The expression described is translated into the following formula:
Note that this implies that 
Cross-multiply denominators to get rid of the fractions:
Expand both sides:
Subtract 4x from both sides:
Divide both sides by 2:
Check:
Which is true because
since both sides evaluate to 72
Answer:
Step-by-step explanation:
-4 is negative 4 witch is less then 4. -4 +4 =0
Answer:
You have to eliminate one of the variables when the equations are added.
A) x + 2y + z = 10
B) 2x -y +3z = -5
C) 2x -3y -5z = 27
We mulutiply A) by 2 then add it to B and C
A) 2x + 4y + 2z = 20 and the sum =
6x = 42 Luckily, the "y" and "z" variables cancel out and we find:
x = 7
Then we use x =7 in calcucating equation A) and B)
A) 2y + z = 3
B) -y + 3z = -19
THEN solve for y and z by eliminating variables.
Step-by-step explanation:
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
Answer:
1:2.5
Step-by-step explanation:
unit rate means first number is 1
52 cups to five cups is a ratio of 2:5 or 2/5
to find unit rate set up proportion
2/5 = 1/x
cross multiply to get 5= 2x
solve for x= 2.5
unit rate is 1/2.5
