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spin [16.1K]
4 years ago
6

Solve the following equation algebraically:

Mathematics
1 answer:
Reptile [31]4 years ago
5 0

Answer:

Step-by-step explanation:

divide by 3: x^2 = 4

Think you can finish that off now?

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a boat traveled 160 miles downstream and back. the trip downstream took 8 hours. the trip back took 40 hours. find the speed of
Nana76 [90]

Let speed of the boat in still water = x miles per hour

Let speed of the current = y miles per hour


When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)


now plug the given values in formula speed=distance/time

we get equation:

(x+y)=160/8

or x+y=20...(i)


When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)

now plug the given values in formula speed=distance/time

we get equation:

(x-y)=160/40

or x-y=4

or x=4+y...(ii)


plug value of x into (i)

4+y+y=20

4+2y=20

2y=16

y=8


plug value of y into (ii)

x=4+8=12


Hence final answer is given by:

Speed of the boat in still water = 12 miles per hour

Speed of the current = 8 miles per hour


4 0
3 years ago
Fill in the box to rewrite the expression 5x + 10<br> using the GCF.<br> 5x + 10 = (<br> x) + (5 •
zvonat [6]
The GCF is 5 so the new expression would be: 5(x+2)
7 0
3 years ago
The profit function of a manufacturer, in dollars, when x units of a certain commodity are produced and sold is given by
Annette [7]

Answer:

Derivative: P’(x) = 200 - 2x

If P’(x) = 0 , x = 100

Therefore P’ is positive and P increases until x = 100

So the maximum units to maximize profits is 100 units

And for 100 units the profit in dollar is:

20000 - 10000 = 10000

10000 dollars

4 0
3 years ago
I also need help on this one smh
AysviL [449]

Answer:

C. 176.6 Square feet (I think)

Step-by-step explanation:

I tried many different ways and got three of the answers above but I think this is the right one.

The equation to find area of a circular cone base: A= \pi r^2

  1. We are given the diameter (15 Feet) but we need to find the radius. So we use the diameter to radius formula: r = \frac{d}{2}
  2. Plug in numbers: r=\frac{15}{2} ≈ 7.5
  3. Use the Area formula now that you have radius: A=\pi 7.5^2
  4. Solve and get = a = 176.71458676
  5. Looking at the options the closest one to our answer (off by one-tenth) is C.

Sorry if you get this wrong. I tried lol.

7 0
3 years ago
I need help on this. Please someone help. I would appreciate it!
Step2247 [10]

Use the circular formula and divide the volume by 2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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