Answer: 0.78 and 39/50
<h3>
Explanation:</h3>
What we know:
- We need to find 78% as a fraction and decimal
How to solve:
The decimal is easy enough, and then the fraction can be found from there. D will represent decimal, p will represent percentage, and F will represent fraction.
<h3>
Process:</h3>
Decimal
Set up equation D = p / 100
Substitute D = 78% / 100
Simplify D = 0.78%
Remove % sign D = 0.78
Fraction
Set up equation F = p / 100
Substitute F = 78% / 100
Remove % sign F = 78 / 100
Simplify if needed F = /2 /2
F = 39 / 50
Solution: 0.78 and 39/50
Check:
Multiply the decimal by 100 to check the decimal
0.78 x 100 = 78; 78%
Divide the fraction to check the fraction
39/50 = 0.78; see above
This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210
So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7
I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.
It looks about right to me.
The foctor of 40 I this = 1,2,4,5,8,40
Answer:
9 bottles of soda and 7 bottles of juice
Step-by-step explanation:
Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.
1. Gabriel purchased 2 more bottles of soda than bottles of juice, then
2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.
Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.
In total, there are 35x+10y g of sugar.
All bottles collectively contain 385 grams of sugar, thus
3. Solve the system of two equations:
Substitute the first equation into the second equation:
