in minutes)

Average rate= 360 ÷ 12 =30 words per minute.

Hence Mr. Blade writes at the average rate of 30 words per minute.

To learn more about average rate visit:

https://brainly.com/question/23715190

#SPJ9

Answer:

6.96/12

= 0.58

Step-by-step explanation:

each donut costs $0.58. you can check the work by plugging 12 in for x.  (0.58x)

i hope this helps :)

Veremos que el volumen total que cabe en el pilón es 2,800 m^3

Sabemos que el pilón tiene una capacidad máxima V.

Tambíen sabemos que de momento, el pilón tiene 1,600 m^3 de agua, y esto es equivalente a 4/7 de la capacidad máxima.

Entonces podemos plantear:

(4/7)*V = 1,600m^3

Podemos resolver esta ecuación para V si multiplicamos ambos lados por (7/4), así obtenemos:

V = (7/4)*1,600m^3 = 2,800 m^3

Es decir, el volumen total que cabe en el pilon es 2,800m^3

Sí quieres aprender más, puedes leer:

https://brainly.com/question/19129107

Answer:

x = 2, use formula of area of triangle by talking x as base and 5 as height.

The simplified form of the expression (3)/(x + 8) + (1)/(x^2 - 64) is (3x - 23)/((x + 8)(x - 8)). To perform the addition and simplify the expression (3)/(x+8) + (1)/(x^2 - 64), we need to find a common denominator and combine the fractions.

The first step is to factor the denominator of the second fraction, x^2 - 64. This expression can be factored as the difference of squares: x^2 - 64 = (x + 8)(x - 8).

Now, let's find the least common denominator (LCD) of the two fractions. The LCD is the smallest multiple of the denominators (x + 8) and (x + 8)(x - 8). In this case, the LCD is (x + 8)(x - 8).

Next, we need to rewrite the fractions with the LCD as the denominator:

(3)/(x + 8) + (1)/(x^2 - 64) = (3 * (x - 8))/((x + 8)(x - 8)) + (1)/((x + 8)(x - 8))

Now that we have the fractions with a common denominator, we can combine them:

(3 * (x - 8) + 1)/((x + 8)(x - 8))

Simplifying further, we have:

(3x - 24 + 1)/((x + 8)(x - 8)) = (3x - 23)/((x + 8)(x - 8))

Therefore, the simplified form of the expression (3)/(x + 8) + (1)/(x^2 - 64) is (3x - 23)/((x + 8)(x - 8)).

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ11

Answer:

6x+12

Step-by-step explanation:

5 + 2x + 7 + 4x

2x + 4x = 6x

5 + 7 = 12

6x + 12

Answer: 13.25 ft below the water

Step-by-step explanation:

\(-25.5+12 \frac{1}{4}\\\\=-25.5+12.25\\\\=-13.25\)

Answer:

55 centimeters

Step-by-step explanation:

It is a right triangle which means it will add up to 90 degrees. You would start by adding 20 and 15 which is 35 and then subtract 35 from 90 to get 55. I hope this helped :)

\(\sf\pink{c\:=\:25\:centimetres}\) ✅

Step-by-step explanation:-

\(\sf\purple{Using\:Pythagoras\:theorem, \:we \:have}\)

\(({Perpendicular})^{2} + ({Base})^{2} = ({Hypotenuse})^{2} \\ ➪\:( {15 \: cm})^{2} + ({20 \: cm})^{2} = {c}^{2} \\ ➪ \: {c}^{2} = 225 \: {cm}^{2} + 400 \: {cm}^{2} \\ ➪ \: {c}^{2} = 625 \: {cm}^{2} \\ ➪ \: c \: = \sqrt{625 \: {cm}^{2} } \\ ➪ \: c \: = \sqrt{25 \times 25 \: {cm}^{2} } \\ ➪ \: c = \sqrt{ ({25 \: cm})^{2} } \\ ➪ \: c \: = 25 \: cm\)

\({\boxed{\mathcal{\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:25\:cm.}}}}\)

\(\boxed{Note:-}\)

\(\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆\)