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lesya [120]
2 years ago
14

Which of the following are equivalent to the statement “the price decreased by 1/3”?

Mathematics
2 answers:
Fittoniya [83]2 years ago
7 0

Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>\frac{1}{3}<em>"</em> is:

<u>F. The price is now </u><u>66, 2/3% </u><u>of what it was before</u>

<u />

<u />

Given that the original price of something decreased by 1/3, it means:

the original price is reduced by one-third.

  • One-third is not equal to half of the price.

  • 1/3 is less than 1/2.

  • 1/3 of the original price would be \frac{1}{3} \times 100 = 33.3% less of the original price.

  • This means that the new price would be: <em><u>100 - 33 = 66% of the </u></em><em><u>original price.</u></em> This shows a reduction in price. The price would drop.

  • 1/3 is more than a quarter (1/4).

<em>Any option showing or suggesting an increase is definitely the wrong answer.</em>

Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>\frac{1}{3}<em>" </em>are:

<u><em>F. The price is now </em></u><u><em>66, 2/3% </em></u><u><em>of what it was before</em></u>

Learn more here:

brainly.com/question/11293133

azamat2 years ago
4 0

Answer:

F

Step-by-step explanation:

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PLSS HELP ME I NEED IT ASAPP TYSM ILY
Hatshy [7]

Answers:

  • He needs <u>   310   </u> grams of the 99% cocoa brand
  • He needs <u>    590    </u>grams of the 70% cocoa brand

======================================================

Explanation:

Let's label the two brands of chocolate as A and B

  • Brand A is 99% cocoa
  • Brand B is 70% cocoa

Furthermore, define these variables

  • x = amount of brand A
  • y = amount of brand B

The amounts are in grams.

The two amounts must add to 900 grams, so x+y = 900. This can be solved to y = 900-x which we'll use later.

Since we have x grams of brand A, and brand A has 99% cocoa, this means 0.99x represents the amount of pure cocoa from brand A.

Similarly, brand B contributes another 0.70y grams of pure cocoa

Overall, we're dealing with 0.99x+0.70y grams of pure cocoa from the two brands mixed together.

---------------

Rolf needs 900 grams of final product. He wants it to be 80% cocoa, which means 80% of the 900 is going to be pure cocoa

80% of 900 = 0.80*900 = 720

Rolf wants 720 grams of pure cocoa after mixing the two brands together.

So this leads to the second equation: 0.99x+0.70y = 720

---------------

Let's apply substitution to replace y with 900-x

0.99x+0.70y = 720

0.99x+0.70( y ) = 720

0.99x + 0.70( 900-x ) = 720

At this point, we have a single variable in which we can isolate x fully.

0.99x + 0.70( 900-x ) = 720

0.99x + 0.70( 900) + 0.70(-x) = 720

0.99x + 630 - 0.70x = 720

0.29x = 720-630

0.29x = 90

x = 90/(0.29)

x = 310.344827586 which is approximate

Rounding to the nearest full gram, we get x = 310

Use this x value to find y

y = 900-x

y = 900-310.344827586

y = 589.655172414 which is also approximate

y = 590 when rounding to the nearest whole number

---------------

In summary, we have

  • x = 310
  • y = 590

Meaning that Rolf will need <u>310 grams</u> of brand A to mix with <u>590 grams</u> of brand B.

If we plugged those values into x+y = 900, then that equation works out.

If we tried the second equation, then,

0.99x+0.70y = 720

0.99*310+0.70*590 = 720

719.9 = 720

The slight discrepancy is due to the fact we rounded those approximate x and y values to the nearest whole number. We would get better accuracy if we rounded to say the nearest tenth or hundredth.

8 0
2 years ago
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