Answer:
dimension are 350 m and 350 m and
area is 122500 m²
Step-by-step explanation:
Given data
perimeter is 700 m
to find out
the largest area and its dimensions
solution
we consider x and y are the sides
so area is xy
perimeter is 2x+ y = 700
so we can say y = 700 -2x
so area will be = x (700 - 2x)
area = 700x - 2x²
we take derivative here and equal to zero
dA/dt = 700x - 2x²
700 - 4x = 0
x = 700/4
x = 175
so will be
y = 700 -2x
y = 700 -2(175)
y = 350
so dimension are 350 m and 350m
area is 122500 m²
Solution:
<u>Note that:</u>
- Given sentence: The difference between an integer p and (-5) is 1.
<u>Let's reread the sentence carefully.</u>
The difference between an integer p and (-5) is 1.
<u>Change the sign.</u>
<u>Subtract 5 both sides:</u>
- p + 5 = 1
- => p + 5 - 5 = 1 - 5
- => p = -4
Answer:
x ≥ -5
Step-by-step explanation:
15≥-3x
<em>switch sides</em>
<em>-3x≤15</em>
<em>Multiply both sides by -1 (reverse the inequality)</em>
<em>(-3x)(-1)≥15(-1)</em>
<em>Simplify</em>
<em>3x≥-15</em>
<em>Divide both sides by 3</em>
<em>3x/3≥ -15/3</em>
<em>Simplify</em>
<em>x≥ -5</em>
Answer: the maximum number of drinks Liam can buy is 4 without over exceeding his price limit.
work:
$3.50 for 5 tacos is $17.50
9 - 5 tacos = 4 drinks
4 drinks x $2 = $8
$17.50 + $8 = $25.50 out of $30 price limit
Answer:
8.5
Step-by-step explanation:
1/9=0.1111111111111
0.1111111111111=0.1
83=80 or 85
0.1*85=8.5
