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

I need help Nkaocjsjbsiss

Answers

Answer:

46

Step-by-step explanation:

it wouldn't change if it was to be rotated

Help guyssssssssssssss

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Answer:

1

Step-by-step explanation:

need help please full question in image

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the answer should be 23.5 hoped this helped :)

Suppose a team is to be formed consisting of a head chef, sous chef, and dishwasher, in that order. What is the probability of forming such a team with 6 people?

Answers

Answer:

0.0083

Step-by-step explanation:

From the given information;

The total number of individual in the team = 3

The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = [tex]^{6}P_3[/tex]

= (6×5×4×3!)/3!

= 6×5×4

= 120 ways

The probability of forming such a team with 6 people = 1/120

= 0.0083

Helen had Php7500 for shopping money. When she got home, she had Php132.75 in her pocket. How much did she spend for shopping?

Answers

Answer:

Step-by-step explanation:

Helen had Php7500 for shopping money

she had Php132.75 in her pocket

she spend= 7500.00-132.75

=7367.25answer

Does this equation have no solution, one solution, or infinite number of solutions x=y-3 2x-2y=-6

Answers

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Alg I

Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define systems

x = y - 3

2x - 2y = -6

Step 2: Solve for y

Substitute:                              2(y - 3) - 2y = -6Distribute 2:                            2y - 6 - 2y = -6Combine like terms:              -6 = -6

Here we see that -6 does equal -6. Therefore, any value y would work as a solution. Hence, this systems of equations has an infinite amount of solutions.

40 subtracted from five times a number is 8 more than the number write the equation

Answers

Answer (let x be the number):

5x - 40 = x + 8

I hope this helps!

The number in the equation 5n - 40 + 8 = n is 8.

What is a numerical expression ?

A numerical expression is formed by numbers and their operation.A numerical expression can also be constructed from given statements.

We can also construct numerical expression form real life scenarios.

According to to the question statement 40 subtracted from five times a number is 8 more than the number and we have to form an numerical expression.

Let the number be 'n'.

∴ 5n - 40 + 8 = n

5n - n = 40 - 8.

4n = 32.

n = 32/4.

n = 8.

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please some help me with this.​

Answers

X=14

every triangle equals 180 when adding all the angles together 72+36 = 108 So 180-108 = 72 (also note this is an isosceles triangle)

Now 72-16 = 56
56÷4 = 14

Find the missing angle:

Answers

Answer:

40

Step-by-step explanation:

Use this picture as a reference.

So, using remote angles theorem, which states that; the angle formed from the extension of a side in a triangle is equal to the sum of the two angles which it does not make contact with, within the triangle. One can conclude that :

m< BCD = m<B + m<A

substitute:

m<BCD = 80 + 25

Simplify:

m<BCD = 105

Since it is given that m< BCE is 50, then  one has to subtract m<BCE from m<BCD to get m<ECD

m<BCD - m<BCE = m<ECD

Subsitute:

105 - 50 = m<ECD

Simplify:

55 = m<ECD

Using the sum of angles in a triangle, which states that the sum of all the angles in a triangle is 180 degrees, one can say that:

m<D + m<ECD + m<E = 180

Substitute:

85 + 55 + m<E = 180

Simplify, inverse operations:

140 + m<E = 180

-40               -140

m<E = 40

PLEASE HELP ME BRAINLIEST AND 20 POINTS

What is the domain of f(x) = 35x?
O all real numbers
O positive numbers and zero
O all integers
O whole numbers

Do not guess please this is important and, please explain your answer. Thank you

Answers

Domain is -infinity to +infinity. So it is all real numbers. This is because you can plug any number into the x value.

Write each parabola in the form y−k=a(x−h)^2 and determine its vertex: y=−4x^2+16x−19

Answers

X = -b/2a
-16/2(-4) = 2
Substitute 2 into the equation
Y = -4(2)^2 + 16(2) - 19
Y = -16 + 32 - 19 = -3
Vertex = (2, -3)
Vertex form y+3=-4(x-2)^2

A triangle has its angles marked (2x+10),(x+20) and (x-10).
a) Calculate the value of x

b) Name the triangle

Answers

Step-by-step explanation:

x= 40

let the triangle be abc



Matt and Chris leave their uncle's house in Phoenix at the same time, Matt drives west on 1-60 at a speed of 79 miles per hour. Chris drives east on 1-60 at a speed of 83 miles per hour.

How many hours will it take them to be 64 miles apart


Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels five miles per hour. The

southbound boat goes seven miles per hour How many hours will it take them to be 66 miles apart?

he

Addit

Answers

Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.

I need help answering. Thanks.

Answers

Answer:

28

Step-by-step explanation:

C or B's so 30% + 40% = 70% so:

70/100 multiplied by 40 because 40 students

7/10 times 40 = 28

The correct answer is 28

convert the common fraction into decimal fraction
[tex] \frac{3}{4} [/tex]

Answers

Answer:

We know that 3/4=0.75.When expressed as decimal fraction it is 75/100

the fraction would become .75

what makes this number special 8549176230​

Answers

Uhm hope this help (:

8,549,176,320 What makes this number unique? Answer: The said number has all the numbers from 0-9 exactly once and what is special is they are in lexicographical order of their English words.

Arrange the numbers in order from least to greatest.
1/2, -5,
0.56,
0,
12%
Least to greatest

Answers

Answer:

-5,0,0.56,12%,1/2

Step-by-step explanation:

You can buy 5 bananas for $4.25. What is the unit price per banana?

Answers

Answer: 85 cents

Step-by-step explanation:

Answer:

$0.85 per banana

Step-by-step explanation:

if you can get 5 bananas for $4.25 then you need to figure out how much you need to pay for 1. To do that you go 4.25 divided by 5 which is .85. so thats your answer, you can cha]eck it by going .85 times 5 which will get you 4.25

solve for x, and explain how u did it :)

Answers

Answer:

71 I THINK

Step-by-step explanation:

since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer

The distance an object falls is directly proportional to the square of the time it falls. A ball falls 144 feet in 3 seconds. How far will an object fall in 4 seconds?

Answers

Answer:

d = 256 ft.

Step-by-step explanation:

The distance an object falls is directly proportional to the square of the time it falls.

First, we name the variables.

Let d= the distance.

t= time

Write the formula for direct variation, where y varies directly with the square of x.

y=kx2

We will use d in place of y and t in place of x.

d=kt2

Substitute the given values for the variables.

d=144whent=3144=k⋅32

Solve for the constant of variation.

144916=k⋅99=k

Write the equation that relates d and t.

d=kt2

Substitute in the constant of variation.

d=16t2

Find d when t=4.

Write the equation that relates d and t.

d=16t2

Substitute the given value for t.

d=16⋅42

Simplify.

d=256

An object will fall 256 feet in 4 seconds.

The required distance fall by fall in 4 seconds is 192 feet.

Given that,
The distance an object falls is directly proportional to the square of the time it falls. A ball falls 144 feet in 3 seconds, how far will an object fall in 4 seconds is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,
The rate of fall of the ball = 144 / 3
                                      = 48 feet second
Now distance fall by the ball in 4 seconds = 48 * 4 = 192 feets.


Thus, the required distance fall by fall in 4 seconds is 192 feet.

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6 x +4 + 10x - 9 + 8x - 7=

Answers

Answer:

24x - 12

Step-by-step explanation:

6x + 4 + 10x - 9 + 8x - 7

6x + 10x + 8x + 4 - 9 - 7

24x - 12

HEEEEEEEEEEEELLLLLLPPPPPPPPP

Answers

it’s either B or C and i think it’s B because square root of 67 is 8.18535277 and when that’s square root of 49 is 7 and square root of 64 is 8 and if you look at C square root of 81 is 9 but looking at square root of 67 B looks closer to that answer

Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3
4
of a minute. At what rate does Toby load passengers?

Answers

Answer:

13 1/3

Step-by-step explanation:

10 divided by 3/4 =10 times 4/3 =40 /3 = 13 1/3

sorry don´t really know how to explain my work i just kinda do it .plus it was on my homework .

Answer:

13 1/3

Step-by-step explanation:

find the sum for(2x−6)+4(x−3)

Answers

Use distributive property
4(x-3) = 4x-12
2x-6 + 4x - 12
Combine like term
6x - 18

Answer:

6x - 18

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

(2x - 6) + 4(x - 3)

Step 2: Simplify

Distribute 4:                         2x - 6 + 4x - 12Combine like terms (x):       6x - 6 - 12Combine like terms (Z):       6x - 18

20+20 omg.please help :( ​

Answers

Answer:

40

Step-by-step explanation:

Which of the following equations has only one solution?
X( x - 1) = 9
x2 - 6x + 9 = 0
x2 = 9

Answers

Answer:

x^2 - 6x + 9

Step-by-step explanation:

x(x - 1) = 9

x^2 - x - 9 = 0

x = 3.54 or x = -2.54 (using quadratic formula)

x^2 - 6x + 9 = 0

(x-3)^2 = 0

x = 3

x^2 = 9

x = ±√3 (any positive number square rooted always have 2 answers)

What is the purpose of a pilot​ sample?

a. To help clarify how the sampling process will be performed.
b. To provide an idea of what the population standard deviation might be.
c. To save time and money instead of having to carry out a full sampling plan.
d. To provide a better idea of what the population mean will be.

Answers

Answer:

b. To provide an idea of what the population standard deviation might be

Step-by-step explanation:

Pilot sample can be regarded as the

small scale preliminary experiment whereby a smaller size of samples which is smaller compare to expected size is taken population of interest which gives the estimate for the population standard deviation.

The population standard mean is a parameter and it's been calculated from every entity of the population and

can be calculated using below formula

σ =√Σ (xi -μ)^2 /N

Where N= size of the population

σ= population standard mean

μ= population mean

Xi=each sample from the population

A car travels 1295 feet in 5 seconds. How far can the car travel in 50 seconds?

Answers

Answer:

12950

Step-by-step explanation:

Can you do this for me?

Answers

Answer:

10, 20, 30, 40

2.5, 5, 7.5, 10

120.8, 60.4, 30.2, 15.1

3624, 1812, 906, 453

hope this helps!

The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of the pond and the walkway, in square feet

Answers

Answer:

Area = 324 ft²

Step-by-step explanation:

Given

Length = 15ft

Walkway = 3ft

Required

Determine the area of the pond + the walkway

To calculate the required area, we need to get the total length of a side .

This is calculated by adding the length of a side of the pond and the side of the walkway

Total Length = Pond Length + Walkway

Total Length = 15ft + 3ft

Total Length = 18ft

Now, the required area can be calculated as thus:

Area = Total Length * Total Length

Area = 18ft * 18ft

Area = 324 ft²

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