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2 years ago

A pair of flip flops is $30. How much will they cost after a 20% discount and 6.5% tax. Please show your work.

Mathematics

1 answer:

jeka942 years ago

6 0

Answer:

The flip flops cost $25.56 after the discount and tax.

Step-by-step explanation:

A pair of flip flops is $30. This is our starting amount.

The tax will be applied on the price the flip flops are bought for. This means we must apply the discount first.

The discount is 20%. Let's find what the flip flops were sold for.

If the discount is 20%, the flip flops were sold for 80% of their original price. Let's find 80% of 30.

80% of 30 = ?

0.80 • 30 = ?

= 24

The flip flops were sold for $24.

Now we have to apply a 6.5% tax. To find the amount of money added to the total, we need to find 6.5% of 24.

6.5% of 24 = ?

0.065 • 24 = ?

= 1.56

The tax was $1.56.

We need to add the tax to the discounted price.

1.56 + 24 = ?

= 25.56

The flip flops cost $25.56 after the discount and tax.

Hope this helps!

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Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2

kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is $x=-83.25$

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

$(y - k)^{2}=4p(x - h)$

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

$x=y^{2} +18y-2$

Convert to standard form

$x+2=y^{2} +18y$

$x+2+81=y^{2} +18y+81$

$x+83=(y+9)^{2}$

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

The vertex is the point (-83,-9)

step 2

we have

$x+83=(y+9)^{2}$

Find the value of p

$4p=1$

$p=1/4$

Find the focus

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

$x=h-p$

substitute

$x=-83-1/4$

$x=-83.25$

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2 years ago

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NISA [10]

Answer:

Step-by-step explanation:

x=9

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2 years ago

How do you solve X/2-5=10

Afina-wow [57]

Answer: x2-5=10

Two solutions were found :

x = ± √15 = ± 3.8730

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x^2-5-(10)=0

Step by step solution :

Step 1 :

Trying to factor as a Difference of Squares :

1.1 Factoring: x2-15

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 15 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step 1 :

x2 - 15 = 0

Step 2 :

Solving a Single Variable Equation :

2.1 Solve : x2-15 = 0

Add 15 to both sides of the equation :

x2 = 15

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

x = ± √ 15

The equation has two real solutions

These solutions are x = ± √15 = ± 3.8730

Two solutions were found :

x = ± √15 = ± 3.8730

Step-by-step explanation:

5 0

2 years ago

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Karo-lina-s [1.5K]

Answer:

Johanatho will get in 4.53 hours. joahnathons cousin will take 4.57 hours.

Step-by-step explanation:

340/75=4.53

320/70=4.57

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2 years ago