Answer: x = 40 and y = 40
Step-by-step explanation:
We can write the equation for the area as: x*y = 1600
We can write the equation for the perimeter as: 2x + 2y = 160
An easy way to solve a question like this is to graph both equations on a graphing calculator, if you don't have one on you you can use Desmos
Graph both: y = 1600/x
and
y = 80 - x
Turns out you get x = 40 and y = 40
Answer:
4^2
Step-by-step explanation:
Al cuadrado en ingles significa "to square", asi que basicamente significa multiplica el numbero por si mismo 2 veces (4 x 4 = 16)
x = quarts of 30% acid solution
y = quarts of 65% solution
x + y = 175
Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So
0.3x + 0.65y = 0.55*175 = 96.25
That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.
Now solve for x and y:
x + y = 175 ==> y = 175 - x
0.3x + 0.65y = 96.25 ==> 0.3x + 0.65(175 - x) = 96.25
==> 0.3x + 113.75 - 0.65x = 96.25
==> 17.5 = 0.35x
==> x = 50 ==> y = 125
To do this we need to see how many degrees it dropped then divide by time (15 hr.).
52 - (-23)
75
75/15
5 deg/hr
Hope this helped!
Answer:
<em>-11, -10, -9, -8, -7, -6 and -5 </em>
Step-by-step explanation:
Given the inequality expressions
2x+9<0 and x>-12
2x+9<0
2x< 0-9
2x < -9
x < -9/2
x < -4.5
Since x >-12
-12 < x
Combining both inequalities
-12 <x < 4.5
<em>The integers between the intervals are -11, -10, -9, -8, -7, -6 and -5 </em>
