All categories

3 years ago

Santa's elves are selling

Mathematics

1 answer:

Andreas93 [3]3 years ago

6 0

cost of one peppermint cookies = $ 0.6

cost of one cinnamon sugar cookies = $ 0.3

<h3><u>Solution:</u></h3>

Let "p" be the cost of one peppermint cookies

Let "c" be the cost of one cinnamon sugar cookies

<u><em>To find: cost of each cookie</em></u>

<h3><u><em>On the first day, they sold 120 peppermint cookies and 30 cinnamon sugar cookies for a total of $81</em></u></h3>

We can frame a equation as:

120 peppermint cookies x cost of one peppermint cookies + 30 cinnamon sugar cookies x cost of one cinnamon sugar cookies = $ 81

$120 \times p + 30 \times c = 81$

120p + 30c = 81 --------- eqn 1

<h3><u><em>The next day they made $60 by selling 70 peppermint cookies and 60 cinnamon sugar cookies</em></u></h3>

70 peppermint cookies x cost of one peppermint cookies + 60 cinnamon sugar cookies x cost of one cinnamon sugar cookies = $ 60

$70 \times p + 60 \times c = 60$

70p + 60c = 60 --------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "p" and "c"

Multiply eqn 1 by 2

240p + 60c = 162 --- eqn 3

Subtract eqn 2 from eqn 3

240p + 60c = 162

70p + 60c = 60

(-) -------------------------

170p = 102

Substitute p = 0.6 in eqn 1

120p + 30c = 81

120(0.6) + 30c = 81

72 + 30c = 81

30c = 9

<u><em>Summarizing the results:</em></u>

<em>cost of one peppermint cookies = $ 0.6</em>

<em>cost of one cinnamon sugar cookies = $ 0.3</em>

You might be interested in

Find the absolute value. | -1 - i |

Nostrana [21]

1 + i? I think. Because they are both negative because you aren't actually subtracting just adding a negative

3 0

3 years ago

I need help Please!!!! Please give answer ASAP!!! thxs :)

zvonat [6]

The Length of the Given Sign = 90 inches

The Side of the Triangle can be found by Pythagorean Theorem

⇒ (Side of the Triangle)² = 40² + 30²

⇒ (Side of the Triangle)² = 1600 + 900

⇒ (Side of the Triangle)² = 2500

⇒ (Side of the Triangle) = 50

⇒ Perimeter of the Given Sign = (4 × Side of Triangle) + (2 × Length)

⇒ Perimeter of the Given Sign = (4 × 50) + (2 × 90)

⇒ Perimeter of the Given Sign = (200 + 180) = 380 in

6 0

3 years ago

Finding an Equation of a Tangent Line In Exercise, find an equation of the tangent line to the graph of the function at the give

Doss [256]

Answer:

$y=3x-3$

Step-by-step explanation:

We are given that

$y=ln x^3$

Point (1,0)

We have to find the equation of tangent line to the given graph.

Differentiate w.r.t x

$\frac{dy}{dx}=\frac{1}{x^3}\times 3x^2}=\frac{3}{x}$

$\frac{d(lnx)}{dx}=\frac{1}{x}$

Substitute x=1

$m=\frac{dy}{dx}=3$

Slope-point form:

$y-y_1=m(x-x_1)$

$x_1=1,y_1=0$

By using this formula

The equation of tangent to the given graph

$y-0=3(x-1)=3x-3$

$y=3x-3$

8 0

4 years ago

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find

Minchanka [31]

$\left \{ {{x+3y=9~(3)} \atop {3x-y=7(-1)}} \right. \\
\\ \left \{ {{3x+9y=27} \atop {-3x+y=-7}} \right. \\ \\10y=20\\
\\y= \frac{20}{10} \\y=2$

$x+3y=9\\x=9-3y\\x=9-3.2\\x=3$

$S=\{3,2\}$

One solution.

8 0

3 years ago

Read 2 more answers

4,5,10,8,4,8,7,6 range

kati45 [8]

10 meaning the biggest number and then subtract by 4 since it’s the lowest number and you get 6.

3 0

3 years ago

Read 2 more answers