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OLEGan [10]
3 years ago
14

The sum of two numbers is 1. The difference of the numbers is 9. What are 5 points

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

The numbers are 5 and -4

Step-by-step explanation:

let the numbers be =x and y

x+y=1—eqn 1

x-y=9—eqn 2

Add both equations

2x=10

x=5

Plug x=5 into eqn 2

5-y=9

5-9=y

y=-4

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Alayna worked 44 hours last week. Her hourly rate is $9.00. Alayna’s gross pay for last week was $
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Answer:

$396

Step-by-step explanation:

Alayna's hourly rate (or pay per hour) is $9.

She worked 44 hours in total last week. To solve, multiply 44 with 9

44 x 9 = $396

Alayna's gross pay for last week was $396.

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The number of pies sold by the Chipper Bakery is 3/4 of the number of cookies sold by the Yummy Cookie Company. If both the busi
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Answer:

Number of cookies sold by the Yummy Company = 32.

Step-by-step explanation:

Let the number of cookies sold by the yummy company be x.

Then the number of pies sold by The Chipper Bakery is 3/4 x.

When they have 16, more we have:

Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)

So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)

= 7/4 x  + 32 =  11/6 x + 16 + 80/6

7/4 x - 11/6x = 16 + 80/6 - 32

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x = -8/3 * -12

x = 32.

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3 years ago
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3 years ago
What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down?
zheka24 [161]

Answer:

A" =(-1,-1)    B" =(-2,1)

C" =(-4,1)    D" =(-5,-1)

Step-by-step explanation:

Given

A = (1,1)        B =(2,3)

C = (4,3)        D = (5,1)

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

(x,y)=>(-x,y)

So:

A = (1,1) => A' = (-1,1)

B =(2,3) => B' = (-2,3)

C = (4,3) => C' = (-4,3)

D = (5,1) => D' = (-5,1)

When a point is translated 2 units down, the rule is:

(x,y) => (x,y-2)

So:

A = (1,1) => A' = (-1,1) => A" =(-1,-1)

B =(2,3) => B' = (-2,3) => B" =(-2,1)

C = (4,3) => C' = (-4,3)=> C" =(-4,1)

D = (5,1) => D' = (-5,1) => D" =(-5,-1)

So, the new coordinates are:

A" =(-1,-1)    B" =(-2,1)

C" =(-4,1)    D" =(-5,-1)

5 0
3 years ago
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