Mark, Jessica, and Nate each downloaded music from the same website. Mark downloaded 10 songs in total consisting of pop, rock, and hip hop. Jessica
downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.
Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.
Which system of equations represents their music choices?

Answers

Answer 1

Answer:

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

Let

x = number of pop song downloaded by Mike

y = number of rock song downloaded by Mike

z = number of hip song downloaded by Mike

Mark downloaded 10 songs in total consisting of pop, rock, and hip hop

Mark:

x + y + z = 10

Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.

Jessica:

5x + 2y + 3z = 28

Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.

Nate:

3x + 3y + z = 20

The following system of equations represents their music choices

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Answer 2

Answer:

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:

Let

x = number of pop song downloaded by Mike

y = number of rock song downloaded by Mike

z = number of hip song downloaded by Mike

Mark downloaded 10 songs in total consisting of pop, rock, and hip hop

Mark:

x + y + z = 10

Jessica downloaded five times as many pop songs, twice as many rock schgs, and three times as many hip hop songs as Mark. She downloaded 28 songs total.

Jessica:

5x + 2y + 3z = 28

Nate downloaded 20 songs total with three times as many pop songs, three times as many rock songs, and the same number of hip hop songs as Mark.

Nate:

3x + 3y + z = 20

The following system of equations represents their music choices

Mark:

x + y + z = 10

Jessica:

5x + 2y + 3z = 28

Nate:

3x + 3y + z = 20

Step-by-step explanation:


Related Questions

5√2-3√2.


optional maths

Answers

It has to be undefined

Answer:  [tex]2\sqrt{2}[/tex]

=====================================

Explanation:

Let's say we replace every copy of [tex]\sqrt{2}[/tex] with x

Doing so means we have the expression 5x-3x. That simplifies to 2x.

The last thing to do is replace the x with [tex]\sqrt{2}[/tex] and that's how we end up with [tex]2\sqrt{2}[/tex] as the final answer.

----------

In short: we subtract the numbers out front, and then tack on a root 2 at the end.

As another example, [tex]19\sqrt{2}-11\sqrt{2} = (19-11)\sqrt{2} = 8\sqrt{2}[/tex]

This is basically the same as saying 19x-11x = (19-11)x = 8x where [tex]x = \sqrt{2}[/tex]

The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?

Answers

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

What is the vertex of the quadratic function below?
y = 1/2x^2 + x. + 3
A. (-1,5)
B. (1/2,3)
C. (1,3)
D. (-1/,5/2)

Answers

Answer:

C

Step-by-step explanation:

Into the thick of it

I need help with this question it’s about circle angle things it’s for my practice test

Answers

Xnm would be 80 degrees
Xn would be 180 half of 360
Mn would be 260 180+80 degrees
Hope this helps :)

Beth will you help Andy with his algebra?

which punctuation mark is missing in the sentence?

A),

B)!

C)´

D)-

Answers

Answer:

A)

Step-by-step explanation:

mark me brainliest plzzzzzzz

A,
Beth, will you help Andy with his algebra?

HELP ME I'LL MARK AS BRAINEST PLZ HELP ME!!! (=0)

Answers

Answer:

9/10 x 4/5 = 36/50 simplified = 18/25 is your area

Evaluate the expression 33.15/n n=1.5

Answers

Answer:

22.1

Step-by-step explanation:

33.15/n

33.15/1.5

= 22.1

You are examining your choices of banks to open a new checking account. Potential costs include monthly maintenance fees, statement copy fees, and ___________.

Answers

overdraft fees is your answer

Answer:

overdraft fees is your answer

Step-by-step explanation:

What is the volume of the pyramid? Show all work.

Answers

8x4x6 / 3 = 64

The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height. Where Ab = area of the polygonal base and h = height of the pyramid.
LxWxH/3

3. What is the value of x?
A.36
B.32
C.12
D.28

Answers

Oooooooioooooooooooo

Answer:

b

Step-by-step explanation:

How do I solve this?​

Answers

What you do is you use the x and y and turn them into coordinate points and put them on the graph. The points would be…

(-2, 1)
(0,-1)
(2, -3)

I hope this helped!

helppppppp pleaseeee f/4 - 5 = -9

Answers

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..??? ​

Answers

If you want it to be 1/2 then you would have to color in another part, but if you want it to be 1/4 then that’s what you drew and you would have to change the denominator to a 4.

I hope this helped.

What is x? Please help quickly!

Answers

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

Graded Assignment
Unit Test, Part 2: Expressions and Problem Solving
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Answer:

plz help me I beg you

Answers

Answer:

1.) Amount of potting soil purchased last week.

2) 2p + 4 = 28

3.) 12 lbs

Step-by-step explanation:

1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.

2.)

Let amount of potting soil bought last week = p

Amount bought this week = 2p + 4

Since amount bought this week = 28

Hence, we have ;

28 = 2p + 4

28 - 4 = 2p

24 = 2p

p = 24 / 2

p = 12

Can i have some help please best answer gets brainiest!

Answers

Answer:

a=35

Step-by-step explanation:

5x35=175, and 175 divided by 7 is 25 :)

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: \frac{5a}{7} = 25[/tex]

➺[tex] \: 5a \: = 25 \times 7[/tex]

➺[tex] \: 5a = 175[/tex]

➺[tex] \: a = \frac{175}{5} [/tex]

➺[tex] \: a = 35[/tex]

[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]

[tex] \: \frac{5a}{7} = 25[/tex]

➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]

➺[tex] \: \frac{175}{7} = 25[/tex]

➺[tex] \: 25 = 25[/tex]

➺[tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

what is the algebraic expression for 11 times a number x, minus a second number y ?​

Answers

Answer:1

Step-by-step explanation:

twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.

11x - y is the answer, if you need more help lmk!

A square that has a side measurement of 7 inches has an area of: *

14 inches
49 inches
49 square inches
7 square inches

Answers

Answer:

49 square inches

Step-by-step explanation:

area of a square = l * l

a = 7 * 7

a = 49 square inches

49 square inches is the answer

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 100 nails and each large box has 350 nails. The contractor bought a total of 9 boxes that have 2400 nails altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answers

Answer:The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.

Step-by-step explanation:

Answer:

Let s = the number of small boxes purchased

Let l = the number of large boxes purchased

100s + 350l= 2400

s+l= 9

In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?

Answers

Answer:

82 degrees is the answer

Step-by-step explanation:

angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus

angle 7 = 180 - 98 = 82 deg

The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.

What is the sum of angle on a straight line?

The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.

∠6 = 98 degrees

Therefore,

∠6 + ∠7 = 180°(angles on a straight line)

∠6 = 98 degrees

Hence,

98 + ∠7 = 180

subtract 98 from both sides

98 - 98 + ∠7 = 180 - 98

∠7 = 82 degrees.

learn more on angle on a straight line here: https://brainly.com/question/16025966

A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.

Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?

Your answer should include both the mathematical proof and a written statement.

Answers

Answer:

If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.

Step-by-step explanation:

Mathematical Proof :

For proof, we should test it out.

To find the total amount of marbles, we add up all the different colors in the bag.

5 + 5 + 5 + 5 = 20

Drawing 2 blue marbles while replacing the first probability :

The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :

5/20 * 5/20 = 25/400 = 1/16

Drawing 2 blue marbles while NOT replacing the first probability :

The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.

So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.

Written Statement :

If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.

Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.

Answers

Answer:

V=168ft³

Step-by-step explanation:

V=

w-6

h-4

l-7  

V = 168ft³

The first answer is correct

Find the y-intercept the line on the graph. Plz I need the credit

Answers

Answer:

4

Step-by-step explanation:

The y intercept is where it crosses the y axis

It crosses the y axis at y = 4

I believe the answer is 4

Evaluate the expression (ab)^2for a = 4 and b = 3.

Answers

Answer:

144

Step-by-step explanation:

Plug in a and b

In this case a=4, b=3

(ab)^2

( (4)(3) )^2

(12)^2

12x12

144

If this helps please mark as brainliest

Answer:

144

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

(ab)²

a = 4

b = 3

Step 2: Evaluate

Substitute in variables:                                                                                     [4(3)]²[Brackets] Multiply:                                                                                           12²Exponents:                                                                                                        144

Write the equation of the parabola in vertex form.

Answers

Answer: Hi! The answer is, y=-(x-2)^2

Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!

Which of the following graphs represents a function? Graph a or b

Answers

Answer:

graph b represents a function.

Answer:

graph b

Step-by-step explanation:

Lawrence makes tomato cages out of wire. He has 48 1/3 yards of wire and uses 6 3/4 yards on each tomato cage. How many tomato cages can Lawrence make with the wire he has?
A. 6
B. 7
C. 8
D. 9

Answers

7 due to 48 1/3 divide by 6 1/3 only breaks down to 7.1

What is the value of x?



Enter your answer in the box.

Answers

Answer:

x=12

Step-by-step explanation:

Both Angles together have a 180 degrees, set your formula up as

180=(10x-20)+(6x+8)

180=10x+6x-20+8

180+20-8=16x

192=16x

192/16=x

12=x

Answer:

x = 12

Step-by-step explanation:

The two angles form a straight line so they add to 180

10x-20 + 6x+8 = 180

Combine like terms

16x -12 = 180

Add 12 to each side

16x-12+12=180+12

16x = 192

Divide each side by 16

16x/16 =192/16

x = 12

Jim orders prints from a website. The site charges him $6.95 a month and $0.04 for each print he orders.
Enter an equation that can be used to find the number of prints, P, Jim ordered last month if the website charged
him $17.79.
Enter the number of prints Jim ordered last month.

Answers

Answer:

271 prints.

Step-by-step explanation:

So to answer the question, we need to first write a formula to find the answer.

We know that the starting price per month is 6.95 dollars.

The full price is 17.79 dollars.

So we can start this off by writing:

17.79=6.95

Now, every time Jim prints, he charges 0.04 dollars. This will add to the orginal cost, which is 6.95. And remember this isnt a single payment, but a payment that varies depending on the amount of paper, p. So we can write this as:

17.79=6.95+0.04p

6.95 wont ever change, hense why it doesnt have a variable. 0.04 however, varies depending on the amount of paper, and thats why we included the variable p.

These two values combined make 17.79, hense why it is on the opposite side of the equals sign.

So, now we need to find how many papers, p, were printed.

To find this, lets just take our equation, and solve for P like an ordinary problem:

17.79=6.95+0.04p

So first off, lets subtract the 6.95 from both sides, because that iscolates the 0.04p, which contains the variable.

Now we have:

10.84=0.04p

Now, we could divide both sides by 0.04.

But remember, the whole point of doing this is to make 0.04p into 1p.

So another way of doing this is multiplying the 0.04 by 25, since 0.04*25=1.

So lets multiply both sides by 25:

10.84*25 is 271.

Since 10*25 is 250

And

.84*25 is 21.

So now we know:

271=1p

So 271 is your answer!

Hope this helps!

The equation that can be used to find the number of prints, p, is $17.79 = $6.95 + $0.04p and Jim ordered 271 prints last month.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We can write an equation to represent the total cost that Jim was charged by the website for last month's prints, p to represent the number of prints he ordered:

Total cost = Monthly fee + Cost per print x Number of prints

Using the values given in the problem:

$17.79 = $6.95 + $0.04p

To solve for p, one side of the equation. First, we can subtract $6.95 from both sides:

$10.84 = $0.04p

Then, we can divide both sides by $0.04:

p = 271

To learn more about equation click on;

brainly.com/question/31112129

#SPJ2

Find q
(7q-46)
(3q+6)

Answers

Answer:

[tex]q = 22[/tex]

Step-by-step explanation:

The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).

[tex](<ABD) + (<DBC) = (AC)[/tex]

Substitute for the angle measures,

[tex](7q-46)+(3q+6)=180[/tex]

Simplify,

[tex]10q-40=180[/tex]

Inverse operations,

[tex]10q-40=180\\\\10q = 220\\\\q = 22[/tex]

Answer:

need pts

Step-by-step explanation:

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