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Darya [45]
3 years ago
13

How to solve this I am very confused and have a test tomorrow

Mathematics
2 answers:
jeka57 [31]3 years ago
6 0
Hey, let's start if you know how to use PEMDAS, start with the parenthesis so you will want to distribute the 4 to the 'x' and the '+3' and for now leave the positive 16 alone. When you distribute (multiply) you should get 4x+12=16. Next you have to "isolate" the variable; so you are going to want to subtract the 12 from the sixteen, {dont forget that for the equation to be equal, you have to subtract the +12 from both sides.} This gives you 4x=4, from there divide by 4x on both sides because you are still trying to isolate that variable, which is x, so because they are multiplying 'x' by four you want to cancel that by dividing then your final answer should be x=1.
P.S. Plese let me know if I helped or not Good luck on your test! : )

Anastaziya [24]3 years ago
3 0
4(x+3) = 16

First divide by 4 on both sides

x+3 = 4
 
Then subtract 3 from both sides

x = 1

Then check your work 

4(1+3) = 16
4(4) = 16
16 = 16

Hope this helped! :)
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Well, if you want to get p by itself, you will have to multiply both sides by 5/2. 2/5 times 5/2 gives you 1p, or just p. 
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Against the wind a small plane flew 715 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What w
ZanzabumX [31]

Answer:

  360 mi/h

Step-by-step explanation:

The speed for the outbound trip was ...

  speed = distance/time = (715 mi)/(2 1/6 h) = 330 mi/h

The inbound speed was ...

  (715 mi)/(1 5/6 h) = 390 mi/h

The airspeed of the plane is the average of these two ground speeds, so is ...

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3 years ago
A rectangle is 25 feet long.Its area is 375 square feet. What is the width of the rectangle?
frosja888 [35]

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Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter
mezya [45]

Answer:

Dimensions: A=a\cdot b=256

Perimiter: P=2a+2b

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

A=a\cdot b=256

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

b=\frac{256}{a}

The function we want to optimize is the diameter.

We can express the diameter as:

P=2a+2b=2a+2*\frac{256}{a}

To optimize we can derive the function and equal to zero.

dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16

The minimum perimiter happens when both sides are of size 16 (a square).

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3 years ago
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Free_Kalibri [48]

Answer: 4 1/6

Step-by-step explanation:

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