Answer:
The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2
Step-by-step explanation:
Let the number of mangoes bought by the grocery store be n. Also let the number of mango sold for $3 in one stack be x and the number of mango sold for $6 in the second stack be y.
Therefore:
x + y = z (1)
Also, the mangoes was sold at break even price, that is the cost of the mango and the price it was sold for was the same. Therefore:
Cost of buying = Price it was sold for
The cost of the mango = 5z and the price it was sold for = 3x + 6y
3x + 6y = 5z (2)
Substituting z = x + y in equation 1
3x + 6y = 5(x + y)
3x + 6y = 5x + 5y
6y - 5y = 5x - 3x
y = 2x
x / y = 1/ 2 = 1 : 2
The ratio of the number of mangoes in the $3 stack to those in the $6 stack is 1 : 2
Hey there!!
Let us take the number as ' x '
20% of x
= (20/100) × ( x )
= ( 1/5 ) × ( x )
= x/5
The number is decreased by 20% of itself
x - x/5 = 56
5x - x / 5 = 56
4x/5 = 56
Multiplying by 5 on both sides
5x = 56 × 5
5x = 280
dividing by 5 on both sides
4x / 4 = 280 / 4
x = 70
The number is 70
Hope my answer helps!
Answer:
(y+7)²/364 - (x+8)²/364 = 1
Step-by-step explanation:
This is the standard form of a vertical hyperbola (y-k)²/a² - (x-h)²/b² = 1
so, (y²+14y+?) - (x²+16x+?) = 251
(y²+14+49)-49 - (x²+16x+64)-64 = 251
(y+7)² - (x+8)² = 251 + 49 + 64
(y+7)² - (x+8)² = 364
(y+7)²/364 - (x+8)²/364 = 1
<span>y=2(1)+5,,, y=2+5 then y=7 (1,7).....y=2(2)+5,,,y=4+5 then y=9 (2,9) .....y=2(3)+5,,, y=6+5 then y=11 (3,11)........ y=2(4)+5,,,,y=8+5 then y=13 (4,13) when solving for the y you just have to substitute the values of the x given one by one ..... for the ordered pairs -.... ex. in first equation the given value of x is 1..... so we know that is the value of x and by substituting you can find the value of y which turned to be 7 ,,, to write it (1,7) 1 is the x and 7 is the y ((x,y)
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