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3 years ago

The prices of two ratios are in the ratio x:y

Mathematics

2 answers:

Archy [21]3 years ago

8 0

Answer:

4:1

Step-by-step explanation:

x+20 : y+20 = 5 : 2

(x+20)/(y+20) = 5/2

2(x+20) = 5(y+20)

2x+40 = 5y+100

2x = 5y+60 (1)

x-5 : y-5 = 5:1

(x-5)/(y-5) = 5/1

x-5 = 5(y-5)

x-5 = 5y-25

x = 5y-20 (2)

Solve (1) & (2) simultaneously,

2(5y-20) = 5y+60

10y-40 = 5y+60

5y = 100

y = 20

x = 5y-20

x = 5(20)-20 = 100-20

x = 80

x:y

80:20

4:1

Nitella [24]3 years ago

5 0

Answer: x:y = 2:5

Step-by-step explanation:
Given : The prices of two radios are in the ratio x:y
When the prices are both increased by £20, the ratio becomes 5:2
Then,
When the prices are both reduced by £5, the ratio becomes 5:1
Then,
Subtract (2) from (1), we get

Put this value in (2), we get

Now, the ratio of x:y=
Dividing 4 from both the numerator and denominator, we get
x:y= =2:5

Credit: JeanaShupp

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Triangle ABC is shown below.

Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

$AB=AC\\\\2x=3x-7$

Simplify the equation, solving for x. Add 7 to both sides:

$2x+7=3x-7+7\\\\2x+7=3x$

Subtract 2x from both sides:

$2x-2x+7=3x-2x\\\\7=x$

The value of x is 7. Insert the value of x into the given length of AC:

$AC=3(7)-7$

Simplify multiplication:

$AC=21-7$

Subtract:

$AC=14$

Therefore, the length of the line segment AC is 14.

:Done

8 0

3 years ago

Solve x^2+2x+7=0 using the quadratic formula.

Aneli [31]

Answer:

$x=-1\pm \sqrt{6}i$

Step-by-step explanation:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(2)\pm\sqrt{2^2-4(1)(7)}}{2(1)}$

$x=\frac{-2\pm\sqrt{4-28}}{2}$

$x=\frac{-2\pm\sqrt{-24}}{2}$

$x=\frac{-2\pm\sqrt{-1*24}}{2}$

$x=\frac{-2\pm\sqrt{-1}\sqrt{24}}{2}$

$x=\frac{-2\pm i\sqrt{4*6}}{2}$

$x=\frac{-2\pm i\sqrt{4}\sqrt{6}}{2}$

$x=\frac{-2\pm2i\sqrt{6}}{2}$

$x=-1\pm \sqrt{6}i$

5 0

2 years ago

Debby, Ella and Unique invest $10,000 each into an oil company. Debby owns 2000 $1 common stocks, Ella owns 1000 of 5% $50 prefe

Mashutka [201]

Answer:

Ella has the greatest return in the current year.

Step-by-step explanation:

Debby would receive $0.80 for each of her 2000 common stock in the oil company,hence Debby's return on investment in the current year is $1600($0.80*2000)

Besides,Ella's return on the stock investment in the current year is computed thus:

Ella's return= 5%*1000*$50=$2,500

In addition,Unique's dollar return on the investment is computed as follows:

Unique's return on investment=4%*2000*$20=$1,600

From the above computations,Ella seems to have the highest return in the current year of $2,500 whereas the two others managed to have $1600 return each

5 0

3 years ago

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

Vitek1552 [10]

Answer:

$\frac{9}{4}$

Step-by-step explanation:

Given

x² - 3x

To make the expression a perfect square

add ( half the coefficient of the x- term )²

x² + 2( - $\frac{3}{2}$ )x + $\frac{9}{4}$ , thus

x² - 3x + $\frac{9}{4}$

= (x - $\frac{3}{2}$ )² ← a perfect square

7 0

3 years ago

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ivolga24 [154]

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3 years ago