A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 individual songs and 2 albums. Person B pays $33.93 to download 4 individual songs and 3 albums. Write a system of linear equations that represents this situation. How much does the website charge to download a song? an entire album???

Answers

Answer 1

Answer:

1/ y= -3x + 12.96

2/ $9.99 for an entire album & $0.99 for a song

Step-by-step explanation:

We know that the

The amount charged for downloading individual songs = x dollars

And the amount charged for downloading an entire album = y dollars

Let's write a function for person A first

6x + 2y = 25.92

Solve, and we will get

y = -3x + 12.96

Now to person B

4x + 3y = 33.93

Putting the value of y from the first equation in the second

4x + 3(12.96 - 3x) = 33.93

- 5x = - 4.95

x = $0.99

Then we take

y = 12.96 - 3x

= 12.96 - 2.97

= $9.99


Related Questions

0.85x18340 how do I solve this explain please

Answers

Answer:

Answer down below!

Step-by-step explanation:

Once you multiply 0.85 * 18340 you get

15589

Find the circumference of a circular wimming pool with a radiu of 8. 5 yard. Ue 3. 14 a an approximation for pie

Answers

Answer:

53 if rounding to nearest 10

53.38 if not

Step-by-step explanation:

It's pretty simple actually, let's put vocabulary though

π = pie

r = radius C = circumference

ok now the formula for circumference is,

C = 2πr

because they gave you the radius, it is very simple

plug it in.

C = 2(3.14)(8.5)

3.14 x 2 = 6.28

8.5 x 6.28 = 53.38

if you're rounding to the nearest 10 it will be 53.

welcome:)

what is the slope and y-intercept of y= 7 over 5 ​ x−5

Answers

The slope is always the number that have the x so in this case the slope is 7/5x and and y intercept is always gonna be the right number in this case -5

I’m having trouble and knowing what the name of the line is.

Answers

the name of the line is both XY and YX

Select the correct answer from each drop-down menu.
Consider the equation below.
x^3 - 3x^2 - 4 = 1/x-1 +5
The solutions to the equation are approximately x =
0.91 and x= *blank*

Answers

Graphing this equation x³ - 3x² - 4 = 1/(x - 1) + 5 we get one solution of approximately x = 0.91 and another one x = 3.689.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, An equation of degree 3 which is,

x³ - 3x² - 4 = 1/(x - 1) + 5.

Now by graphing this equation we get one solution of approximately x =

0.91 and another one x = 3.689.

learn more about graphing here :

https://brainly.com/question/17267403

#SPJ1

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

A. x2 + (y – 3)2 = 36

B. x2 + (y – 5)2 = 6

C. (x – 4)² + y² = 36

D. (x + 6)² + y² = 144

E. x2 + (y + 8)2 = 36

Answers

The equation represents a circle that has a diameter of 12 units will be x² + (y - 3)² = 36. Hence, option A is correct.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the provided information in the question,

Use the equation of a circle,

(x -a)² + (y - b)² = r²

Here, a and b represent the center of the circle and r is the radius of the circle.

A center can be anywhere along the y-axis if it is (0, 3).

(x -0)² + (y - 3)² = 6²

x² + (y - 3)² = 36

To know more about Equation:

https://brainly.com/question/29657983

#SPJ1

Write the equation of the line that is parallel to y=-1/2x-3 and that will pass through the point (4,-1) . Write your answer in slope-intercept form

Answers

The equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.

What is the slope of the equation?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

To find the equation of a line that is parallel to y = -1/2x - 3 and passes through the point (4, -1), we can use the point-slope form:

y - y1 = m(x - x1)

where (x1, y1) is the given point, and m is the slope of the line.

Since the given line is parallel to y = -1/2x - 3, it has the same slope, which is -1/2. Substituting this value for m and the coordinates of the given point into the point-slope form, we get:

y - (-1) = (-1/2)(x - 4)

Combining like terms and multiplying through the parentheses, we get:

y + 1 = -1/2x + 2

Hence, the equation of the line that is parallel to y = -1/2x - 3 and passes through the point (4, -1) is y + 1 = -1/2x + 2 written in slope-intercept form.

To learn more about the slope of the equation visit,

brainly.com/question/3493733

#SPJ1

Chloe's bedroom is rectangular. The length of one wall of Chloe's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?

Answers

The length of the other wall is 3 meters, according to the declaration made.

What is the Pythagorean principle?

Pythagoras' Theorem states that within a right-angled triangle, any square on the hypotenuse side is precisely equal to the sum of something like the squares on the other two sides. The Perpendicular, Base, as well as Hypotenuse are the names of the three sides of this triangle. The hypotenuse throughout this example is the longest side since it is located across from the 90° angle.

Pythagoras discovered what, exactly?

The Pythagorean theorem, Pythagorean tuning, all five elements solids, ancient Theory and Proportions, understanding sphericity of the Earth, as well as the identification of the morning and evening luminaries and Venus are only a few of the the mathematical and scientific discoveries that Pythagoras gets attributed with in antiquity.

Briefing:

According to Pythagoras theorem

[tex]c^2=a^2+b^2[/tex]

diagonal (c)= 5 m

length of one wall (a) = 4m

length of other wall (b)= ?

[tex]5^2=4^2+b^2\\25=16+b^2\\b^2=25-16\\b^2=9\\b=3[/tex]

To know more about Pythagoras visit:

https://brainly.com/question/343682

#SPJ1

He John Hancock Building in Chicago i 455 meter tall, which i about 1,400 feet, or about a quarter of a mile high. It ha one of the fatet elevator in the world, traveling at 20. 5 mile per hour, or about 5 meter per econd. How many econd woud it take to travel the the length of the building?

Answers

The required number of seconds would it take to travel the the length of the building is 91.

What is speed and its formula?

The equation for speed is basic like distance partitioned by time. You take the distance voyaged (for instance 3 meters) and gap it when (three seconds) to get the speed (one meter each second) Thus, we can characterize Speed as the pace of progress of position of an article toward any path.

According to question:

We have,

length of the building = 455 meter

speed of elevator = 5 m/s

We know,

speed = distance/time

5 = 455/time

Time = 455/5

Time = 91 seconds.

Thus,time take to travel the the length of the building is 91 seconds.

To know more about speed visit:

brainly.com/question/2004627

#SPJ4

Two linear functions are shown. Which function has the greater initial​ value?

Answers

The function that has the greater initial​ value is function A

How to determine the function with the greater value?

From the question, we have the following parameters that can be used in our computation:

Function A: table

Function B: y = 3x + 6

The initial value of a function is when the input value is 0

i.e. when x = 0

From the table, we have

x = 0 when y = 8

From the equation, we have

y = 3(0) + 6

y = 6

8 is greater than 6

Hence. function A has the greater initial value

Read more about functions at

https://brainly.com/question/28277110

#SPJ1

What is the simplest form of the expression (–11.7y – 3.3x) + 1.2x + (5.2y + x)?
–16.9y – 5.5x
–16.9y – 4.5x
–6.5y – 2.1x
–6.5y – 1.1x

Answers

Answer:

-6.5y - 1.1x

Step-by-step explanation:

Rearrange the problem to where like terms are closer together:

11.7y+5.2y + 1.2x + x - 3.3x

Simplify by adding the like terms and your final answer will be -6.5y -1.1x

find the value of unknowns in each of the following

chapter matrices
with full workings and explanations

Answers

The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15

What is a Matrix?

In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object

A+B = B+A  Commutative Law of Addition.

A+B+C = A +(B+C) = (A+B)+C  Associative law of addition.

ABC = A(BC) = (AB)C  Associative law of multiplication.

A(B+C) = AB + AC  Distributive law of matrix algebra.

R(A+B) = RA + RB

Given data ,

Let the Matrix be A

Now , the given matrices are

[tex]2\left[\begin{array}{ccc}w&2\\5&z\\\end{array}\right] + 3\left[\begin{array}{ccc}2&x\\-2&-6\\\end{array}\right] =4\left[\begin{array}{ccc}4&7\\y&3\\\end{array}\right][/tex]

On simplifying the matrices , we get

[tex]\left[\begin{array}{ccc}2w&4\\10&2z\\\end{array}\right] + \left[\begin{array}{ccc}6&2x\\-6&-18\\\end{array}\right] =\left[\begin{array}{ccc}16&28\\4y&12\\\end{array}\right][/tex]

Now , from the distributive law of matrices ,

2w + 6 = 16   be equation (1)

4 + 2x = 28   be equation (2)

10 - 6 = 4y     be equation (3)

2z - 18 = 12    be equation (4)

So on simplifying the equation , we get

2w + 6 = 16   be equation (1)

Subtracting 6 on both sides , we get

2w = 10

Divide by 2 on both sides , we get

w = 5

So on simplifying the equation , we get

4 + 2x = 28   be equation (2)

Subtracting 4 on both sides , we get

2x = 24

Divide by 2 on both sides , we get

x = 12

So on simplifying the equation , we get

10 - 6 = 4y     be equation (3)

4y = 4

Divide by 4 on both sides , we get

y = 1

So on simplifying the equation , we get

2z - 18 = 12    be equation (4)

Adding 18 on both sides , we get

2z = 30

Divide by 2 on both sides , we get

z = 15

Therefore , the values are w = 5 , x = 12 , y = 1 and z = 15

Hence , The value of the unknowns are w = 5 , x = 12 , y = 1 and z = 15

To learn more about matrices click :

https://brainly.com/question/13215296

#SPJ1

Please help question in photo

Is a = 9 a solution to the inequality below?

Answers

No 9 is not grater than or equal to 12

Answer:

No, 9 is not a solution to 12 [tex]\leq[/tex] a

Step-by-step explanation:

 The expression 12 [tex]\leq[/tex] a states " 12 is less or equal to a."  If a were 9, the statement would not be true, since 9 is less than 12.  This contradicts the expression.

Please help me urgently!!!!
Lots of points!!!

Answers

Answer:

See Picture

Step-by-step explanation:

What are the values of x and y in the figure ?

Answers

Answer:

[tex]x=64, y=72[/tex]

Step-by-step explanation:

Using the angle sum of a triangle, [tex]x=180-57-59=64[/tex].

Thus, the left hand triangle has angles of 42°, 64° (using vertical angles), and y°. It follows that [tex]y=180-42-64=74[/tex].

At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.20 and the cost of a large greeting card is $4.25. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?

Answers

Answer:

Q: How much are 5 small greeting cards?

A: $6

Q: How much are 4 large greeting cards?

A:$17

How much is it altogether? $23.

Step-by-step explanation:

Small greeting card cost: $1.20

Large greeting card cost: $4.25

Let's solve how much it would cost to get 5 small greeting cards.

5 (1.20)=6

So $6 for 5 small greeting cards

Let's solve how much it would cost for 4 large greeting cards

4 (4.25)= 17

So $17 for 4 large greeting cards.

I hope this helps!!! I didn't understand the question completely, so hopefully I added everything that you needed.

5 scapulae (3 right and 2 left)

Answers

Axillary is 3 skulls.The remainder goes to the appendix.

Which of the bones in the collection belong to the axial skeleton?

The bones could potentially represent up to 22 different people.This is due to the possibility that each bone comes from a different person.

There were only 3 skulls, leading some to first believe there would only be 3 persons. However, there were 4 right femurs, indicating that there is a missing skull to correspond with one of the right femurs.

In light of this, you can only conclude, until further proof, that each bone belongs to a different person.

Axillary =3 skulls.

To learn more about axial skeleton refer

https://brainly.com/question/24833593

#SPJ1

Edwina measured the length of this swimming pool by drawing similar triangles as shown. What is the best estimate of p, the length of the swimming pool?

Answers

The measure of length of side p is 33 ft  .

What is measure of length?

Some of the commonly used units for measuring length are centimeters, millimeters, meters, inches, feet, yards, feet, etc. Some of the units to measure mass are pounds, ounces, kilograms, grams, centigrams, milligrams, etc.

Given as the length of the swimming pool measured by drawing similar triangle :

I.e The smaller Triangle similar to larger Triangle

Let o is the points of meeting of two triangles

And OAB is smaller triangle having sides OA , AB , BO

The measure of side OA = 8 ft

The measure of side AB = 12 ft

Again, OPQ is larger triangle having sides OP , PQ , QO

The measure of side OP = 22 ft

The measure of side PQ = p ft

∵ both Δ OAB    and  ΔOPQ  are similar

The from similarity property  

[tex]\begin{aligned}& \frac{P Q}{A B}=\frac{O P}{O A} \\& \text { l.e } \frac{p}{12}=\frac{22}{8} \\& \text { Or, } \frac{p}{12}=\frac{11}{4} \\& \therefore \mathrm{p}=\frac{11}{4} \times 12 \\& \text { or. } \mathrm{p}=11 \times 3 \\& \text { l.e } \mathrm{p}=33 \mathrm{ft}\end{aligned}[/tex]

Hence, the measure of length of side p is 33 ft  .

To learn more about measure of length visit:https://brainly.com/question/22161375

#SPJ1

Fill in the table using this function rule y=-3x-3

Answers

After solving the equation using the function rule the values of y are [tex]9,3,-3,-9[/tex].

What is function rule?

A function rule is an equation that describes a relationship between two variables, where one is a dependent variable, and the other is an independent variable. Function rules are used to determine the value of the dependent variable for any given value of the independent variable. Function rules can be written as a formula, a graph, or a table of values. Function rules are often used in mathematics, physics, and other sciences to describe the behavior of a system or process.

Given: Function  [tex]y=-3x-3[/tex]

When we have a function, we just have to replace the x by the numbers on the table, in this case [tex]-4,-2,0,2[/tex].

Substituting the values of x we get,

y = -3 (-4) - 3 ⇒ 12 - 3 = 9

y = -3 (-2) - 3 ⇒ 6 - 3 = 3

y = -3 (0) - 3 ⇒ 0 - 3 = -3

y = -3 (2) - 3 ⇒ -6 - 3 = -9

Hence, the values of y are [tex]9,3,-3,-9[/tex].

To learn more about function rule
https://brainly.com/question/1528097

#SPJ1

If the original quantity is 10 and the new quantity is 3​, what is the percent​ decrease?

Answers

Answer:

The percent decrease is 70%.

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point?

Answers

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The x-coordinate of the point is 9.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of a line y = (2/3)x - 6 ______(1)

Now,

The line passes through a point (x, 0).

(x, 0) = (x, y) ______(2)

Now,

Putting (2) in (1) we get,

0 = (2/3)x - 6

6 = (2/3)x

x = 6 x 3 / 2

x = 9

Thus,

The x-coordinate of the point is 9.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ1


Find the equation of the line passing through the points (-1,-1) and (3,5).

Answers

Answer:

y = 2/3x + 3

Step-by-step explanation:

(-1,-1) (3,5)

5+1/3+1

6/4

2/3

y = 2/3x + b

5 = (2/3)(3) + b

5 = 2 + b

b = 3

y = 2/3x + 3

Find the values of the variable in the parallogram . please!

Answers

The values of the variables x, y, z in the parallelogram are x=31, y=153, z=96.

What is a parallelogram?

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two sets of parallel sides. Both the congruence of opposite sides and the congruence of opposite angles require the Euclidean parallel postulate, or one of its equivalent formulations, and neither condition can be proved without it.

The values of the three supplied variables x, y, and z in the parallelogram are given to us.

Let's abbreviate the parallelogram, which is depicted in the attached image, ABCD.

Here,

m∠CAB = 31°,  m∠ABC =96°.

Since CD and AB are parallel, AC is a transversal now. So,

m∠CAB =m∠ACD

m∠ACD=31°

x=31

From the ΔABC we have,

m∠ABC +m∠ACB+m∠BAC=180°

96°+Y+31°=180°

y+127°=180°

y=153°

y=153

And also we know that the measure of opposite angles in a parallelogram are always equal.

So, m∠ADC=m∠ABC

z=96°

z=96

Therefore, the required values of x, y, z are 31, 153, 96.

To know more about parallelogram, visit:

https://brainly.com/question/19187448

#SPJ1

PLS HELP!!!
I attached the question in the picture below

Answers

Take a square root if both sides and you will get
a+6=7 and a+6=-7

For a+6=7
Subtract 6 from both sides
a=1

For a+6=-7
Again subtract 6 from both sides
a=-13

Therefore, the last answer is correct

The probability of winning a three-person game of rock paper scissors is 1/3. If you just
won the last 2 rounds, what is the probability you will win the next round?

a. 1/27
b. 1/9
c. 2/3
d. 1/3
e. 1/18

Answers

d

it's because it is 1 event

There is nothing wrong with your calculation; each player wins with probability 1/3. The point is that these are not disjoint events, so( wins)+( wins)+( wins)≠( or or wins). P(A wins)+P(B wins)+P(C wins)≠P(A or B or C wins). In fact, the sum of the probabilities is the expected number of players who win. (When there are no multiple winners, so the events are disjoint, this number is always 0 or 1 and so its expectation is the probability someone will win, but this is not true in general.) Here (no-one wins)=3×127+3!27=13 P (no-one wins)=3×127+3!27=13, (2 people win)=3×3×127=13P(2 people win)=3×3×127=13, and (1 person wins)=13P(1 person wins)13, so the expectation is exactly 11, consistent with your answer.

Hope this helped :)))

Merissa and mykuria are planning a trip to Orlando to celebrate graduation. They want to buy a three-day ticket to their favorite but the also need to find a place to stay during their trip. the theme park, which costs $299 per person but they also need to find a place to stay during their trip. They found a beautiful vacation rental in Orlando that has room for a number of guests and costs a total of $872.50. If Marissa and Mykuria are able to fill the room up to its maximum capacity with their friends, the price that each person would have to pay for the entire trip would be 361.25.

1. define a variable to represent the unknown.

2 write an expression for the 3-day ticket rate per person plus the total rental cost.

3 Write another expression for the total amount paid per person for the trip, assuming Marissa and mykuria are able to get enough friends to come on the trip so that the vacation rental house will be at maximum capacity.

Answers

Let x represent the number of people coming on the trip.

The 3-day ticket rate per person plus the total rental cost is 299 + 872.50 = $<<299+872.50=1171.50>>1171.50.

The total amount paid per person for the trip, assuming Marissa and Mykuria are able to get enough friends to come on the trip so that the vacation rental house will be at maximum capacity, is 361.25. This can be represented as an expression as follows:

(299 + 872.50)/x = 361.25

This equation can be rearranged to solve for the value of x, which represents the number of people coming on the trip.

Solve this1
HURRY pleasee

Answers

Answer:

Part a
[tex]m = \dfrac{280-\boxed{140}}{\boxed{4} - 2} = \dfrac{\boxed{140}}{\boxed{2}}[/tex]

[tex]y = \boxed{70}x[/tex]

Part b.
The heart's resting rate is [tex]\boxed{70}[/tex] beats each minute

Step-by-step explanation:

Q6

Part a

The slope-intercept form of an equation is y = mx + b

where m is the slope and b the y-intercept ie the value of y when x is 0


Here we see when x = 0, y = 0 so the value of b is 0 and the equation is simply

y = mx

To compute m, all we have to do is take 2 points on the graph, find the difference in y values(called rise) and divide by the difference in x values(called run)

This would be [tex]\dfrac{y2-y1}{x2-x1}[/tex]

We are given y2 as 280(on the numerator). The corresponding x2 value from the graph is 4

We are given x1(on the denominator) as 2. The corresponding y1 value is 140 from the graph

So just fill in the missing values to get

[tex]m = \dfrac{280-\boxed{140}}{\boxed{4} - 2} = \dfrac{\boxed{140}}{\boxed{2}}[/tex]

The above simplifies to 70

So the equation is

[tex]y = \boxed{70}x[/tex]

Part b
The interpretation is:

The heart's resting rate is [tex]\boxed{70}[/tex] beats each minute

Please help and explain how to get the answer

Answers

Answer: 55

Step-by-step explanation:

7x+13=9x+1

-1           -1

7x+12=9x

-7x       -7x

12=2x

12/2=6

x=6

7*6+13=55

9*6+1=55

2x - 3y = 9
x = 4 + y

Answers

Answer:

x = 3; y = -1

Step-by-step explanation:

2x - 3y = 9

x = 4 + y

Since the second equation is already solved for x, use the substitution method. Substitute 4 + y for x in the first equation and solve for y.

2x - 3y = 9

2(4 + y) - 3y = 9

8 + 2y - 3y = 9

-y = 1

y = -1

Now substitute -1 for y in the second original equation, and solve for x.

x = 4 + y

x = 4 + (-1)

x = 3

Answer: x = 3; y = -1

Solve the equation. Show your work. Express your answer as both a simplified mixed number and as a decimal.

−4.75+0.8x=−3.7

Answers

Answer: x = 1.3125

Step-by-step explanation:

−4.75+0.8x=−3.7

First, add 4.75 to both sides

0.8x = 1.05

Then divide by 0.8 on both sides

x = 1.3125

Answer:

x = 1.3125

Step-by-step explanation:

Other Questions
NEED ANSWERED ASAPAn ideal gas is at volume V at temperature T. If the volume is doubled at constant pressure and the same amount of gas particles, the temperature will beunchangedhalveddoubledfour times a country in which a multinational company conducts business activities is called the:____. Which command will you choise to convert a column of data into row the nurse is assisting in a disaster caused by a massive tornado that has destroyed much of the community. this disaster will require statewide and federal assistance. what classification would the disaster be? Please select the word from the list that best fits the definition separation of members in society based on certain characteristics. a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. if the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent was the prescribed dosage greater than the typical dosage? Consider the function f(x) = (x-x)(x + 5).1. What are the zeroes of f(x)?2. Write f(x) in standard polynomial form. ONolan is going to a carnival that has games and rides. Each game costs $2.50 andeach ride costs $3.50. Nolan spent $52.50 altogether on 17 games and rides. Write asystem of equations that could be used to determine the number of games Nolanplayed and the number of rides Nolan went on. Define the variables that you use towrite the system. If 17.8 mol of Ar gas occupies 102.8 L, how many mL would occupy 64 mol occupy under the same temperature and pressure? Record your answer in scientific notation using 3 significant figures. Help me please must use elimination Show your work, (I am stuck on this because Im not smart lol) an older adult client with mild hypothermia has been admitted to the health care facility. which intervention will the nurse use to promote comfort and sleep for the older adult client? A drawer contains one pair of brown socks and one pair of white socks. The table shows the possible outcomes, or sample space, for choosing a sock, replacing it, and then choosing another sock. you have two accounts in your aws account, one for the dev team and the other for the qa team. all are part of consolidated billing. the master account has purchased three reserved instances. the dev team currently uses two reserved instances. the qa team is planning to use three instances of the same instance type. what is the pricing tier of the instances that can be used by the qa team? According to the English Style Guide, which of the following is correctly written? A)hashtag: vacations B)#vacations C)# vacations D)vacations# What is an equation of the line that passes through the point (5, -8) and isperpendicular to the line 5x - 4y = 16? Hellllllllpppppppppp The ideas of Francis Bacon and Ren Descartes led to a new scientific method because they both believed thatA. the discoveries of the ancient philosophers were valid but should be documented in a modern way.B. truth could only be determined after a process of investigation. C. the traditional teachings of the Church should form the basis of all scientific inquiry.D. basic scientific fact is obvious to those who look hard enough at available data.How did the discoveries of Copernicus and other astronomers affect the way people viewed the universe?A. Their experiments proved that the ancient classical astronomers had been correct about how the universe functioned.B. Their observations supported the Ptolemaic view of the universe.C. Their discoveries reinforced traditional Church teachings on the relationship between Earth and the stars and other planets.D. Their observations proved that the universe was heliocentric. Emily wanted to make cookies.One batch of cookies needed 2/3 cup of milk.How much milk would Emily need to bake three batches of cookies? Bryan Stevenson and other attorneys fight against the use of the death penalty. Which amendment could they useto support their argument?Othe Fourth Amendmentthe Fifth AmendmentO the Seventh AmendmentO the Eighth Amendment