On a​ map, 1 inch equals 20 miles. Two cities are 6 inches apart on the map. What is the actual distance between the​ cities?

Answer:

she messed up at -17=34x

Step-by-step explanation:

she added 8x to each side but she was actually supposed to subtract

The error is 8(x - 3) + 7 = 2x(13) and -17 = 34x.

4 - 17 = -13, not 13

8x - 17 = 26x

-17 = 26x -8

-17 = 18x ( it should be like this, but this is still wrong because it should -26)

The solution is:

8(x - 3) + 7 = 2x(4 - 17)

8(x - 3) + 7 = 2x(-13)

8x - 24 + 7 = -26x

8x - 17 = -26x

8x + 26x = 17

34x = 17

x = 17/34

x = 1/2

Hope it helps!

ANSWER:

STEP-BY-STEP EXPLANATION:

The right angles fulfill the Pythagorean theorem which is the following

We evaluate each option, replacing:

Answer:

∠ 2 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are corresponding angles and congruent, thus

∠ 2 = ∠ 1 = 40°

Answer:

4.75

Step-by-step explanation:

19 divided by 4 is 4.75

Answer:

4.75

Step-by-step Explaination:

4×4=16

4×5=20

In 4 parts(.25, .50, .75, 20) 3rd is .75 so 4.75

Hope this will help you

if it is helpful please mark me as brainliest

Step-by-step explanation:

It is a square so the sides are all equal

area = side  X side

      =   6 mm  X 6 mm = 36 mm^2

Here is the summary of the relation J on all integers:

a. 1 J 2 : No

b. 2 J 1 : Yes

c. 3 J 6 : Yes

d. 17 J 51 : No

e. Another example of x and y in relation J: 4 J 12 (4 is related to 12 under relation J)

To define a relation J on all positive integers is following:

a. No, 1 is not a factor of 2, so 1 does not divide 2.

Therefore, 1 is not related to 2 under relation J.

b. Yes, 2 is a factor of 1 (specifically, 2 divides 1 zero times with a remainder of 1), so 2 divides 1.

Therefore, 2 is related to 1 under relation J.

c. Yes, 3 is a factor of 6 (specifically, 3 divides 6 two times with a remainder of 0), so 3 divides 6.

Therefore, 3 is related to 6 under relation J.

d. No, 17 is not a factor of 51, so 17 does not divide 51.

Therefore, 17 is not related to 51 under relation J.

e. Let's choose x = 4 and y = 12.

Then we need to check if x divides y. We can see that 4 is a factor of 12 (specifically, 4 divides 12 three times with a remainder of 0), so 4 divides 12.

Therefore, 4 is related to 12 under relation J.

To summarize:

Learn more about positive integers

brainly.com/question/26051073

#SPJ11

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

For more such questions on final cost

https://brainly.com/question/29509552

#SPJ8

If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

Learn more about value here:

https://brainly.com/question/30145972

#SPJ11

Answer:

Step-by-step explanation:

15y + 9 = 15y - 20

0 ≠ -29

no solution

Answer:

x^2 + 10

Step-by-step explanation:

No, The 3 house do not form of a right triangle because,

⇒ 1.2² + 1.9² < 2.4²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We know that;

Right triangle is satisfy the Pythagoras theorem.

If the sides of triangle are a, b and c.

Hence, We get;

⇒ a² + b² = c²

Here, The three distance are 1.2, 1.9 and 2.4.

Hence, We get;

⇒ 1.2² + 1.9²

⇒ 5.05

⇒ 2.4²

⇒ 5.76

Thus, We get;

⇒ 1.2² + 1.9² < 2.4²

Hence, The 3 house do not form of a right triangle because,

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer: 23.25 meters on each roll

Step-by-step explanation:

simple division

The angular velocity of the circle is approximately 19 m/s.

In order to find the missing quantity, we can use the relationship between linear velocity and angular velocity in a circle. The linear velocity of a point on the edge of a circle is the product of the radius and the angular velocity. This can be expressed as:

v = r * w

where v is the linear velocity, r is the radius, and w is the angular velocity.

To find the value of w, we can rearrange this equation to solve for w:

w = v / r

Substituting the given values of v and r, we get:

w = 1235 m/min / 65 m

w = 19 m/s

It's important to note that units must be consistent when using formulas to solve problems. In this case, we converted the given linear velocity from m/min to m/s before plugging it into the formula. Also, we rounded the answer to the nearest tenth, as instructed, since the given values were rounded to the nearest unit.

To learn more about angular velocity

https://brainly.com/question/29557272

#SPJ4

Answer:

2 over 3

Step-by-step explanation:

Answer:

She get 84% right

Step-by-step explanation:

42 x 2 = 84

50 x 2 = 100

Answer:

84%

this is the picture of how I solved it.

hope you understand.

The probability that the sample mean is greater than 2.3 but less than 2.7 is  0.0000000000000000000000000000000000019. This can be found by determining the probability that each individual observation falls within this range.

Given that X has a discrete uniform distribution, where each value has a probability of 1/4, we can calculate the probability of the sample mean falling within the specified range.

Since X follows a discrete uniform distribution with probabilities of 1/4 for each value (1, 2, 3, and 4), we need to find the probability that the sample mean falls between 2.3 and 2.7, considering measurement to the nearest tenth. To do this, we determine the probability of each individual observation falling within the range and then calculate the probability of the sample mean falling within the range.

In this case, the range can be rounded to the nearest tenth as (2.3, 2.4, 2.5, 2.6, 2.7). Since the values 2.4, 2.5, and 2.6 fall within the specified range, the probability of each of these individual observations occurring is 1/4.

To find the probability of the sample mean falling within the range, we need to account for the fact that it is the average of n observations. Since n = 36, the sample mean is the average of 36 observations. Therefore, the probability of the sample mean falling within the range of 2.3 to 2.7 is given by:

Probability = (Probability of each individual observation)^n

=\((1/4)^36\)

≈ 0.0000000000000000000000000000000000019 (rounded to decimal form)

Thus, the probability that the sample mean is greater than 2.3 but less than 2.7, assuming measurement to the nearest tenth, is approximately 0.0000000000000000000000000000000000019.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

Answer:

Step-by-step explanation:

Let's start with some conversions

Remember that when you go to the negative side of the reals, the number that looks like it should be the largest, when negative is the smallest.

Answers

The smallest number of these three is -10.909

The second smallest is -10.777... repeat

The third smallest is -√113 which is -10.6301

The Largest one of the four is 10.7

Answer:

f⁻¹(x) = 1/2 x + 2

Step-by-step explanation:

f(x) = 2x - 4      y=2x - 4

swap x and y:  x = 2y - 4

solve y:   2y = x + 4

y = 1/2 x + 2

Inverse notation:   f⁻¹(x) = 1/2 x + 2

a) The sampling distribution of p can be approximated as a normal distribution with mean μp = .17 and standard deviation σp = .0203.

b) The probability that the sample proportion will be within ±.02 of the population proportion is 0.6778

In statistics, sampling distribution plays a crucial role in estimating the parameters of a population. The sampling distribution helps us to understand the probability distribution of sample statistics that we obtain by taking random samples from a population.

a) In this case, we are interested in the proportion of households that spend more than $100 per week on groceries, denoted by p. We know that the population proportion is p = .17, and a sample of 800 households will be selected from the population.

The central limit theorem states that if the sample size is large enough (in this case, n = 800), then the sampling distribution of p will be approximately normal with a mean of p and a standard deviation of:

σp = √(p(1-p)/n)

where p is the population proportion, and n is the sample size. Plugging in the values, we get:

σp = √(.17(1-.17)/800) = .0203

b) Now, we want to find the probability that the sample proportion will be within ±.02 of the population proportion. That is, we want to find P(.15 ≤ p ≤ .19).

To calculate this probability, we need to standardize the distribution using the z-score formula:

z = (p - μp) / σp

Plugging in the values, we get:

z = (.15 - .17) / .0203 = -0.9867

z = (.19 - .17) / .0203 = 0.9867

Using a standard normal distribution table or calculator, we can find the probabilities corresponding to these z-scores:

P(z ≤ -0.9867) = 0.1611

P(z ≤ 0.9867) = 0.8389

Therefore, the probability that the sample proportion will be within ±.02 of the population proportion is:

P(.15 ≤ p ≤ .19) = P(z ≤ 0.9867) - P(z ≤ -0.9867) = 0.8389 - 0.1611 = 0.6778

To know more about proportion here.

https://brainly.com/question/30657439

#SPJ4

Complete Question:

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population.

a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries.

b. What is the probability that the sample proportion will be within ±.02 of the population proportion?

-177147x^28

Hope this helps lol

Answer:D

Step-by-step explanation:

It’s D because 18 chocolate chip muffins and there are 9 blueberry muffins so for every blueberry muffin there is 2 chocolate chip muffins you could also do 18/9 and 2

Question:

Which expressions are equivalent to ½ + 3c + ⅘.

Check all that apply.

Answer:

½ + 3c + ⅘ is equivalent to

1. ⅒(30c + 13)

2. 3c + 13/10

Step-by-step explanation:

The options are not well presented.

However, I'll give simplify the given expression in the question above.

Given: ½ + 3c + ⅘.

Required: Simplify

We start by collecting like terms

3c + ½ + ⅘

From this point, the expression can be solved in two ways

1. Solve fractions

This gives [Find LCM]

3c + (5 + 8)/10

3c + 13/10

3c + ⅒(13)

This can still be solved further [Find LCM]

(30c + 13)/10

⅒(30c + 13)

Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.

2. Convert fractions to decimal

½ + 3c + ⅘ becomes

0.5 + 3c + 0.8

Collect like terms

3c + 0.5 + 0.8

3c + 1.3

Convert decimal to fraction

3c + 13/10

3c + ⅒(13)

This can still be solved further [Find LCM]

(30c + 13)/10

⅒(30c + 13)

Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.

This is as far as the expression can be evaluated

Answer:

1,3.and 5

Step-by-step explanation:

The percent of the large circle is covered by the small circle will be 33.3%.

It should be noted that the radius of the small circle will be r.

The radius of the big circle will be 3r.

Therefore, the percent of the large circle is covered by the small circle will be:

= r / 3r × 100

= 1/3 × 100

= 33.3%

The percent of the large circle is covered by the small circle will be 33.3%.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

To find the implicit equation for the plane passing through the point (-3,-4,-4) that is perpendicular to the line l(t) = <-5-4t, 5+5t, 4-2t>, we first need to find the normal vector of the plane.

Since the plane is perpendicular to the line, the normal vector of the plane will be parallel to the direction vector of the line. The direction vector of the line is < -4, 5, -2>, so the normal vector of the plane is also <-4, 5, -2>.

Next, we use the point-normal form of the equation of a plane:

(-4)(x+3) + (5)(y+4) - (2)(z+4) = 0

Expanding and simplifying:

-4x - 16 + 5y + 20 - 2z - 8 = 0

-4x + 5y - 2z - 4 = 0

Therefore, the implicit equation for the plane passing through the point (-3,-4,-4) that is perpendicular to the line l(t) = <-5-4t, 5+5t, 4-2t> is -4x + 5y - 2z - 4 = 0.
An implicit equation for the plane passing through the point (-3, -4, -4) and perpendicular to the line l(t) = ⟨-5 - 4t, 5 + 5t, 4 - 2t⟩ can be found by following these steps:

1. Find the direction vector of the line: To find the direction vector of the line l(t), look at the coefficients of the parameter t in the line equation: ⟨-4, 5, -2⟩.

2. Use the direction vector as the normal vector for the plane: Since the plane is perpendicular to the line, the normal vector of the plane will be the same as the direction vector of the line: ⟨-4, 5, -2⟩.

3. Use the normal vector and a point on the plane to find the equation of the plane: With the normal vector ⟨-4, 5, -2⟩ and the point (-3, -4, -4), plug the values into the general equation of a plane, Ax + By + Cz = D, where A, B, and C are the components of the normal vector:

-4(x - (-3)) + 5(y - (-4)) - 2(z - (-4)) = 0

Simplify the equation:

-4(x + 3) + 5(y + 4) - 2(z + 4) = 0

Your answer: -4(x + 3) + 5(y + 4) - 2(z + 4) = 0

Learn more about coefficients here: brainly.com/question/28975079

#SPJ11

Answer:

-9 + 6 = -3

Step-by-step explanation:

The Number Line

The original number -9 is located as the red dot in the number line as shown in the figure below.

To move to the number -3 (as a blue dot) we must jump right 6 numbers. Thus, this is the number that must be filling the box.

-9 + 6 = -3

To prove the equation (1 + sin(−θ))(sec θ + tan θ) = cos(−θ), the trigonometric indentities used are :  sec θ = 1/cosθ, tanθ = sin θ/cosθ, sin(−θ)=sin(θ), cos(−θ)=cos(θ), cos² θ + sin² θ=1.

To prove the equation is true follow these steps:

Hence, the given equation is true. The trigonometric identities used in the proof are: sec θ = 1/cosθ, tanθ = sin θ/cosθ, sin(−θ)=sin(θ), cos(−θ)=cos(θ), cos² θ + sin² θ=1.

Learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ11

Answer: 10.5 ft^2

Step-by-step explanation:

\(A=\frac{a*b}{2} \\\\A=\frac{7*3}{2}\\\\A=10.5ft^{2}\)

Answer:

A) 21 ft

Step-by-step explanation:

So we are finding the area of a triangle so in that case we need to multiply.

L x W = Area

7 x 3 = 21

The function f(x) = ((x+1)/(x-1))^3 is bijective as it is both injective and surjective, meaning it has a one-to-one correspondence between its domain and codomain.

To prove that f(x) = \(((x+1)/(x-1))^3\)is bijective, we need to show that it is both injective and surjective.

Injectivity: To prove injectivity, we assume that f(x1) = f(x2) and show that it implies x1 = x2. So, let's assume f(x1) = f(x2) and substitute the function values:

\(((x1+1)/(x1-1))^3 = ((x2+1)/(x2-1))^3\)

Taking the cube root of both sides, we get:

(x1+1)/(x1-1) = (x2+1)/(x2-1)

Cross-multiplying and simplifying, we have:

x1 + 1 = x2 + 1

This implies x1 = x2, which shows that the function is injective.

Surjectivity: To prove surjectivity, we need to show that for every y in the codomain, there exists an x in the domain such that f(x) = y. In this case, the codomain is R - {1}.

Let y be an arbitrary element in R - {1}. We can solve the equation f(x) = y for x:

\(((x+1)/(x-1))^3\)= y

Taking the cube root of both sides, we get:

\((x+1)/(x-1) = y^(1/3)\)

Cross-multiplying and simplifying, we have:

\(x + 1 = y^(1/3)(x - 1)\)

Expanding and rearranging terms, we get:

\((x - y^(1/3)x) = y^(1/3) - 1\)

Factoring out x, we have:

\(x(1 - y^(1/3)) = y^(1/3) - 1\)

Dividing both sides by (1 - y^(1/3)), we get:

\(x = (y^(1/3) - 1)/(1 - y^(1/3))\)

This shows that for any y in R - {1}, we can find an x in the domain such that f(x) = y, proving surjectivity.

Learn more about surjectivity here:

https://brainly.com/question/13656067

#SPJ11

Answer:

do you have 12 as an answer?