Using the proportion given, there will be 57 catfish in the pond.
The proportion given to us is
5.7/20 = x/200
Cross multiply:
5.7*200 = 20*x
1140 = 20x
Divide both sides by 20:
1140/20 = 20x/20
57 = x
Answer:
8 + 1.50x + 0.75y = 19.25
Step-by-step explanation:
Let the number of additional inch = x
Let the number of toppings = y
From the question,
A 10-inch cheese pizza costs $8.
Each additional inch costs $1.50
Each additional topping costs $0.75.
The equation that represents Josh's pizza is when his total cost amounts to $19.25 is:
$8 + $1.50 × x + $0.75y = $19.25
8 + 1.50x + 0.75y = 19.25
The answer is 96 min, here is why:
x / 240 + x / 160 = 1
<span>2x + 3x = 480 </span>
<span>5x = 480 </span>
<span>x = 96 min
(</span><span>Drainage rate of first pipe = 480000/240 = 2000 l/min </span>
<span>Drainage rate of second tube = 480000/160 = 3000 l/min </span>
<span>Combined drainage rate = 5000 l/min </span>
<span>Time to drain = 480000/5000 = 96 min. )</span>
Answer:
Parallel: y=-4x-1
Perpendicular: y=-4x+13/2
Step-by-step explanation:
For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:
- If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-4(x--2)
y-7=-4x-8
y=-4x-1
- If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.
(y-7)=1/4(x--2)
y-7=1/4x-1/2
y=-4x+13/2
Answer:
The answer is 62.83
Step-by-step explanation: Just do 3.14 times 2 squared or 4 they are the same thing in this context then multiply 5 because that's your height.