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Basile [38]
4 years ago
12

If 1800ml of a juice drink is 15% grape juice, how much grape juice should be added to make a drink that is 20% grape juice?

Mathematics
1 answer:
Svetach [21]4 years ago
7 0

Answer:

  112.5 mL

Step-by-step explanation:

Let x represent the amount of grape juice to add. Then the total amount of grape juice in the mix is ...

  0.15(1800) +x = 0.20(1800+x)

  270 +x = 360 + 0.2x . . . . . . eliminate parentheses

  0.8x = 90 . . . . . . . . . . . . . . . subtract 270+0.2x

  x = 90/0.8 = 112.5 . . . . . . . . divide by the coefficient of x

112 mL of grape juice should be added to make a mix that is 20% grape juice.

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Tatiana [17]

Answer:

The 2017  year is out of proportion.

Step-by-step explanation:

That graph should be at about half to 3/4 the height of the average heights of the other bars.

5 0
3 years ago
Phil ate 2/5 of a pizza. caroline ate 1/4 of a pizza. how much did they eat in all? a) 1/3 pizza b)2/9 pizza c) 13\20 pizza d) 1
Karolina [17]

c. 13/20 pizza because in all is key for addition, so 2/5 + 1/4 = 13/20 pizza

6 0
3 years ago
Read 2 more answers
To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 an
kolbaska11 [484]

Answer:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

For u = 200 and o = 20

For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

P (X > a) = 0.1 (a)

P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

3 0
3 years ago
9. How is cellular respiration different from breathing?
r-ruslan [8.4K]

What is Cellular Respiration?

Cellular respiration takes place within the cells of organisms. Hence, it is often referred to as internal respiration. Cellular respiration involved biochemical processes. In this process, food molecules are decomposed by using oxygen to form energy (ATP) which is essential for all cellular activities. While deriving energy, water and carbon dioxides are produced as by-products and carbon dioxide is expelled from the body as a waste through breathing. Because of the release of energy, cellular respiration is known as a metabolic process. Cellular respiration can be measured by taking the ratio of CO2 produced to O2 consumed. This ratio is called the respiratory quotient (RQ) and it varies based on the foodstuff consumed.

What is Breathing?

Breathing is the process of exchanging O2 and CO2 between the external environment and the tissue cells. Breathing is a physical process and does not release energy, unlike the cellular respiration. The intake of air is called inhalation and expel of air is called exhalation. During the inhalation, O2 is diffused into the blood and during the exhalation, CO2, that is formed by the cellular respiration is expelled as a waste. Both cellular respiration and breathing are interrelated processes and depend on each other.

What are the differences between Cellular Respiration and Breathing?

• Breathing is also known as external respiration as it occurs outside the cells. Cellular respiration is called internal respiration because it occurs inside the cells.

• Breathing is a physical process, whereas cellular respiration is a biochemical process.

• During the breathing, exchange of gasses (oxygen and carbon dioxide) take place. Glucose is decomposed to carbon dioxide and water during cellular respiration.

• Energy is released in cellular respiration, unlike in breathing.

• Cellular respiration requires enzymes, but breathing does not.

(~ ̄▽ ̄)~Hope this helps!

8 0
3 years ago
Kirsten has a bag of 20 blocks. The probability of selecting a green block from the bag is 3 over 5. How many of the blocks in K
melomori [17]

hi

3/5 *20= 60/5 = 12  

12 block are green

3 0
3 years ago
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