Answer:
11) A
12) B
Step-by-step explanation:
11) 10x² + 1 = 0
Subtract 1 from both sides:
10x² = -1
Divide both sides by 10:
x² = -1/10
Take the square root of both sides:
x = ±√(-1) / √(10)
Remember that the square root of -1 is i:
x = ±i / √(10)
To rationalize the denominator, multiply top and bottom by √10.
x = ±i√(10) / 10
Answer is A.
12) 2v² + 8v + 6 = 0
Divide both sides by 2:
v² + 4v + 3 = 0
Use AC method or quadratic formula to factor:
(v + 1) (v + 3) = 0
Set each expression to 0:
v + 1 = 0 or v + 3 = 0
Solve:
v = -1 or v = -3
Answer is B.
Answer:
Step-by-step explanation:
1) First, we figure out the number of blue and green marbles (27 each)
2) Subtract the 6 blue and 3 green marbles. We now have 21 blue marbles and 24 green marbles.
3) Since we want to have more blue marbles while taking out the <em>minimum</em> number of green, we're going to take out green marbles out until there's one less than blue. Because there's 21 blue, we want 20 green. We've taken out 4/13 marbles so far.
4) Now, we're going to take 1 marble out of both the greens and blues until we have 17 blue and 16 green. We've now taken out 12/13 marbles. We can't make the 13th marble a blue one, otherwise we even them out, so we'll take another green. Now we have 17 blue and 15 green.
5) Count the number of greens you've taken out, and voila!
The Ratio of the boy's allowance to his sister's is 5 : 4.
The new Ratio is 1 : 10000.
<h3>What is definition of ratio?</h3>
- The quotient of two mathematical expressions, 1a. b: the proportion between two or more items in terms of quantity, amount, or size.
- What does the arithmetic term "ratio" mean?
- An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
- For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.
To learn more about :Ratio
Ref : brainly.com/question/2328454
#SPJ13
;
Answer:
40 pounds
Step-by-step explanation:
Given: Cost of a candy 
= 
per pound
Cost of candy 
Total amount of mixture of be produced = 
Selling price of mixture = 
Let´s x be the amount of 
to be mixed in the mixture.
∴ Cost of 
in the mixture = 12x
Next, Cost of 
in the mixture = 
And we know the cost of final mixture = 
Now, putting all the value in the equation
⇒ 
⇒ 
⇒ 
∴ 
∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.
Answer:
so 39× . 27 =10.53
that would be an accurate estimate
