Answer:
The answers to each part are:
Part A.
- <u>The quantity of apples is one-third of the quantity of grapes</u>.
Part B.
- <u>The quantity of apples is a quarter of the quantity of strawberries</u>.
Part C.
- <u>The number of cherries is two-elevenths of the total fruit</u>.
Step-by-step explanation:
To identify the answer in each case, you must remember that all the parts are equal, then:
Part A.
The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:
So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.
Part B.
The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:
In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.
Part C.
First, you must add all the part of fruit:
- <em>1 part apple</em>
- <em>1 part orange</em>
- <em>4 parts strawberry</em>
- <em>2 parts cherry </em>
- <em>3 parts grape</em>
The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:
- 2 / 11 = 2/11 (two-elevenths)
Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.
Given the equation <span>-4a/a+4=12/a-11, for sure we need to the solution for a.
</span><span>-4a/a+4=12/a-11
</span>-3a + 4 = 12/a - 11
-3a -12/a = -11 - 4
3a + 12 / a = 15
(3a^2 + 12) / a = 15
3a^2 + 12 = 15a
<span>3a^2 - 15a + 12 = 0
</span>
In order to get a , we need to find the roots.
(3a - 3) (a - 4) = 0
3a - 3 = 0 --> a = 1
a - 4 = 0 -- > a = 4
So the possible solutions for a are 1 and 4.
62.5 mg sample will remain after 240 days
Step-by-step explanation:
Given
Half-life = T = 60 days
The formula for calculating the quantity after n half lives is given by:
Here
N is the final amount
N_0 is the initial amount
n is the number of half lives passed
The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life
The quantity has to be calculated for 240 days so,
Given
Putting the values in the formula
Hence,
62.5 mg sample will remain after 240 days
Keywords: Half-life, sample
Learn more about half-life at:
#LearnwithBrainly
Answer:
8/50
5/50
10/50
38/50
45/50
Step-by-step explanation:
Answer:
The height is 30 cubic meters
Step-by-step explanation:
You don't need the formula for this!
So, the volume is 500 cubic meters, and the height is 2 1/2 or 2.5 meters.
Now, you have to make the measurements all the same, 12 meters is in 1 cubic meter. 2.5*12 is 30 cubic meters as the height.
I hope this helps