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IrinaK [193]
2 years ago
6

30 POINTS! Monica paid sales tax of $1.50 when she bought a new bike helmet. if the sales tax rate was 5%, how much did the stor

es charge for the helmet before tax?
Mathematics
2 answers:
avanturin [10]2 years ago
6 0
Hmm... well, here ya go. 

1.50 ÷ 0.05 = 30 
So, the total is $30 
As for the tax rate, including the total, it would be $31.50.

Hope I helped.  
Ronch [10]2 years ago
3 0
1.50\0.05=30
plus tax equals $31.50
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Victor baked 30 chocolate chip cookies,18 peanut butter cookies, and 24 sugar cookies. He wants to split them up into equal and
mylen [45]

Answer:

He can make 6 groups

Step-by-step explanation:

To solve this problem first you need to find the GCF or greatest common factor. Now you can put 5 chocolate chip cookies in each group, 3 peanut butter, and 4 sugar cookies. These are all relatively prime so that would be your final answer.

7 0
2 years ago
Prove algebraically that the recurring decimal 0.472 can be written as<br> 17<br> 36
Katen [24]

Given:

The recurring decimal is 0.47\overline{2}.

To prove:

Algebraically that the recurring decimal 0.47\overline{2} can be written as \dfrac{17}{36}.

Proof:

Let,

x=0.47\overline{2}

x=0.472222...

Multiply both sides by 100.

100x=47.2222...     ...(i)

Multiply both sides by 10.

1000x=472.2222...        ...(ii)

Subtract (i) from (ii).

1000x-100x=472.2222...-47.2222...

900x=425

Divide both sides by 900.

x=\dfrac{425}{900}

x=\dfrac{17}{36}

So, 0.47\overline{2}=\dfrac{17}{36}.

Hence proved.

8 0
2 years ago
A scale model of a car is 9 inches long. the scale is 1:18. How many inches long is the car it represents?
Rom4ik [11]
1 inch of the model - 18 inches of the car
9 inches of the model - x inches of the car

\frac{1}{18}=\frac{9}{x} \\ &#10;x=9 \times 18 \\&#10;x=162

The car is 162 inches long.
8 0
2 years ago
When expressing sets, you may write "inf" for infinity and "U" for union.
GarryVolchara [31]

Answer:

The complement of the given set in interval notation is(-\infty,-5]\cup(6,\infty). It can we written as (-inf,5]U(6,inf).

Step-by-step explanation:

The given set in interval notation is

(−5,6]

It means the set is defined as

A=\{x|x\in R,-5

If B is a set and U is a universal set, then complement of set B contains the elements of universal set but not the elements of set B.

Here, universal set is R, the set set of all real numbers.

U=\{x|x\in R\}

The complement of the given set is

A^c=U-A

A^c=\{x|x\in R,-\infty

Complement of the given set in interval notation is

A^c=(-\infty,-5]\cup(6,\infty)

Therefore the complement of the given set in interval notation is(-\infty,-5]\cup(6,\infty). It can we written as (-inf,5]U(6,inf).

3 0
2 years ago
Thomas is saving money for a new mountain bike. The amount (a) Thomas needs to save is more than $50.45. Which inequality models
AfilCa [17]
C.

This is because the amount is more than what he needs to save, considering that he is probably has some money in his bank already.
3 0
2 years ago
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