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ozzi
2 years ago
13

in a bag of red and yellow cookies the ratio of red cookies to Yellow cookies is 4 :5 if the bag contains 80 yellow cookies how

many cookies are there ​
Mathematics
1 answer:
Leviafan [203]2 years ago
6 0

Answer:

144 total cookies

Step-by-step explanation:

First, set up a proportion to find out how many red cookies there are. 4 over 5 is equal to x over 80. Cross-multiply and you will get 64 red cookies. This question is asking how many total cookies there are, so you would add the red and yellow cookies together. 64 plus 80 is 144 total cookies.

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18. A new truck costs $32,000. The car’s value will depreciate over time, which means it will lose value. For tax purposes, depr
Vlad [161]
The answer is 2,500

32,000 - 24,500 /3
8 0
3 years ago
An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin
Wittaler [7]

Answer:  119,616

You may have to erase the comma when inputting the answer.

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

Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

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

Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\

The author sold about 119,616 books over the course of the first nine months.

4 0
2 years ago
The scale of scores for an IQ test are approximately normal with mean 100 and standard deviation 15. The organization MENSA, whi
Zina [86]

Answer:

B) 47.5%

Step-by-step explanation:

Refer to the normal distribution chart attached. If 130 is 2 standard deviations higher than the mean (ignore the numbers beneath the percentages), then by the empirical rule, this means that 34%+13.5%=47.5% of adults are between IQs of 100 and 130. Therefore, option B is correct.

5 0
2 years ago
A bag contains 4 black tiles, 5 white tiles, and 6 blue tiles. Event A is
Murljashka [212]

Answer:

2/21

Step-by-step explanation:

The question is badly formatted so cannot match the answer choice

Total number of tiles = 4 + 5 + 6 = 15

P(A) = P(drawing a black tile from 15 tiles) = 4/15

After event A, there are 14 tiles left : 3 black, + 5 white + 6 blue

P(B/A) = P(drawing white tile after a black tile has been drawn) = 5/14

P(A and B) = P(A).P(B/A) = 4/15 x 5/14 = 2/21

Note that P(B) = 5/15 since we are talking about independently drawing a white tile from the original stack of tiles

6 0
1 year ago
A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth o
kolezko [41]
See the picture attached to better understand the problem

we know that
in the right triangle ABC
sin 70°=opposite side angle 70°/hypotenuse


in this problem
opposite side angle 70°=AB
hypotenuse=AC----> 32 ft
sin 70°=AB/32------> AB=32*sin 70°-----> AB=30.07 ----> AB=30.1 ft


4 0
3 years ago
Read 2 more answers
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