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3 years ago

Which statement is true of the mapping? PLEASE HELP MEE

Mathematics

1 answer:

In-s [12.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

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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

Is 36 a square number

disa [49]

Yes it is a square number

5 0

3 years ago

Read 2 more answers

A railroad crew can lay 6 miles of track each day. They need ti lay 174 miles of track. The length, L (in miles), that is left t

Alex17521 [72]

X + y = 13
- x + y = 3

6 0

3 years ago

3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this

dlinn [17]

Answer:

$420.25

Step-by-step explanation:

Total earnings of the week

$= 400 + 3 \% \: of \:675 \\ \\ = 400 + 0.03 \times 675 \\ \\ = 400 + 20.25 \\ \\ = \$ 420.25$

6 0

3 years ago

Find the volume of the following

Nadusha1986 [10]

Given:

A prism with right triangular base.

Base of triangle = 6 ft

Height of triangle = 8 ft

Height of prism = 7

To find:

The volume of the given prism.

Solution:

The volume of prism is:

$V=Bh$ ...(i)

Where, B is the base area and h is the height of the prism.

In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:

$B=\dfrac{1}{2}\times base\times height$

$B=\dfrac{1}{2}\times 6\times 8$

$B=\dfrac{48}{2}$

$B=24$

Substituting $B=24,\ h=7$ in (i), we get

$V=24\times 7$

$V=168$

Therefore, the volume of the prism is 168 cubic ft.

6 0

3 years ago