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Katen [24]
1 year ago
5

On my 30th birthday, I plan to light 30 candles on my cake and blow 30% of them. How many candles will stay lit after I'm done?

Mathematics
2 answers:
zloy xaker [14]1 year ago
8 0

30 candles=100%

30% of 100%= 9 candles out of 100 candles

after blowing out 30% of the candles, 9 should be left lit.


SashulF [63]1 year ago
6 0
You can set up an proportion like this:

———- = ————
You can use this way for future questions.

On the left denominator/bottom, place 100, as for percents it will always be 100. On the right denominator, place 30/ the whole. On the right numerator/top, place an x, as the part is unknown. On the right numerator, place 30%/The percent.
You multiply across, then divide what’s left over.
1) multiply: 30 candles x 30 = 900
2) divide: 900/100= 9

After you blow 30% of your 39 candles, you will have 9 candles that are still lit.
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Boden is making a prize wheel for the school fair. The ratio of winning spaces to losing spaces is shown in the diagram. The tab
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The correct answers are Losing 12; Winning 15

Explanation:

The ratio of winning to losing is 5: 6 or 5/6. This means for every 5 winning spaces in the wheel there are 6 losing spaces. This ration should be used to complete the values of the table.

1. The first row shows there are 10 winning and you need to calculate the number of losing spaces. The process is shown below.

\frac{5}{6} = \frac{10}{x} - Express the ratios using fractions; use x to show the missing value

5x = 60 - Cross multiply to find the value of x

x = 60 / 5 - Solve the equation to find x

x = 12 - The number of losing is 12 if there are 10 winning spaces

2. The second row shows there are 18 losing spaces, and you need to calculate the number of winning spaces. Repeat the process.

\frac{5}{6} = \frac{x}{18}

6x = 90

x = 90 / 6

x =15 - The number of winning spaces is 15 if there are 18 losing spaces

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2 years ago
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Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transform
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B, D, and E

Step-by-step explanation:

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Fill in the blank. Given O below, you can conclude that xz is congruent to
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Answer:

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walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

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Eric created a rectangular patio using 1 foot square paving stones which are sold in batches by the Dozen the patio measures 7 f
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Eric need 5 batches of paving stones to created his patio.
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