Let x = amount of 70% juice we use.
Then 60-x = amount of 85% juice we'll use.
We'll set up an equation that is based on how much pure juice comes from each component and how much we need in the final mixture.
So 70% of x plus 85% of (60-x) must equal 80% of 60, or...
0.7x + 0.85(60-x) = 0.8(60)
0.7x + 51 - 0.85x = 48
-0.15x + 51 = 48
-0.15x = -3
x = 20
Then 60 - x = 60 - 20 = 40
Check: 70% of 20 pints = 14 pints of pure juice.
85% of 40 pints = 34 pints of pure juice
That's 48 pints of pure juice in the mix, which matche 80% 0f 60 pints.
You'd need 20 pints of the 70% juice and 40 pints of the 85% juice.
A is not congruent
B is not congruent
C is congruent
D is not congruent
E is congruent
Is congruent
Answer:
Given that,
In right triangle ABC, C is the right angle.
sin A=0.4
To find cos B,
we get the triangle as,
we know that,
Hypotenuse of the triangle is AB
For the angle A, opposite side is CB
For the angle B, adjacent side is CB
From the definition of sine and cosine we get,
Also,
Comparing both we get,
It is given that sinA=0.4
Hence we get, cosB=0.4
Answer is: 0.4
Answer:
Odd numbers.
Step-by-step explanation:
Closed under addition means you will able to take any two numbers from whatever set is mentioned and add them to get a number in that same set.
(If I say counting numbers, I'm still talking about the natural numbers.)
So let's look at the natural numbers {1,2,3,4,5,6,...}.
1+1=2
1+2=3
1+3=4
...
6+19=25
Let a and b be counting numbers.
a+b is still going to be a counting number.
You will always get a counting number when adding two counting numbers. So the counting numbers (also known as the natural numbers) is closed under addition.
Let's skip down to odd numbers because the other sets are similar to the first.
Let's add a pair of odd numbers.
3+5=8
8 is not odd so the odd numbers are not closed under addition because we will not always get an odd number. In fact, you will never get a odd number, but the thing is you just need one example to show it is not closed.
(2k+1)+(2a+1)
2(k+a)+2
2(k+a+1) is even so adding two odds will always give you an even.
Answer:
<u>After factorizing the equation on the numerator, we simplify and the answer is: x + 2</u>
Step-by-step explanation:
1. Let's simplify the following expression:
x squared plus 3 x plus 2 over x plus 1
(x ² + 3x + 2) / (x + 1)
Now, we are going to factorize the numerator, this way:
(x + 2) (x + 1) / ( (x + 1)
x * x = x ²; 2x + x = 3x ; 2 * 1 = 2 ⇒ x² + 3x + 2
We simplify (x + 1) both in the numerator and in the denominator and we have:
<u>x + 2</u>
