Jenna has one more logic puzzle to solve!



Write a system of equations to represent this puzzle, using b to represent the value of each book and m to represent the value of each music note. Then solve the system for b and m.

Type the correct answer in each box. Use numerals instead of words.

The value of each book is
.

The value of each music note is
.

Answers

Answer 1

Answer:

The value of each book is 7  

The value of each music note is 6

Step-by-step explanation:

The first equation includes the sum of 3 books and 2 music notes, so 3b + 2m = 33.

The second equation includes the sum of 1 book and 3 music notes, so b + 3m = 25.

This is the system that represents the puzzle:

3b + 2m = 33

b + 3m = 25  

Solve the second equation for b, and then substitute the equivalent expression for b in the first equation.  The value of each music note is 6.

Then, Substitute the value of m into one of the original equations to find the value of b . The value of each book is 7.


Related Questions

A Jet ski rental company charges a one time fee of $50 , and $90 per hour to rent one of their jet skis. How many hours (X) it will take to spend exactly $2,210?

Answers

Answer:

24 hours

Step-by-step explanation:

Given that:

One time fee for renting the Jet ski = $50

Per hour charges to rent one Jet ski = $90

Total money available = $2210

To find:

Number hours [tex]X[/tex] it will take to spend the total money.

Solution:

Charges for renting the jet ski for one hour = $90

Charges for renting the jet ski for [tex]X[/tex] hours = $90[tex]X[/tex]

As per question statement, it can be written that:

One time Charges + Charges for renting the jet ski for [tex]X[/tex] hours = $2210

[tex]\Rightarrow 50 + 90X=2210\\\Rightarrow 5+9X=221\\\Rightarrow 9X=216\\\Rightarrow X =\bold{24\ hours}[/tex]

Help me plsssszzzzzzzzzzzzzzzzzzz​

Answers

Use the formula 1/2•b•h to find your answer

A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors?

Answers

Answer: $320 - $7.50p

Step-by-step explanation:

Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:

= $320 - $7.50p

where,

$320 = revenue made before any payment

$7.50 = amount paid for a customer choosing a competitor

p = number of customers

Answer:

a

Step-by-step explanation:

what is the lebgth from w to x if t to v is 16

Answers

Answer:

8

Step-by-step explanation:

If you rotate the triangle you can see that the base is 16 and since WX is the mid segment that means it's half of the base so half of 16 is 8.

True or false: f(x) is a function.

f(x)
O A. False
B. True

Answers

True: f(x) is a function

Answer:A true

Step-by-step explanation:

BRAINIEST WILL BE MARKED!!! Which set of side lengths forms a unique triangle?



(A)5 cm, 5 cm, 10 cm



(B)11 cm, 14 cm, 17 cm



(C)109 cm, 214 cm, 414 cm



(D)8 cm, 15 cm, 26 cm

Answers

Answer is d ... ..........

Fatima has a total of $8 to spend to make fruit smoothies. She
plans on spending all of the money and will use two types of fruit.
Mangos cost $0.50 per cup and strawberries cost $1.00 per cup.
Write an equation for this situation. Define the variables you used in your equation.

Answers

either $0.50 × $1 or $0.50÷ $1 hope this answer helps

will mark brainliest!!

Answers

Answer:False, true, true, false

Step-by-step explanation:

The first one is false because 2 & 5 equal 180 together. B is true because they equal the same thing. C is true because they equal 180 together. And D is false because those don’t equal 180.

this is the third one. to the person that is helping me, thank you so much.

Answers

Answer:

B is the answer.

First you do 38.25 divided by 3 and you get 12.75, And option B is 12.75

5.How many solutions does the system have?
x - y=4
2x - 2y = -8
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution

Answers

Answer:

one solution = a, that is your answer

Answer:

D) No solution

Step-by-step explanation:

That is because...

x-y=4              2x-2y= -8

-y= -x+4          -2y= -2x-8

y= x-4              -y= -x -4

                       y=x+4

y=x-4 does not equal to y=x+4

pls kinda need help
lolol

Answers

I think that the answer is A.

Nathan has a $5 gift card to download Pokemon games. The function m =
-0.5d + 5 represents the amount of money m that remains on the card
after a certain number of games, d, are downloaded. Find the zero and
explain what it means.*

Nathan can download 9 games and have some money left on the card

Nathan can download 10 games and have $0 left on the card

Nathan can download 15 games and have some money left on the card

Nathan can download 20 games and have $0 left on the card

Answers

Answer:

B. Nathan can download 10 games and have $0 left on the card

Step-by-step explanation:

Function given

m = -0,5d + 5

Each game costs $0.5 so 10 games cost 10*0.5 = $5

m = -0.5*10 + 5m = -5 + 5m = 0

Therefore when 10 games downloaded, no money is left on the card.

Correct choice is: B

Which steps show how to use the distributive property to evaluate 6 times 49

A. 6(49) = 6(50-1) = 6.50 6.1 300

B. 6(49) = 6(50

1) 6.50

1 300

1299

C. 6(49)=6150 - 16.30

D. 6(19) =6150

1) = 6 to

500 1300 300

Answers

Answer:

294

Step-by-step explanation:

The distributive property for multiplication is as follows :

a(b+c) = ab + ac

We need to evaluate 6 times 49 i.e. 6(49).

We can write 49 as (50-1)

6(50-1) = 6(50+(-1))

Here, a = 6, b = 50 and c = -1

So,

6(50+(-1)) = 6(50) + 6(-1)

= 300-6

= 294

So, answer is 294. Option (A) is somehow correct.

PLEASE HELP!! Uber charges $5 for a ride plus $0.50 per mile. If you have only $27.50 in your account, what is the maximum number of miles that you can travel?

Write an inequality that could be used to find out how many miles you can go.

Answers

Answer: 5 miles

Step-by-step explanation: Hope this helps :)

What is the equation of a line that passes through (-10,3) and is parallel to y =2x+9?

Answers

Answer:

-2/3.

Step-by-step explanation:

Answer:

y = 2x + 23

Step-by-step explanation:

Given

Line y = 2x + 9

Parallel line has same slope

y = 2x + b

Finding b using the given point (-10, 3)

3 = 2(-10) + b3 = -20 + b3 + 20 = bb = 23

So the line is:

y = 2x + 23

Russ has a car that averages 9.8 miles per gallon. Mike's car averages 39.2 miles per gallon. How many times more miles per gallon does Mike's car averages than Russ' s car?

Answers

Answer:

4 times

Step-by-step explanation:

This is calculated by putting them in a ratio

Russ's car : Mike's car

9.8 miles per gallon : 39.2 miles per gallon

Converting to fraction

= 9.8/39.2

= 1/4

Hence, we have the ratio:

1 : 4

Hence, Mike's car averages Russ's car 4 times more in miles per gallon

Choose the correct answer.
1. What is the equation of a line that passes
through the origin and intersects (4, 6)?
A. y = -3/2x
B. y = -2/3x
C. y = 2/3x
D. y = 3/2x

Answers

Answer:

The equation of the line is y = [tex]\frac{3}{2}[/tex] x ⇒ D

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept (value y at x = 0)

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ The line passes through the origin (0, 0) and point (4, 6)

∴ x1 = 0 and y1 = 0

∴ x2 = 4 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{4-0}=\frac{6}{4}=\frac{3}{2}[/tex]

m = [tex]\frac{3}{2}[/tex]

→ Substitute it in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

∵ The line passes through the origin

∴ The y-intercept = 0

b = 0

→ Substitute it in the equation

∵ y = [tex]\frac{3}{2}[/tex] x + 0

∴  y = [tex]\frac{3}{2}[/tex] x

The equation of the line is y = [tex]\frac{3}{2}[/tex] x

3,910 Divided 25? i need help

Answers

Answer:

156.4 would be your answer

Step-by-step explanation:

3,910/25

15.6

3n + 14 =
I’m
Gonna mark Brainly who ever answers first • w •

Answers

Answer:

n=-6

Step-by-step explanation:

3n+14=-4

3n=-18

n=-6

James has $11. Suppose the function f (x ) = 1.25x + 4 represents the cost to rent x video games each month. How many more dollars will James need to rent 9 video games next month? *

Answers

Answer:

$4.25

Step-by-step explanation:

First, find the cost to rent 9 video games by plugging in 9 as x:

f(x) = 1.25x + 4

f(9) = 1.25(9) + 4

f(9) = 15.25

So, it will cost $15.25. Since James already has $11, we can find how many more dollars he will need by subtracting 11 from 15.25:

15.25 - 11

= 4.25

So, James will need $4.25 more dollars

Answer:

$4.25 more dollars

Step-by-step explanation:

f(x)=1.25x+4

James wants 9 video games, so 9 would be x

1.25(9) = 11.25

then you add the fixed cost of 4

11.25+4 = 15.25

He has $11, so 15.25 - 11 = 4.25

Meaning he needs $4.25 more dollar to rent 9 video games

Hey, Could any of you provide me a step by step explanation as to how you get to the answer?
(The step by step explanation is what I need most but please don't forget the answer)!

Answers

Answer:

Step-by-step explanation:

First start by finding the values of the numbers being multiplied together.

5^-2 = 25

This equals a positive 25 because when ever you multiply a negative by a negative it always equals a positive number. -5 x -5 = 25

[tex]\sqrt[3]{8}[/tex] = 2

This is asking what x what x what equals eight. Remembering that the square root of 4 is 2. We can determine that since 4 x 2 = 8 the cube root of 8 is 2.

2 x 2 x 2 = 8 and 8 divided by 2 divided by 2 = 2

So now solve the equation we have now. 25 x 2 =?

25 x 2 = 50

And 50 is our answer.

A card is drawn at random from a well shuffled pack of 52 cards. What is the probability that the card is neither a spade nor a jack?

Answers

Answer:

Okay, So neither a spade nor a jack.

Total no. of cards in adeck =52  

Number of spades =13  

Total number of non-spades out of  52  cards  =52−13=39  

Number of jack out of 52  cards =4  

Number of jack in each of three suits namely hearts, diamonds and clubs =  3  

[Since, 1 jack is already included in the 13 spades so, here we will take number of jacks is  3 ]

Neither a spade nor a jack  =39−3=36  cards in total.

Therefore, probability of getting ‘neither a spade nor a jack’=

NumberoffavorableoutcomesTotalnumberofpossibleoutcome  

=(362)/(522)  

=630/1326=105/221

Step-by-step explanation:

I hoped i helped i might have put to much but there u go!!

If (8^9)p = 8^16 what's the value of p?

Answers

Answer:

[tex] p = {8}^{7}[/tex]

Step-by-step explanation:

[tex](8^9)p = 8^{16 } \\ \\ p = \frac{8^{16 } }{8^{9 } } \\ \\ p = {8}^{16 - 9} \\ \\ \huge \red{ \boxed{p = {8}^{7} }}[/tex]

Kelsey owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Kelsey charges for a bike rental that lasts x hours?

Answers

Answer:

y=10+4x

Step-by-step explanation:

is the area of the rectangle 40 or 96 square feet? explain

Answers

Answer: 96ft

Step-by-step explanation:

Width times hight equals area. So 12x8=96ft

Answer:

the answer 96 feet

Step-by-step explanation:

HELP PLEASEEE I NEED ANSWER RN.

Answers

Answer:

The first answer.

Step-by-step explanation:

-4, .075, 2.23, and 3. All you really needed was to know the square root of 5

Plz help meh this is the last question for my hw

Answers

Answer:

A

Step-by-step explanation:

y = [tex]\frac{10}{5}x[/tex]

y = 2x

Find the slope of the line described by 2x − 5y = −10.

Answers

Answer:

2/5 is the slope

Step-by-step explanation:

Answer: y= [tex]\frac{2}{5}x + 2[/tex] would be the equation the slope would be 2/5x

Veronica's cell phone plan costs $39.99 a month for 450 minutes. She is charged an additional $0.45 for each minute over 450 she uses. Veronica's bill last month was $95.34. How many minutes over 450 did Veronica use last month?
A. 123 minutes
B. 212 minutes
C. 573 minutes
D. 662 minutes ​

Answers

Answer:

A. 123 minutes

Step-by-step explanation:

Peter's paint company made the same number of gallons of paint on Monday, Tuesday, and Wednesday. On Thursday, they made twice as many as any of the previous days. If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday

Answers

Answer:

Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

Step-by-step explanation:

If they made a total of 20 gallons over the course of these four days, how many gallons did they make each day? Monday

Let the gallons of paint used be Peter's company on Monday, Tuesday, and Wednesday since it is the same amount be represented by x

On Thursday, they made twice as many as any of the previous days.

= 2x

Hence:

x + x + x + 2x = 20 gallons

5x = 20 gallons

x = 20 gallons/5

x = 4 gallons

Note that:

Thursday = 2x

Hence, = 2 × 4 gallons = 8 gallons

Hence, Peter's company uses on:

Monday = 4 gallons

Tuesday = 4 gallons

Wednesday = 4 gallons

Thursday = 8 gallons

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