Hello!
"Increase" means to add. We must find out what 45% of 140 fluid ounces is, and to do that we must first convert the percentage to a decimal and then multiply it by the amount of fluid ounces.
I know, that's probably a lot to take in! :D
45% ÷ 100 = 0.45 as a decimal
0.45 × 140 = 63
Add this to the amount of fluid ounces:
140 + 63 = 203
Final Answer:
203 fluid ounces.
Answer:
44 questions
Step-by-step explanation:
Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions.
Let x = total number of questions in part 1
4/5x = 16
Divide both sides by 4/5
x = 16 ÷ 4/5
= 16 × 5/4
= 20
x = 20
There are 20 questions in part 1
She got 16 questions correct, which was 2/3 of the number of part 2 questions.
Let y = number of questions in part 2
2/3y = 16
Divide both sides by 2/3
y = 16 ÷ 2/3
= 16 × 3/2
= 24
y = 24
There are 24 questions in part 2
The total number of questions on Stephanie’s exam = part 1 + part 2
= 20 + 24
= 44 questions
I’m a complete parallelogram
Answer:
A i. a:c=3:10
ii. a:b:c=2:5:10
B i. x:z=2:5
ii. x:y:z=2:4:5
Step-by-step explanation:
A.) If a:b = 2:5 and b:c = 3:4, find (i) a:c(ii) a:b:c
a:b=a/b=2/5
b:c=b/c=3/4
a/b*b/c=a/c
2/5*3/4=a/c
6/20=a/c
3/10=a/c
Therefore, a:c=3:10
a:b:c
a:b=2:5
b:c=3:4
b is common to both ratios
The value of b in the first ratio is 5 and b is 3 in the second ratio
Lets take the LCM of both values
LCM of 5 and 3=15
So, we will change the value of b in the first ratio and second ratio to 15
By doing this, we will multiply the whole first ratio by 3
We have, 6:15
We multiply the whole second ratio by 5
We have, 15:20
Therefore a:b:c=6:15:20
=2:5:10
B. If x:y = 1:2 and y:z = 4:5,
x:y=x/y=1:2
y:z=y/z=4:5
x/y*y/z=x/z
1/2*4/5=x/z
4/10=x/z
2/5=x/z
Therefore, x:z=2:5
x:y:z
x:y=1:2
y:z=4:5
y is common to both ratio
Take the LCM of y values in both ratio
LCM of 2 and 4 =4
So,we will change the value of y in the first and second ratio to 4
By doing this, we will multiply the whole first ratio by 2
We have, 2:4
We will also multiply the whole second ratio by 1
We have, 4:5
Therefore, x:y:z=2:4:5
