Answer:
40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.
Step-by-step explanation:
13%(x) + 18%(50-x) = 14%*50g Multiply them all
0.13x + (9-0.18x) = 7
0.13x-0.18x + 9 = 7 Simplify the equation and subtract 0.13x from 0.18x
9-0.05x = 7 Add 0.05x to each side
9 = 7+0.05x Subtract 7 from both sides
0.05x = 2 Multiply each side by 100
5x = 200 Divide both sides by 5
x = 40
50 - 40 = 10
40 grams and 10 grams
Your welcome
So first you need to turn the percent into a decimal. So 23% would be 0.23 because you divide 23 by 100 to turn it into a decimal. Now you multiply 0.32 and 256. So:
So your answer would be 23% of 256 is 58.88. I hope this helps! =)
Answer:An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. ... ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ.
Step-by-step explanation:
An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. ... ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ.
To make it easier, you calculate the volume of the first aquarium.
1st aquarium:
V = L x W x H
V = 8 x 9 x 13
V = 72 x 13
V = 936 in.
Rate: 936 in./2 min.
Now that you've got the volume and rate of the first aquarium, you can find how many inches of the aquarium is filled within a minute, which is also known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2. 936 divided by 2 is 468 and 2 divided by 2 is 1.
So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.
2nd aquarium:
V = L x W x H
V = 21 x 29 x 30
V = 609 x 30
V 18,270 inches
Calculations:
Now, you divide 18,270 by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468 is about 39 (the answer wasn't exact, so I said "about").
2nd aquarium's rate:
18,270 in./39 min.
As a result, it'll take about 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :) If I didn't, I'm sorry. I tried. :(
We will use the property :
sum of interior angles on same side of transversal =180
(8x-14) + (2x+54)=180
10x+40=180
10x=140
x=14
