B) 1/2
C) 4/5
D) 3/2
Answer:
1) 2 lbs
2) 0.17 lbs
3) 9.5 lbs
Step-by-step explanation:
Amount of sugar Ella has = 0.5 lbs
Let the amount of water she adds to make the solution = x lbs
So total amount of the mixture would be = (x + 0.5) lbs
Case 1: 20% syrup
20% syrup means the sugar percentage in the mixture should be 20% of the entire mixture. So, 0.5 should be 20% of (x + 0.5). In equation form this can be written as:
0.5 = 20% of (x + 0.5)
0.5 = 0.2(x + 0.5)
Dividing both sides by 0.2, we get:
2.5 = x + 0.5
x = 2 lbs
This means, 2 lbs of water should be added to make 20% syrup solution. So, total syrup she would have will be 2.5 lbs.
Case 2: 75% syrup
75% syrup means the sugar percentage in the mixture should be 75% of the entire mixture. So, 0.5 should be 75% of (x + 0.5). In equation form this can be written as:
0.5 = 75% of (x + 0.5)
0.5 = 0.75(x + 0.5)
Dividing both sides by 0.75, we get:
0.67 = x + 0.5
x = 0.17 lbs
This means, 0.17 lbs of water should be added to make 75% syrup solution. So, total syrup she would have will be 0.67 lbs.
Case 3: 5% syrup
5% syrup means the sugar percentage in the mixture should be 5% of the entire mixture. So, 0.5 should be 5% of (x + 0.5). In equation form this can be written as:
0.5 = 5% of (x + 0.5)
0.5 = 0.05(x + 0.5)
Dividing both sides by 0.05, we get:
10 = x + 0.5
x = 9.5 lbs
This means, 9.5 lbs of water should be added to make 5% syrup solution. So, total syrup she would have will be 10 lbs.
Answer:
20%) 2 lb --> 2.5
75%) 0.17 lb --> 0.67
5%) 9.5 lb --> 10 lb
Hope this helps :)
To solve this, we need to know what vertical angles and what supplementary angles are. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. And, by the Vertical Angles Theorem, we know that they have the same measure. Now onto supplementary angles. Supplementary angles are angles that add up to 180 degrees.
Let's say that one of the vertical angles is equal to x. That means that the other one is also equal to x, and their sum is 2x. Since we are trying to find out a situation where vertical angles are supplementary, or equal to 180 degrees, that means that 2x is equal to 180 degrees. This is satisfied only when x = 90 degrees, meaning that vertical angles are supplementary when they are right angles.
Answer and explanation:
To find : How do you write 13.8 in standard form, word form and expanded form ?
Solution :
According to place value system,
Tens Ones Tenths
1 3 8
The standard form of the number 13.8 is
The expanded form of the number 13.8 is
The word form of the number 13.8 is
13.8 = Thirteen and eight tenths.
Standard Form : 13.8 times 10^0 or just 13.8 because 10^0 is technically 1
Expanded Form : 10+3+0.8
Word Form : thirteen and eight tenths