Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
8 * 3/4
Multiply 8 by 4 to get 32 then divide 32 by 3 to get 3.6 repeating
3/3 is basically 1 so its still 3.6
3.6 is 3 3/5
-XCalypso
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Answer: x = 10 y=20
Step-by-step explanation:
You can answer this question by plugging in each equation:
2x=y, x+y=30. Let us plug y as 2x in the second equation x+y=30
x+2x= 30
3x= 30
x=10
After we found x we can then find y by plugging the 10 for x.
2(10) = y
y =20
or you could plug in the other equation
10+y=30
subtract 10 from 30 and we get 20
to double check we can plug in both numbers
2(10) = 20 which is correct
and 10 + 20 = 30 which is correct
Responder:
Número de bueyes = 12
Número de vacas = 24
Explicación paso a paso:
Dado que :
Número de vacas compradas = 2 veces el número de bueyes;
Sea número de bueyes = y
Número de vacas = 2 años
Costo de la vaca = 70
Costo de bueyes = 85
Costo total = 2700
Por lo tanto;
(2 años * 70) + (y * 85) = 2700
140 años + 85 años = 2700
225 años = 2700
225 años / 225 = 2700/225
y = 12
Número de bueyes = y = 12
Número de vacas = 2y = 2 * 12 = 24
