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4 years ago

50 POINTS!!!!

Mathematics

2 answers:

Taya2010 [7]4 years ago

8 0

Answer:

D) x = 4, y = -2, z = 3

Step-by-step explanation:

x = 3z − 5

2x + 2z = y + 16

2(3z - 5) + 2z = y + 16

6z - 10 + 2z = y + 16

8z = y + 26 ---> (A)

7x − 5z = 3y + 19

7(3z - 5) - 5z = 3y + 19

21z - 35 - 5z = 3y + 19

16z = 3y + 54 ---> (B)

8z = y + 26

16z = 3y + 54

2(y + 26) = 3y + 54

2y + 52 = 3y + 54

y = -2

8z = -2 + 26

8z = 24

z = 3

x = 3(3) - 5

x = 4

garri49 [273]4 years ago

4 0

Answer:

The answer is D

x = 4

y = -2

z = 3

Step-by-step explanation:

Plug in the values of x and z into the first equation, and see that D is the only choice that is correct.

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The perimeter of the rectangular picture frame is 108 mm. Find its length and width if the width is 3 more than twice the length

drek231 [11]

Answer: a=17 mm length

b=37 mm width

Step-by-step explanation:

P=2a+2b

a -length

b-width

b=2a+3

------------------

108mm=2a+2(2a+3)

108=6a+6

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b=17*2+3

b=34+3

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7 0

4 years ago

Mrs. Grubb bought some shirts for $4 each and some hats for $12 each. She bought 9 pieces of clothing for $100. Write a system o

Lana71 [14]

Answer:

Mrs. grub bought total number of shirts = 1

Mrs. grub bought total number of hats = 8

Step-by-step explanation:

Let Mrs. grub bought total number of shirts = x

Let Mrs. grub bought total number of hats = y

As given,

Price of 1 shirt = $4

Price of 1 hat = $12

⇒ Price of x shirts = $ 4x

Price of y hats = $ 12y

Given that,

Mrs. Grubb bought total piece of clothes = 9

⇒ x + y = 9 .......(1)

Also given,

She bought all clothing for $100

⇒ 4x + 12 y = 100 ........(2)

Divide equation (2) by 4 we get

x + 3y = 25 .......(3)

Now,

Subtract equation (1) from equation (3) , we get

x + 3y - ( x + y ) = 25 - 9

⇒ x + 3y - x - y = 16

⇒2y = 16

⇒y = $\frac{16}{2}$ = 8

⇒ y = 8

Put value of y in equation (3), we get

x + 3(8) = 25

⇒x + 24 = 25

⇒x = 25 - 24 = 1

⇒x = 1

∴ we get

Mrs. grub bought total number of shirts = x = 1

Mrs. grub bought total number of hats = y = 8

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