You sell small and large candles at a craft fair. Small candles cost $4 each and large candles cost $6 each. You collect $144 after selling a total of 28 candles. How many of each type of candle did you sell? Write a linear system to represent the situation. Be sure to define your variables.

Answers

Answer 1

Answer: Small Candle = 12, Large Candle = 16

Step-by-step explanation:

Equation is this, s+l=28 2nd equation is 4s+6l=144

now you multiply every number in the second equation by -6 since positive 6 is the second equations second constant. Now you got -6s-6l=-168 And 4s+6l=144. The -6l and positive cancel so now you got -6s + 4s = -168+144. Now you got -2s = -24. Divide them both by negative two then you get s = 12. 28 candles total - 12 = 16 so 16 large candles and 12 small. L = large candles, S = small candles.

Answer 2

Answer:

8 small candles

16 large candles

Step-by-step explanation:

1. Approach

Set up a system of equations to solve this problem. Call the number of small candles sold (x), and the number of large candles sold (y). Have one expression model the amount of money earned, the other model the number of candles sold. Then, solve this system of equations using the process of elimination. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate. Then one can solve for the other variable, and finally, substitute the value of the variable that one found back into one of the equations, and solve for the value of the other variable.

2. Set up a system of equations

Use the given information to set up a system of equations to describe the amount earned, and the amount sold

x + y = 28 -> amount sold

4x + 6y = 144 -> amount earned

3. Solve the system

As explained above, the process of elimination is a method of solving a system of equations. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate.

x + y = 28 (*-4)

4x + 6y = 144

-4x - 4y = -112

4x + 6y = 144

___________

2y = 32

/2     /2

y = 16

4. Solve to find out how much of the other candle was sold

Now back solve, substitute the found value into one of the equations, and solve to find the other value

x + y = 28

y = 16

x + 16 = 28

    -16     -16

x = 8


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Answers

Answer:

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Step-by-step explanation:

Tan = opp/adj

Tan C = 27/37

Tan inverse (.729 . . .) = C

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:75

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Step-by-step explanation:

[tex]{14}^{2} = {10}^{2} + {x}^{2} \\ {x}^{2} = {14}^{2} - {10}^{2} \\ {x}^{2} = 196 - 100 = 96 \\ x = \sqrt{96} = 9.79 = 9.8[/tex]

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Answers

Answer: The answer would be 2/3 = x/9

It would take 9 minutes to read 6 pages as per the proportional relationship.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let y be the number of pages, and x be the time,
According to the quesiton,
x/y = 3 / 2

Now,
Put y = 6
x/6 = 3/2
x = 9 minutes

Thus, it would take 9 minutes to read 6 pages as per the proportional relationship.

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Answers

Answer:

C

Step-by-step explanation:

If x=0 is 2010, you can infer that x=6 would be 2016.

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Question 2 (25 points)
Solve for the missing hypotenuse. Round your answers to the nearest tenth. Figures are not drawn to scale.

Help me ASAP!!!!!!!! Plzzzz

Answers

Answer:212.4

Step-by-step explanation:

Opposite/hypotenuse

Sin23=83/x

Multiply x to both sides to cancel out the x under 83

You get xsin23=83

Then divide sin23 to both sides

X=83/sin23

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Answers

Answer:

12 deg

Step-by-step explanation:

The change in temperature is the new temperature minus the old temperature.

0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

The change in 12 deg.

QUESTION IN THE PICTURE

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Answers

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All real numbers

Step-by-step explanation:

All vertical parabolas have a domain of all real numbers

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

EDGE 2021

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0. Multi-Step Nathanial has a dog walking
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Answers

Answer:

Nathanial will charge $12

Step-by-step explanation:

If he charges $3 per 15 minutes, one hour is 60 minutes. And 60 divided by 15 is 4 so you do 3x4 because he charges $3 per 15 minutes.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

0 real roots

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

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with a = - 9, b = 1, c = - 7 , then

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Answers

Answer:

$82.50 is the discount.

Step-by-step explanation:

550 x .15 = $82.50

Hope that helps!

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Answers

Answer: B

Step-by-step explanation:

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Answers

Answer:

given radius =6

Area of triangle =1/2*base*height

=1/2*6*6=18

area of quadrant =1/4πr^2

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area of shaded region =area of quadrant -area of triangle

=28.2-18=10.2

Jason opens a savings account with $50. Each week
after, he deposits $25. In how many weeks will he have
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Find the number.

Answers

Answer:

16 weeks

Step-by-step explanation:

16 is the answer ok! Bye

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Answers

Answer:

sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)

45 = 9 *5 "9" is a perfect square so

sqrt (45) = 3 * sqrt (5) * sqrt (2)

sqrt (2) * sqrt (80)

80 = 16 * 5  "16" is a perfect square so

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Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

equilateral

isosceles

scalene

The triangles with equal sides from least to greatest

Equilateral, Isosceles, Scalene.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The reason for this order is that an equilateral triangle has all three sides equal in length, while an isosceles triangle has two sides equal in length and one side different.

A scalene triangle has all three sides of different lengths.

Since all three sides of an equilateral triangle are equal, it has the smallest perimeter of the three types of triangles.

The isosceles triangle has two sides equal, so its perimeter will be greater than that of an equilateral triangle, but less than that of a scalene triangle.

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Answer:

The law companies that value excessive ethics comply with the legal guidelines not solely in letter however go past what is stipulated 1 My proudest accomplishment is organizing

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Answer:

6) 121.2 sq meters

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Step-by-step explanation:

#6 and 7:  base x height

#8: base x height / 2

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Answers

b + b + h+ h, then b^2+h^2

Answer:

b + b + h + h and since you have two of each you can say 2b + 2h.

Jason paid a $100 start-up fee for his
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B 340 = 100+ 6x
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Answers

Answer:

b

Step-by-step explanation:

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