5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 5L that is 12% orange juice? How many liters of the 15% orange juice should be in the mixture?

Answers

Answer 1

Answer: x: liters of 15% orange juice
y: liters of 10% orange juice

x+y=5L

y=5L - x

x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:

0.15x+0.10y = 0.12(5L)

0.15x+0.10(5L-x)=0.12(5L)

0.15x+0.5-0.10x=0.6

0.05x=0.1L

x=2L

so y = 3L

so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice

Answer:

The expression that is not equivalent to $\cos ((\pi)/(5))$ is:

3. $\cos((4\pi)/(5))$

Step-by-step explanation:

We are asked to find which of the expression is not equivalent to:

$\cos ((\pi)/(5))$

$\cos((-\pi)/(5))$

We know that:

$\cos(-\theta)=\cos(\theta)$

Hence, we get:

$\cos((-\pi)/(5))=\cos((\pi)/(5))$

Hence, option: 1 is incorrect.

$\cos((9\pi)/(5))$

We know that:

$\cos((9\pi)/(5))=\cos( 2\pi-(\pi)/(5))$

As we know that:

$\cos(2\pi-\theta)=\cos(\theta)$

Hence, we have:

$\cos((9\pi)/(5))=\cos((\pi)/(5))$

Hence, option: 2 is incorrect.

$\cos((11\pi)/(5))$

We know that:

$\cos((11\pi)/(5))=\cos( 2\pi+(\pi)/(5))$

As we know that:

$\cos(2\pi+\theta)=\cos(\theta)$

Hence, we have:

$\cos((11\pi)/(5))=\cos((\pi)/(5))$

Hence, option: 4 is incorrect.

$\cos((4\pi)/(5))$

We know that:

$\cos((4\pi)/(5))=\cos(\pi-(\pi)/(5))$

As we know that:

$\cos(\pi-\theta)=-\cos(\theta)$

Hence, we have:

$\cos((4\pi)/(5))=-\cos((\pi)/(5))\neq \cos ((\pi)/(5))$

Hence, option: 3 is the answer.

What is cos if u tell me i can answer

Subtract and simplify: (3x^2 + 7) – (x^2 – 6x – 4)Question 3 options:

2x^2 + 6x + 3

4x^2 – 6x + 3

2x^2 + 6x + 11

4x^2 + 3

Answers

Distribute the Negative Sign:=3x2+7+−1(x2−6x−4)=3x2+7+−1x2+−1(−6x)+(−1)(−4)=3x2+7+−x2+6x+4Combine Like Terms:=3x2+7+−x2+6x+4=(3x2+−x2)+(6x)+(7+4)
Answer is =2x2+6x+11

If 500 students attend Washington Middle School, how many are going to the mountians for vacation?A. 25
B. 60
C. 75
D. 100
E. 125

Answers

12% of 500 people

12/100 x 500=60

The sum of two consecutive integers is at least 36. What is the least possible pair of integers? A. 16 and 17 B. 17 and 18 C. 18 and 19 D. 19 and 20

Answers

If you would like to know the least possible pair of integers, you can find this using the following steps:

integer ... n
the sum of two consecutive integers ... n + (n+1) = n + n + 1 = 2 * n + 1
is at least 36 ... >= 36

n + (n+1) >= 36
2 * n + 1 >= 36
2 * n >= 36 - 1
2 * n >= 35 /2
n >= 35/2
n >= 17.5

n = 18: 18 + (18+1) = 18 + 19 = 37 >= 36

The correct result would be C. 18 and 19.

4/15 as a decimal and percent?