a group 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 burgers

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The surface area of an ice cube with 4 cm sides is 96 square centimeters.

It is a measurement of the sum of all the areas of the faces, sides, and any other surfaces of an object. For example, a cube has six square faces, each with the same area.

To find the surface area of an ice cube with 4 cm sides, we need to add up the areas of all six faces. Each face is a square with side length 4 cm, so the area of each face is:

Area of one face = (side length)² = 4 cm × 4 cm = 16 cm²

Since there are six faces on a cube, the total surface area of the ice cube is:

Total surface area = 6 × (area of one face) = 6 × 16 cm² = 96 cm²

Therefore, the surface area of an ice cube with 4 cm sides is 96 square centimeters.

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Answer:

To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.

Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)

Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:

S = (n/2) x (a + l)

where S is the sum, n is the number of terms, a is the first term, and l is the last term.

Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:

S = (10/2) x (45 + 18) = 5 x 63 = 315

Therefore, Naina used a total of 315 beads to complete the ornament.

Answer:

The answer to your problem is, 1260

Step-by-step explanation:

Well we know she made 10 “ strand ornaments “ for each layers we would need to add;

45 + 42 + 39

= 126

We would actually then need to multiply it by 10. Shown:

126 × 10

= 1260

Thus the answer to your problem is, 1260

a) The polynomial f(x) in expanded form is f(x) = x³ + 10 · x² - 20 · x - 24.

b) The rational function g(x) in factored form is g(x) = [(x - 6) · (x + 3)] / (x - 2). there is no slant asymptotes.

c) There is one evitable discontinuity at x = - 1, and one definitive discontinuity at x = 2, where there is a vertical asymptote.

a) In the first part of this question we need to determine the equation of a polynomial in expanded form, derived from its factor form defined below:

f(x) = Π (x - rₐ), for a ∈ {1, 2, 3, 4, ..., n}         (1)

Where rₐ is the a-th root of the polynomial.

If we know that r₁ = 6, r₂ = - 1 and r₃ = - 3, then the polynomial in factor form is:

f(x) = (x - 6) · (x + 1) · (x + 3)

f(x) = (x - 6) · (x² + 4 · x + 4)

f(x) = (x - 6) · x² + (x - 6) · (4 · x) + (x - 6) · 4

f(x) = x³ - 6 · x² + 4 · x² - 24 · x + 4 · x - 24

f(x) = x³ + 10 · x² - 20 · x - 24

The polynomial f(x) in expanded form is f(x) = x³ + 10 · x² - 20 · x - 24.

b) The rational function is introduced below:

g(x) = (x³ + 10 · x² - 20 · x - 24) / (x² - x - 2)

g(x) = [(x - 6) · (x + 1) · (x + 3)] / [(x - 2) · (x + 1)]

g(x) = [(x - 6) · (x + 3)] / (x - 2)

The slope of the slant asymptote is:

m = lim [g(x) / x] for x → ± ∞

m = [(x - 6) · (x + 3)] / [x · (x - 2)]

m = 1

And the intercept of the slant asymptote is:

n = lim [g(x) - m · x] for x → ± ∞

n = Non-existent

Hence, there is no slant asymptotes.

c) There is vertical asymptote at a x-point if the denominator is equal to zero. There is one evitable discontinuity at x = - 1, and one definitive discontinuity at x = 2, where there is a vertical asymptote.

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According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).

To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.

On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.

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Answer:

29.04

Step-by-step explanation:

i tried doing it without a calculator LOLLL

Part I

Part II

Part III

This a term that represents the amount of how hot or cold a substance is the unit used to measure temperature as regards the question is degrees Celsius.

The range of the graph is temperature while the domain is the time

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Answer:

Step-by-step explanation:

With compound interest rate of 5%, the value of the bicycle was $585.00.

What is Compound interest?

Compound interest is a type of interest that is calculated on the initial principal amount as well as the accumulated interest from previous periods. In other words, the interest is not only earned on the initial investment but also on the interest already earned. Compound interest can be thought of as "interest on interest."

For example, if you invest $1,000 at a 5% annual interest rate with compound interest, after the first year, you will earn $50 in interest (5% of $1,000). In the second year, you will earn interest not only on the initial $1,000, but also on the $50 you earned in the first year. So, the interest earned in the second year will be 5% of $1,050, which is $52.50. After two years, you will have earned a total of $102.50 in interest.

Now,

Let's first calculate the total amount Harry would owe after 2 years of compounding annually:

A = P(1 + r/n)ⁿˣ

where A =amount after x years, P= principal amount, r = annual interest rate as a decimal, n = number of times interest is compounded per year, and x= number of years.

In this case, P = $3,600.00, r = 0.05, n = 1 (compounded annually), and t = 2.

A = $3,600.00(1 + 0.05/1)¹ˣ² = $3,960.00

This means that after 2 years, Harry would owe $3,960.00 to his friend if he didn't make any payments.

However, we know that Harry paid off his debt after 2 years with $3,375.00 and a bicycle. Let's subtract the amount he paid in cash from the total he owed to find the value of the bicycle:

Bicycle value = Total owed - Amount paid in cash

Bicycle value = $3,960.00 - $3,375.00

Bicycle value = $585.00

Therefore, the value of the bicycle Harry gave to his friend to clear his debt was $585.00.

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The question has a missing part of ∠BAC = 90°

To find one side of a right angle, We can use the Pythagoras theorem

which means the square of the hypotenuse is equal to the square of the other two sides.

\(BC^{2} = AB^{2} +AC^{2}\)

We need to find the hypotenuse of this triangle

The length of the other two sides are

AB = 7.9 mm

BC = 21.9 mm

Let x be the distance of hypotenuse

By substituting these values in the the above equation we get

\(x^{2} = 7.9^{2}+21.9^{2}\)

\(x^{2} = 62.41 + 479.61\)

\(x^{2} = 542.02\)

\(x =\sqrt{542.02\)

x = 23.281323 mm

We need to round off the value to one decimal ,then

x = 23.3 mm

Therefore , The length of the hypotenuse, AC is 23.3 mm

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Answer:

y = -2x/3 +3

Step-by-step explanation:

lets find the gradient first

(11/3 -7/3)/(-1-1) = -2/3

then find the equation by putting gradient and any relative coordinates from the table:

y - -1 = -2/3 ( x - 6)

y = -2x/3 +3

Answer:

3

Step-by-step explanation:

3+ idididididid is a very popular place

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

3:5

Step-by-step explanation:

To find the simplest ratio, divide each number by 2:

6/2

= 3

10/2

= 5

So, the simplest ratio of triangles to squares is 3:5

Answer:

i looked it up

Step-by-step explanation:

Answer:

would be 3 b because 7 ×3 is 21 as a then 2 × 3 is 6 for b

Answer: i think it would be b=6

Step-by-step explanation:

The angle between 0 degrees and 360 degrees that is coterminal with -240 is 120 degrees

Two angles in standard position are called coterminal angles if they have the same terminal side.

When 360 degrees is added to a given angle or when 360 degrees is subtracted from a given angle, we get an angle that is coterminal with the given angle.

Now,

We are to determine an angle between 0 degrees and 360 degrees that is coterminal with -240

To do this, we will add 360 degrees to the given angle

That is,

-240° + 360° = 120°

Hence, the angle is 120 degrees.

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4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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Answer:

The Team started at 1st and 10 but finished at 4th and 22, so they lost 12 yards in 3 plays.

Step-by-step explanation:

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Cost of cleaning and pressing x shirts = 6x

Cost of whole order with discount = y = 6x - 7

It's always worth taking advantage of the discount, so there is no minimum number of shirts required to make the discount worthwhile.

Assuming that the dry cleaner's special offer of $6 per shirt for cleaning and pressing applies to all shirts,

the total cost of cleaning and pressing n shirts would be 6n dollars.

Additionally, the special offer includes a discount of $7 off the entire order.

Therefore, the total cost C of cleaning and pressing n shirts after the discount would be:

C = 6n - 7

For example,

if you have 5 shirts to be cleaned,

the total cost before the discount would be $30 (5 x $6), and after the discount,

the total cost would be $23 (6 x 5 - 7).

Note that this assumes that the discount is applied after the cost of cleaning and pressing the shirts is calculated. If the discount is applied to each shirt individually, the total cost would be different.

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The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

I think ifs y<5 I did this question last year but if not I'm sorry I tried sorry if I'm late

Answer:

x <= 5

Step-by-step explanation:

1st step: Observe the line

The line drawn is vertical.

Hence, it must be in the form x = k , where k is a constant.

2nd step: The line passes through the coordinate (5, 0) along the x axis.

Hence, k is this case is 5.

The shaded region of the graph includes values of x lesser than or equal to 5. (left part of the graph)

Hence, the inequality satisfied by the shaded region is x <= 5. (y can be of any value)

Answer:

See Explanation

Step-by-step explanation:

\( \overline{CB} ||\overline {ED}... (GIVEN) \\

\& BD\:\&\: CE \: are \: transversals\\

\angle CBF\cong \angle EDF.. (alternate \: \angle 's) \\

\overline{CB} \cong \overline {ED}..... (GIVEN) \\

\angle BCF \cong \angle FED.. (alternate \: \angle 's) \\

\therefore \triangle CBF \cong \triangle EDF.. (By \: ASA\: Postulate) \)

Answer:  see proof below

Step-by-step explanation:

   Statement                     Reason

1. CB || ED                       1. Given

2. ∠E ≅ ∠C                     2. Alternate Interior Angle Postulate

3. ∠D ≅ ∠B                     3. Alternate Interior Angle Postulate

4. CB ≅ ED                     4. Given

5. ΔCBF ≅ ΔEDF            5. ASA Congruency Theorem

Answer:

\((2,-1.5)\)

Step-by-step explanation:

The midpoint formula goes as follows:

\((x,y)=(\frac{x1+x2}{2} , \frac{y1+y2}{2})\)

Lets plug in our values, let x1 be -3, x2 be 7, y1 be 2, y2 be -5.

\((\frac{-3+7}{2} , \frac{2+-5}{2})\)

Solve numerators

\((\frac{4}{2} , \frac{-3}{2})\)

Solve

\((2 , -1.5)\)

Therefore the midpoint must be at \((2,-1.5)\)

Given equaton is:

By solving it for z:

Answer:

1244 DCD

Step-by-step explanation:

To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:

n(t) = n0 * e^(kt)

Where:

n(t) is the population after t hours,

n0 is the initial population size,

e is the base of the natural logarithm (approximately 2.71828),

k is the growth rate constant.

We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:

\(9500 = 1100 * e^(k*1)\)

To find k, we can divide both sides by 1100:

9500/1100 = e^k

Now, we can solve for k by taking the natural logarithm (ln) of both sides:

ln(9500/1100) = ln(e^k)

ln(9500/1100) = k

Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):

\(n(t) = 1100 * e^(ln(9500/1100) * t)\)

To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:

\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)

To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:

\(20,000 = 1100 * e^(ln(9500/1100) * t)\)

Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.

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Answer:

68°

Step-by-step explanation:

PRQ = SRQ gives:

3x-8 = 2x+6

x = 6+8 = 14

So PRQ = SRQ = 34

and

PRS = PRQ+SRQ = 68

The graph of the equation y = -0.5x + 12 will be a straight line

The equation y = -0.5x + 12 represents a linear function

Based on the slope -0.5 this means that as the value of x increases, the value of y will decrease.

Additionally, since the y-intercept is 12, the line will cross the y-axis at the point (0, 12).

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Answer:

C. 3x + 2(2x + 3) = 9

Step-by-step explanation:

We are given the following relation:

y = 2x + 3

And we want to substitute into:

3x + 2y = 9.

So

\(3x + 2(2x + 3) = 9\)

Which is given by option C.