The formula of an area of a rectangle:
A = wl
We have l = w - 4 and A = 21.
Substitute:
w(w - 4) = 21 <em>use distributive property</em>
(w)(w) + (w)(-4) = 21
w² - 4w = 21 <em>subtract 21 from both sides</em>
w² - 4w - 21 = 0
w² - 7w + 3w - 21 = 0
w(w - 7) + 3(w - 7) = 0
(w - 7)(w + 3) = 0 ↔ w - 7 = 0 ∨ w + 3 = 0
w = 7 ∨ w = -3 < 0
l = w - 4 → l = 7 - 4 = 3
<h3>Answer: the length = 3 u.</h3>
Answer:
9
Step-by-step explanation:
The mode is the number that occurs most often. The number nine occurs 4 times.
Answer:
h < 2
Step-by-step explanation:
Step 1: Distribute
10h + 40 < 60
Step 2: Subtract 40 on both sides
10h < 20
Step 3: Divide both sides by 10
h < 2
Answer: packages of buns: 100
packages of patties: 67
jars of pickles: 133
(100,67,133)
Step-by-step explanation: packages of buns: B
packages of patties: P
jars of pickles: J
B:P:J = 3:2:4
B + P + J = 300
Let x be the number we must multiply the numbers to obtain the quantity and keep the ratio.
Bx + Px + Jx = 300
3x + 2x + 4x = 300
x = 300/9
So,
3.300/9 = 100
2.300/9 = 66.6666
4.300/9 = 133.333
As we cannot buy 0.666 or 0.33 of patties and pickles, we round up
So: packages of buns: 100
packages of patties: 67
jars of pickles: 133
