I WILL GIVE Brainiest IF YOUR RIGHT

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

$\mathrm{Subsititute\:}z=8\text{ in (vi)}$

$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

$\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}$

$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0

3 years ago

Trey went to the batting cages to practice hitting. he rented a helmet for $4 and paid $0.75 for each group of 20 pitches. if he

matrenka [14]

My man paid for 4 groups of 20.

7 0

3 years ago

Find an equation for the sphere with center and passing through the point

Amanda [17]

Hi
Igbj7jgijgboihvfnjfv ghhgjmj

5 0

3 years ago

Camilo compró un auto usado en $6,000.000y aceptó pagar $1,000.000 al contado y $1,000.000 al mes con interés del 6% anual sobre

Korolek [52]

Answer:

El pago total que hará Camilo es $6,150,000

Step-by-step explanation:

La cantidad que Camilo compró el auto usado = $6,000,000

La cantidad que Camilo acordó pagar en efectivo = $1,000,000

La cantidad que pagará Camilo en un mes = $1,000,000

El interés sobre el saldo impago = 6%

Por lo tanto, tenemos;

El interés sobre el saldo en un año = 6/100 × 5,000,000 = 300,000

El interés por mes = 300.000 / 12 = 25.000

La cantidad de meses que Camilo paga el saldo de 5,000,000 a 1,000,000 por mes = 5,000,000 / 1,000,000 mes = 5 meses

El momento en que paga el saldo restante = El sexto mes

La cantidad de interés pagado en los seis meses = 25,000 × 6 = 150,000

El pago total que hará Camilo, A = 6,000,000 + 150,000 = 6,150,000

El pago total que hará Camilo, A = $6,150,000

8 0

3 years ago

Write the equation of the line that passes through the given point and is perpendicular to the given line

Bumek [7]

Answer:

y = 5

Step-by-step explanation:

<u>The line x = 3 is parallel to y- axis, the perpendicular line is going to be parallel to x- axis and will have an equation:</u>

y = a

<u>Since it passes through the point (-2, 5), it will have a = 5:</u>

y = 5 is the line we need

3 0

2 years ago