Given:
Total amount of Mingfa and her sister = $130
If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.
To find:
How much money does Mingfa actually have?
Solution:
Let, Mingfa have $x and her sister has $y initially. Then,
...(i)
If Mingfa amount increased by $10, then the new amount is equal to three times of as much money as her sister.
...(ii)
Substitute the value of x from (ii) in (i).
Divide both sides by 4.
Putting in (i), we get
Therefore, Mingfa have $95.
Answer:
24 cats: 28 dogs
Step-by-step explanation:
28/21 = 1.33
18 x 1.33 = 24
Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
Answer: 3253
Step-by-step explanation:
Given : A test requires that you answer either part A or part B.
Part A consists of 7 true-false questions.
i.e. there are 2 choices to answer each question.
Now, the number of ways to answer Part A : 
(1)
Part B consists of 5 multiple-choice questions with one correct answer out of five.
i.e. there are 5 choices to answer each question.
Now, the number of ways to answer Part B : 
(2)
Now, the number of different ways to completed answer sheets are possible= 
[Add (1) and (2) ]
