Juanita drove 336 miles on 14 gallons of gasoline whats is the ratio of miles to gallons

Answer:

nyee he he he

Step-by-step explanation:

heh

paps undertale

Answer:

The volume of the rock is 648 cm^3

Step-by-step explanation:

Likely the only dimension that is free to move is the depth of 7 cm.

Volume of the Rock = L * W * h1

L = 24

W = 10

h1 = 2.7

V = 24 * 10 * 2.7

V = 648 cm^3

Step-by-step explanation:

here are the matrices you were looking for

The graph will provide a V-shaped graph with (-1,0) as the vertex when the values are substituted into the function f(x) = |x+1|

The graph consists of two parts: one above the x-axis and one below the x-axis.

For x values greater than or equal to -1, the absolute value of (x + 1) is equal to (x + 1), resulting in a positive y-value. This is represented by the diagonal line starting at (-1, 0) and extending upward to the right.

For x values less than -1, the absolute value of (x + 1) is equal to -(x + 1), resulting in a negative y-value. This is represented by the diagonal line starting at (-1, 0) and extending downward to the left.

The graph is symmetric with respect to the vertical line x = -1. The point (-1, 0) is the vertex of the "V" shape formed by the graph.

The domain of the function is all real numbers, as there are no restrictions on x. The range consists of y-values greater than or equal to 0 for integer values of y and y-values less than 0 for integer values of y.

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Solution

Since,Horizontal line containing (4,-1) then the slope (m) is zero (0)

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

We know that this is a horizontal line.

This means that: m=0

Knowing that this line contains the point (4,-1) we can substitute this coordinates m=0 into y = mx + b, and then we solve for b

Therefore, b = -1

Therefore, the equation of this line in Slope-intercept form is:

The final answer

The third ordered pair that satisfy the given equation is (123, 369).

The given parameters;

The third ordered pair of the equation can be determined by using general equation of a circle;

\(a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}\)

The radius of the circle is calculated as;

\(r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96\)

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

\(b < r\\\\b < 388.96\)

\(a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)\)

Thus, the third ordered pair that satisfy the given equation is (123, 369).

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The weight before the party could be any positive number

The weight of the bag of ice after the party was 7/8 pounds. So we can set up an equation:

x - weight used at the party = 7/8

We know that the weight used at the party is the weight before the party minus the weight after the party.

So we can substitute 3x for the weight before the party:

3x - (7/8) = weight used at the party

We don't know the exact weight used at the party, but we do know that it was less than or equal to the weight before the party.

So we can set up another inequality:

weight used at the party ≤ 3x

Putting it all together:

3x - (7/8) ≤ 3x

Simplifying:

-(7/8) ≤ 0

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Answer:

8

Step-by-step explanation:

Answer:

22.5 I hope this helped

Answer:for area you times them and for perimiter you add

Step-by-step explanation:

hope you understand

Remember that

For a pair (x,y)

So

here

Domain:-

As the function starts from -5 and tends to infinity .

Range:-

As the function starts from -3 but has an asymptote at y=3 .

Answer:

From inspection of the graph, it appears that the curve approaches y = 3 but never crosses it.  Therefore, there could be an asymptote at y = 3.

Domain: input values (x-values)  →  [-5, ∞)

The x-values of the curve start at x = -5 and tends to infinity.

Range: output values (y-values)  →  [-3, 3)    

The y-values of the curve start at y = -3 and appears to tend towards y = 3

Answer: 480 in²

Step-by-step explanation:

    To calculate the surface area, we will find the area of each side and add it together.

Area of the rectangular sides can be found with A = LW:

    A = LW

    A = (12 in)(10 in)

    A = 120 in²

    A = LW

    A = (12 in)(10 in)

    A = 120 in²

    A = LW

    A = (12 in)(12 in)

    A = 144 in²

All the rectangular sides added together:

    120 in² + 120 in² + 144 in² = 384 in²

    Now, we will find the triangle sides. The formula for a triangle is \(A=\frac{BH}{2}\), but since we have two congruent triangles I will not be dividing by 2.

    A = BH

    A = (12 in)(8 in)

    A = 96 in²

Lastly, I will add them both together:

384 in² + 96 in² = 480 in²

The odds against the event rolling a fair die and getting a 3 is \(\frac{5}{6}\) , getting a 5 is \(\frac{5}{6}\) , and getting a 6 or a 4 is \(\frac{2}{3}\).

Probability is finding the odds of occurring or odd against an event occurring. It is described as the ratio of the number of times that event occurs to the total number of events that can occur

In case of a fair die, the outcomes possible are 1, 2, 3, 4, 5, or 6

Thus the number of events that can occur is 6

1. The odds against getting a 3 means that the outcome can either be 1, 2, 4, 5, or 6

Probability = \(\frac{5}{6}\)

2. The odds against getting a 5 means that the outcome can either be 1, 2, 3, 4, or 6

Probability = \(\frac{5}{6}\)

3. The odds against getting a 6 or a 4 means that the outcome can either be 1, 2, 3, or 5.

Probability = \(\frac{4}{6}\) = \(\frac{2}{3}\)

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Step-by-step explanation:

Density = mass / volume

Volume = width × length × thickness

D = M / V

D = M / (WLT)

Solving for the thickness:

T = M / (WLD)

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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By using Percentage , Profit distributed to Charity A is £ 624 and Charity B is £ 336

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

Total ticket sold = 800

Cost of each ticket is £ 2

Total fund raised (raw) = 2 * 800 = £1600

4% of the ticket won a prize of £20 each

so total number of tickets winning a prize = 4 % of 800 = 32

Total prize money distributed = 32 * 20 = £ 640

Total amount to distribute to charity = 1600 - 640 = £ 960

Total profit that goes to Charity A is = 65 % of 960 = £624

And rest to charity B is = £ 336

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Answer:

7 red weights and 2 purple

Step-by-step explanation:

Answer:

5 purple weights and 5 red weights

Step-by-step explanation:

So the new coordinates of point C are (1, 2), and the image of Triangle ABC is congruent to the original triangle.

A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides or the size of its angles. A triangle with all sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle. Triangles can also be classified based on the size of their angles, with an acute triangle having all angles less than 90 degrees, a right triangle having one angle equal to 90 degrees, and an obtuse triangle having one angle greater than 90 degrees.

Here,

To find the new coordinates of point C after the rotation and translation, we need to perform each transformation separately and then combine them.

Rotation:

To rotate a point 180° counterclockwise about the origin, we switch the sign of both coordinates. Therefore, the new coordinates of point C after the rotation are (-3, -2).

Translation:

To translate a point to the right 4 and up 4, we add 4 to the x-coordinate and 4 to the y-coordinate. Therefore, the new coordinates of point C after the translation are (1, 2).

To determine if the image of Triangle ABC is similar or congruent to the original triangle, we need to compare the corresponding sides and angles of both triangles.

Since we performed a rotation of 180°, all the angles in the image triangle are congruent to the corresponding angles in the original triangle. Additionally, since we performed a translation, the sides of the image triangle are congruent to the corresponding sides of the original triangle. Therefore, the image triangle is congruent to the original triangle.

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Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

The inverse of the function is

\({ \underline{f {}^{ - 1}(x) = \sqrt{ \frac{x + 4}{2} } }}\)

Step-by-step explanation:

let the inverse of f(x) be m:

\(m = {2x}^{2} - 4 \)

take 4 to the left hand side ( changes sign to positive ):

\(m + 4 = {2x}^{2} \\ \frac{m + 4}{2} = {x}^{2} \)

take a square root on all sides:

\( \sqrt{ \frac{m + 4}{2} } = \sqrt{ {x}^{2} } \\ \\ x = \sqrt{ \frac{m + 4}{2} } \)

substitute x in place of m:

\( {f}^{ - 1} (x) = \sqrt{ \frac{x + 4}{2} } \)

1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)

2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)

3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)

4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)

5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)

6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)

7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)

8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)

9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)

10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)

11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)

12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)

13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)

14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)

Here are the journal entries for the given transactions:

1. Bricks and timber purchased for construction:

Debit: Bricks (Asset) - Rs 60,000

Debit: Timber (Asset) - Rs 35,000

Credit: Bank (Liability) - Rs 95,000

2. Transfer to fixed deposit account:

Debit: Fixed Deposit (Asset) - Rs 13,000

Credit: Current Account (Asset) - Rs 13,000

3. Appointment of Mr. S.N. Rao as Accountant:

Debit: Salary Expense (Expense) - Rs 300

Debit: Security Deposit (Asset) - Rs 1,000

Credit: Accountant (Liability) - Rs 300

4. Goods sold to Shruti:

Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000

Credit: Sales (Income) - Rs 80,000

5. Goods purchased from Richa:

Debit: Purchases (Expense) - Rs 60,000

Credit: Accounts Payable - Richa (Liability) - Rs 60,000

6. Goods sold to Shilpa:

Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000

Credit: Sales (Income) - Rs 50,000

7. Goods sold to Garima:

Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000

Credit: Sales (Income) - Rs 1,00,000

8.Purchase of land:

Debit: Land (Asset) - Rs 2,00,000

Debit: Brokerage Expense (Expense) - Rs 2,000

Debit: Registration Charges (Expense) - Rs 15,000

Credit: Bank (Liability) - Rs 2,17,000

9. Goods and cash taken away by proprietor:

Debit: Proprietor's Drawings (Equity) - Rs 65,000

Credit: Goods (Asset) - Rs 25,000

Credit: Cash (Asset) - Rs 40,000

10. Goods sold to Charu:

Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000

Credit: Sales (Income) - Rs 1,20,000

Credit: Cost of Goods Sold (Expense) - Rs 80,000

Credit: Profit on Sales (Income) - Rs 40,000

11. Rent paid for the building:

Debit: Rent Expense (Expense) - Rs 60,000

Credit: Bank (Liability) - Rs 60,000

12. Goods sold to Sunil:

Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000

Credit: Sales (Income) - Rs 24,000

Credit: Cost of Goods Sold (Expense) - Rs 20,000

Credit: Profit on Sales (Income) - Rs 4,000

13. Goods purchased from Nanda and supplied to Helen:

Debit: Purchases (Expense) - Rs 1,000

Debit: Accounts Payable - Nanda (Liability) - Rs 1,000

Credit: Accounts Receivable - Helen (Asset) - Rs 1,300

Credit: Sales (Income) - Rs 1,300

14. Goods received from Rohit and Sons and supplied to Madan:

Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)

Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700

Debit: Accounts Receivable - Madan (Asset) - Rs 3,000

Credit: Sales (Income) - Rs 3,000

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Equation of perpendicular bisector is ,  \(y=\frac{3}{2} x+\frac{11}{2}\)

Length of both pa and pb are  \(\sqrt{\frac{65}{4} }\)  unit.

Slope of segment ab is,   \(\frac{6-2}{-4-2} =-\frac{2}{3}\)

So, slope of perpendicular bisector will be, negative of reciprocal of slope of segment ab.

Therefore, slope of perpendicular bisector is,  \(\frac{3}{2}\)

Since, perpendicular bisector passes through the mid point of segment ab.

So, coordinate of mid point of segment ab is,

                                             \((\frac{2-4}{2},\frac{2+6}{2} )=(-1,4)\)

Thus, perpendicular bisector of ab passing through (- 1, 4) and have slope  3/2.

So, equation of angle bisector is,

                                     \(y=\frac{3}{2} x+\frac{11}{2}\)

Since, the perpendicular bisector intersects the y-axis at point p

So, coordinate of point p is (0, 11/2)

By applying distance formula,

\(pa=\sqrt{(2-0)^{2}+(2-11/2)^{2} }\\\\ =\sqrt{4+\frac{49}{4} }\\\\ =\sqrt{\frac{65}{4} }\)

\(pb=\sqrt{(-4-0)^{2}+(6-11/2)^{2} }\\\\ =\sqrt{16+\frac{1}{4} }\\\\ =\sqrt{\frac{65}{4} }\)

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

20cm2

Step-by-step explanation:

area of triangle :

1/2 x b x h

= 1/2 x 8 x 5

=20 cm 2

Answer:

$280

Step-by-step explanation:

Sell 24 pieces in 3 hours, so 8 pieces in 1 hour

in 7 hours 8*7 = 56 pieces, each for $5

56 piece cost 5^56 = $280

Answer:

I think its $0.01?

Step-by-step explanation:

Penny/Cent= €1 = $0.01

I think

Answer:

$17.00

Step-by-step explanation:

The profit=67-50

=$17