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3 years ago

4x-1=3(x-1) Please help!

Mathematics

2 answers:

Vsevolod [243]3 years ago

7 0

X = -2

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Sveta_85 [38]3 years ago

5 0

Answer:

x=-2

Step-by-step explanation:

4x-1=3x-3

x=-2

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What value of x is in the solution set of 2(3x - 1) >equal to 4x - 6

klasskru [66]

Answer:

x»-2

Step-by-step explanation:

$6x - 2 \geqslant 4x - 6 \\ 2x \geqslant - 4 \\ x \geqslant - 2$

5 0

3 years ago

to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

3 years ago

Finding terms of an arithmetic sequence with a recursive formula a1 =12 an= an-1+7

Basile [38]

Hey there!!

Recursive formula :

... a( n ) = a ( n - 1 ) + 7

The first term is 12

To find the second term, we will need to substitute 2 in place of ' n '

2 term :

... a( 2 ) = a ( 2 - 1 ) + 7

... a( 2 ) = a( 1 ) + 7

We know a( 1 ) = 12

... a( 2 ) = 12 + 7

... 19 is the second term and we will need to use this to find the other terms.

Hope my answer helps!

5 0

3 years ago

The height of the tunnel at the center is 54 ft, and the vertical clearance must be 18 ft at a point 8 ft from the center. Find

IrinaVladis [17]

the standard form for a horizontal ellipse is

X^2/a^2 + y^2/b^2 = 1

Substitute 54 for b and and use (8,18) as the

point to find a

x=8

y=18

8^2/a^2 + 18^2/54^2 =1

64/a^2 + 324/2916 = 1

324/2916 reduces to 1/9

64/a^2 + 1/9 = 1

64/a^2= 1-1/9

64/a^2 = 8/9

64*9/8 = a^2

576/8 = 72

A^2 = 72

A = square root(72) = 8.485

So formula

would be x^2/72 + y^2/2916 =1

8 0

3 years ago

The square of 7/8 is

Charra [1.4K]

Answer:

7/8 squared = 49/56

Square root = 0.330718914.....

Hope that helps!

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers