Mathematics, 16.07.2019 07:40 ashanti93

The prices of two radios are in the ratio x: y when the prices are both increased by £20, the ratio becomes 5: 2 when the prices are both reduced by £5, the ratio becomes 5: 1 express the ratio x: y in it's lowest terms.

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When the prices of two radios are increased by 20 we got the equation as 2x-5y=60. When the prices are reduced by 5 we got another equation as x-5y=60. By equating these two we will get zero for x and -twelve for y. the lowest terms of ratio is 0:-12.

Answer from: nothingworksoutforme

The concept of linear equation and ratios is used to solve for the price of radios. The price of two radios are $x=\pounds 80$ and $y=\pounds 20$ .

Given information:

The ratio of prices of two radios is x:y .

If the price of both the radios is increased by $\pounds20$ , the ratio of price would become 5:2.

The above condition can be written mathematically as,

$\dfrac{x+20}{y+20}=\dfrac{5}{2}\\2x+40=5y+100\\2x-5y=60.........(1)$

If the prices are both reduced by $\pounds 5$ , the ratio will become 5:1.

The above condition can be written mathematically as,

$\dfrac{x-5}{y-5}=\dfrac{5}{1}\\x-5=5y-25\\x-5y=-20\\-x+5y=20.........(2)$

Add equation (1) and (2), to get the value of and as,

$2x-x=60+20\\x=80$

Solve for as,

$2x-5y=60\\2\times 80-5y=60\\5y=100\\y=20$

Therefore, the price of two radios is $x=\pouns 80$ and $y=\pounds 20$ .

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Answer from: Quest

i'm sorry i don't know

step-by-step explanation:

Answer from: Quest

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

Bwill make the inequalities y < 2x + 1 and y> -x- 2 true. o a. region b o b. region c o c. r

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