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.
n, n + 2 - two consecutive even integers
the sum of two consecutive even integers is greater than or equal to 34
n + (n + 2) ≥ 34
n + n + 2 ≥ 34
2n + 2 ≥ 34 <em>subtract 2 from both sides</em>
2n ≥ 32 <em>divide both sides by 2</em>
n ≥ 16
<h3>Answer: The smallest possible integers is equal 16.</h3>
The value of track is given by:
V(x)=32500(0.92)^x
when x=2
V(2)=32500(0.92)^2=$27508
when x=3
V(3)=32500(0.92)^3=$25,307.36
Difference in values will be:
27508-25307.36
=$2,200.64
Answer:
-5 and 20
Step-by-step explanation:
-5 + 20 = 15
-5 * 20 = -100
Answer:
-2
Step-by-step explanation:
The first equation simplifies to -2x+8 so p should be replaced with -2
