Solve (x+1<4) and (x-8>-7)

A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3

ludmilkaskok [199]

Answer:

33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y = 0.35(50)

Solve the first equation for one variable...

x = 50 - y (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)

Now solve for y...

20 - 0.4y + 0.25y = 17.5

-0.15y = -2.5

y = 16.66666667

y = 16 2/3 L

So we need to plug that into the first equation to find 'x'

x + 16 2/3 = 50

x = 50 - 16 2/3

x = 33 1/3

3 0

2 years ago

Read 2 more answers

PLEASE ANSWER BOTH CORRECTLY. NO LINKS PLEASE!!!!!!!!!!

expeople1 [14]

Answer:

1- 4.76

Step-by-step explanation:

5 0

2 years ago

(50 points) What is the value of sin J for this triangle?

weqwewe [10]

Answer:

8/17

Step-by-step explanation:

right angle box means that area is the bottom

soh cah toa

hypotenuse is 17

hypotenuse is usually the biggest number

opposite is 8

sin is opposite/ hypotenuse

sin is 8/17

6 0

2 years ago

If you place a 89-foot ladder against the top of a 80-foot building, how many feet will

Nuetrik [128]

Answer:

$\large \boxed{\text{39 ft}}$

Step-by-step explanation:

Let x be the distance from the foot of the ladder to the base of the building.

We have a right triangle, so we can use Pythagoras' Theorem.

$\begin{array}{rcl}80^{2} + x^{2}& = & 89^{2} \\6400+ x^{2} & = & 7921\\x^{2} & = & 1521\\x & = & \sqrt{1521}\\& = &\mathbf{39}\\\end{array}\\\text{The foot of the ladder will be $\large \boxed{\textbf{39 ft}}$ from the base of the building,}$

8 0

2 years ago

The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye). Using this estimate and Moore's Law,

spayn [35]

Answer:

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

Step-by-step explanation:

Moore's law:

Moore's law states that the number of transistors per IC doubles every year.

Format of the function:

Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:

$N(t) = N(0)*2^t$

In which N(0) is the initial estimate.

The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).

This means that $N(0) = 4000$

So

$N(t) = 4000*2^t$

What would you predict the number of transistors per IC to be 20 years later, in 1992?

This is N(20). So

$N(20) = 4000*2^20 = 4194304000$

The prediction for the number of transistor per IC in 1992 is of 4,194,304,000

4 0

2 years ago