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labwork [276]
3 years ago
15

Amber charges $8.25 per hour to baby-sit. One Saturday she baby sat for 3.5 hours in the morning and 2.25 hours in the afternoon

. To the nearest cent how much did she earn on Saturday?
Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

$47.44

Step-by-step explanation:

The sum of hours worked= 3.5hrs + 2.25hrs= 5.75hrs

Money earnt= rate x no. hours= 5.75hrs * $8.25/hr = $47.4375

Round to nearest cent = $47.44

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Answer: i needed this question too!

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The y-intercept is 60
the slope is 30
the equation of the line is y=30x+60
the ordered pair (4,120) represents and increase of 30 minutes per hour
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3 years ago
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Which transformations can be used to carry ABCD onto itself? The point of
dmitriy555 [2]

Answer:

A and B

Step-by-step explanation:

For A, y=2 is the axis of vertical symmetry, meaning a reflection would map the shape onto itself.

For B, x=3 is the axis of horizontal symmetry, meaning a reflection would map the shape onto itself.

For C, a rotation of 90 degrees would make the shape taller vertically and shorter horizontally, therefore it would be wrong.

For D, a translation two units down would move all points down, even though some would need to go up, therefore it would be wrong.

7 0
3 years ago
Further mathematics: Find the derivative of the function x^2 y + (xy)^3 +3x=0 at (-1 , 3)​
vesna_86 [32]

Answer:

3.

Step-by-step explanation:

Implicit differentiation:

x^2 y + (xy)^3 + 3x = 0

x^2 y + x^3y^3 + 3x = 0

Using the product rule:

2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0

2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0

dy/dx(x^2 + 3y^2x^3) =  (-2xy - 3x^2y^3 - 3)

dy/dx=  (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)

At the point (-1, 3).

the derivative =  (6 - 81 - 3)/(1 -27)

= -78/-26

=  3.

8 0
2 years ago
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Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies tha
Tcecarenko [31]

Answer: She can buy up to 2 bags of nuts

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).

5.70n +4.25 ≤18

Solving for x:

5.70n ≤18 -4.25

5.70n ≤13.75

n ≤13.75/5.70

n ≤2.41  

n ≤2 (rounded)

She can buy up to 2 bags of nuts

8 0
3 years ago
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