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3 years ago

Which value of x makes the equation -5(x-3)=-25

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

4 0

Answer:

x=8

Step-by-step explanation:

-5(x-3)=-25

Divide each side by -5

-5/-5(x-3)=-25/-5

x-3 = 5

Add 3 to each side

x-3+3 = 5+3

x = 8

Leviafan [203]3 years ago

3 0

Answer:

$x = - 5.6$

Step-by-step explanation:

$- 5(x - 3) = - 25 \\ - 5x + 3 = - 25 \\ - 5x = - 25 - 3 \\ - 5x = - 28 \\ \frac{ - 5x}{ - 5} = \frac{ - 28}{ - 5} \\ x = - 5.6$

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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

BRAINLIEST TO BEST ANSWER!!!!

Thepotemich [5.8K]

The equation would be y = -(3/4)x+1

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3 years ago

If 3x + 4y = 10 and 2x + 3y = 6, then x + y = ?

zavuch27 [327]

Answer:

x + y = 4

Step-by-step explanation:

Given the 2 equations

3x + 4y = 10 → (1)

2x + 3y = 6 → (2)

Subtract (2) from (1) term by term on both sides

x + y = 4

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7

zhenek [66]

Answer:

Step-by-step explanation:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}$

$\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}$

$3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}$

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}$

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}$

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

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3 years ago

How do i covert a fraction into a decimal.

Olenka [21]

Answer:

By dividing the top number by the bottom.

Step-by-step explanation:

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3 years ago

Which value of x makes the equation -5(x-3)=-25​

Which value of x makes the equation -5(x-3)=-25