Answer:
347 people relating person male 3 given
Answer:
Smoothie = 3
Ice cream = 1.5
Step-by-step explanation:
2s + i = 7.5
3s + 2i = 12
subtract the equations
(3s + 2i) - (2s + i) = s + i
s + i = 4.5
2s + i = 7.5, so s must equal 3 (7.5 - 4.5)
If s = 3, then i is 1.5 (4.5 - 3.5)
To check, plug 3 and 1.5 into s and i.
2(3) + 1.5 = 7.5
6 + 1.5 = 7.5
7.5 = 7.5
3(3) + 2(1.5) = 12
9 + 3 = 12
12 = 12
Answer: the length is 11 cm.
The width is 7 cm.
Step-by-step explanation:
Let L represent the length of the rectangular plastic box.
Let W represent the width of the rectangular plastic box.
The area of the rectangular top of the box is 77 square cm. This means that
LW = 77- - - - - - - ;- - - -1
The plastic box has a length 4 cm longer than its width. This means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
(W + 4)W = 77
W² + 4W = 77
W² + 4W - 77 = 0
W² + 11W - 7W - 77 = 0
W(W + 11) - 7(W + 11) = 0
W - 7 = 0 or W + 11 = 0
W = 7 or W = - 11
Since the width cannot be negative, then W = 7cm
L = 77/7 = 11 cm
Answer:
k = - 6
Step-by-step explanation:
Since (x - 2) is a factor then x = 2 is a root
Substitute x = 2 into the polynomial and equate to zero, that is
2³ + k(2)² + 12(2) - 8 = 0
8 + 4k + 24 - 8 = 0
4k + 24 = 0 ( subtract 24 from both sides )
4k = - 24 ( divide both sides by 4 )
k = - 6
Answer:
18.1 cm
Step-by-step explanation:
AD segment breakup: 11=4+7
Pythagorean Theorem:
7^2+b^2=16^2
49+b^2=256
x^2=207
b=sqrt(207)
b=3sqrt(23)
Pythagorean Theorem:
11^2+3sqrt(23)^2=c^2
121+207=c^2
328=c^2
18.11=c
So the length of AC is around 18.1 cm
