Answer:
Speed of boat in still water = 11 miles per hour.
Step-by-step explanation:
Speed = distance / time
or
Distance= Speed * time
Let s be speed of the boat upstream and r be the speed of the river.
Then
Upstream speed= s- r = 60/6= 10 miles per hour
Downstream speed= s+r= 72/6= 12 miles per hour
Therefore
s-r= 10--------- equation A
s+r= 12--------- equation B
Adding equation A and Eq. b
s-r= 10--------- equation A
<u>s+r= 12--------- equation B </u>
<u>2s = 22 </u>
<u />
or
s= 22/2= 11 miles per hour.
Speed of boat in still water = 11 miles per hour.
Answer:
x=11/2
Step-by-step explanation:
4+5x‒7=10+3x‒2
5x‒3=8+3x
5x‒3x=8+3
2x=11
2x/2=11/2
x=11/2
Answer
16/9
Step-by-step explanation:
I don't know if this is right or not and I'm sry if its wrong
but 16/9 divided by 4 = 9/4
Answer:
Axis of symmetry is
C) x = 1
Step-by-step explanation:
we are given equation as

we can use axis of symmetry formula
Let's assume we are given quadratic equation as

Axis of symmetry is

now, we can compare both equations
and we get

now, we can find axis of symmetry



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