Answer:
3/10 liter
Step-by-step explanation:
Assuming your description means that 4/3 liters of punch includes 2/5 liters of water, then the fraction of punch that is water is ...
(2/5)/(4/3) = (2/5)(3/4) = 3/10
3/10 of a liter of water is used in each liter of punch.
Answer:
Third option: 
Step-by-step explanation:
<h3>
The correct exercise is attached.</h3>
The equation given is:
The steps to find the value of "x" are shown below:
1. Add 2 to both sides of the equation:
2. Descompose 9 and 27 into their prime factors:
3. Substitute them into the equation:
4. Knowing that If 
, then 
, we get:
5. Apply Distributive property:
6. Add 2 to both sides:
7. Divide both sides of the equation by 2:
Answer: 64 %
Step-by-step explanation:
Assume attendance last year to be equal to "x"
- An increase in percentage sees us add the percentage amount to 100.
- A decrease in percentage sees us subtract the percentage amount from 100.
Projected attendance = ((100+25)/100) * x = 1.25x
Actual attendance = ((100-20)/100) * x = 0.80x
Hence ratio of a actual to projected attendance = 0.80x/1.25x = 0.64
Convert into percentage = 0.64 * 100 = 64 %
In order to get the total price, we can multiply the 4 dollars by .05 to find 5 percent of the object's cost and add it to the sales tax. So, .05 times 4 is 0.2, meaning there is a sales tax of 0.2 dollars. We add that to the four, so the total price is 4.20 dollars. Hope this helps.
Let number of yellow marbles = x
Let number of red marbles = y
Let number of blue marbles = z
Given that Finley has 152 yellow, red, and blue marbles in a bag.
So we get equation:
x+y+z=152...(i)
"He has seven more red marbles than yellow marbles" means:
y=x+7...(ii)
"three times as many blue marbles as yellow marbles." means:
z=3x...(iii)
Now we just need to solve those equations to find the answer.
Plug (ii) and (iii) into (i)
x+(x+7)+(3x)=152
x+x+7+3x=152
Which looks similar to choice (B)
5x+7=152
5x=145
x=29
Hence final answer is choice B.
Required equation is
x+x+7+3x=152
Number of yellow marbles = 29
