Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60


A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.

The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.

5x+3y=210

The total number of chocolate boxes will be expressed as:-

x + y = 60

Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

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Related Questions

the answer are...
a. -2
b. -1/2
c. 1/2
d. 2

Answers

Answer:

C. 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 4)

Point (-8, 0)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{0-4}{-8-0}[/tex]Subtract:                       [tex]m=\frac{-4}{-8}[/tex]Simplify:                        [tex]m=\frac{1}{2}[/tex]

What is 3/4 divided by 2 1/2

Answers

Answer:

3/10

Step-by-step explanation:

Convert 2 number to improper fraction find a common denominator and KFC, Keep, Change, Flip.

Keep first fraction

Change / into x

And flip the other fraction (2 1/2 or 5/2) to (2/5)

3/4 x 2/5 is 3/10

On a television game show, contestants earn 5 points for each correct answer, but lose 2 points for each wrong answer. On last week's show, the winning contestant earned 80 points and answered 30 questions.

Given that x represents the number of questions answered correctly, and y represents the number of questions answered incorrectly, determine which system of equations correctly represents this situation.
A. 5x-2y=30
x+y=80
B. 5x-2y+80
x+y=30
C. 5x+2y=80
x-y=30
D. 5x+2y=30
x+y=80

Answers

Sorry to inform that I can't find the answer to this question.

Socratic can help! This learning app, powered by Google AI, helps you understand your school work at a high school and university level. Ask Socratic a question and the app will find the best online resources for you to learn the concepts.

Which list represents integers ordered from least to greatest?
A 4,-7, -6, 10
B 4, -5, -6, 10
C -7, -6, 4, 10
D-6, 4, 5, 10
OA
B
OC
D

Answers

Answer:
It’s C



Why:
Because i’m smart duh

Answer:

C,-7,-6,4,10

Step-by-step explanation:

I guessed and that is all I did

Ratio of red to yellow marbles is 6 to 5 if there are 33 total marbles in the bag how many red

Answers

Answer:

18 red marbles and 15 yellow marbles.

Answer:
red: 18 yellow: 15

explanation
33 divided by 6+5 is 3
multiply by both and there’s ur answer!

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I WILL GIVE BRAINLIEST
Tell whether the following equations represent a linear function.
1. 15x + 3y = 9
2. −x^2 + 9y = 21
3. 6x + 1/4y = 3

Answers

Answer:

Step-by-step explanation:

1. yes

2. no - it's a quadratic equation

3. yes

Answer:

Tell whether the following equations represent a linear function.

1. 15x + 3y = 9-- linear equation✓

2. −x^2 + 9y = 21-- quadratic equation

3. 6x + 1/4y = 3-- linear equation✓

What is the solution set for 24+ 2 = 6 given the replacement set {1,2,3,4} 1=2 1-4

x = 2

x = 4

x = 1

x = 3​

Answers

Answer:

x is 2

Step-by-step explanation:

f(x) = -x -5, solve for x when f(x) = -6

Answers

Answer:

x = 1

Step-by-step explanation:

Which statement is true regarding the functions on the
graph?

° f(2) = g(2)
° f(0) = g(0)
° f(2)= g(0)
° f(0) = g(2)


Answers

Answer:

f(2) = g(2)

General Formulas and Concepts:

Alg I

Reading a Cartesian PlaneIdentifying CoordinatesSolutions of systems of equations

Step-by-step explanation:

We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.

Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.

Answer: A f(2) = g(2)

Step-by-step explanation: look at the picture

Kelly is paid 12.50 per hour she worked for 14hours she gave her mom 1/5 how much money does Kelly have left

Answers

Answer:

10

Step-by-step explanation:

Since Kelly earns 12.50 dollars per hour, and she works 14 hours, you can multiply 12.50 by 14.

1.      12.50*14=175

Kelly gives 1/5 of her money away, so she should be left with 4/5.

2.     4/5*12.50=10

So the answer is 10.

Which proportional statements are true for finding the value of x? Check all that apply. group of answer choices 6=916 6 x = 9 16 6=916 6 x = 9 16 616=9 6 16 = 9 x 616=9 6 16 = 9 x 96=16 9 6 = x 16 96=16 9 6 = x 16 9=166 9 x = 16 6 9=166 9 x = 16 6 9=616

Answers

Answer: the answers are:6/16=9/x: 9/6=x/16: and 9/x=6/16

Step-by-step explanation:

In how many ways can you arrange the books A, B, C, and D on a bookshelf if books A and C must remain neighboring?

Answers

i believe the answer is 4

A logo is made of a square and a semicircle. The square has side lengths of 12 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the logo?
PLEASEEEEE I NEED THIS ASAP PLEASEEEEEEEE

Answers

Uh bruv im just commenting to get points

the ratio of the number of adults to the number of children in a library is 12:5 if there are 45 children in the library how my adults are there at the library.

Answers

I’m guessing 108. 45 divided by 5 is 9, so 9 times 12 is 108.
There will be 108 adults.
Since the number of children are 45 and the ratio of adults to children is 12:5, divide 45/5. That equals 9.
So since you have that down, multiply 12x9. That equals 108.

sam has read 56 pages of a 224page book what percentage of the book has he read

Answers

Answer:

25%

Step-by-step explanation:

(56/224)*100

Answer:

25%

Step-by-step explanation:

56 pages of 224 pages

56/224

= 1/4

1/4 = 0.25

1/4 & 0.25 = 25%

what is the answer to 2/3 - 4/6

Answers

Answer:

0

Step-by-step explanation:

2/3*2/2=4/6. 4/6-4/6=0

I need help someone ?

Answers

Answer:

1) y=4x+5,  2) y=-2x+2,  3)y= 4/3x+4

Step-by-step explanation:

1) y=4x+5

2) y=-2x+c

-4= -2(3)+c

-4=-6+c

+6      +6

2=c

y=-2x+2

3) 4-0/0--3

4/3= gradient

y= 4/3x+c

4= 4/3(0)+c

4=0+c

4=c

y= 4/3x+4

helppppp please I will give brainliest​

Answers

Answer:

0

Step-by-step explanation:

Y-intercept is where the line touches the y-axis, in this case it was the origin (0,0) so the y-intercept is 0

Set up a proportion for the problem.

11 is what percent of 33 ?

Answers

Answer:

its 3 percent

Step-by-step explanation:

Suppose you want to save in order to purchase a new boat. Take the APR to be 6.0%.

You want to have $15,000 toward the purchase of a boat in three years. How much do you need to deposit each month? (Round your answer to the nearest cent.)

Answers

Answer:

Amount deposit each month = $365.26

Step-by-step explanation:

Given:

Amount deposit = $15,000

Rate = 6% = 6% / 12 = 0.005

Number of time = 3 x 12 = 36

Find:

Amount deposit each month

Computation:

Amount deposit each month = [(15,000) x 0.005]/[(1.005){(1.005)³⁶-1}]

Amount deposit each month = $365.26

The amount needed to be deposited each month is;

P ≈ $393.23

We are given;

APR = 6% = 0.06

Total accumulated amount; A = $15000

number of years; n = 3 years

To calculate the amount needed to be deposited each month, we will use the formula;

A = [P(1 + APR/12)¹²ⁿ - 1)] ÷ (APR/12)

Plugging in the relevant values gives;

15000 = [P(1 + (0.06/12))⁽¹²*³⁾ - 1] ÷ (0.06/12)

Rearrange to get;

[P(1 + (0.06/12))³⁶ - 1] = 15000 × 0.06/12

⇒ [P(1 + 0.005)³⁶ - 1] = 75

⇒ P(0.19073) = 75

⇒ P = 75/0.19073

P ≈ $393.23

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Which number line shows the solution to the inequality?
x + 1> 5

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Julie has a part time job after school she gets paid at a constant rate of dollars per hour.Julie works 12$ per month . Use this rate to find many hours it takes for Julie to earn $228

Answers

julie would earn $12/h×16h=$192

Which probability indicates that an event is not likely to occur?


14

12

34

1

Answers

Answer:

its 14 or 1/4 as you said     |     if it is not fractions and is whole numbers it is 1

Step-by-step explanation:

1/4 is the smallest value out of all of them, making it the least probable to happen

if they are not fractions, it is 1 because that is the smallest value, making it the least probable

hope this helped!

Answer:

Step-by-step explanation:its 1/4

Pregnancy length (in days) is a normally distributed random variable with a mean of 266 days and a standard deviation of 16 days. Calculate the z-score for a pregnancy lasting 286 days. Do not round.

Answers

Answer:

it=552

Step-by-step explanation:

with rounding it = 550

The value of z-score for a pregnancy lasting 286 days will be;

⇒ z - score = 1.25

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

Mean = 266 days

Standard deviation = 16 days

Now,

We know that;

⇒ z - score = (X - μ) / σ

Substitute all the values, we get

⇒ z - score = (286 - 266) / 16

⇒ z - score = 20/16

⇒ z - score = 1.25

Thus, The value of z - score = 1.25

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Graph the line with slope -6 and y-intercept 3.

Answers

Answer:

See Attachment.

Genera Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define variables

Slope m = -6

y-intercept b = 3

Step 2: Write linear equation

Substitute into general form.

Slope-Intercept Form:   y = -6x + 3

Step 3: Graph

Answer:

*See Below*

Step-by-step explanation:

It was hard to find this answer. Sorry if the graph glitches.

So what is the tea on life ??? !!!!!!!!!
ANY chisme

Answers

Answer:

I aint never seen two pretty best friends, its always one of em gotta be ugly

Step-by-step explanation:

Hhhhhheellllppppppp asap

Answers

Answer:

A

Step-by-step explanation:

Answer:

i think A is the answer

Step-by-step explanation:

5.5 is worth more than 5.05 is this is not what ur asking plz clarify :)

an 8-ounce cup of gourmet coffee costs 4.50. if the unit price remains the same, how much would 3 quarts of coffee costs ?

Answers

Answer:

$54

Step-by-step explanation:

3 quarts is 96 ounce

96/8 = 12

12*4.50= 54

Find the unit rate from the graph :

Answers

Answer:

1 gift per person

Step-by-step explanation:

The graph here is linear, and it crosses right through values such as (1,1) (2,2) etc. That shows that per person, each one will get 1 gift.

Is 5/11 closer to 0, 1, 1/2

Answers

Answer:

If your rounding up, its 1/2

Step-by-step explanation:

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