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iren2701 [21]
3 years ago
10

2 numbers are in the ratio 1:2 if the first number is decreased by 5 and second number is increased by 4 their ratio becomes 5:4

find the two numbers
WILL MARK BRAINLEST ONLY ASSWER IF YOU KNOW​
Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

-20/3 & -40/3

Step-by-step explanation:

Let’s say that the 1st number is X and the 2nd number is Y.

Given that x:y = 1:2 => x/y = 1/2 => 2x = y

and a-5/y+4 = 5/4 (The first number is decreased by 5 and the second number is increased by 4.)

=> 4(x - 5) = 5 (y + 4)

=> 4x - 20 = 5y + 20

=> 4x - 5y = 40

As, 2x = y , 4x = 2y

=> 2y - 5y = 40

=> -3y = 40

=> y = -40/3 ; x = y/2 = -20/3

This might be confusing but I hope this helps :)

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Kelly invested her savings of $4800. she invested part in mutual funds, at 9% per year, and the rest in GIC's, at 10% per year.
Aneli [31]

Answer:

For the 9% she invested $2,300

For the 10% she invested $2,500

Step-by-step explanation:

Let the amount invested be $x and $y in both cases respectively

Since the total invested is $4,800

This means that;

x + y = 4800 ••••••••••••(i)

Now let’s have a look at the interests.

For the 9%

Interest would be 9/100 * amount invested

= 9/100 * x = 9x/100

For the 10%, interest would be

10/100 * y = 10y/100

Adding both will give a total of 457

9x/100 + 10y/100 = 457

multiply through by 100

9x + 10y = 45700 •••••••• (ii)

From equation i, we can write x = 4800 - y

we can substitute this into the second equation

9(4800-y) + 10y = 45700

43200 -9y + 10y = 45,700

43200 + y = 45,700

y = 45,700-43,200 = $2,500

Recall

x = 4800 -y

so x = 4800 -2500 = 2300

5 0
3 years ago
Solve.<br> 4(x+2)^2=16<br><br><br> HELP PLSSSS
serious [3.7K]

Answer:

x=0; x=-2

Step-by-step explanation:

so first you do (x+2)^2 which is x^2+2x+4

4x^2 +8x +16 = 16

Subtract 16 from both sides

4x^2 +8x = 0

factor out 4x:

4x(x+2) = 0

4 0
2 years ago
A particular style of sunglasses costs the retailer $70 $⁢70 per pair. At what price should the retailer mark them so he can sel
Alexxx [7]

After the 10% discount on marked price (P), the selling price is ...

... P×(100% -10%) = 0.90P

After a markup off 35% on cost, the value is

... $70×(100% +35%) = 1.35×$70 = $94.50

The retailer wants these two values to be equal:

... 0.90P = $94.50

... P = $94.50/0.90 = $105.00 . . . . . divide by the coefficient of P

The marked price should be $105.00.

6 0
3 years ago
Which ratio correctly compares 60 mm to 45 cm?
docker41 [41]
First we need to convert cm to mm
45 cm = 450 mm

Now our ratio looks like this
60/450
We can divide both by 30 and once we do that our ratio will look like this:
2/15

That means the answer is B
6 0
4 years ago
WILL MARK BRAINLIEST PLEASE HELP
vlada-n [284]

Answer:  

2x + (-2x + 3) = 3

2x - 2x +3

0 + 3

3

2x-7 + (-2x) = -7

2x -2x - 7

0 -7

-7

-(5x -1) + 5x = 1

-5x +1 + 5x

-5x + 5x + 1

0 + 1

1

Step-by-step explanation: In addition, the parentheses help identify the individual addends. If adding a negative number, it is the same as subtracting. If there is a negative sign outside the parentheses, as in example c, you must distribute it: the signs of the numbers within the parentheses must be reversed when the parentheses are removed.

6 0
3 years ago
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