3
5x - =
4

What’s the answer

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

Answer: $6.32

Step-by-step explanation:

$79.00 x .08 = $6.32 sales tax

                                                   uh i could never, sorry

Answer:

b) 48 miles

Step-by-step explanation:

area of a rectangle is width times height

6 times 8 is 48

Based on the given information, the measure of angle Y is 30 degrees.

A transformation is a process or operation that changes the position, shape, or orientation of a geometric figure or an object in space.

There are several types of transformations, including:

Rotation: A transformation that rotates a figure around a fixed point, called the center of rotation, by a certain angle.

Reflection: A transformation that produces a mirror image of a figure across a line, called the line of reflection.

To start, let's first find the vertices of triangle XYZ after the given transformations:

Rotation of 90 degrees counterclockwise about the origin:

The rotation of point (x, y) by 90 degrees counterclockwise about the origin gives us the point (-y, x). So we can apply this transformation to each vertex of triangle ABC to get the vertices of triangle XYZ after rotation:

A = (cos(45), sin(45)) = (√2/2, √2/2) → A' = (-√2/2, √2/2)

B = (cos(55), sin(55)) → B' = (-sin(55), cos(55))

C = (cos(80), sin(80)) → C' = (-sin(80), cos(80))

Reflection across the line y=x:

To reflect a point (x, y) across the line y=x, we simply swap the x and y coordinates to get (y, x). So we can apply this transformation to each vertex of triangle XYZ to get the final vertices:

A'' = (√2/2, -√2/2)

B'' = (cos(55), -sin(55))

C'' = (cos(80), -sin(80))

Now we can use the law of cosines to find the measure of angle Y:

cos(Y) = [B''C''² + A''C''² - A''B''²] / [2 * B''C'' * A''C'']

= [cos(55)² + cos(80)² - (√2/2)²] / [2 * cos(55) * cos(80)]

≈ 0.866

So we have cos(Y) = 0.866, which means Y ≈ 30 degrees. Therefore, the measure of angle Y is approximately 30 degrees.

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Answer:

If 20 is 100% then 20 divided by 4 equals 5 so 20 lbs. - 5 lbs. = 15 lbs. the baker has 15 pounds of sugar left.

Step-by-step explanation:

This is a wonderfully easy problem. So, you start off by dividing the pounds of sugar by the denominator which is 4. So:

20 / 4 = ?

Then you that product and multiply it by the numerator, which is 3 in this case and you get your answer.

Thanks!

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer:3 1/3

Step-by-step explanation:

It’s 3 1/3

Answer:

F(2) = 3

Step-by-step explanation:

Given the function, F(x) = 5 - x:

Substitute 2 as a value of x in the given function:

F(2) = 5 - 2 =  3.

Therefore, F(2) = 3.

Because the sample population is normally distributed, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15.

(this means that option c is correct).

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\), with mean and standard error given as follows:

The Central Limit Theorem can be applied when at least one of these two conditions is true.

In this problem, the sample size is of 15, which is less than 30, meaning that the Central Limit Theorem can be applied only because the underlying population is normally distributed, meaning that option c is correct.

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By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

$32,000

Step-by-step explanation:

0.10 * 10,000 = 1000

$1000 * 22 = $22,000

$22,000 + $10,000 = $32,000

(I'm not sure if there is missing information because it says to round to the nearest sent. I'm 99% sure this is correct. The only thing that throws me off is the fact it asks you to round.)

Answer:

hello your question is incomplete below is the missing parts

(a) A\ (A\B) = B\(B\A)

(b) A\ (BA) = B\(A\B)

answer : A\ (A\B) = B\(B\A) = always true

               A\ (BA) = B\(A\B) = sometimes true and sometimes false

Step-by-step explanation:

(a) A\ (A\B) = B\(B\A). = ALWAYS TRUE

using de Morgan's law to prove this

A\ (A\B) = A\ ( A ∩ B^c )

             = A ∩ ( A^C ∪ B )

             = ( A ∩ A^C ) ∪ ( A ∩ B )

             = Ф ∪ ( A ∩ B )

             = ( A ∩ B )

ALSO : B\(B\A) = attached below is the remaining parts of the solution

B) A\ (BA) = B\(A\B) = Sometimes true and sometimes false

attached below is the prove using De Morgan's law

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.

Step-by-step explanation:

Answer:

x=2 (option B)

Explanation

x²-4=0

x²=4

x=2

120 ounces of 35% salt and 90 ounces of water is needed to obtain 210 ounces of a mixture that is 20% salt.

An equation shows the relationship between two or more numbers and variables.

Let x represent the amount of water and y represent the amount of 35% solution.

She wants to obtain 210 ounces of a mixture that is 20% salt. Hence:

x + y = 210   (1)

Also:

0% of x + 35% of y = 20% of 210

0.35y = 42

y = 120

x + y = 210

x + 120 = 210

x = 90

120 ounces of 35% salt and 90 ounces of water

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The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic.

The mean of the sampling distribution is np and the standard deviation is  \($\sqrt{np(1-p)}$\).

Round the standard deviation to three decimal places, it is \($\sqrt{np(1-p)}$ = $\sqrt{n \cdot p \cdot (1-p)} \approx \sqrt{n \cdot p \cdot 0.99}$\).

The sampling distribution of is a binomial distribution with parameters n and p, where n is the sample size and p is the population proportion of the specified characteristic. The mean of the sampling distribution is np and the standard deviation is \($\sqrt{np(1-p)}$\). This means that for a given sample size n and population proportion p, the standard deviation of the sampling distribution can be calculated by taking the square root of the product of n, p, and (1-p).

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The statement "The roots of the blues were in New York City" is NOT true.

among the late 19th and early 20th centuries, the blues first appeared among African American communities in the southern United States, particularly Mississippi.

African American musical traditions such field hollers, work songs, and spirituals were among those that influenced the development of the blues. African Americans utilised it to express their joys and achievements as well as their struggles and tribulations.

Even though the blues eventually spread to other parts of the United States and the world, its roots are firmly planted in the rural South.

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Answer:

(4x²+36) feet²

Step-by-step explanation:

Area of the pool = L × W

Take width as x and Length as 4x

4x × x = (4x²)feet² {area of pool}

Area of walkway = L × W

6 × 6 = 36feet²

Total area = 4x² + 36 feet²

Answer:

2.3

Step-by-step explanation:

In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result. Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.

Step 1:

Divide the number (5.29) by 2 to get the first guess for the square root .

First guess = 5.29/2 = 2.645.

Step 2:

Divide 5.29 by the previous result. d = 5.29/2.645 = 2.

Average this value (d) with that of step 1: (2 + 2.645)/2 = 2.3225 (new guess).

Error = new guess - previous value = 2.645 - 2.3225 = 0.3225.

0.3225 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 5.29 by the previous result. d = 5.29/2.3225 = 2.2777179763.

Average this value (d) with that of step 2: (2.2777179763 + 2.3225)/2 = 2.3001089882 (new guess).

Error = new guess - previous value = 2.3225 - 2.3001089882 = 0.0223910118.

0.0223910118 > 0.01. As error > accuracy, we repeat this step again.

Step 4:

Divide 5.29 by the previous result. d = 5.29/2.3001089882 = 2.299891017.

Average this value (d) with that of step 3: (2.299891017 + 2.3001089882)/2 = 2.3000000026 (new guess).

Error = new guess - previous value = 2.3001089882 - 2.3000000026 = 0.0001089856.

0.0001089856 <= 0.01. As error <= accuracy, we stop the iterations and use 2.3000000026 as the square root.

So, we can say that the square root of 5.29 is 2.3 with an error smaller than 0.01 (in fact the error is 0.0001089856). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(5.29)' is 2.3.

Note: There are other ways to calculate square roots. This is only one of them.

Normal:

The square root of 5.29 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.3.

The square root of 5.29 can be written as (5.29)1/2. So,

(5.29)1/2 = (2.3 × 2.3)1/2

(5.29)1/2 = [(2.3)2]1/2

(5.29)1/2 = (2.3)2/2

(5.29)1/2 = (2.3)1

Thus,

√5.29 = 2.3

In the given graph function, Domain: [-3, ∞) and Range = [-1, ∞).

Simply solving for y = f(x) yields the values of the independent variable x and the domain, which we can use to determine the domain and range. Simply write x as x=g(y) to determine the function's range, and then identify  g(y) domain.

Utilizing graphs is another method for determining the domain and range of functions. The collection of possible input values is referred to as the domain, and the domain of a graph is made up of all the input values displayed on the x-axis. The collection of potential output values that make up the range is represented by the y-axis.

Let y = f(x) be a function where x and y are the independent and dependent variables. If a function f offers a means of successfully generating a single value y while using a value for x to that end, then that selected x-value is said to belong to the domain of f.

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Answer:

3/2 and 1

Step-by-step explanation:

Took the quiz!

Hope this helps!

The dimensions of the parallelogram are: breadth = 13 cm and length = 39 cm.

What is perimeter ?

Perimeter is the total length of the boundary or outer edge of a two-dimensional shape. It is the sum of the lengths of all the sides or edges of the shape. For example, the perimeter of a square is the sum of the lengths of all four sides, while the perimeter of a circle is the total length of the boundary or circumference of the circle. The unit of measurement for perimeter is the same as the unit of measurement for the length of the sides, such as centimeters (cm), meters (m), or inches (in).

Let's assume that the breadth of the parallelogram is "b" cm.

Then the length of the parallelogram would be "3b" cm, since it is given that the length is three times the breadth.

The perimeter of a parallelogram is the sum of the lengths of all four sides, which in this case is:

Perimeter = 2(length + breadth)

Perimeter = 2(3b + b)

Perimeter = 8b

We are given that the perimeter is 104 cm, so we can set up the equation:

8b = 104

Solving for "b":

b = 13

Therefore, the breadth of the parallelogram is 13 cm, and the length is 3 times the breadth, which is:

length = 3 x breadth = 3 x 13 = 39 cm

So the dimensions of the parallelogram are: breadth = 13 cm and length = 39 cm.

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