1a) Your brother has saved $2,000 for vacation. If his airplane ticket costs $600, and his hotel room costs $200 per day, write an inequality for the maximum number of days your brother can be on vacation. (Select the correct answer) *

Answer:

4. \(4*x\)

the word product represents multiplication. X is all real numbers in this case.

5. x - 12

We now that x (number) is subtracting 12 from itself, x.

6. 4(10 - x)

four times is 4 times, and difference is subtraction.

Answer:

Kylie drove at a speed of 60 miles per hour going to the soccer game.

Step-by-step explanation:

Let us assume that Kylie drove at speed x miles per hour going to the soccer game. On the way back, she had to drive at a speed of (x-10) miles per hour. We are given that the trip took 1 hour longer on the way back, which means that the time taken on the way back was greater than the time taken going to the soccer game. We can form an equation using the distance formula:

300/x = 300/(x-10) + 1

Simplifying this equation by cross multiplication, we get:

300(x-10) = 300x + x(x-10)

Simplifying further, we get:

300x - 3000 = 300x - 10x

Solving for x, we get:

x = 60

Therefore, Kylie drove at a speed of 60 miles per hour going to the soccer game.

Answer: 19, 21

Step-by-step explanation:

add 2, then, 4. Since 13 is adding two. You must add 4 from fifteen. Making 19. Then two, making 21.

The next term in the sequence  1, 3, 7, 9, 13, 15 is 19, 21, and so on. The sequence is shown below.

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

1, 3, 7, 9, 13, 15

Here, the sequence can be determined as,

1, 1 + 2, 3 + 4, 7 + 2, 9 + 4, 13 + 2, 15 + 4, 19 + 2, 21 + 4

As we can see, 2 is added and then 4 is added to the answer,

Thus, the next term is

15 + 4 = 19 and 19 + 2 = 21

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The value of tanθ, where cotθ = -6/7, is -49/6. This means that the ratio of the sine of θ to the cosine of θ is -49/6.

To find the value of tanθ, we'll use the identity involving cotangent and tangent:

tanθ = 1 / cotθ

Given that cotθ = -6/7, we can substitute this value into the identity:

tanθ = 1 / (-6/7)

To simplify the expression, we'll multiply the numerator and denominator by the reciprocal of -6/7, which is -7/6:

tanθ = (1 / (-6/7)) * (-7/6)

     = -7 / (-6/7)

     = -7 * (7/6)

     = -49/6

Therefore, tanθ is equal to -49/6.

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1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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Answer:

12 gallons/hour or 1 gallon/5 minutes (1/12 gallon)

Step-by-step explanation:

assuming gravity can capilary action can be ignored amd has nothing to do with it, 20 minutes is 4 gallons of water gone, so 5 minutes for 1 gallon of water gone. 60 minutes in an hour, so 12 gallons per 60 minutes

The equation that can be used to determine the cost of a cab ride is cost = $3 + ($1.50 x miles driven).

The flat rate of the cab ride is $3.

The cost of travelling 7 miles is $13.50.

The total amount that would be spent on the cab ride is a function of the price per mile, the total miles driven and the flat rate.

Total cost = variable rate + flat rate

variable rate = cost per mile x total miles driven

15 x $1.50 = $22.50

Flat rate = total cost - variable rate

$25.50 - $22,50 = $3

The equation to determine the total cost of a cab ride: $3 + $1.50m

Where m is the miles driven.

The cost of travelling 7 miles : 3 + (1.5 x 7) = $13.50

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Answer:

130°

Step-by-step explanation:

Angle 50° underneath is the same as the missing angle next to x.

In a straight line , angles add up 180°. So 180°-50° gives 130°

I hope this helped you out.

Please can I have brainliest, thank my answer and rate it 5. :)

To determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).

Rate of Change:

A rate of change describes how an output quantity changes relative to the change in the input quantity. The units on a rate of change are “output units per input units.”

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

\(\frac{\triangle y}{\triangle x} = \frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1}}\)

How to determine:

Given the value of a function at different points, calculate the average rate of change of a function for the interval between two values \(x_{1}\) and \(x_{2}\).

Hence the answer is to determine which function increases faster, we have to find the ratio = \(\frac{\triangle y}{\triangle x}\).

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Answer:

01101001 value the decimal of this is 15×7/105

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:2

Step-by-step explanation:

Slope = rise/run = (8-2)/(5-2) = 6/3 = 2

Answer:

-2

Step-by-step explanation:

-6x= 5x + 22​

-11x = 22

22/-11

-2

Answer:

The dogs are 21. 8 m from each other in 5 seconds

Step-by-step explanation:

Given;

speed of Edison, v = 10 m/s

speed of Einstein, u = 8 m/s

angle between the two dogs, θ = 25°

let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m

let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m

let the distance between the two dogs after 5 seconds = z

x , y and z forms a triangle with an angle between x and y as θ

The third side, z, can be calculated using cosine rule

z² = x² + y² - 2xyCosθ

z² = 50² + 40² - (2 x 50 x 40)Cos25

z² = 4100 - 4000Cos25

z² = 474.7689

z = √474.7689

z = 21.789 m ≅ 21. 8 m

Therefore, the dogs are 21. 8 m from each other in 5 seconds

Answer:

odd number

Step-by-step explanation:

as the pattern shows the product of them are odd numbers

Answer:

Hey there!

The product of any two odd numbers is odd.

Hope this helps :)

Assuming that the rates are constant, we can see that Tom can paint the fence in 7.5 hours.

Here we will use equations of the form:

(rate at which person x paints)*(time) = 1 fence painted.

We know that Chuck can paint a fence in 5 hours, then if C is the rate (assuming this is constant), we can write:

C*5 hours = 1 fence

C = (1/5) fences per hour.

And let's say that Tom's rate is T.

When they work together, the rate is:

(C + T)

And they can paint the fence in 3 hours, then:

(C + T)*3 hours = 1 fence

Replacing the value of T we will get:

( 1/5 fences per hour + T)*3 hours = 1 fence

1/5 fences per hour + T = 1/3 fences per hour.

T = (1/3 - 1/5) fences per hour

T = (5/15 - 3/15) fences per hour

T = 2/15 fences per hour.

Then Tom paints the fence in:

(15/2) hours = 7.5 hours.

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The rectangular pice has a wide of 24 inches and 40 inches long so we can calculate the area of the rectangle:

Now they say that Lenna folds the piece of fabric along its diagonal so the triangle will have halve of the area of the triangle, so que so we can divide the area of the trangle by 2

So the triangle has an area o

Answer:

£10

Step-by-step explanation:

3:4 is equal to 3/4 (three-quarters)

Paul gets 75%, and Brian gets 25%.

Paul gets £30.  30 is 3/4 of what number?

75/100 × x = 30

Multiply both sides by 100 and divide both sides by 75

x = 30 × 100/75

x = 30 x 1.33333333333

x= 40

£30 is 75% of £40

30/40 x 100 = 75%

10/40 x 100 = 25%

Brian gets £10

Sample size required is 333, 42, 97 and 33,285, respectively using  confidence level and different parameters of standard deviation.

To estimate a population mean to within 40 units with 99% confidence and a population standard deviation of 200, the sample size required can be calculated using the formula

n = (Zα/2)² * (σ²) / (E²)

where Zα/2 is the z-score corresponding to the desired level of confidence (99% in this case), σ is the population standard deviation, and E is the desired margin of error (40 units).

Plugging in the values, we get

n = (2.576)² * (200)²/ (40)²

n = 332.84

Therefore, a sample size of at least 333 should be used.

If the population standard deviation is changed to 50, the same formula can be used with the new value of σ:

n = (2.576)² * (50)²/ (40)²

n = 41.68

Therefore, a sample size of at least 42 should be used.

If using a 95% confidence level, the z-score changes to 1.96

n = (1.96)² * (200)²/ (40)²

n = 96.04

Therefore, a sample size of at least 97 should be used.

To estimate the population mean to within 10 units, the margin of error (E) is changed to 10 in the formula, and the sample size is recalculated

n = (2.576)² * (200)² / (10)²

n = 33,284

Therefore, a sample size of at least 33,285 should be used.

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The required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

To determine the required sample size for estimating a population mean with a given level of confidence and margin of error, we can use the formula:

n = (Z * σ / E)^2

Where:

n = Sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence corresponds to a Z-score of 2.576)

σ = Population standard deviation

E = Margin of error (in this case, 40 units)

Substituting the given values into the formula, we have:

n = (2.576 * 200 / 40)^2

Simplifying further:

n = (12.88)^2

n ≈ 165.6544

Since the sample size must be a whole number, we round up the value to the nearest integer:

n = 166

Therefore, the required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

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Answer:

what do you need to find? Area? perimeter?

Step-by-step explanation:

According to Distributive property, you know that:

In this case, you need to solve the following multiplication:

One of the ways to solve it is using the Distributive property. Notice that:

- The first digit 2 is located in the hundreds place.

- The second digit 2 is located in the tens place.

- The last digit 1 is located in the ones place.

Then, based on the above, you can set up the following expression:

Multiplying the number inside the parentheses and adding the products, you get:

The answer is: Option C.

Answer:

option b is the correct answer I am expecting

The value of the ratio arc DC / arc AB is 3.

This means that arc DC is 3 times longer than arc AB.

To find the measure of arc AB, let's consider the properties of the circle and the chords.

Since AC and BC intersect at right angles at point P, and AB is equal to the radius of the circle, we can conclude that triangle APB is an isosceles right triangle with AP = BP (both are radii).

Therefore, angle APB = angle BPA = 45 degrees.

The measure of arc AB is equal to the measure of the central angle AOB, which is the sum of angles APB and BPA.

So, the measure of arc AB is 45 + 45 = 90 degrees.
To find the value of the ratio arc DC / arc AB, first note that arc DC is the remaining portion of the circle after removing arc AB.

Since the circle has a total of 360 degrees, the measure of arc DC is 360 - 90 = 270 degrees.

Now we can find the ratio:
(arc DC) / (arc AB) = 270 degrees / 90 degrees = 3

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Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

Josephine can choose three books (one chemistry, one history, and one statistics) in 60 ways using the multiplication principle.

To calculate the number of ways Josephine can choose one book of each type to study, we can use the multiplication principle, which states that the total number of outcomes for a sequence of events is the product of the number of outcomes for each event.

So, to solve this problem, we need to multiply the number of ways Josephine can choose one chemistry book, one history book, and one statistics book.

The number of ways to choose one chemistry book from two is 2 (since there are only two options).

The number of ways to choose one history book from three is 3.

The number of ways to choose one statistics book from ten is 10.

Therefore, the total number of ways Josephine can choose one book of each type to study is:

2 x 3 x 10 = 60

So there are 60 ways for Josephine to choose the three books she wants to study.

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