What is the value of p?

What Is The Value Of P?

Answers

Answer 1
The equal of all angles is 180 so A=90 and B=180-125=55 so the answer is D = 35
Answer 2

Answer:

Step-by-step explanation:

What Is The Value Of P?

Related Questions

if a rectangular painting is 3 feet long and 5/6 foot wide what is the area of the painting

Answers

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

Simplify 5x+3x+2y+4y halp

Answers

Answer:

8x+6y

Step-by-step explanation:

5x+3x+2y+4y

5x+3x= 8x

2y+4y= 6y

The simplified the expression is 2(4x+ 3y).

What is expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

5x+3x+2y+4y

Now, moving the like terms aside

As, 5x + 3x are one pair

and, 2y+ 4y is second like term pair

So, 5x+3x+2y+4y

= (5x+ 3x) + (2y+ 4y)

= x(5 +3)+ y (2+4)

= x(8)+ y(6)

= 8x+ 6y

= 2(4x+ 3y)

Hence, the simplified the expression is 2(4x+ 3y).

Learn more about Expression here:

https://brainly.com/question/14083225

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Solve for the value of x that would make line a parallel to line t?

Answers

Answer:

The value of [tex]x[/tex]:

[tex]x = 44[/tex]

Step-by-step explanation:

Find the value of [tex]x[/tex]:

[tex]2(x + 10) = 3(x-8)[/tex]

Use Distributive Property:

[tex]2(x + 10) = 3(x-8)[/tex]

[tex]2x +20 = 3x - 24[/tex]

-Subtract both sides by [tex]3x[/tex] and combine both [tex]2x[/tex] and [tex]-3x[/tex] together:

[tex]2x +20 - 3x = 3x - 3x - 24[/tex]

[tex]-x + 20 = -24[/tex]

-Subtract both sides by [tex]20[/tex]:

[tex]-x + 20 - 20 = - 24 - 20[/tex]

[tex]-x = -44[/tex]

Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-44}{-1}[/tex]

[tex]x = 44[/tex]

So, the final answer would be [tex]x = 44[/tex].

Simplify the expression 4x3× 2x3

Answers

Answer:

8 x^6

Step-by-step explanation:

4x^3× 2x^3

Multiply the numbers

4*2 = 8

Then the variables

x^3 * x^3 = x^(3+3) = x^6

8 x^6

Answer:

[tex]8x^{6}[/tex] (I am assuming you meant [tex]4x^3*2x^3[/tex]

Step-by-step explanation:

First you multiply the coefficients 4 and 2 which equals 8

Then you multiply the x's and when you multiply variables that are raised to powers you add the powers

so [tex]x^3*x^3 = x^(3+3)[/tex]

Putting this together you get [tex]8x^{6}[/tex]

TRIG PROBLEM: Help me solve this, please. I will give Brainliest!
Please show all work. I have no idea where to start :(

Answers

Let's start with part a, finding the maximum and minimum.

Answer a: Max temp is -5 C on day 200.  Min temp is -79 C on day 500.

Sine model.

We're looking for a model

T(n) = A sin( ωn - p ) + o

where T(n) is the estimated temperature on day n, A the amplitude of the variation, omega the radial frequency of variation, p a phase shift and o an offset, the average temperature.

Averaging min and max gives -42 C; that's the offset, what we get when the sine is zero.  o = -42 C.

That's pretty close to the value on day 0 so we'll just use a sine function without any phase shift, p = 0.

Subtracting min from max gives a total span of 74 C degrees, so a sinusoidal amplitude that's half that, A = 37 C.

From max to min is a half period, or about a half period since we're only seeing every 100 days.  That's 300 days, so a full cycle about every 600 days.

We want the argument to sine to go from 0 to 2pi as we complete a single period, 600 days,  So when n=600 this term must be 2π, so it's of the form

ωn = 2 π n / 600.

Putting it all together we get our model:

Answer b: T(n) = 37 sin(2 π n / 600) - 42

We already estimated the period at 600 days.  That's a full year.

Answer c: 600 days

We can see a full period is closer to 700 days (compare day 500 and day 1200, and also day 600 and day 1300) and the phase shift might need adjusting, but I think we pretty much did as they asked so I'll stop here.

what does it mean by bisecting angles​

Answers

Answer: A line that splits an angle into two equal angles.

Step-by-step explanation:  ("Bisect" means to divide into two equal parts.)

Bisecting angles: A line that splits an angle into two equal angles.

What is the probability brittnie gets at least 35 hits in her next 100 at bats? (round to 3 decimal places.)?

Answers

Answer:

0.350

Step-by-step explanation:

Probability is defined as the chances that an event will occur or not occur. The entire idea of probability has to do with 'chance' events. Thus, the probability that an event will surely occur is 1, while the probability that an event will never occur is zero. Probabilities range between 0-1.

Probability of an event is obtained from

Probability= expected outcome/total number of outcomes

In this case,

Expected outcome= 35

Total number of outcomes = 100

Probability= 35/100= 0.350

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre

Answers

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

[tex]x_1=3, y_1=1.5\\x_2=5, y_2=2.5[/tex]

Change in x coordinate = [tex]x_2-x_1=5-3 = 2[/tex]

i.e. total time taken is 2 hours.

Change in y coordinate = [tex]y_2-y_1=2.5-1.5 = 1[/tex]

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1)  It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = [tex]\frac{1}{2}[/tex] acre i.e. 0.5 acre

Also, slope of a line is given as:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]y_2 - y_1 = 1[/tex]

[tex]x_2 - x_1 = 2[/tex]

As per formula:

[tex]m = \dfrac{1}{2} = 0.5[/tex]

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

Using the slope concept, it is found that the correct option is:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

---------------------------

A linear function has the following format:

[tex]y = mx + b[/tex]

The slope is m, which is the rate of change, that is, by how much the output y changes when the input changes by 1.

---------------------------

In this question, the input is the time in hours and the output is the area of land mowed, thus the slope represented the rate of area mowed per hour.Two points, (3, 1.5) and (5, 2.5). The slope is change in y divided by the change in x, thus:

[tex]m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2} = 0.5[/tex]

Thus, the correct option is:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

A similar problem is given at https://brainly.com/question/17460142

What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings? Round to the nearest whole percent. 65% 70% 75% 80%

Answers

Answer:

the experimental probability is 70%

Step-by-step explanation:

PLEASE HELP, TIMEDThe table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they have.

What is the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings?

To the nearest whole percent, the experimental probability is

a. 65%.

b. 70%

c. 75%

d. 80%

We are given to find

the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings

we know that

probability = ( number of favourable outcomes)/ ( total possible outcomes)

a 10th-grade student chosen at random has at least one, but no more than two, siblings

so, there can be one or two siblings

so, total number of such students =18+10=28

Number of favourable outcomes =28

total number of students =4+18+10+8=40

so, total favourable outcomes =40

now, we can find probability

[tex]p=\frac{28}{40}\\\\p=\frac{28}{40}\times 100\\\\p=70[/tex]

So,

Therefore, the experimental probability is 70%

Answer:

answer is B

or 70%

After proving two triangles are congruent, then one can prove parts of a triangle are congruent using the reasoning CPCTC.

True

False

Answers

Answer:

The answer is True because CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

Only need answer A answered please

Answers

HEY MATE HERE IS UR ANSWER

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... A vertical line includes all points with a particular x value. The y value of a point where a vertical line intersects a graph represents an output for that input x value.

FOLLOW ME AND MARK AS BRAINLIEST AND CHAT INBOX

^9 belongs to what family of real numbers?

Answers

Answer:

Rational number

Step-by-step explanation:

Rational numbers repeat and terminate. The square root of 9 is 3, and 3 is a whole number as well as a number that terminates,  which makes it a rational number

Given r,s,t are midpoints of AC,AB, and CB use the figure below to complete the following problem

Answers

Answer:

The first option, RT.

Step-by-step explanation:

2 Points
Is either x = 20 or x = 12 a solution to x-8 = 4?
A. x = 20 is a solution, but x= 12 is not.
O B. Neither is a solution.
O c. x = 12 is a solution, but x = 20 is not.
O D. They are both solutions.​

Answers

The answer is C because 8+4= 12

To determine the mean number of electoral votes, add all of the votes in the table and divide by .
There are a total of 535 electoral votes. The mean is votes per state.
The median of the electoral votes is .

Answers

Answer:

The median is the 268th observation.

Step-by-step explanation:

The mean of a data set is the value representing the entire data set.

The formula to compute the mean is:

[tex]\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]

The median of a data set is the middle most value in the data set.

For odd number of observations the median is given by:

[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]

For even number of observations the median is given by:

[tex]\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}[/tex]

In this case the mean number of votes per state is:

[tex]\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}[/tex]

There are n = 535 observations, This value is an odd number.

Then the median of the electoral votes is:

[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]

           [tex]=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}[/tex]

Thus, the median is the 268th observation.

Answer:

To determine the mean number of electoral votes, add all of the votes in the table and divide by  

✔ 50

.

There are a total of 535 electoral votes. The mean is  

✔ 10.7

votes per state.

The median of the electoral votes is  

✔ 8

.

Step-by-step explanation:

Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line y where it intersects with line w, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. If mAngle6 = 123.5°, then mAngle1 is 56.5°. 67.5°. 123.5°. 136.5°.

Answers

Answer:

(A)[tex]56.5^\circ[/tex]

Step-by-step explanation:

From the diagram attached:

Angle 1 and Angle 6 are Co-Interior Angles.

The sum of co-interior angle is 180 degrees.

Therefore:

[tex]m\angle 1+ m\angle 6=180^\circ\\\\m\angle 6=123.5^\circ,$ therefore:\\m\angle 1+ 123.5^\circ=180^\circ\\m\angle 1=180^\circ-123.5^\circ\\m\angle 1=56.5^\circ[/tex]

The measure of angle 1 is therefore 56.5 degrees.

The correct option is A.

∠6 and ∠1 are same-side interior angles, m∠6 = 123.5°, therefore m∠1 will be: A. 56.5°

Recall:

Same-side interior angles are supplementary to each other. They add up to give 180°.

The image showing the two parallel lines that is cut by a transversal creating angles is shown in the diagram attached below.

Given:

m∠6 = 123.5°

∠6 and ∠1 are same-side interior angles.

Therefore:

m∠6 + m∠1 = 180°

Substitute

123.5° + m∠1 = 180°

Subtract both sides by 123.5°

m∠1 = 180° - 123.5°

m∠1 = 56.5° (Option A)

Learn more about same-side interior angles on:

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Please help me with my question!!

Answers

The question is unclear but I will assume they mean 1/4 and 3 1/2.

Find common denominators.

1/4

3 1/2 -> 3 2/4

Turn into an improper fraction.

3 2/4 -> 14/4

Divide.

14/4 / 1/4

14/4 * 4/1

56/4

14

So, they can make 14 ornaments.

Best of Luck!

I need help ASAP I shall give brainlyist (idk how to spell)

Answers

Answer: 5 cm



Explanation: The formula for the volume of a cylinder is pi (3.14 here) * r^2 * 3

Thus, we have 235.5=3.14r^2*3

Dividing both sides by 3 leaves us with 78.5=3.14r^2

Dividing both sides by 3.14 gives us 25=r^2

To solve the equation, we take the sqrt of both sides and we find that r is 5 cm.

Answer:

[tex]5cm[/tex]

Step-by-step explanation:

[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{225.5}{\pi *3} } \\=5cm[/tex]

Mr. Wong predicted that he would sell 45 automobiles. He actually sold 48 automobiles. What are the values of a and b in the table below? Percent Error Item Approximate value Exact value Error Absolute error Ratio Percent error Automobiles 45 48 a b a = Negative StartFraction 3 over 45 EndFraction; b = negative 6.8 percent a = Negative StartFraction 3 over 48 EndFraction; b = negative 6.25 percent a = StartFraction 3 over 48 EndFraction; b = 6.25 percent a = StartFraction 3 over 45 EndFraction; b = 6.8 percent

Answers

Answer:

a = 3.45b = 6.67%

Step-by-step explanation:

Initial prediction of sales = 45 automobile

Actual amount sold = 48 automobiles

Absolute error ratio a = actual amount sold - initial prediction/initial prediction

Absolute error ratio a = 48-45/45

Absolute error ratio a = 3/45

%error = actual amount sold - initial prediction/initial prediction * 100%

% absolute error = 48-45/45 * 100

% absolute error = 3/45 * 100

% absolute error b = 6.67%

Answer:

a = Start Fraction 3 over 48 End Fraction; b = 6.25 percent

Step-by-step explanation:

Your Welcome;)

A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 5 x squared, 10 x. Second column entries are negative 2 x, negative 4. Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Select two options. (x + 1) (2x + 1) (x + 2) (5x + 1) (5x – 2)

Answers

Answer:

(5x – 2) and  (x + 2)

Step-by-step explanation:

In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;

[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]

The factors that can be multiplied together are (5x – 2) and  (x + 2)

Answer:

The Answer On Edge Is C.) and E.), Have Fun Dreamers!

Step-by-step explanation:

A cylindrical container of five rubber balls has a height of 30 centimeters and a diameter of 6 centimeters. Each ball in the container has a radius of 3 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.

Answers

Answer:

There is 170 cm³ free space in the container.

Step-by-step explanation:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

Can somebody explain to me how to find vertex form from a graph?? I put an example graph if you need it :)))

Answers

Answer:

y = - 4(x + 3)² + 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

From the graph (h, k ) = (- 3, 7 ), thus

y = a(x + 3)² + 7

To find a we require a point on the graph other than the vertex

Using (- 2, 3) , substitute into the equation

3 = a(- 2 + 3)² + 7

3 = a + 7 ( subtract 7 from both sides )

a = - 4

Thus

y = - 4(x + 3)² + 7 ← in vertex form

Three students use pens to write th enams of graduating seniors on thei rdiplomas. One writes 7 names in 6 minutes, another writes 17 names in 10 minuts, and the third writes 23 names in 15 minutes. How long, to the nearest minute, will the students take to the write the names on 440 diplomas if they work together?

Answers

Answer:

Total time  ≈ 100(nearest minutes)

Step-by-step explanation:

The rates at which each student writes names per minutes can be calculates as follows.

First student

6 minutes = 7 names

1 minute = 7/6 names

second student

10 minutes = 17 names

1 minute = 17/10 names

Third student

15 minutes = 23 names

1 minute = 23/15 names

Total time = 440/total rate

Total time = 440/1.17 + 1.7 + 1.53

Total time = 440/4.403

Total time = 99.931

Total time  ≈ 100(nearest minutes)

How do you go from 98 to 720 using just one letter?
RIDDLE...​

Answers

Answer:

Add an "x" between "ninety" and "eight". Ninety x Eight = 720.

90 x 8 = 720

Factor completely 3x2 − x − 4.

Answers

Answer:

(3x-4)(x + 1)

Step-by-step explanation:

first, split the middle term,

3x^2-x-4

= 3x^2 + 3x - 4x - 4

= 3x( x+ 1) - 4( x + 1)

= (3x-4)(x + 1)

plz mark as brainliest

Answer:

(3x − 4)(x + 1)

Step-by-step explanation

Someone who actually knows what they doing please ‍♀️

Answers

Answer:

5/9 (F-32) = 25

Step-by-step explanation:

5/9 (F-32) = C

Multiply each side by 9/5

5/9 * 9/5 (F-32) =9/5 C

F -32 = 9/5 C

Add 32

F -32 +32 = 9/5 C +32

F = 9/5 C +32

We want 25 C to Fahrenheit

F = 9/5 *25 +32

F = 9*5 +32

F = 45+32

F = 77

Here are seven tiles Tom takes a tile at random. He does not replace the tile. Tom then takes at random a second tile. a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.

Answers

Answer:

a) 1/21

b) 8/21

Complete question:

There are seven tiles:

1,1,3,3,3,5,5

Tom takes a tile at random. He does NOT replace the tile.

Tom then takes another tile at random.

a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.

Step-by-step explanation:

Total number of tiles = 7

Let Probability of having number 1 on the tiles = Pr (having 1)

Pr (having 1) = (number of times 1 appears on tiles)/(total number of tiles)

Number of times 1 appears on tiles = 2

Pr (having 1) = 2/7

Two tiles are drawn without replacement:

Probability of both tiles having number 1 on them = Pr (having 1 for both 1st and 2nd time)

= Pr (having 1) × Pr (having 1)

Since it is without replacement, the numbers in the second pick would reduce by 1 in both the numerator and denominator since we are picking same number. That is from 7 to 6 and from 2 to 1 to reflect that it was replaced.

= 2/7 × 1/6

= 2/42

Probability of both tiles having number 1 on them = 1/21

b) If 1st tile = 1, the second tile could be = 3 or 5

The pairs = Pr(1 and 3) and Pr(1 and 5)

Where Pr = probability

The probability is still without replacement. For both probability, the numbers in the second pick would reduce by 1 in the denominator since we are picking different numbers. That is from 7 to 6

Number of times 3 appears on tiles = 3

Number of times 5 appears on tiles = 2

Pr(1 and 3) = (2/7 × 3/6) = 1/7

Pr(1 and 5) = (2/7 × 2/6) = 2/21

If 1st tile = 3, the second tile = 5

Pr(3 and 5) = (3/7 × 2/6) = 1/7

If 1st tile = 5, the second tile = 0 (no number is greater than 5

Pr(5 and 0) = 0

Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = Pr(1 and 3) + Pr(1 and 5) + Pr(3 and 5) + Pr(5 and 0)

= 1/7 + 2/21 + 1/7 + 0

= (3+2+3)/21 = 8/21

Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = 8/21

Which values are equivalent to the fraction below? 6^7/6^5

Answers

Answer:

36

Step-by-step explanation:

Because the bases are the same we can just subtract the exponents to get us 6² or 36.


help me
Factor: 5x2 – 15x – 20.

(a) 5(x-4)(x+1),

(b) -2(x-4)(x+5),

(c) -5(x+4)(x-1),

(d) 5(x+4)(x+1).

Answers

Answer:

C

Step-by-step explanation:

5×2=10

10-15x-20

-10-15x

5(-2-3x), or -5(x+4)(x-1) solve it and find your answer

An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan hears, t minutes after the truck arrives in her neighborhood. Here T is entered in radians C(t)=-15cos(2pi/15t)+65 how many minutes after te truck arrives does the volume reach 75

Answers

Answer:

  5.5 minutes

Step-by-step explanation:

Fill in the given information and solve for t.

  75 = -15cos(2πt/15) +65

  -10/15 = cos(2πt/15)

  t = 15/(2π)arccos(-2/3) ≈ 5.492

The volume reaches 75 dB about 5.5 minutes after the truck arrives.

Other Questions
Lindley Enterprises sells hand-woven rugs. Paige Corporation is a regular customer of Lindley. On June 30, Paige purchased 500 rugs from Lindley for $400,000 on credit. On August 15, Paige paid Lindley in full on its $400,000 balance. Required: Prepare the related journal entries for Lindley. American millionaire, Mr Ormond Wall, meets with a road accident in Italy. His Injuries prove fatal and took his life. Write a good news report for the newspaper. Nathan bought 2 sandwiches and a beverage. each sandwich cost 4.75 and the beverage cost 1.29. how much change does Nathan get back if he pays with a 20 bill Simon Company's year-end balance sheets follow. At December 31 Current Yr 1 Yr Ago 2 Yrs Ago Assets Cash $ 33,817 $ 40,739 $ 42,420 Accounts receivable, net 100,012 69,175 53,814 Merchandise inventory 128,260 91,410 59,663 Prepaid expenses 11,001 10,482 4,576 Plant assets, net 311,773 292,386 255,527 Total assets $ 584,863 $ 504,192 $ 416,000 Liabilities and Equity Accounts payable $ 141,262 $ 85,208 $ 56,010 Long-term notes payable secured by mortgages on plant assets 108,855 118,283 91,936 Common stock, $10 par value 163,500 163,500 163,500 Retained earnings 171,246 137,201 104,554 Total liabilities and equity $ 584,863 $ 504,192 $ 416,000 1. Express the balance sheets in common-size percents. (Do not round intermediate calculations and round your final percentage answers to 1 decimal place.) 2. Assuming annual sales have not changed in the last three years, is the change in accounts receivable as a percentage of total assets favorable or unfavorable? 3. Assuming annual sales have not changed in the last three years, is the change in merchandise inventory as a percentage of total assets favorable or unfavorable? I need help please!!!!!!! Which word means the condition of being ready? who was the 40 president of the united states of america You need to haul a load of patio bricks to a job site. Each brick weighs 4 pounds 14 ounces. Truck can carry a 3/4 - ton load. How many bricks can the truck carry in a full load? what are 4 effects of global climate change Based on the information in the passage, it is most likely that Joe lives in a __ economy.The building that Joe is interested in purchasing would be consider __ In the United States there are more women than men, but women are referredto as a minority group? Why are they considered a minority?O A. Because they tend to have a higher standard of living than menO B. Because they tend to earn more money than menO C. Because they have the power to change gender rolesO D. Because they are discriminated against based on their sex Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate the flux of F across S. F(x, y, z) = x2yi + xy2j + 3xyzk, S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and x + 2y + z = 2. At Central High School, 55% of students play a school sport. Also, 24% of the student population is in ninth grade. To ninth graders are allowed to play school sports. If two students are selected at random to receive a gift card, what is the probability that one will go to a student athlete and one will go to a freshman? Write the answer as a percent rounded to the nearest tenth of a percent. Select the correct answer.Nathan likes to do some prewriting before he starts working on an essay. He starts with a visual technique, placing his topic at the center and grouping subtopics (such as words, phrases, concepts, etc.) around it. What is this prewriting technique called?A clusteringB. brainstormingC. outliningD. freewriting What is immunostaining?a technique that uses specific antibodies to visualize features of cellsa technique that visualizes how specific genes are used within a cella technique in which cells are purposefully grown under specific conditionsan imaging technology used to study features smaller than the human eye can see Terrel Gifts produces logo platters and cups bearing the name of the city in which the items will be sold to tourists. Indirect logo printing costs are allocated to platters and cups based on the amount of time spent on the logo machine. The company has budgeted logo costs of $4,224 per month and expects to spend 4,800 hours on the printing logos each month. Each platter uses 24 minutes and each cup spends 6 minutes on the logo machine. How much of the logo printing costs will be allocated to each platter? What is the difference between (8y-7) and (1-3y) Hint: Difference is another way to say subtraction. Is kidney disease a genetic or environmental disease? Why?Brainiest to best answer How did various groups in the Middle East react to Muhammad and the rise of Islam? One number is 3 more than 2 times the other, and their sum is 27. Find the numbers.If x represents the smaller number, then the larger number is3x + 22x + 321x + 3)