andrew sold $50 less than sarah did and evan sold $25 more than Sarah. these quantities can be communicated symbolically. if x= the amount that sarah sold, which of these represents the amount sold by the other two people?

A. andrew=50-x, Evan= x+25
B. Andrew=x-50, Evan=x+25
C. andrew=x-50, evan=25x
D. andrew=50-x, evan=25x​

Answer:

I think 53.334 ounces were added to dilute the lemonade

Answer:

y > 1/3x -3

Step-by-step explanation:

Just find the equation of the line, which is y = 1/3x -3, and then determine what the symbol is going to be. Since the line is dotted, it will either be < or >. When the shaded area is on top of the line, it's >. Remember that by saying left on the bottom or right on top.

Answer:

A

Step-by-step explanation:

a would be the correct answer to create a rectangle

Total No. of cards in a deck = 52

Total no. of suits = 4

Total number of cards in one suit = \(\frac{52}{4} \\\) = 13

Ways of selecting combinations of 4 from 13 hearts (combination) = \(\frac{13!}{9! 4!}\)

= 715

Ways of selecting combinations of 3 from 13 spades (combination) = \(\frac{13!}{10! 3!}\)

= 286

Combining the two independent choices, there are  715×286=204490

ways to select a seven-card hand with 4 hearts and 3 spades.

Ways of selecting 7 cards from 52 cards = \(\frac{52!}{7! 45!}\) = 133784560

Probability of getting 4 hearts and 3 spades on drwaing 7 cards from the deck = \(\frac{204490}{133784560}\) = 0.0015285 (approx.)

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Answer:

\(\large \boxed{\mathrm{view \ explanation}}\)

Step-by-step explanation:

Convert the decimal into a fraction, then multiply both fractions.

For example:

0.5 × 1/4

0.5 is also 5/10 or 1/2.

1/2 × 1/4

Multiply both fractions.

(1 × 1)/(2 × 4)

= 1/8

Answer:

⚪ 3x - 9 + 2x²

Step-by-step explanation:

It is a quadratic equation.

\(.\)

Answer:

B

Step-by-step explanation:

Since sin is opposite over hypotenuse, the side opposite of angle T is RS and the hypotenuse is RT.

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

Answer:

1/10

Step-by-step explanation:

4+6+3+5+2=20

so there are 2 brown M&M's

=2/20

= 1/10

I hope this helps a little bit.

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

\(m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\\)

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

\(m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25\)

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

The cost of polishing the floor of the square hall is ₹2343.75

The Side of Square Hall = 12.5 m

The cost of polishing the floor per meter sq. = ₹ 15

We have to find the cost of polishing the floor.

First we will calculate the area of floor of the square hall.

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units, with the standard unit being square meters (\(m^{2}\)).

Area of square=\((12.5)^2\)

Area of square =\(12.5 \times 12.5\)

Area of square =156.25

The area of the floor of Square Hall is 156.25 \(\mathrm{~m}^2$\)

Per square meter cost of polishing the floor is ₹15,

To find the cost of polishing the floor of the square hall of area 156.25 sq. m, simply multiply 15 by the area of the floor of the square hall.

Therefore, the cost of polishing,

=15×156025

=2343.75

Therefore, the cost of polishing is ₹2343.75.

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Find the cost of polishing the floor of a square hall at the rate of 15 per meter sq, if each side of the hall is 12.5 m.​

The declaration states that the value of Arc EFC = 253°.

A measure is indeed a quantitative concept used to express how large a collection is. Each unique measure represents a different method for determining how large a collection is. It would initially appear that a set's cardinality is the only logical way to determine its number.

We can tell we are working with a circular that has 360 degrees because of the connection.

We can infer that we have it if we look at that file.

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Therefore, Arc EFC = 253°

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The correct questions is:

Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

The rate at which the water was drained from the tank is 6 gallons of water per minute.

Given:

Draining Time (minutes)      10         30

Water in Tank (gallons)     450        330

According to the question,

Now, we calculating the rate at which water was drained at a constant rate.

Rate of water drained = \(\frac{Rate of change of water in Tank}{Rate of change Draining Time }\)

Rate of water drained = \(\frac{450 - 330}{30 - 10} = \frac{120}{20} = 6\)

The gallon is an important unit of measurement that continues to be used widely today. Specifically, it refers to the amount of space occupied by one US liquid gallon of water, which is equivalent to approximately 3.785 liters. The gallon is commonly used to measure liquids such as gasoline, milk, and water.

The term "gallon" has a long history, dating back to medieval England, where it was used to measure wine and beer. Over time, different countries and regions developed their own variations of the gallon, with the US liquid gallon being slightly larger than the UK imperial gallon. In addition to its use in everyday life, gallons are also used in various industries, including agriculture, manufacturing, and transportation.

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Complete Question:

A tank of water was drained at a constant rate. The table shows the number of gallons of water left in the tank after being drained for two amounts of time. Draining Time (minutes) Water in Tank (gallons) 10 450 30 330

Answer:

When the bottom of the fraction equals zero

Step-by-step explanation:

2/(x-3) the VA would be at x=3 because when x does x=3 the bottom is 0

Answer:

3500

Step-by-step explanation:

9 rounds up the number 4 to 5

3500

Answer:

3,500

Step-by-step explanation:

because 9 is greater than 5 so u would round upward and that 495 would become a 500 but theres also the 3,000 so add the two together and you would get 3,500

The equation that can be used to compute the number of pieces of jewellery is ($120 + $15q)/q = $20 .

Average cost is total cost divided by the quantity of jewellery sold.

Average cost = total cost / quantity

Total cost is the sum of fixed cost and variable cost.

Total cost = fixed cost + variable cost

The fixed cost is the cost of renting the stall. The variable cost is the cost of the materials.

Total cost = $120 + ($15 x q)

T = $120 + $15q

Average cost = ($120 + $15q)/q = $20

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To find the size of angle AOC, we can use the property that the angle subtended by an arc at the center of a circle is twice the angle subtended by the same arc at any point on the circumference.

Since angle ABC is given as 43 degrees, it is the angle subtended by arc AC at point B. Therefore, angle AOC will be twice angle ABC.

Angle AOC = 2 * angle ABC = 2 * 43 degrees = 86 degrees.

Hence, the size of angle AOC is 86 degrees.\(\)

Answer:

In 2007 it was 450 and 2011 it was 300

Step-by-step explanation:

So the change was 300 I think this correct

The solution to the system of equations is x = 9/7 and y = 11/7.

The given system of equations is:

3x + 2y = 7 (Equation 1)

x = 6 - 3y (Equation 2)

To find the solution, we will substitute the value of x from Equation 2 into Equation 1.

Substitute x = 6 - 3y into Equation 1:

3(6 - 3y) + 2y = 7

Now, simplify the equation:

18 - 9y + 2y = 7

-7y = 7 - 18

-7y = -11

Next, solve for y by dividing both sides by -7:

y = (-11) / (-7)

y = 11/7

Now that we have the value of y, we can find the value of x using Equation 2:

x = 6 - 3(11/7)

Calculate x:

x = 6 - 33/7

x = 42/7 - 33/7

x = (42 - 33) / 7

x = 9/7

So, the solution to the system of equations is x = 9/7 and y = 11/7.

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The solution (x, y) = (6, -11/2) should be selected.

To find the solution to the system of equations:

3x + 2y = 7 (Equation 1)

x = 6 (Equation 2)

We can substitute the value of x from Equation 2 into Equation 1:

3(6) + 2y = 7

Simplifying the equation:

18 + 2y = 7

Subtracting 18 from both sides:

2y = 7 - 18

2y = -11

Dividing both sides by 2:

y = -11/2

So the value of y is -11/2.

Now, substitute the value of y into Equation 2 to find the value of x:

x = 6

Therefore, the solution to the system of equations is x = 6 and y = -11/2.

In the given group of answer choices, the solution (x, y) = (6, -11/2) should be selected.

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The accurate diagram of the end of the roof will given a side length of 6.2 cm, 6.2 cm and 8 cm.

The accurate diagram of the end of the roof is determined by constructing the given angles of the triangle and the corresponding side lengths of the triangle.

Since the base angles of the triangle are equal, the two opposite side length of the triangle must be equal.

To construct the triangular diagram of the end of the roof we will follow the steps below;

Thus, the accurate diagram of the end of the roof will given a side length of 6.2 cm, 6.2 cm and 8 cm.

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Answer:

she has 228 in all. but i do not know how much she has after she ate some

Answer:

It is 3/4

Step-by-step explanation:

You take the 3/4 out of the 1 and are left with 1/4 and then add that to the 1/2 and you get 3/4

Answer:

A

Step-by-step explanation:

The extreme value theorem can be applied on an interval if the function is continuous in the entire interval. Testing the continuity for each function, we get that the correct option is the third option.

Continuity:

A function f is continuous at an interval if all points in the interval are in the domain of the function, and, for each point of \(x^{\ast}\), the limit exists and:

\(\lim_{x \rightarrow x^{\ast}} = f(x^{\ast})\)

First function:

At \(x = 4\), the denominator is 0, and so, the extreme value theorem cannot be applied.

Second function:

At \(x = 5\), the denominator is 0, and so, the extreme value theorem cannot be applied.

Third function:

The only point there can be a discontinuity is at \(x = 4\), where the definition of the function changes. First we have to find the lateral limits, and if they are equal, the limits exist:

To the left(-), it is less than 4, so we take the definition for x < 4.

To the right(+), it is more than 4, so we take the definition for x >= 4.

\(\lim_{x \rightarrow 4^{-}} h(x) = \lim_{x \rightarrow 4} \frac{9x}{10-x} = \frac{9*4}{10-4} = \frac{36}{6} = 6\)

\(\lim_{x \rightarrow 4^{+}} h(x) = \lim_{x \rightarrow 4} x + 2 = 4 + 2 = 6\)

The lateral limits are equal, so the limit exists, and it's value is 6.

The definition at \(x = 4\) is \(h(x) = x + 2\), so \(h(4) = 4 + 2 = 6\).

Since \(\lim_{x \rightarrow 4} = h(4)\), the function is continuous over the entire interval, and this is the correct answer.

Fourth function:

There can be a discontinuity at \(x = 5\), so we test the limits:

\(\lim_{x \rightarrow 5^{-}} h(x) = \lim_{x \rightarrow 5} -x = -5\)

\(\lim_{x \rightarrow 5^{+}} h(x) = \lim_{x \rightarrow 5} x^2 - 20 = 5^2 - 20 = 25 - 20 = 5\)

Different limits, so the limit does not exist and the function is not continuous at \(x = 5\), and the extreme value theorem cannot be applied.

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Given

Solving, step-by-step

The graph is attached.

Given is a triangle ABC, we need to find its coordinates if it is reflected over y = -x,

The rule of reflection over y = -x is,

(x, y) = (-x, -y)

So,

A = (-5, -4)

B = (1, -4)

C = (-1, -5)

After reflection,

A' = (5, 4)

B' = (-1, 4)

C' = (1, 5)

Hence the points after reflection are A' = (5, 4), B' = (-1, 4) and C' = (1, 5)

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The statement which best describes the end behavior of the function given is option C. The graph of the function starts low and ends high.

End behavior of a function is the statement which describes the behavior of the graph of the function towards the end of the X axis.

Given function is,

F(x) = 3x⁵ + 4x³ - x + 11

We have to find the behavior of the function as x value approaches to infinity or negative infinity.

The end behavior of a polynomial is same as the end behavior of the monomial which is the leading term.

Here the leading term is 3x⁵.

As x approaches infinity, 3x⁵ also approaches infinity.

As x approaches negative infinity, 3x⁵ approaches negative infinity, since the power is negative.

So the function starts at low and end at high.

Hence the correct statement is C. The graph of the function starts low and ends high.

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Your question misses something. The complete question is given below.

Which statement best describes the end behavior of the following function?

F(x)= 3x^5 + 4x^3 - x + 11

A. The graph of the function starts low and ends low.

B. The graph of the function starts high and ends low.

C. The graph of the function starts low and ends high.

D. The graph of the function starts high and ends high.

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:4,6 will be 8,12. -10, 8 will be -20, 16

Step-by-step explanation: