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2 years ago

2z - 31 = -9z + 24

Mathematics

2 answers:

SpyIntel [72]2 years ago

6 0

You would combine like terms so the answer would be -7z-7

Ipatiy [6.2K]2 years ago

5 0

You move one of the equations to the other side and then combine like terms

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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

An unfair coin with Pr[H] = 0.75 is flipped. If the flip results in a head, a student is selected at random from a class of si

Agata [3.3K]

Answer:

72.73% probability of selecting a girl, given the flip resulted inheads

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Coin resulted in heads

Student is selected at random from a class of six boys and sixteen girls.

Desired outcomes:

16 girls, so $D = 16$

Total outcomes:

16+6 = 22, that is, 22 students, so $T = 22$

Probability:

$P = \frac{16}{22} = 0.7273$

72.73% probability of selecting a girl, given the flip resulted inheads

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3 years ago

At Pizza Pi, 52% of the pizzas made last week had extra cheese. If 13 pizzas had extra cheese, how many pizzas in all were made

kodGreya [7K]

Answer:

Step-by-step explanation:

i hope this help

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2 years ago

There are many campers at Camp Lots of Fun. This morning, 4 kids went home sick. Of the remaining campers, 18 kids went hiking a

erastovalidia [21]

Answer:

Step-by-step explanation:

You would add 41 + 18 + 4, which obviously gets you 63. Hope this helped!

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3 years ago

Suppose that u⃗ =⟨−6,2⟩ and v⃗ =⟨−2,−6⟩. What is the angle between u⃗ and v⃗ , rounded to the nearest degree?

wlad13 [49]

Answer:

Ya'll ask the most complicated questions that never get answered just gooogle it dude

Step-by-step explanation:

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2 years ago