A solution of 5% acid is mixed with a solution of 6.5% acid to make 200 mL of 6% acid. How many mLs of each of the original solutions are used? 133.33 mL of 6.5% and 66.67 of 5%
Answers
Answer:
66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed.
Step-by-step explanation:
Let 200 ml of 6% solution is formed by mixing x ml of 5% solution and y ml of 6.5% solution.
We can write the equation x + y = 200 ........ (1)
Now, x ml of 5% solution will contain ml of acid
Again, y ml of 6.5% solution will contain ml of acid.
So, mixing them together will give (0.05x + 0.065y) ml of acid in 200 ml of solution.
So, from the condition given we can write
⇒ 0.05x + 0.065y = 12
⇒ x + 1.3 y = 240 ........... (2) {Dividing both sides by 0.05}
Now, solving equations (1) and (2), we get
0.3y = (240 - 200) = 40
⇒ y = 133.33 ml
From equation (1) we get, x = 200 - 133.33 = 66.67 ml
Therefore, 66.67 ml of 5% solution and 133.33 ml of 6.5% solution are mixed. (Answer)
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Tyler makes $10 per hour at his job.The function f(x)=10x gives the amount of money Tyler makes after x hours.Graph this function and give its domain and range.
Answers
Answer:
x^3 + 8x^2 + 11x - 30
Step-by-step explanation:
f(x) times g(x) = (x^2 +3x-4)(x+5)
= x^3 + 5x^2 + 3x^2 + 15x - 4x - 20
= x^3 + 8x^2 + 11x - 30
Answers
Answer:
Step-by-step explanation:
The expression
can be rewritten as a complex number in standard form as 4 + i.
How did we get the value?
To rewrite the expression
as a complex number in standard form a + bi, we need to simplify the expression inside the square root and then perform the necessary calculations.
The expression inside the square root is 16 - (4)(5) = 16 - 20 = -4. Since we have a negative value inside the square root, we can rewrite it as 2i√{1} to simplify it.
Now, let's rewrite the expression:
Since √{1} = 1, the expression becomes:
4 + i√{1} = 4 + i
Therefore, the expression
can be rewritten as a complex number in standard form as 4 + i.
learn more about complex number in standardform: brainly.com/question/12241782
#SPJ6
Answers
PLZ HELP WITH 5, 6, 7
SHOW WORK
Answers
5)m<4=13°[being vertically opposite angle)
6)m<2+<3=180°(Being straight angle)
or,m<2=180°-110°
m<2=70°
7)m<1+m<4=180°[being straight angle]
or,m<1=180°-65°
m<1= 115°
Answers
Weight of the bag when it is 2/3 full
Then
1 full bag = ¾ pounds
2/3 full bag = [(3/4)*(2/3)
= ½ pounds
So the weight of the peanuts when the bag is two thirds full is ½ pounds.
B. 91%
C. 28%
D. 39%
Answers
I hope I helped u :)!!