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DENIUS [597]
2 years ago
13

Monica paid sales tax of $4.50 when she bought a new bike helmet. If the sales tax rate was 9%, how much did the store charge fo

r the bike helmet before tax?
Mathematics
1 answer:
Paladinen [302]2 years ago
4 0

We will see that the price of the bike helmet without the tax is $50

<h3>How to find the original price?</h3>

Let's define P as the original price, this is the 100%.

We know that a tax rate of the 9% is equal to $4.50, then we can write two equations:

100% = P

9% = $4.50

We can take the quotient between these two equations and solve that for P, we will get:

(100%/9%)*$4.50 = P = $50

So the price of the helmet, without tax, is $50.

If you want to learn more about taxes, you can read:

brainly.com/question/14345924

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Charlotte and Riley walked 6/10 of a mile to school one day, and then after school they walked 3/8 of a mile to the store. From
IrinaK [193]

Answer: The girls walked 1\dfrac38 miles.

Step-by-step explanation:

Given:  Distance from home to school = \dfrac{6}{10} mile

Distance from school to store = \dfrac38 mile

Distance from store to home = \dfrac25 miles

Total distance = \dfrac6{10}+\dfrac38+\dfrac25

= \dfrac{6\times4+3\times5+2\times8}{40}   [L.C.M.(10,8,5)=40]

= \dfrac{24+15+16}{40}

= \dfrac{55}{40}

= \dfrac{11}{8}=1\dfrac38  miles

Hence, The girls walked 1\dfrac38 miles.

3 0
3 years ago
Rewrite the expression as a sum of terms, where each term is in the form k\cdot a^nk⋅a
muminat

Answer:

  2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}

Step-by-step explanation:

It looks like you want to expand the expression ...

  \sqrt{a}\left(2a^2 -\dfrac{4}{a}\right)

Use the distributive property and rules of exponents.

  =2a^{(\frac{1}{2}+2)}-4a^{(\frac{1}{2}-1)}\\\\=\boxed{2a^{\frac{5}{2}}-4a^{-\frac{1}{2}}}

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The relevant rules of exponents are ...

  √a = a^(1/2)

  1/a = a^-1

  (a^b)(a^c) = a^(b+c)

8 0
3 years ago
Solve 1 + x - 15 =-2/2/3
german

Answer:

1 + x - 15 =-2/2/3

x-14=-2/2/3

x-14=-.33

x=14.33

Step-by-step explanation:

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3 years ago
A. (0, -2)
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Answer: D

Step-by-step explanation: edge

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3 years ago
F(x)= (x - 6)(x + 2)?<br> What is the vertex of the quadratic function
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Answer:

With this form, we can tell that the x intercepts are x=6 and x=-2. So the x coordinate of the vertex is 2

Step-by-step explanation:

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3 years ago
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