Identify an equation in point-slope form for the line perpendicular to y = 1/4 x - 7 that passes through (-2,-6)
1 answer:
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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 = = 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
Answer:
4 parrots
3 cages
Step-by-step explanation:
Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):
Solving the linear system:
Bryan has 4 parrots and 3 cages.