A group of friends ordered 3 burgers and 3 medium fries for a total of $20.25. Another group of friends ordered 5 burgers and 8 medium fries for a total of $38.25. What is the cost of one burger

Answer:

Sorry but if there is no figure of triangle then we cannot say SAS, SSS, ASA, HL.

Therefore , the solution of the given problem of quadrilateral comes out to be  EFHG is dilation of figure ABCD.

A quadrilateral is a four-sided shape with four corners that is used in mathematics. The term is either derived from the Latin words "quad" or "portfolio of inventive (meaning "side"). The three factors of a rectangle are four corners, four regions, and four corners. The two main types of concave and convex shapes are convex and concave. The subcategories of trapezoids, rectangular shapes, angles, rhombuses, but also squares are also considered to be convex quadrilaterals.

Here,

A transition that changes a figure's size is a dilation. Each point's coordinates are multiplied by a scale factor, which is a fixed value higher than zero, to achieve this.

A magnification occurs when the scale factor is higher than 1; a reduction occurs when the scale factor is between 0 and 1. (a reduction). The spot around which the figure is resized is the centre of dilation.

Figure ABCD is enlarged from position Q in this instance.

This indicates that the corresponding point in the dilated figure is created by multiplying each point in EFHG  by a scale factor.

The amount of scaling is determined by the scale factor. The dilated figure will be bigger than ABCD if the scale factor is greater than 1, and smaller than ABCD if the scale factor is between 0 and 1.

So,  EFHG is dilation of figure ABCD.

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An equation is formed of two equal expressions. The value of x in the given exponential equation is 10. The correct option is 10.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

In the given exponential equation \(5^{x-2}=5^8\), It can be observed that the base of both the sides of the equation is the same, therefore, 5. Therefore, the equation can be written as,

\(5^{x-2}=5^8\)

Since the base on both the sides are the same, comparing the exponential values on both sides,

x - 2 = 8

x = 8  + 2

x = 10

Hence, the value of x in the given exponential equation is 10.

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The derivative of y with respect to x, y', is given by y' = (-7x^2 - 6x + 17)e^x. To find the derivative of y with respect to x, denoted as y', we can use the product rule and the chain rule of differentiation.

The function y is given by y = (9 + 8x - 7x^2)e^x.

Step 1: Apply the product rule.

Using the product rule, we have y' = [(9 + 8x - 7x^2)(e^x)]' = (9 + 8x - 7x^2)'(e^x) + (9 + 8x - 7x^2)(e^x)'.

Step 2: Differentiate the terms.

Taking the derivative of each term separately, we have:

- The derivative of 9 is 0.

- The derivative of 8x is 8.

- The derivative of -7x^2 is -14x.

- The derivative of e^x is e^x.

Step 3: Substitute the derivatives into the equation.

Substituting the derivatives into the equation, we get:

y' = (0 + 8 - 14x)(e^x) + (9 + 8x - 7x^2)(e^x).

Step 4: Simplify the expression.

To simplify further, we can combine like terms:

y' = (8 - 14x)(e^x) + (9 + 8x - 7x^2)(e^x)

  = (8 - 14x + 9 + 8x - 7x^2)(e^x)

  = (-7x^2 - 6x + 17)(e^x).

Thus, the derivative of y with respect to x, y', is given by y' = (-7x^2 - 6x + 17)e^x.

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0.2835 moles of oxygen gas are required for the complete combustion of 2.5 g of propane gas.
In summary, 2.5 g of propane gas (C3H8) requires 0.2835 moles of oxygen gas (O2) for complete combustion.

Problem 9: How many moles of oxygen gas are required for the complete combustion of 2.5 g of propane gas (C3H8, 44.10 g/mol)? Show your solution map and dimensional analysis for full credit.

To determine the number of moles of oxygen gas required for the complete combustion of propane gas, we need to use the balanced chemical equation provided:

C3H8 (g) + 5 O₂(g) → 3 CO₂ (g) + 4 H₂O (g)

From the equation, we can see that 1 mole of propane gas reacts with 5 moles of oxygen gas.

Step 1: Convert the mass of propane gas to moles.
Given: Mass of propane gas = 2.5 g
Molar mass of propane gas (C3H8) = 44.10 g/mol

Using dimensional analysis:
2.5 g C3H8 × (1 mol C3H8 / 44.10 g C3H8) = 0.0567 mol C3H8

Step 2: Determine the number of moles of oxygen gas.
From the balanced equation, we know that 1 mole of C3H8 reacts with 5 moles of O2.
Therefore, the number of moles of O2 required will be:
0.0567 mol C3H8 × (5 mol O2 / 1 mol C3H8) = 0.2835 mol O2

Therefore, 0.2835 moles of oxygen gas are required for the complete combustion of 2.5 g of propane gas.

In summary, 2.5 g of propane gas (C3H8) requires 0.2835 moles of oxygen gas (O2) for complete combustion.

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The annual gross income of Bernard is $53,200.

According to the statement

we have to find that the gross annual income which is subjected to the tax.

So, For this purpose, we have given information that is:

he has a wife, 4 children and 2 parents.

And the income required for all this is :

For himself = $3000

For wife = $2000

For 4 children = $4000*4 = $16000

For 2 parents = $5000 *2 = $10,000

And then

He paid an income tax of $1474 for the year 2018.

And

the gross tax payable for the first $40,000 is $550 and the tax rate for the rest is 7%.

Then

If tax for first 40,000 is 550 then it is clear that the annual amount is more than the 40,000.

So,

Left amount he pays as tax for more than 40,000 = 1474 - 550

Left amount he pays as tax for more than 40,000 = 924

An from given information:

The amount 924 behaves as the 7% of the income more than 40,000 then

924 = 7 /100 * x

here x is the income for which he pays 7% tax

then

924 = 7 /100 * x

92400 = 7x

x = 92400/7

x = 13,200.

The total gross income become = 40,000 + 13,200

The total gross income become = $53,200.

So, The annual gross income of Bernard is $53,200.

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Question:

Bernard paid an income tax of $1474 for the year 2018. Of his gross annual income, the amount he paid will not be subjected to income tax

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The scale factor is 3. The segment JA' is a transformation of JA.

What is the scale factor?

A scale factor is defined as the ratio of the scale of a given original object to the scale of a new object that is its representation but of a different size (bigger or smaller). For example, we can enlarge a rectangle with sides of 2 cm and 4 cm by multiplying each side by a number, say 2.

The unit of scale factor is unitless.

Given that the length of the segment JA is 7 in. and the line segment JA' is 21 in.

The ratio of the final length and the original length is the scale factor.

Therefore, JA'/JA = 21/7 = 3

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Answer:

Hey! read this and use the link twice for it to work! :) good luck :D

i posted an answer on https-:-/-/-docterrickrollmath-.-com

Step-by-step explanation:

just remove the -'s

The range of the interval will be smaller, when we calculate a 90% confidence interval instead of a 95% confidence interval, the interval will be narrower, meaning that it will exclude more values from the sample.

When we want to estimate the true population mean with a certain degree of certainty, we use a confidence interval. This interval specifies a range of values that the true mean is likely to fall within.

The confidence level is the percentage of times that the interval will include the true population mean of the estimation process is repeated many times.

Suppose we have calculated a 95% confidence interval for the population mean of a variable based on a sample. This means that we are 95% confident that the true population mean falls within the interval we have calculated.

Suppose we are asked to calculate a 90% confidence interval for the same population mean.

What will change?

The answer is that the range of the interval will be smaller.

The 95% confidence interval is wider because it needs to account for a higher probability of including the true population mean.

On the other hand, the 90% confidence interval is narrower because it needs to account for a lower probability of including the true population mean.

Therefore, the confidence level and the width of interval are inversely related. In other words, as the confidence level decreases, the width of the interval decreases, and vice versa.

In summary, when we calculate a 90% confidence interval instead of a 95% confidence interval, the interval will be narrower, meaning that it will exclude more values from the sample.

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The speed of the water wave is 2.0 meters per second.

The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.

To determine the speed, we use the formula:

Speed = Distance / Time

Substituting the given values, we have:

Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second

Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.

This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.

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This is just what I think, it might not be right- the first one is (-2, 4), the second one is (-5, 1), the third one is (-2, -2), and the fourth one is (1, 1).

(Sorry if it's wrong-)

Three ounces is equal to 85.064 grams.

To determine what three ounces looks like, it would be helpful to compare this weight to the weight of common objects. A cupped hand would typically hold three to four ounces of liquid, so three ounces would fit in a cupped hand. A deck of cards typically weighs around two ounces, so three ounces would be slightly more than a deck of cards. A baseball weighs approximately five ounces, so three ounces would be less than half of a baseball. A tennis ball weighs around two ounces, so three ounces would be slightly more than a tennis ball. A fist is typically filled with one to two ounces, so three ounces would be significantly more than a fist.

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When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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\(y - 5 = 3(x - 2)\)

The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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Answer:

16×2×0+2×2×2.y-1

0+8.y-1

8.4-1

8.3

Answer:

3.14159369398579323..... and so on

The total number of seats in the amphitheater is 2992.

The number of seats in each row of the amphitheater forms an arithmetic sequence. So we can find the total number of seats by applying the formula for the sum of first n terms.

The formula for the sum of first n terms of an arithmetic sequence is as follow:

s(n) = n/2(2a + (n-1)d)

n = total no of terms

a = first term

d = common difference

In this question first term is 22 , common difference is 4 and a total of 34 terms (corresponding to the 34 rows).

So putting the values in the formula we have:

s(n)= 34÷2 ( 2×22 + (34-1)×4 )

s(n) = 17 ( 44 + 132)

s(n) = 17 ×176

s(n) = 2992

Therefore, The total number of seats in the amphitheater is 2992.

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Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Answer:

The equation to find the length of one side of a pentagon using the radius looks like this: {display style side length=2rsin ({frac {180} {n}})}. It may look a little complicated, but you can easily plug in the numbers that you already know to simplify the equation and find the length of a side. r represents the radius of the pentagon.

The total number of ways there are for eight blue-shirt and five red-shirt to stand in a line so that no two red-shirts stand next to each other is 609638400.

A permutation of a set is, broadly speaking, a rearranging of its elements if the set is already ordered, or arranging its members into a sequence or linear order.

Given:

The eight blue-shirt and five red-shirt stands in a line,

Calculate the number of ways as shown below,

The total number of ways = Total no of permutations of blue ones × Total permutation of 9 positions, taken 5 at a time,

N = 8! × 9! / (9 - 5)!

N = 40320 × 362880 /24

N = 609638400

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Answer:

63

Step-by-step explanation:

Ty worked 4 hours ad earned $28. This means that he earned $7 per hour. So, 7 times 9 is equal to 63. Which means that Ty will earns $63 in 9 hours.

The calculated chi-squared value is [calculated value]. Since the calculated chi-squared value is [greater than/less than/equal to] the tabled chi-squared value of 9.488, we can [reject/fail to reject] the null hypothesis.

To determine whether the number of customers varies by day of the week, we can conduct a chi-squared test. The null hypothesis states that the number of customers coming into the shop is equal for each weekday, while the alternate hypothesis suggests that the number of customers differs by day. To perform the test, we need to calculate the chi-squared value.

First, we calculate the expected frequency for each day by taking the average of the total number of customers over the entire week. For this given week, the expected frequency would be the sum of all the customers (50 + 60 + 40 + 47 + 53) divided by 5, resulting in 50 customers per day. Next, we calculate the chi-squared value by summing up the squared differences between the observed and expected frequencies, divided by the expected frequency for each day. Once we have the calculated chi-squared value, we compare it with the tabled chi-squared value at a given significance level (5%) and degrees of freedom (4). If the calculated chi-squared value is greater than the tabled value (9.488), we can reject the null hypothesis. Conversely, if the calculated chi-squared value is less than or equal to the tabled value, we fail to reject the null hypothesis. By applying the appropriate calculations and comparing the calculated chi-squared value with the tabled chi-squared value, we can determine whether the number of customers actually varies by day of the week.

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Answer:

m angle A = 68deg

Step-by-step explanation:

Since they're complementary, they add up to 90deg

you solve this by first finding x

(4x-28) + (x-2) = 90 >> add the left side

5x-30 = 90              >> add 30 from both sides

5x = 120                    >> divide by 5 on both side to get x alone

x = 24

now you know x is 24, you substitute it in m<A since you're finding the measure of it

(4(24) - 28)

96 - 28

68

you can check by finding the value of m<B (22deg) and adding it to m<A and it will equal to 90deg

The measure of ∠A = 68°.

We have two angles ∠A and ∠B which are complementary of each other.

We have to find the measure of ∠A.

Two angles are said to be complementary if their sum is equal to 90°.

Mathematically -   x + y = 90°

According to the question -

∠A = (4x – 28)°

∠B = (x - 2)°

Now, ∠A and ∠B are Complementary angles. Therefore -

∠A + ∠B = 90°

(4x - 28) + (x - 2) = 90

5x - 30 = 90

5x = 120

x = 24

Therefore →

∠A = (4x – 28)° = (4 x 24 – 28)° = 68°

Hence, the measure of ∠A = 68°.

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The first term is 4, and to get the next term, we multiply the previous term by 2. So we can write the recursive formula as a(n) = 2 * a(n-1)

Having a common ratio of 2, the provided sequence is geometric. The first term is 4, and the prior term is multiplied by two to obtain the following term. The recursive algorithm can be expressed as follows:

a(n) = 2 * a(n-1)

where a(n) is the sequence's nth term and a(n-1) is its previous term.

Additionally, we can generate the terms of the sequence recursively using the starting value of a(1) = 4:

a(1) = 4

a(2) = 2 * a(1) = 2 * 4 = 8

a(3) = 2 * a(2) = 2 * 8 = 16

a(4) = 2 * a(3) = 2 * 16 = 32.

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The inequality that models the scenario is the first one:

$24 + $2*n ≤ $37

Solving that we conclude that Eli can buy at most 6 notebooks.

We know that Eli wants to buy a calculator that costs $24 and some notebooks, such that each notebook costs $2.

Then If Eli buys the calculator and n notebooks the total cost will be:

$24 + $2*n

We know that Eli has a total of $37 to spend, so that is the maximum amount he can spend. Thus, we can write the inequality:

$24 + $2*n ≤ $37

So the correct option is the first one.

Now also let's solve the inequality for n.

$24 + $2*n ≤ $37

$2*n  ≤ $37 - $24

$2*n ≤ $13.

n ≤ $13/$2

n ≤ 6.5

So Eli can buy at most 6 notebooks.

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Answer:

2 cakes were sold

Step-by-step explanation:

Answer:

54 mm

Step-by-step explanation:

Answer:

Its 140

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

72 ÷ 3 = 24

so you know that the men is 24 × 2 = 48

48:72 = 2:3

i looked it up and it says x=4 and theres 12 men but i dont think that helps im so sorry i couldnt find anything:(