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Andrei [34K]
3 years ago
8

Correct answer.

Mathematics
1 answer:
kaheart [24]3 years ago
5 0

Answer:

The cost of both shirts and jeans after discount is $71

Step-by-step explanation:

Given as :

The number of shirts bought = 3

The number of pair of jeans bought = 2

The cost of each shirt before discount = $12

The cost of each pair of jeans before discount = $19

The discount on total cost = $3

Let The total cost paid = $A

<u>Now, According to question</u>

Total cost of items = number of shirts bought × cost of each shirt before discount +  number of pair of jeans bought × cost of each pair of jeans before discount

Or, A = 3 × $12 + 2 × $19

Or, A = $36 + $38

Or, A = $74

<u>Again</u>

Discount of $3 is applied on total cost

So, The cost of items after discount = $74 - $3

Or, The cost of items after discount = $71

Hence, The cost of both shirts and jeans after discount is $71 Answer

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3/4(12x−8)+3=10−1/2(6x+2)
Aleonysh [2.5K]

Answer:

x=1

Step-by-step explanation:

\frac{3}{4}(12x-8)+3=10-\frac{1}{2}(6x+2)

(9x-6)+3=10-(3x+1)

9x-6+3=10-3x-1

9x-3=9-3x

9x=12-3x

12x=12

x=1

8 0
2 years ago
Find the value of y and find m∠C and m∠D in the triangle given below.
stepan [7]

Answer:

Step-by-step explanation:

4 0
2 years ago
Un paracaidista que pesa 70 N es lanzado de un avión. halla su masa​
77julia77 [94]

Answer:

<em>La masa del paracaidista es 7.14 Kg</em>

Step-by-step explanation:

<u>Peso y Masa</u>

La masa de un objeto es una medida de la cantidad de material que el objeto posee. Sus unidades más comunes son el Kg, gr, lb, Ton.

El peso de un objeto de masa m es la fuerza con la cual la Tierra atrae al objeto a través de la aceleración de gravedad g. Sus unidades son iguales a las de cualquier fuerza, es decir, Nw, Kgf, Dina. Su fórmula es:

P=m.g

Si tenemos el peso P=70 N, podemos calcular la masa, despejándola de la fórmula:

\displaystyle m=\frac{P}{g}

Sustituyendo los valores:

\displaystyle m=\frac{70}{9.8}=7.14\ Kg

La masa del paracaidista es 7.14 Kg

8 0
3 years ago
Find the length of each side of the triangle determined by the three points P1,P2, and P3. State whether the triangle is an isos
Tanya [424]

Answer:

The triangle is both an Isosceles triangle and a right triangle.

Step-by-step explanation:

Given the vertices of a triangle.

$ P_{1} = (- 1, 4) $

$ P_{2} = (6, 2) $    and

$ P_{3} = (4, - 5) $

We find the distance between all the points to determine the length of each side of the triangle.

Distance between any two points, say, $ (x_1, y_1) $ and $ (x_2, y_2) $ is:

                                 $ \sqrt{\bigg ( \textbf{x}_{\textbf{2}} \hspace{1mm} \textbf{- x}_{\textbf{1}} \bigg )^{\textbf{2}} \textbf{+}   \bigg( \textbf{y}_{\textbf{2}} \hspace{1mm} \textbf{- y}_{\textbf{1}} \bigg)^ {\textbf{2}} $

Length between $ P_1 $ and $ P_{2} $ , (Side 1) :

$ (x_1, y_1) = (- 1, 4) $     and

$ (x_2, y_2) = (6, 2) $

Distance = $ \sqrt{\bigg(6 - (-1) \bigg)^{2} \hspace{1mm} + \hspace{1mm} \bigg( 2 - 4 \bigg )^2 $

$ = \sqrt{7^2 + 2^2} $

$ = \sqrt{49 + 4} $

$ = \sqrt{\textbf{53}} $

Length of Side 1 = $  \sqrt{\textbf{53}} $ units.

Distance between $ P_1 $ and P_2 , (Side 2):

$ (x_1, y_1) = (-1, 4) $

$ (x_2, y_2) = (4, - 5) $

Distance = $ \sqrt{ \bigg( 4 + 1 \bigg)^2 \hspace{1mm} + \bigg( - 5 - 4 \bigg ) ^2 $

$ = \sqrt{ 25 + 81 } $

$ = \sqrt{\textbf{106}} $

Length of Side 2 = $ \sqrt{\textbf{106}} $ units.

Distance between $ P_2 $ and $ P_3 $ , Side 3 :

$ (x_1, y_1) = (4, 5) $

$ (x_2, y_2) = (6, 2) $

Distance = $ \sqrt{ 2^2 \hspace{1mm} + \hspace{1mm} 7^2} $

$ = \sqrt{49 + 4} $

$ = \sqrt{\textbf{53} $

Length of Side 3  = $ \sqrt{\textbf{53}} $ units.

Note that the length of Side 1 = Length of Side 3.

That means the triangle is Isosceles.

Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:

(Side 1)² + (Side 3)² = (Side 2)²

$ \bigg( \sqrt{53} \bigg )^2 \hspace{1mm} + \hspace{1mm} \bigg( \sqrt{53} \bigg)^2 \hspace{1mm} = \hspace{1mm} \bigg ( \sqrt{106} \bigg ) ^2 $

i.e, 53 + 53  = 106

Hence, the triangle is a right - angled triangle as well.

7 0
3 years ago
A restaurant manager can spend at most $400 a day for operating costs and payroll. It costs $100 each day to operate the bank an
horrorfan [7]

Answer:

The restaurant Manager can afford 6 employees for the day.

Step-by-step explanation:

Manager can spend at most of $400.

Total Money ≤ $400

Cost to operate bank = $100

Cost for each employee = $50

Let number of employees for the day bex

Hence the equation will become;

50x + 100 \leq 400

Solving this equation we get;

50x + 100 \leq 400\\50x \leq 400-100\\50x \leq 300\\x\leq \frac{300}{50}\\\\x\leq 6

Hence, The restaurant Manager can afford 6 employees for the day.

3 0
3 years ago
Read 2 more answers
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