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ra1l [238]
2 years ago
7

The discount on a toy is 40% the toy robot is on sale for $54 find the original price

Mathematics
2 answers:
maria [59]2 years ago
5 0

Answer:

The original price is $90.

Step-by-step explanation:

100% - 40% = 60%

\frac{54}{y} :\frac{60}{100}

y × 60 = 54 × 100

60y = 5400

60y ÷ 60 = 5400 ÷ 60

y = 90

Sidana [21]2 years ago
3 0

Answer:

90

Step-by-step explanation:

If the discount is 40%, we are still paying 100-40% or 60 %

original price * 60% = sale price

original price * .6 = 54

Divide each side by .6

original price = 54/.6

original price =90

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A quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) . Find the equation for the line (axis) of symmetry
ra1l [238]

Answer:

The equation for the axis of symmetry is x=1.5.

Step-by-step explanation:

It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .

In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.

If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is

x=\frac{a+b}{2}

According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.

x=\frac{-5+8}{2}

x=\frac{3}{2}

x=1.5

Therefore the equation for the axis of symmetry is x=1.5.

8 0
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
2 years ago
Kim wrote the number 11. Use mental math to tell what number has ??
Eduardwww [97]

2 more 10s then 11 is 31

1 more 10s then 11 is 21

3 more 10s then 11 is 41.

basic math :)

3 0
3 years ago
Read 2 more answers
(1Q) Describe how to transform the graph of g(x) = lnx into the graph of f(x)= ln(x-4)+3?
xxMikexx [17]

Answer:

B

Step-by-step explanation:

The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.

Red: Parent Function y = ln(x)

Blue: 4 units right. 3 units up.

Answer: B

6 0
3 years ago
I need heeelllppp please
barxatty [35]

\frac{ { - 5}^{2}  +  {10}^{2} }{(2 \times ( - 5) \times 3) +  {3}^{3} } =  \frac{ - 25 + 100}{ - 30 + 27}   =  \\  =  \frac{75}{ - 3}  =  - 25

5 0
3 years ago
Read 2 more answers
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