I NEED HELP . I'm having trouble trying to figure out how to answer this can anyone help please?

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determin

KengaRu [80]

Infinite number of solutions. x=4 and x=8

7 0

3 years ago

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

How would I solve this agai n

Svetllana [295]

Answer:

The area is 35 inches

Step-by-step explanation:

You will need to cut the shape into 3 parts

the 3 by 3

2 by 5

and 4 by 4

after that you multiply the numbers to get the area of the 3 parts.

The final step is to add them all up

( if you have more problems message me)

3 0

3 years ago

Read 2 more answers

3. Determine which of the following pairs is an adjacent side for quadrilateral MOLE below.

yKpoI14uk [10]

Pairs which is Adjacent side for quadrilateral MOLE is given below.

Step-by-step explanation:

Given:

Quadrilateral MOLE

Pair of adjacent sides of the quadrilateral.

Adjacent sides have one vertex common.

Option A: MO and LE

These sides does not have common vertex.

MO and LE are opposite sides in the quadrilateral MOLE.

It is not true.

Option B: EO and ME

In the quadrilateral, ME is not a side.

So it is not true.

Option C: LE and OL

In the quadrilateral, OL is not a side.

So it is not true.

Option D: ML and LE

These sides have common vertex L.

Therefore ML and LE are pair of adjacent sides.

It it true.

Hence ML and LE is a pair of adjacent side for quadrilateral MOLE.

7 0

3 years ago

The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability

Marianna [84]

Answer:

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

Step-by-step explanation:

According to the given data we have the following:

mean = μ= 22

standard deviation = σ = 2

n = 100

μx = 22

σx=σ/√n=2/√100=0.2

Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2

=P(z<-1)

= 0.159

The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159

3 0

3 years ago