John and Matt are going to eat at the same restaurant and they are paying separately. Matt ordered 2 burgers and 1 side item, his total was $14.75. John ordered 3 burgers and 2 side items, his total was $24.00.

Write and solve a System of Equations to determine the price of 1 side item.

Step-by-step explanation:

Statements

Reasons

1. PQ || MN

1. Given

2. O is the midpoint of NP

2. Given

3. NO = OP

3. Definition of midpoint

4. ∠ZMO = ∠QOP

4. Alternate interior angles are congruent (corresponding angles of parallel lines)

5. ∠LNMO = ∠LPQO

5. Alternate interior angles are congruent (corresponding angles of parallel lines)

6. ΔMNO ≅ ΔPRO

6. Angle-side-angle (ASA) congruence theorem

7. AMNO ≅ AQPO

7. Corresponding parts of congruent triangles are congruent (CPCTC)

Answer:

1

Step-by-step explanation:

1 is answer.it may help you to understand.

Answer:

A) X= 6

B) X = 33

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

Answer:

Cassidy

6 V 19=26

Philip

3 x V 51=21

Jackie

2 x V 82=18

Antonio

2 v 56=14

I hope this is good enough:

Answer:

5x-8

Step-by-step explanation:

first, let's distribute inside the parentheses.

7(x-2)

7x-14

-2(x-3)

-2x+6

let's put these expanded forms together.

7x-14-2x+6

combine like terms

5x-8

there's your answer!

Answer:

12 of them

Step-by-step explanation:

2:4

4:8

6:12

Answer:

12

Step-by-step explanation:

sum the parts of the ratio, 2 + 4 = 6 parts

Divide total number of socks by 6 to find the value of one part of the ratio.

18 ÷ 6 = 3 ← value of 1 part of the ratio, thus

4 parts = 4 × 3 = 12 ← number of white socks

Answer:

the answet is x=-2 and y=5

Answer:

Hey welcome and the  answer would be 500 miles

Answer:

1.205 x 10⁷

Step-by-step explanation:

Answer:

60

Step-by-step explanation

Answer:

$60

Step-by-step explanation:

3000 / 50 =60

Answer:

She will earn $567.87 in 23 hours

Step-by-step explanation:

Because I found out that for every 1 hour she earns $24.69 ($716.01÷29=$24.69). So, then I multiplied $24.69 by 23 and got $567.87. So, Gwen earns $567.87 in 23 hours

Answer:

567.87$

Step-by-step explanation:

This is the answer because, first you must find how much Gwen makes in an hour, you must find it by dividing 716.01 by 29 to get $24.69. Now in order to find how much Gwen makes, we will multiply 24.69 by 23 to get $567.87

Answer:

[tex]p\leq\$70.[/tex]

Step-by-step explanation:

The 1000 tickets will be sold when each ticket costs $60.

The manager wants to sell at least 800 tickets which is maximum

1000-800=200 tickets less than 1000.

Given that for 20 less tickets will be sold for every $1  increase in price.

So, 20x2=40 less tickets will be sold for $1x2=$2  increase in price.

Proceeding in a similar way, for any natural number n:

20 x n less tickets will be sold for $1 x n=$n  increase in price.

Here, 200=20x10, so n=10

So, 20x10 less tickets will be sold for $1x10=$10  increase in price.

Hence, the manager can increase the price of each ticket up to $10.

So, to sell at least 800 tickets, the maximum price of each ticket can be $60+$10=$70.

Hence, the value of [tex]p[/tex] is

[tex]p\leq\$70.[/tex]

The maximum value of x = 18.8 approx. Hence the mathematical statement that represents the given situation is x² - 12x ⩽ 380. The correct option is b.

Given that an open box is to be formed out of a rectangular piece of cardboard whose length is 12cm longer than its width.

To form the box, a square of side 5cm will be removed from each corner of the cardboard. Then the edges of the remaining cardboard will be turned up.

If the box is to hold at most 1900 cm³ then the mathematical statement that represents the given situation is:

x² - 12x ⩽ 380. Hence, option (b) is the correct.

Consider the width of the rectangular cardboard be x cm.

Then its length would be x + 12 cm.

Now the square of 5cm is removed from each corner.

The height of the box would be 5 cm, as given.

Then, the length and width of the box would be (x + 12 - 10) cm and (x - 10) cm respectively.

Hence the base of the box would be x² - 20x + 100 cm².

Now we need to determine the maximum value of x so that the box can hold a maximum of 1900 cm³.

The volume of the box is given by length × width × height

x(x + 2) (5) ⩽ 1900x² + 10x - 1900

⩽ 0x² - 190x + 190 ⩽ 0(x - 10) (x - 19)

⩽ 0x ⩽ 19

[Since x > 0]

Therefore, x lies between 0 and 19.

When we plot the graph for the given expression, the curve intersects x-axis at x = 10 and x = 19.

Hence the value of x should be between 10 and 19.

Now let's determine the maximum value of x. For that, substitute x = 19 in the volume of the box.

We get the volume of the box to be 1901 cm³ which is greater than 1900 cm³.

The correct option is b.

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The total number of possible outcomes for the event in which the letter chosen is A is 3.

A sample space is a set of all the possible outcomes that can be generated by performing a random experiment. Felipe chooses one card from the box, numbered 1, 2, or 3, and then he chooses a ball from the bag, labeled A, B, or C.

Hence, the number of possible outcomes is 3 x 3, or 9.

Below is the sample space describing all the possible outcomes:

{1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}

Now, we must find all the possible outcomes for the event in which the letter chosen is A.

Felipe picks a card from the box, numbered 1, 2, or 3.

If he selects card 1, he can then choose ball A, B, or C, resulting in three possible outcomes.

If he selects card 2, he can also select ball A, B, or C, resulting in another three possible outcomes.

If he chooses card 3, he can also choose ball A, B, or C, resulting in another three possible outcomes.

Hence, the total number of possible outcomes for the event in which the letter chosen is A is 3.

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Answer:

13x

Step-by-step explanation:

8x + 5x

Combine like terms

13x

Answer:

X(8+5)

Step-by-step explanation:

Distribute the X to each number you get 8x+5x. Therefore the two are equivalent.

Answer:

Option 1

Step-by-step explanation:

If you multiply all the numbers, you get

7.5= 7500

5.6=5600

2.5=2500

Answer:

The answer would be Option C

Step-by-step explanation:

Descending is GREATEST TO LEAST therefore it would be C.

I hope this helped! :)

Answer:

NO

Step-by-step explanation:

Because pi goes on forever so you can but if multiplying ;The estimate of pi which is 3.14 you get 9.42

Step-by-step explanation:

it may help you to understand.

Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = ([tex]\sqrt[3]{(3V / (4\pi )}[/tex]))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = ([tex]\sqrt[3]{(3 * 26667 / (4\pi )))}[/tex]

Calculating this expression, we find:

r ≈ ([tex]\sqrt[3]{80001 / \pi ))}[/tex] ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

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Answer:

-7x-48

Step-by-step explanation:

2x-3(20-3x)+12

2x-60-9x+12     (distribute)

-7x-48

hope this helps

brainliest?

(a) The characteristic polynomial of matrix A is[tex]λ^3 - 6λ^2 - 4λ + 24[/tex]. (b) The characteristic equation is[tex]λ^3 - 6λ^2 - 4λ + 24 = 0.[/tex] (c) The eigenvalues of matrix A are λ = 4, λ = -2, and λ = 3. (d) The corresponding eigenvectors can be found by solving the system of equations (A - λI)v = 0, where I is the identity matrix. (e) The eigenspace is the span of the eigenvectors associated with each eigenvalue. (f) The inverse of matrix A is [-0.0833 -0.2917 0.125], [-0.3333 -0.5417 0.25], and [-0.1667 -0.2083 0.125]. (g) The diagonalized matrix of A is [4 0 0], [0 -2 0], and [0 0 3].

(a) To find the characteristic polynomial, we compute the determinant of (A - λI), where A is the given matrix and I is the identity matrix. The characteristic polynomial is obtained by expanding the determinant.

(b) The characteristic equation is formed by setting the characteristic polynomial equal to zero.

(c) The eigenvalues are the roots of the characteristic equation.

(d) To find the eigenvectors, we solve the system of equations (A - λI)v = 0, where v is the eigenvector and λ is the eigenvalue.

(e) The eigenspace is the set of all vectors that can be obtained by scaling the eigenvector associated with a specific eigenvalue.

(f) The inverse of matrix A is found by using the formula A^(-1) = (1/det(A)) * adj(A), where det(A) is the determinant of A and adj(A) is the adjugate matrix of A.

(g) The diagonalized matrix is obtained by using the eigenvectors as columns of the matrix, with the eigenvalues on the diagonal.

In summary, the characteristic polynomial of matrix A is [tex]λ^3 - 6λ^2 - 4λ +[/tex]24, the eigenvalues are λ = 4, λ = -2, and λ = 3, the eigenvectors can be obtained by solving the system of equations, the eigenspace is the span of the eigenvectors, the inverse of A is determined using the formula and the diagonalized matrix is formed using the eigenvectors and eigenvalues.

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Answer:

-2

Step-by-step explanation:

10 divide -5 = -2

To find the simple interest payable, we can use the formula:

Simple Interest = Principal × Rate × Time

where:

Principal = $28,800

Rate = 3.75% per annum (expressed as a decimal, so 3.75% = 0.0375)

Time = 4 years

(a) The simple interest payable is $4,320.

Simple Interest payable:

Simple Interest = $28,800 × 0.0375 × 4

Simple Interest = $4,320

Therefore, the simple interest payable is $4,320.

(b) The monthly repayment amount is approximately $690.

To find the monthly repayment, we need to calculate the total amount to be repaid and then divide it by the number of months in the loan term.

Total amount to be repaid = Principal + Simple Interest

Total amount to be repaid = $28,800 + $4,320

Total amount to be repaid = $33,120

The loan term is 4 years, which is equivalent to 4 × 12 = 48 months.

Monthly repayment = Total amount to be repaid / Number of months

Monthly repayment = $33,120 / 48

Monthly repayment ≈ $690

Therefore, the monthly repayment amount is approximately $690.

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Answer:

25x10^6 = 25,000,000

[tex] [/tex]

The time required for the first unit is "x" hours, the time required for the eighth unit is "x + 35" hours, and the total amount of time required for building the eight units is "8x + 140" hours.

To determine the approximate amount of time required for building the remaining bikes, we need to consider the time spent on the first and second bikes as well as the number of remaining bikes. Let's denote the time required for building the first bike as "x" hours and the time required for building the second bike as "5" hours.

(a) To find the approximate time required for building the first unit, we already know that "x" hours spent on it.

(b) For the eighth unit, we can observe that a pattern is emerging. The time required for each unit is increasing by 5 hours. Therefore, for the eighth unit, we can calculate the time as follows:

Time for the eighth unit = Time for the first unit + (7 * 5) hours = x + 35 hours.

(c) To find the total amount of time required for building the eight units, we need to sum up the time required for each unit. Since each subsequent unit takes 5 hours longer than the previous one, we can use the arithmetic series formula to calculate the sum:

Total time for eight units = (Number of units / 2) * (Time for the first unit + Time for the last unit)

                            = (8 / 2) * (x + (x + 35))

                            = 4 * (2x + 35)

                            = 8x + 140 hours.

In summary, the time required for the first unit is "x" hours, the time required for the eighth unit is "x + 35" hours, and the total amount of time required for building the eight units is "8x + 140" hours.

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Answer: 2x+6

Step-by-step explanation: two times a number plus six in other words

Answer: 2a+6

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

You'll want to do -1 minus 7 to get your answer, -8.

Answer:

C: perpendicular lines

Step-by-step explanation:

A histogram is a graphical representation of the tonal range of an image. It shows how many pixels are found in an image for each tonal value.

Tonal values run from black on the left side of the histogram to white on the right side. In this case, if the peaks of the histogram are on the left side, then the photographer can deduce that the image is underexposed. This implies that the camera's exposure settings were not correctly calibrated or that there was a lack of light in the environment. When the peaks of the histogram are located on the left side, the image will have a lack of brightness and detail in the shadows.

A landscape photographer should be familiar with histograms and how they function to capture the ideal shot. A histogram is a graphical representation of the tonal range of an image. It shows how many pixels are found in an image for each tonal value. Tonal values run from black on the left side of the histogram to white on the right side. An ideal histogram should have tonal values distributed uniformly across the tonal range. However, if the peaks of the histogram are on the left side, then the image is underexposed. This implies that the camera's exposure settings were not correctly calibrated or that there was a lack of light in the environment.The underexposed image appears darker and lacking in detail in the shadows, which are important for landscape photography. To correct this issue, the photographer should adjust the camera's exposure settings or add more light to the scene, or both. The photographer could increase the ISO value, use a larger aperture, or slow down the shutter speed to fix the exposure. The goal is to reposition the peaks to the center of the histogram or as close as possible to the center of the histogram. Correcting the exposure settings will result in a well-balanced histogram that includes detail in the highlights and shadows.

If the histogram's peaks are on the left side, the image is underexposed. Adjusting the camera's exposure settings or increasing the amount of light in the scene will help the photographer obtain a properly exposed image with a balanced histogram.

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