Sela's piano lesson starts at 4:45pm. The lesson is 30 minutes long. When does her lesson end

Answers

Answer 1

Answer:

5:15

Step-by-step explanation:

Split the 30 mins in half. 45+15 = 60 (a new hour) Now, its 5:00. Add 15 and you get the answer.

Answer 2

Answer:

Step-by-step explanatio


Related Questions

Solve this system of equations using substitution
y = - 4
x + 2y = 10
Step 1: Substitute for y in the second equation. Which is
the resulting equation?

Answers

Answer:

x + 2(-4) = 10

x - 8 = 10

x = -18

y = -4

(-18, -4)

Step-by-step explanation:

Answer:

x + 2(-4) = 10

Step-by-step explanation:

Substituting -4 for y in the second equation results in x + 2(-4) = 10.  This simplifies to x - 8 = 10 and then x = 18.

Please, when the problem statement includes possible answer choices, share them.

emma will roll two number cubes labeled 1 through 6. She will record the sum of the two numbers after each roll. She will roll the two cubes 540 times. How many times should Emma expect the sum to equal 5?

Answers

Answer:

75 times

Step-by-step explanation:

First of all let's ook at the 36 possible outcomes and their sums.

2=1,1

3=1,2 2,1

4=1,3 ; 2,2 ; 3,1

5=1,4 ; 2,3 ; 3,2 ; 4,1

6=1,5 ; 2,4 ; 3,3 ; 4,2 ; 5,1

7=1,6 ; 2,5 ; 3,4 ; 4,3 ; 5,2 ; 6,1

8=2,6 ; 3,5 ; 4,4 ; 5,3 ; 6,2

9=3,6 ; 4,5 ; 5,4 ; 6,3

10=4,6 ; 5,5 ; 6,4

11=5,6 ; 6,5

12=6,6

Looking at the above, there are 4 sums equal to 5 out of a total of 36 sums.

Thus, probability of getting a sum equal to 5 is;

P(5) = 5/36

Now,since the cubes are rolled 540 times, number of times a sum equal to 5 will appear will be;

(5/36) x 540 = 75 times

Original price of a book: $90.50
Tax: 4%

Answers

Answer:

The tax is $3.62

So the price now is $94.12‬

Answer:

$94.12

Step-by-step explanation:

If the original price is $90.5 then you would have to multiply

90.50*104%,you multiply 104% because 100% is sopposed to be the original price and the tax adds up the price by 4% so,

100%+4%=104%

104%*90.50=$94.12

best estimate for the quotient of 2 5/6 divided by 1/3

Answers

Answer:

the best answer for this is 8.5, if you choose to round up it would be about 9

Step-by-step explanation:

Final answer:

To estimate the quotient of 2 5/6 divided by 1/3, convert the mixed number to an improper fraction and multiply by the reciprocal of the divisor.

Explanation:

To find the best estimate for the quotient of  2 ⅝ divided by ⅓, we can convert the mixed number to an improper fraction and then multiply by the reciprocal of the divisor. First, convert 2 ⅝ to an improper fraction: 2 x 6 + 5 = 17/6. Next, multiply 17/6 by the reciprocal of 1/3: 17/6 x 3/1 = 51/6. Simplifying the fraction gives the answer as 8 1/2. Therefore, the best estimate for the quotient is 8 1/2.

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From a standard deck of cards, what is the probability of choosing...
a) a red and then a club without replacement?
b) a 3, then a 7, then a face card without replacement?
c) a diamond, then a heart, then a black card without replacement?
d) a number card then a face card with replacement?

You have to answer a,b,c, and d to get the full amount of 50 points!!! good luck!

Answers

Answer:

a) 13/102

b) 24/16575

c) 169/5100

d) 30/169

Step-by-step explanation:

a) 26/52 × 13/51

13/102

b) 4/52 × 4/51 × 12/50

1/13 × 4/51 × 6/25

24/16575

c) 13/52 × 13/51 × 26/50

1/4 × 13/51 × 13/25

169/5100

d) 40/52 × 12/52

10/13 × 3/13

30/169

Answer:

13/102

8/5525

169/5100

10/39

Step-by-step explanation:

a.  there are 26 red cards in a standard deck  and 13 clubs

P (red) = 26/52 =1/2

Then we keep the card, so there are only 51 cards left

P ( club) = 13/51

P (red, no replacement, club) = P (red) * P(club) = 1/2 *13/51 = 13/102

b.  there are 4 three's in a standard deck  4 7's 12 face cards, assuming an A is not a face card  (jack , queen king are face cards, 1 of each suit 3*4 =12)

P (3) = 4/52 =1/13

Then we keep the card, so there are only 51 cards left

P (7) = 4/51

Then we keep the card, so there are only 50 cards left

P (face card) = 12/50 = 6/25

P (3, no replacement, 7,no replacement, face)

 = P (3) * P(7)* P (face) = 1/13 *4/51*6/25 =8/5525

c.  there are 13 diamonds in a standard deck  13 hearts and 26 black cards

P (diamond) = 13/52 =1/4

Then we keep the card, so there are only 51 cards left

P (heart) = 13/51

Then we keep the card, so there are only 50 cards left

P (black) = 26/50 = 13/25

P (diamond, no replace, heart,no replace, black)

 = P (diamond) * P(heart)* P (black) = 1/4*13/51*13/25 =169/5100

d  assuming an aces is a number card

there are 40 number cards and 12 face cards

P (number) = 40/52 =10/13

Then we keep replace card, so there are 52 cards left

P ( face) = 12/52=1/3

P (number, replace, face) = 10/13 * 1/3 =10/39

​[related to solved problem ​#3​] suppose that andy sells basketballs in the perfectly competitive basketball market. his output per day and his costs are as​ follows: output per day total cost variable cost average total cost average variable cost marginal cost 0 ​$10.00 ​$0 ​-- ​-- ​-- 1 15.00 5 ​$15.00 ​$5.00 ​$5.00 2 17.50 7.50 8.75 3.75 2.50 3 22.50 12.50 7.50 4.17 5.00 4 30.00 20.00 7.50 5.00 7.50 5 40.00 30.00 8.00 6.00 10.00 6 52.50 42.50 8.75 7.08 12.50 7 67.50 57.50 9.64 8.21 15.00 8 85.00 75.00 10.63 9.38 17.50 9 105.00 95.00 11.67 10.56 20.00 suppose the equilibrium price of basketballs is​ $2.50. in the short​ run, how many basketballs will andy​ produce? 22 ​(enter a whole​ number).

Answers

Final answer:

In a perfectly competitive market, Andy will produce two basketballs in the short run, as this is the quantity at which the marginal cost equals the equilibrium price of $2.50.

Explanation:

In a perfectly competitive market, a firm like Andy's basketball business should continue to produce and sell its product as long as the marginal cost (MC) of producing an additional unit is less than or equal to the market price, and stop at the point where MC equals the market price. Given that the equilibrium price of basketballs is $2.50, and looking at the provided information where various costs are outlined, we can determine how many basketballs Andy should produce.

Andy should look at the marginal cost for each output level and compare it to the equilibrium price. He will produce up to the point where marginal cost equals the equilibrium price. The table shows the last unit he should produce at a marginal cost of $2.50 is the second basketball. Producing the third basketball would have a marginal cost of $5.00, which is higher than the equilibrium price, indicating that producing the third basketball would lead to a loss. Therefore, in the short run, Andy will produce two basketballs per day.

Jane is is charge of making a banner for the basketball game this Saturday. She measures how long the banner is before painting it. She finds it measures 10 meters, which measurement did Jane find?

Answers

Answer:

The measurement which Jane finds to be 10 meters is the length of the banner.

Step-by-step explanation:

The measurement of 10 meters which Jane found after measuring how long the banner is before painting is the LENGTH of the banner.

This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.

It is possible to find the AREA, or PERIMETER, or LENGTH.

But what she finds is the LENGTH of the banner. If it was Area or Perimeter, the unit would have been square meters.

Answer:

length

Step-by-step explanation:

for answer above: TYSM I NEEDED THAT SO BADLY i struggled with math my entire life and hardly understand when people teach math  that really helped explain that problem tysm!!!

Distributive property for
14x+21y+7z

Answers

Answer:

7(2x+3y+z)

Step-by-step explanation:

PLEASE HELP!!! SHOW ALL YOUR WORK WORTH 30 Points!!!!

Answers

Answer:

A

1) horizontal translation of 2 units towards left

2) vertical translation of 10 units upwards

B)

1) k = -2

2) k = 10

C)

1) g(x) = f(x + 2)

2) g(x) = f(x) + 10

Step-by-step explanation:

A & B)

1) horizontal translation of 2 units towards left

2) vertical translation of 10 units upwards

C)

1) g(x) = f(x + 2)

2) g(x) = f(x) + 10

Express the square root 75 in
simplest radical form.

Answers

The square root of 75 is approximately 8.66025 or 5√3 in radical form.

The square root 75 in  simplest radical form will be [tex]5\sqrt{3}[/tex].

We have to Express the square root 75 in  simplest radical form.

We know that An expression that uses a root, such as a square root, cube root is known as a radical notation.

First find the factors of 75.

The factors of 75 will be,

[tex]3\times5\times5[/tex].

Now,

[tex]\sqrt{75} =\sqrt{3\times5\times5}[/tex]

since 5 is in pair under the root so it will come out from the root,

[tex]\sqrt{75}=5\sqrt{3}[/tex]

Thus the simplified radical form is [tex]5\sqrt{3}[/tex].

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The sound intensity of rustling leaves is 100 times the reference intensity use your graph to determine the sound intensity of wrestling we use in the decibels

Answers

We can begin by noting a few things:

• dB represents the sound intensity in decibels

• I represents intensity

• I0 represents reference intensity

Assuming the reference intensity (I0) is the base level of hearing represented by the equation 1 • 10^(-12) watts per meter^2, we can incorporate 100 into the equation.

If the sound intensity of rustling leaves (I) is 100 times the reference intensity (I0), we can set up an equation to solve:

I = 100 • 10^(-12)

Now to calculate the intensity of rustling leaves in decibels:

dB = 10 • log10(100 • (1 • 10^(-12)) / (1 • 10^(-12)))

dB = 10 • log10(100) = 10 • 2 = 20 dB

Therefore, the sound intensity of rustling leaves is 20 decibels.

A baby gains 11 pounds in its firat year of life. The baby gained 4 pounds during the first four months and
second four months. How much did the baby gain in the last four months?
3 1/4 pounds
3 1/2 pounds


4 pounds
5 pounds




Answers

Answer:

I think it's 3.5

Step-by-step explanation:

PLZ IF ANY1 HELPS ME ON THIS ASAP GETS 25 POINTS

Answers

1 odd number

2 prime number

3 odd number and prime number

4 none (is out of the diagram)

5 odd number and prime number

Answer:

Ok here's the answer

Step-by-step explanation:

Odd numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers, when divided by 2, leave a remainder of 1. 1, 3, 5, 7, 9, 11, 13, 15 … are sequential odd numbers. Odd numbers have the digits 1, 3, 5, 7 or 9 in their ones place.

Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101,

so you need to put 1 in the odd number section

put 2 in the prime number section

put 3 in the middle section which is the similarities

don't put 4 anywhere because it's neither an odd number nor a prime number

put 5 in the middle section which is the similarities

6.7 is 10% of what number

Answers

Answer:

the answer is 67

Step-by-step explanation:

hope it's helpful

The answer is 67 , hope it helps !

When you start choose a pokemon starter in this game
there your choices are: Bulbasaur (green one), Squirtle
(blue one), & Charmander (red one). If you chose one
at random, what would be the probability of choosing
Squirtle?​

Answers

A 1 in 3 chance or 33.33%

Answer:

1/3 or 33.3%

Step-by-step explanation:

theres 3 total, and one squirtle so it's 1/3

NEED HELP ASAP!!
Which of the following is the correct expanded form for the series below?
a. 0 + 1 + 4 + 9 + 3
b. (0 + 3) +(1 + 3) + (4 + 3) + (9 + 3)
c. 1 + 3 + 9 + 27 + 3
d. (0 +3) + (2 + 3) + (4 + 3) + (6 + 3)

Answers

Answer: A

Step-by-step explanation:

The expanded form for the series is 0 + 1+ 4 + 9 +3

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

[tex]_3\\\sum{n^2}+3\\n=0[/tex]

⇒(0)² + (1)² + (2)² + (3)² +3

0 +1+ 4 + 9 +3

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Is the following function exponential? *
3) y=7x-3

Answers

Answer:

Step-by-step explanation:

Both x and y have the exponent 1, and therefore this is a LINEAR equation.  NO, it is not an exponential function.

Final answer:

The function y=7x-3 is not an exponential function; it is a linear function with a slope of 7 and a y-intercept of -3.

Explanation:

The function given is y=7x-3. To determine whether this function is exponential, we should look at the form of the function. An exponential function has the form y = abˣ, where a is a constant, b is the base of the exponential (which is a positive real number other than 1), and x is the exponent. The given function, however, is a linear function because it can be rewritten in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, m (the slope) is 7, and b (the y-intercept) is -3. Therefore, y=7x-3 is not an exponential function; it is linear.

Jill spent of her money on a new shirt end of her Money on pants with a fraction of her money has she spent money on pants what fraction of her money has she spent

Answers

Answer:

This means Jill has spent exactly half of her money and she has exactly half of her money too left.

The fraction of her money she has spent = (1/2)

Step-by-step explanation:

The total fraction of money Jill has spent = (fraction of money she spent on a new shirt) + (fraction of money she spent on pants) = (1/6) + (1/3) = (3/6) = (1/2)

This means Jill has spent exactly half of her money and she has exactly half of her money too left.

Hope this Helps!!!

Help me prove that sec(a-b) =seca*secb/1+tana*tanb​

Answers

Use:

[tex] sec a=\frac{1}{cos a}[/tex]

Answer:

See below.

Step-by-step explanation:

Write the sec's as 1 / cos  and the tan's as sin / cos

I will write sin as s and cos as c:

Left side  =  1 / ( cos)a - b)  =     1  / (ca cb + sa sb)

Right side =    1  /  (  ca cb ( 1 + sa sb / ca cb))

=  1 / ( ca cb *  ( ca cb + sa sb) / ca cb)

The 'ca cb' cancels out so

Right side = 1 / (ca cb + sa sb)  = left side..

Sarah saved $15 buying the dress
at a 20%-off sale. What was the
regular price of the dress?

Answers

Answer:

$18

Step-by-step explanation:

since she saved 20% you turn the percentage into a decimal which is .20 then multiply it by 15 because that's how much she saved and you get $3 which you add to $15 and you get the regular price which is $18

The price is $18 because you change the 20% to .20 and multiply it by 15 which gives you $3and then you add which gives you your answer.

the common ratio in a geometric series is 4 and the first term is 3 find the sum of the first 8 terms in the series

Answers

Answer:It’s b

Step-by-step explanation:

Girl it’s sum

Answer: 65535

Step-by-step explanation:


help with properties of rhombus,rectangles and squares ​

Answers

Answer:

a = 3

b = 4

c = 5

Step-by-step explanation:

This is a rhombus. A property of a rhombus is that their diagonals perpendicularly bisect each other. In other words, if the point in the center is A, then HA = MA and EA = OA. So: 3 = a and 4 = b.

Since angle HAO forms a right angle, we can use the Pythagorean Theorem to say that HA^2 + AO^2 = OH^2: 3^2 + 4^2 = 9 + 16 = 25.

OH^2 = 25

OH = 5

Hope this helps!

Answer:

a = 3

b = 4

c = 5

Step-by-step explanation:

Rhombus has all sides equal

c = EH = sqrt(4² + 3²) = 5

Diagonals are Perpendicular bisectors of each other

b = 4

a = 3

4. Entomologists introduce 20 of one
variety of insect to a region and determine
that the population doubles every 6
hours.

part A Write an equation to model
this situation. Assume that the soulation
is continuously growing, and let t Represent
days.

part B What will the population be in 10 days?

part C How long will it take until the population reaches 100000?​

Answers

Answer:

This number can be found using the Rule of 70, which describes the formula dt = 70 / r, where dt is the doubling time, and r is the annual rate of growth.

Step-by-step explanation:

24/6 = 4

20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320

20 ---> 320 in the first day.

Keep doing this equation. Multiply each day's end result by 2 four times for 9 more days.

What is the area of this composite figure?

A figure is comprised of 1 rectangle and 2 triangles. The rectangle has a length of 16 centimeters and width of 10 centimeters. Both triangles have a base of 16 centimeters and height of 6 centimeters.
96 centimeters squared
160 centimeters squared
208 centimeters squared
256 centimeters squared

Answers

Answer:

256 cm squared

Step-by-step explanation:

Just did the Quiz, hope this helps!

The area of this composite figure is 256 centimeters squared, the correct option is D.

How to calculate the surface area of a composite figure?

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]

That ∑ sign shows "sum"

We are given that;

Measure of rectangle = 16x10

Measure of triangle base of 16 centimeters and height of 6 centimeters.

Now,

The area of the composite figure can be calculated by adding the area of the rectangle and the area of the two triangles.

The area of the rectangle is 16 * 10 = 160 cm^2. The area of one triangle is 1/2 * 16 * 6 = 48 cm^2. The area of two triangles is 2 * 48 = 96 cm^2.

160 + 96 = 256 cm^2.

Therefore, by the given composite figure the answer will be 256 centimeters squared.

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Adam recorded the number of flower blooms on each of his ten rose bushes. 9, 10, 4, 12, 15, 17, 18, 10, 12, 13 If he combined the number of blooms into one data set, which box plot correctly displays the data? A) A B) B C) C D) D

Answers

Answer:

The correct option is;

A)

Step-by-step explanation:

The box plot diagram will be constructed as follows

From the question data we have that;

9, 10, 4, 12, 15, 17, 18, 10, 12, 13

Rearranging we have

4, 9, 10, 10,  12, 12, 13, 15, 17,18,

The minimum = 4

The maximum = 18

Median = 12

The lower quartile Q₁ = 10

The upper quartile Q₂ = 15

Therefore, the correct option  for the flower blooms on Rose brushes is A.

Answer:

The box plot that correctly displays the data is A.

Correct statement, question and graph:

Adam recorded the number of flower blooms on each of his ten rose bushes.  

9, 10, 4, 12, 15, 17, 18, 10, 12, 13  

If he combined the number of blooms into one data set, which box plot correctly displays the data?

A)

B)

C)

D)

Source:

Previous question that can be found at brainly

Step-by-step explanation:

1. Let's order the data from smallest to largest.

4, 9, 10, 10, 12, 12, 13, 15, 17, 18

2. Let's find the median, this way:

Median = (5th number + 6th number)/2

Median = 12 + 12/2 = 24/2 = 12

3. Let's find out the quartiles.

The first quartile is the median of the data points to the left of the median.

4, 9, 10, 10, 12

Q₁ = 10

The third quartile is the median of the data points to the right of the median.

12, 13, 15, 17, 18

Q₃ = 15

The box plot that correctly displays Q₁, median and Q₃ is box plot A.

In Box B, Q₁ = 9, median = 10 and Q₃ = 14In Box C, Q₁ = 9, median = 10 and Q₃ = 12 with values from 6 to 12In Box D, Q₁ = 5, median = 9 and Q₃ = 14

1. What is 26% written as a decimal?

Answers

Answer:

.26 = 26%     hope this helps!   :)

Step-by-step explanation:

.26

100 = 1.00

26 = .26

you just move the decimal point over 2

Answer:

26% = 0.26 in decimal form

Step-by-step explanation:

You just put a 0. in front of it,

take .26

Then 100 = 1.00

and 26 = .26

Hope This Helps:)

Would appreciate brainliest!!:)

Find the radius r of the sphere.

Answers

Given:

The volume of the sphere = 12348π in³

To find the radius of the sphere.

Formula

The volume of a sphere of radius r is

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

According to the problem,

[tex]\frac{4}{3} \pi r^{3} = 12348\pi[/tex]

Eliminating π from both the side.

or, [tex]\frac{4}{3} r^{3}= 12348[/tex]

or, [tex]r^{3}=\frac{(12348)(3)}{4}[/tex]

or, [tex]r^{3}=9641[/tex]

or, [tex]r=\sqrt[3]{9261}[/tex]

or, [tex]r=21[/tex]

Hence,

The radius of the sphere is 21 inches.

Answer:

21 inches

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We know the volume

12348 pi = 4/3 pi r^3

Divide each side by pi

12348 pi/pi = 4/3 pi r^3 /pi

12348  = 4/3 r^3

Multiply each side by 3/4

12348 *3/4 = 4/3*3/4 r^3

9261 = r^3

Take the cubed root of each side

9261^ (1/3 ) = r^3 ^1/3

21 =r

¿Cuál es el valor de la razón de cambio cuando tenemos un vaso con agua a temperatura ambiente al congelador por 15 minutos?

Answers

Answer: [tex]2 \°C/min[/tex]

Step-by-step explanation:

The rate of change is a measure in which one variable is modified in relation to another. In this case we have the variables:

Temperature in [tex]\°C[/tex]

Time in [tex]min[/tex]

Now, to calculate the rate of change, we have to divide one variable by the other. In this case the change in temperature [tex]\Delta T[/tex] divided by the time variation [tex]\Delta t[/tex].

Hence, assuming the ambient temperature of the glass is [tex]30 \°C[/tex] and the elapsed time [tex]15 min[/tex] we have:

[tex]\frac{\Delta T}{\Delta t}=\frac{30 \°C}{15 min}=2 \frac{\°C}{min}[/tex]

Nathan read 2 books in 10 months. What was his rate of reading in books per month

Answers

Answer:The rate of reading a book per month = [tex]\frac{1}{5}[/tex] = 20%

Step-by-step explanation:

Nathan read 2 books in 10 months.

The time taken to complete 1 book = [tex]\frac{10}{2}[/tex] = 5 months

To complete 1 book it takes 5 months.

The rate of reading a book per month = [tex]\frac{1}{5}[/tex] = 20%

Two apples and five bananas cost £4.20
Three apples and seven bananas cost £5.95
Work out the cost of an apple and the cost of a banana

Answers

Here is the answer :))

The cost of an apple is 0.7 dollars and the cost of a banana is 0.35 dollars.

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, Two apples and five bananas cost £4.20.

Assuming no. of apples to be x and no. of bananas to be y.

2x + 5y = 4.20...(i) and,

Three apples and seven bananas cost £5.95.

3x + 7y = 5.95...(ii)

Now multiplying eqn(i) by 3 and eqn(ii) by 2 to cancel out x in both equations.

So, 6x + 15y = 12.6...(iii) and 6x + 14y = 11.9...(iv)

Subtracting eqn(iv) from eqn(iii) we get y = 0.7 and substituting value of y in eqn(iv) we get x = 0.35

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What is the range of the data below?60708090100ooooHelp! A dona da casa uma rainha de raa misteriosa, toda enrolada em seda branca das espduas ponta dos ps. Com diadema de rosas e diamantes, continuar sentada em seu trono. narrativo, dissertativo e dissertativo?. Find the median of the data.12, 33, 18, 28, 29, 12, 17, 4, 2The median is How do you graph Y=x^2-4x+3 Find the absolute value.|-89= 0please help thank you Blue Split sells ice cream cones in a variety of flavours. The following are data for a recent week: Revenue (1,000 cones at $1.85 each) $1,850 Cost of ingredients $660 Rent 540 Store attendant 640 1,840 Pretax income $10 The manager estimates that if she were to increase the price of cones from $1.85 to $2.02 each, weekly volume would be cut to 850 cones due to competition from other nearby ice cream shops. Estimate the profit-maximizing price per cone. please help????????????? (05.02 MC) Which of these reflects a democratic principle? (4 points) Once appointed, a Roman senator could stay in office for life. Patricians had certain rights that plebeians did not have. Roman citizens gathered to vote at legislative assemblies. Some Roman slaves were freed by their owners. Mrs. Renfro's, Inc., is a company that sells 25 different relishes in 45 different states. Mrs. Renfro's chipotle corn salsa is so popular that the company cannot make enough to keep its resellers stocked. Its price of $4.50 for a jar seems just right to consumers who savor its hot and spicy taste. The popularity of hot and spicy food is an example of a __________ that Mrs. Renfro's has taken advantage of to make its product a success. Question 3: Sams Retails has the following data available as of 30 June 2019. Required: From the data, establish an income statement and a balance sheetSams Retails Data as of 30 June 2019 SalesAdministration expense Shop LeaseCash at BankCosts of Good Sold Wages and salaries Accounts payables Miscellaneous Expense Land and buildings542,000 1,500 24,000 175,000 274,000 38,500 15,050 2,500 127,000 Supplies expensesPrepaid by a client for the company service Prepaid InsuranceVehiclesMortgageSuppliesAccount receivables600 15,000 3,000 34,000 320,000 45,000 102,000 Note: Company income tax 30%, during the accounting period. The company has paid 2.5% of interest on the mortgage. Profit is retained for further investment Which equation represents a circle with a center at (2,-8) and a radius of 11?(x 8)2 + (y + 2)2 = 11(x - 2)2 + (y + 8)2 = 121(x + 2)2 + (y - 3)2 = 11(X + 8)2 + (y - 2)2 = 121 How did life in Germany change for Jewish people after 1933 2. One of the most fundamental determinants of the exchange rate is ______________ whereby the exchange rate between the currencies of two countries is in equilibrium when it equates the prices of a basket of goods and services in both countries. Suppose that the revenue function for a certain product is given by R(x) = 17(2x + 1)1 + 34x 17 where x is in thousands of units and R is in thousands of dollars. (a) Find the marginal revenue (in thousands of dollars) when 2000 units are sold. $ 34 Incorrect: Your answer is incorrect. thousand (b) How does the revenue change when 2000 units are sold? Justin did push-ups every weekday this week. He did 888 push-ups on Monday, 14 push-ups on Tuesday, 18 push-ups on Wednesday, 6 push-ups on Thursday, and 8 push-ups on Friday.Find the mean number of push-ups. The product of two numbers is 161. The difference between the two is 16. What are the two numbers? A bat locates insects by emitting 25.3 kHz ultrasonic chirps and then listening for echoes from insects flying around it. Humans can hear sounds with frequencies up to 20 kHz. How fast would a bat have to fly and in which direction (positive away from and negative towards a stationary human listener) in order for a person to hear these chirps Mr. Thomas cooked 36 hamburgers and hot dogs at a cookout. He cooked twice as many hot dogs as hamburgers. How many hamburgers and hot dogs were cooked? (Use Substitution)A. (24 hamburgers, 12 hot dogs)B. (12 hamburgers, 24 hot dogs)C. (6 hamburgers, 12 hot dogs)D. (12 hamburgers, 6 hot dogs) How do newton's laws relate to speed, velocity and acceleration? As joint depositors, you and your spouse have two savings accounts (one with a balance of $250,000, and one with a balance of $350,000) deposited in the federally insured SFL Bank. This bank has failed and has nothing left because it paid interest rates that were too high. Altogether, how much money will you and your spouse receive from the Federal Deposit Insurance Corporation (FDIC)?