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Volgvan
3 years ago
11

Keiko brought $51.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as th

e sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Keiko had $3.00 left over after buying these items.
What was the cost of each item?
Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0

Step-by-step explanation:

[(1/6 × 3/4) + (3/4) + 1] n = 51.75 -3

(⅛ + ¾ +1)n = 48.75

15/8 n = 48.75

1.875 n = 48.75

n = 48.75/1.875

n = 26

so, the cost of :

the brush = ⅛×26 = $ 3.25

the sketchbook = ¾×26 = $ 19.5

the pain set = $ 26

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Write the expression as a number in scientific notation. quantity 5 times 10 squared end quantity times quantity 4.2 times 10 to
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The value of the expression is 3.5 × 10³.

<h3>How to calculate the expression?</h3>

It should be noted that the expression given is 5 times 10 squared end quantity times quantity 4.2 times 10 to the fourth power end quantity all divided by quantity 6 times 10 cubed.

This will be:

5 × 10² × 4.2 × 10⁴ / 6 × 10³

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The value of the expression is 3.5 × 10³.

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Julian walked 6/10 of a mile to his friends house and another 35/100 mile to the store. He walked 1/4 of a mile back home. Julia
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The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked 1\frac{1}{5} \text{ or } \frac{6}{5} miles.

<u>Solution:</u>  

Given that,

  • Julian walked 6/10 of a mile to his friends house
  • Another 35/100 mile to the store
  • He walked 1/4 of a mile back home

To find total distance walked by Julian we have to add the above stated values. That is, \frac{6}{10} +\frac{35}{100} +\frac{1}{4}

Factors of 10 = 5\times2

Factors of 100 = 5\times2\times5\times2

Factors of 4 = 2\times2

Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,

\frac{6\times10}{10\times10} +\frac{35\times1}{100\times1} +\frac{1\times25}{4\times1}\rightarrow\frac{60+35+25}{100}\rightarrow\frac{120}{100}

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Which can also be written as 1\frac{1}{5}.

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3 years ago
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Step-by-step explanation:

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