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3 years ago

if you decrease by a given percent and then increase by the same percent, will you be back where you started? how do you know

1 answer:

5 0

Lets pick a random number, like 50. Lets decrease and increase it by 50%. After the decrease, you will get 25, but when you increase it by 50%, it's only 37.5. No, because when you decrease it, you have a smaller base, so it increases less than it decreases. 50% of 100 is 50, but 50% of 50 is 25. You can see there is a significant difference.

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A 20-gallon salt-water solution contains 15% pure salt. How much pure water should be added to it to produce a 10% solution?

Elanso [62]

15% of 20 gal = 0.15 * 20 gal = 3 gal, so the solution contains 3 gal of salt.

If we add x gal of water to the solution, we end up with (20 + x) gal of solution. We want the new mixture to have a concentration of 10%, or

10% of (20 + x) gal = 0.1 * (20 + x) gal = 2 + 0.1x gal

of salt.

The amount of salt in the tank hasn't changed. Solve for x :

2 + 0.1x = 3

0.1x = 1

x = 10 gal

3 0

3 years ago

Helppp 1st problem: 4x + 6 < 30 2 problem: 3x -5 > 16

Romashka [77]

Step-by-step explanation:

please check your question once and chose correct answer which one is helpful to you

4 0

3 years ago

Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

Step-by-step explanation:

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ the bottom of the integral is -2

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

3 0

3 years ago

What property is [9 + (-9)] + (10x - 6x) + 3?

Roman55 [17]

So you're looking for the answer? If so, it is -3/4

5 0

2 years ago

At the market, 5 light bulbs cost $9. How much do 7 light bulbs cost?

Rudiy27

Hello!

To solve this, find the cost of a single light bulb first, by dividing 9 / 5.

9 / 5 ==> 1.80

One light bulb is $1.80

Now, multiply 1.80 by 7.

1.80 * 7 = 12.6

7 light bulbs cost $12.6

Hope this helps! ☺♥

6 0

3 years ago

Read 2 more answers